MATLAB® Test Report
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Timestamp: |
07-Nov-2024 17:55:42 |
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Host: |
fv-az1383-5 |
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Platform: |
glnxa64 |
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MATLAB Version: |
24.2.0.2740171 (R2024b) Update 1 |
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Number of Tests: |
27 |
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Testing Time: |
403.7863 seconds |
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Overall Result: |
PASSED |
Overview
/home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/
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141.0084 seconds |
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262.7778 seconds |
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Details
/home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/
SmokeTests
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=BatteryThermalModel.mlx
The test passed. Duration: 10.2865 seconds
Event:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:49:03 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_c824fa40-9c7f-407e-bfbf-d7601ad85b16.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=BatteryThermalModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Classification.mlx
The test passed. Duration: 2.1969 seconds
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Diffusion.mlx
The test passed. Duration: 1.3810 seconds
Event:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:49:08 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_6cbd84e2-822a-43c6-983d-18fadacfeb82.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=Diffusion.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=FiniteDifference.mlx
The test passed. Duration: 24.3703 seconds
Events:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:49:32 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_10841f4b-e734-47d7-98ae-2ee8b32d9605.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=FiniteDifference.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:49:32 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_ec857def-237e-4f3a-937c-07f0cc00e742.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=FiniteDifference.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:49:32 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_fb3c3ac5-d0a6-4de4-aa38-139fabe2685b.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=FiniteDifference.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=ImplementExplicitSolver.mlx
The test passed. Duration: 1.9701 seconds
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=MethodOfCharacteristics.mlx
The test passed. Duration: 72.9210 seconds
Events:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:50:46 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_e886bb7f-8d92-457d-ae27-f384f1e66c7f.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:50:47 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_d3eff99e-6173-4775-8e6c-55a9d9803e43.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:50:47 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_b0400a4e-1505-4b2f-8d95-86a675e88715.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:50:47 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_009b1726-f86d-4a9d-aaae-25dfc72ff9ed.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:50:47 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_1e70aec3-cbde-44b0-b033-e65c03644d9e.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:50:48 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_e2cba6d0-5a6a-44dd-a579-d1e8bc7c488b.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:50:48 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_97c32395-e338-4564-9cdd-40f1c0640dcf.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=ReactionDiffusion.mlx
The test passed. Duration: 15.7875 seconds
Event:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:51:02 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_968d434a-cbb2-4b59-b37f-cd704925517d.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=ReactionDiffusion.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=TrafficModel.mlx
The test passed. Duration: 7.0779 seconds
Event:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:51:11 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_75f011cd-0228-4c07-bd6d-c2fee43d23a5.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Ultrasound.mlx
The test passed. Duration: 5.0171 seconds
Event:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:51:16 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_a61fd0dc-3940-423e-824a-9c90fae80da6.png
Event Location: SmokeTests[Project=matlab.project.Project]/SmokeRun(File=Ultrasound.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SmokeTests.m (SmokeTests.SmokeRun) at 94 |
(Overview)
SolnSmokeTests
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=BatteryThermalModel.mlx
The test passed. Duration: 0.0647 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Classification.mlx
The test passed. Duration: 0.0060 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Diffusion.mlx
The test passed. Duration: 0.0055 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=FiniteDifference.mlx
The test passed. Duration: 0.0053 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=ImplementExplicitSolver.mlx
The test passed. Duration: 0.0077 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=MethodOfCharacteristics.mlx
The test passed. Duration: 0.0050 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=ReactionDiffusion.mlx
The test passed. Duration: 0.0050 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=TrafficModel.mlx
The test passed. Duration: 0.0052 seconds
(Overview)
ExistSolns
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Ultrasound.mlx
The test passed. Duration: 0.0050 seconds
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=BatteryThermalModel.mlx
The test passed. Duration: 5.7988 seconds
Event:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:51:22 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_849a5576-f8c9-44d0-a1ac-1b05d45e76d0.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=BatteryThermalModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Classification.mlx
The test passed. Duration: 0.9366 seconds
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Diffusion.mlx
The test passed. Duration: 2.8913 seconds
Event:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:51:24 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_8ccc65c3-675d-4af3-8b89-b22628236c48.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=Diffusion.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=FiniteDifference.mlx
The test passed. Duration: 93.9411 seconds
Events:
Diagnostic logged.
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Timestamp: 07-Nov-2024 17:52:59 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_79fe2f9a-d0fa-4a21-b1fa-ed8e719cb449.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=FiniteDifference.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:52:59 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_50b8237b-598c-4e5c-94e2-e0ac1bf6c13e.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=FiniteDifference.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:53:00 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_5a00660e-39e3-4eba-a579-6a05f309e975.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=FiniteDifference.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=ImplementExplicitSolver.mlx
The test passed. Duration: 1.9272 seconds
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=MethodOfCharacteristics.mlx
The test passed. Duration: 60.1378 seconds
Events:
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:00 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_ea1f4d3b-05d4-4078-8f02-1d625fc40bbd.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:00 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_c0421ca9-ec90-4861-ba68-c7199222fae1.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:01 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_1ba496cc-4525-416d-815d-24e165917f17.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:01 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_89084677-e11c-489c-897f-a1eb899051ad.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:01 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_4d0a4639-514f-407b-adec-97b37935b1e6.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:02 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_c9caa0fb-fa6f-4be9-8b6b-3f38cdba036e.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:02 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_6fd25e56-f96a-41ca-8bcb-0b9baa25ea20.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=MethodOfCharacteristics.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=ReactionDiffusion.mlx
The test passed. Duration: 17.7030 seconds
Event:
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:54:18 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_473623e6-ee65-4e09-a04f-a5cef3a796aa.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=ReactionDiffusion.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=TrafficModel.mlx
The test passed. Duration: 70.5539 seconds
Events:
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:28 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_e9b1a073-e4ea-4b41-a82c-0acc3c347517.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:28 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_93701f03-05b1-4f69-a50b-bec6a73a9600.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:29 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_776444a7-b77c-49a6-9f58-595244b888b6.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:29 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_23604bbc-68fc-42a1-8e15-75d69e99406a.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:29 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_ef7c5996-bb60-41d2-a20b-0fbd9a401139.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:29 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_2c613f36-9225-45d8-8cad-ba1117555be0.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:30 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_be9f87b9-d9d5-4f93-be31-77d71eae3d59.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:30 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_4506807a-9ad4-4a1c-a08d-15d7fb835bb6.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=TrafficModel.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
(Overview)
SmokeRun
Class Setup Parameters: Project=matlab.project.Project
Test Parameters: File=Ultrasound.mlx
The test passed. Duration: 8.7789 seconds
Event:
Diagnostic logged.
|
Timestamp: 07-Nov-2024 17:55:39 Verbosity: Terse Logged Diagnostic: Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_9a1385e1-4252-4075-9c63-f23c152dcd26.png
Event Location: SolnSmokeTests[Project=matlab.project.Project]/SmokeRun(File=Ultrasound.mlx) Stack: In /home/runner/work/Applied-PDEs/Applied-PDEs/SoftwareTests/SolnSmokeTests.m (SolnSmokeTests.SmokeRun) at 110 |
(Overview)
Command Window Text
Running SmokeTests >> Running BatteryThermalModel.mlx This is the default value. Please select and order and a method. This is neither the correct order nor the correct method. This is the default value. Please select and order and a method. This is neither the correct order nor the correct method. This is the default value. Please select and order and a method. This is neither the correct order nor the correct method. This is a default value. Please select non-default values to continue. This is a default value. Please select non-default values to continue. This is a default value. Please select non-default values to continue. You have not yet updated the correct boundary condition. ans = 22.9809 [Terse] Diagnostic logged (2024-11-07 17:49:03): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_c824fa40-9c7f-407e-bfbf-d7601ad85b16.png .>> Running Classification.mlx 10*u(t, x) + 10*diff(u(t, x), t)*diff(u(t, x), x) + 8*diff(u(t, x), t, t) == 9*diff(u(t, x), x, x) This is the default. Please select a classification. 11*t + 6*diff(u(t, x), t)*diff(u(t, x), x) + 10*diff(u(t, x), t, t) == diff(u(t, x), x, x) This is incorrect. What is the discriminant? .>> Running Diffusion.mlx You have not found the correct values for the quench times. Please check your implementation and the values you have set for t_end900, t_end1000, etc. [Terse] Diagnostic logged (2024-11-07 17:49:08): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_6cbd84e2-822a-43c6-983d-18fadacfeb82.png .>> Running FiniteDifference.mlx linearityOfP = "unknown" This is the default value of the dimensionality. Please select the correct option. This is the default value of the order. Please select the correct option. This is the default value of the linearity. Please select the correct option. fFunc(x) = piecewise(x <= 1, 2*x, x in Dom::Interval(1, [2]), 5 - 3*x, x in Dom::Interval(2, [3]), -1, 3 < x, 2*x - 7) [Terse] Diagnostic logged (2024-11-07 17:49:32): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_10841f4b-e734-47d7-98ae-2ee8b32d9605.png [Terse] Diagnostic logged (2024-11-07 17:49:32): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_ec857def-237e-4f3a-937c-07f0cc00e742.png [Terse] Diagnostic logged (2024-11-07 17:49:32): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_fb3c3ac5-d0a6-4de4-aa38-139fabe2685b.png .>> Running ImplementExplicitSolver.mlx betaFunc(t) = piecewise(t in Dom::Interval([0], 1/2), t, t in Dom::Interval([1/2], [1]), 1 - t, symtrue, 0) Please change the value from the default. The matrix has positive size. This is the default value. Please try again with a positive step size. ans = 4 2 0 3 4 2 0 3 4 Arows = 0 Acols = 0 Looking good! This is the default value of A. Please fix it. This is the default solution. Please solve the problem. This is the default value. Please solve the problem. .>> Running MethodOfCharacteristics.mlx diff(u(x, t), t) - 4*diff(u(x, t), x) == 0 x == - 4*t + 4*t0 + x0 x == - 4*t + x0 x0 == 4*t + x CharSoln = u(x, t) == f(4*t + x) u(x, 0) == f(x) u(x, t) = exp(-(4*t + x)^2) This is the initial condition, not the solution to the PDE. Please try the problem. Part b is incorrect. Please try again. Part c is incorrect. Please try again. The partial differential equation is: 1*diff(u(x, t), t) + (- c*t^2 + 1)*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == piecewise(x < -1, 0, x in Dom::Interval([-1], [0]), x + 1, x in Dom::Interval(0, [1]), - x + 1, symtrue, 0) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(U(s), s) == 0 with U(0) == u0 we see that: u(x, t) == u0. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and by solving diff(X(s), s) == - c*T(s)^2 + 1 with X(0) == x0 we calculate that x == t + x0 - (c*t^3)/3. Therefore, the characteristic value is x0 == - t + x + (c*t^3)/3, and the solution is u(x, t) == piecewise(x + (c*t^3)/3 + 1 < t, 0, - t + x + (c*t^3)/3 in Dom::Interval([-1], [0]), - t + x + (c*t^3)/3 + 1, - t + x + (c*t^3)/3 in Dom::Interval(0, [1]), t - x - (c*t^3)/3 + 1, symtrue, 0) The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == piecewise(x < -1, 0, x in Dom::Interval([-1], [0]), x + 1, x in Dom::Interval(0, [1]), - x + 1, symtrue, 0) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(U(s), s) == 0 with U(0) == u0 we see that: u(x, t) == u0. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == piecewise(x - t*u0 < -1, 0, x - t*u0 in Dom::Interval([-1], [0]), x - t*u0 + 1, x - t*u0 in Dom::Interval(0, [1]), - x + t*u0 + 1, symtrue, 0) t == s + t0 x == tan(atan(x0) + int(T(y), y, 0, s, 'IgnoreSpecialCases', true, 'IgnoreAnalyticConstraints', true)) x == tan(atan(x0) + ((t + t0)*(t - t0))/2) x0 == tan(atan(x) + k*pi - t^2/2 + t0^2/2) -pi < 2*pi*(k - t^2/(2*pi) + t0^2/(2*pi) + atan(x)/pi) & in(k, 'integer') & 2*pi*(k - t^2/(2*pi) + t0^2/(2*pi) + atan(x)/pi) < pi CharSoln2 = u(x, t) == f(tan(- t^2/2 + t0^2/2 + atan(x))) u(x, t0) == f(x) u(x, t) = exp(-tan(- t^2/2 + atan(x))^2) xFun(t, x0) = tan(t^2/2 + atan(x0)) [Terse] Diagnostic logged (2024-11-07 17:50:46): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_e886bb7f-8d92-457d-ae27-f384f1e66c7f.png [Terse] Diagnostic logged (2024-11-07 17:50:47): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_d3eff99e-6173-4775-8e6c-55a9d9803e43.png [Terse] Diagnostic logged (2024-11-07 17:50:47): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_b0400a4e-1505-4b2f-8d95-86a675e88715.png [Terse] Diagnostic logged (2024-11-07 17:50:47): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_009b1726-f86d-4a9d-aaae-25dfc72ff9ed.png [Terse] Diagnostic logged (2024-11-07 17:50:47): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_1e70aec3-cbde-44b0-b033-e65c03644d9e.png [Terse] Diagnostic logged (2024-11-07 17:50:48): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_e2cba6d0-5a6a-44dd-a579-d1e8bc7c488b.png [Terse] Diagnostic logged (2024-11-07 17:50:48): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_97c32395-e338-4564-9cdd-40f1c0640dcf.png .>> Running ReactionDiffusion.mlx Results computed. [Terse] Diagnostic logged (2024-11-07 17:51:02): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_968d434a-cbb2-4b59-b37f-cd704925517d.png .>> Running TrafficModel.mlx The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == exp(-x^2) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and therefore s == t. By solving diff(U(s), s) == 0 with U(0) == u0 we have u(x, t) == u0 and plugging in our expression for s, we see that: u(x, t) == u0. and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == exp(-(x - t*u0)^2) Is there an empty region with the green light initial condition? Did you complete Exercise 1? Where are there rarefactions? Please select initial conditions that generate a rarefaction. f(x) == exp(-x^2) Please recalculate yStar and minimize rounding. Please recalculate tStar and minimize rounding. Please recalculate xStar and minimize rounding. You must complete Exercise 3 before plotting the result. [Terse] Diagnostic logged (2024-11-07 17:51:11): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_75f011cd-0228-4c07-bd6d-c2fee43d23a5.png .>> Running Ultrasound.mlx The fetus is 0 cm from the transducer. This is the default value of L1. This is the default value. Please update the value of FetalDistance with your computed result. Z_SoftTissue = 0 Z_AmnioticFluid = 0 R_1 = 0 tau_1 = 0 R_2 = 0 tau_2 = 0 These are the default values for Z, R, and tau. Please compute the values and submit them for checking. These are the default values. Which of these are necessary to solve the problem? This is the default value. Please consider the question and answer yes or no. [Terse] Diagnostic logged (2024-11-07 17:51:16): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_a61fd0dc-3940-423e-824a-9c90fae80da6.png . Done SmokeTests __________ Running SolnSmokeTests .........>> Running BatteryThermalModelSoln.mlx This is correct. This is correct. This is correct. Part a) You have selected a temporal loop. This is correct. Part b) You have selected T(r, 0, t) == 20 + 0.01*t This is correct. Part c) You have selected T(Nr,:,kTime+1) = 6*dr + T(Nr-1,:,kTime+1) This is correct. You have correctly updated the boundary conditions. ans = 55.4262 [Terse] Diagnostic logged (2024-11-07 17:51:22): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_849a5576-f8c9-44d0-a1ac-1b05d45e76d0.png . >> Running ClassificationSoln.mlx 5*diff(u(t, x), t)*diff(u(t, x), x) + 2*diff(u(t, x), t, t) == 7*diff(u(t, x), t) + 3*diff(u(t, x), x, x) This is incorrect. What is the discriminant? 8*diff(u(t, x), t, t) + 12*diff(u(t, x), x, x) == 9*u(t, x) + 11*diff(u(t, x), t)*diff(u(t, x), x) This is incorrect. What is the discriminant? .>> Running DiffusionSoln.mlx At T = 900K, the time to quench is 7590.5 seconds At T = 1000K, the time to quench is 1169.5 seconds At T = 1100K, the time to quench is 253.5 seconds At T = 1200K, the time to quench is 214.5 seconds Good work! You have accurately estimated the diffusion. [Terse] Diagnostic logged (2024-11-07 17:51:24): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_8ccc65c3-675d-4af3-8b89-b22628236c48.png .>> Running FiniteDifferenceSoln.mlx linearityOfP = "linear" Part a) is correct. There are three spatial dimensions in this problem: x, y, and z Part b) is correct. Yes, this is a second order PDE. Part c) is correct. fFunc(x) = piecewise(x <= 1, 2*x, x in Dom::Interval(1, [2]), 5 - 3*x, x in Dom::Interval(2, [3]), -1, 3 < x, 2*x - 7) [Terse] Diagnostic logged (2024-11-07 17:52:59): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_79fe2f9a-d0fa-4a21-b1fa-ed8e719cb449.png [Terse] Diagnostic logged (2024-11-07 17:52:59): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_50b8237b-598c-4e5c-94e2-e0ac1bf6c13e.png [Terse] Diagnostic logged (2024-11-07 17:53:00): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_5a00660e-39e3-4eba-a579-6a05f309e975.png .>> Running ImplementExplicitSolverSoln.mlx betaFunc(t) = piecewise(t in Dom::Interval([0], 1/2), t, t in Dom::Interval([1/2], [1]), 1 - t, symtrue, 0) That is correct. Please go on to part b). That is a reasonable choice. Your solution will be stable. Your solution maximizes the step size that will reach tEnd. You should proceed to the next problem. ans = 3 -1 0 0 0 2 3 -1 0 0 0 2 3 -1 0 0 0 2 3 -1 0 0 0 2 3 ans = 0.0000 0.5000 0 0 0 0.5000 0.0000 0.5000 0 0 0 0.5000 0.0000 0.5000 0 0 0 0.5000 0.0000 0.5000 0 0 0 0.5000 0.0000 Arows = 39 Acols = 39 Looking good! Your A is correct. Continue on to part e). Your u0 is correct. Please continue and put all the pieces together. Good work. This is the correct value of b^(j) in this case. .>> Running MethodOfCharacteristicsSoln.mlx diff(u(x, t), t) - 4*diff(u(x, t), x) == 0 x == - 4*t + 4*t0 + x0 x == - 4*t + x0 x0 == 4*t + x CharSoln = u(x, t) == f(4*t + x) u(x, 0) == f(x) u(x, t) = exp(-(4*t + x)^2) Part a is correct. Part b is correct. Part c is correct. The partial differential equation is: 1*diff(u(x, t), t) + (- c*t^2 + 1)*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == piecewise(x < -1, 0, x in Dom::Interval([-1], [0]), x + 1, x in Dom::Interval(0, [1]), - x + 1, symtrue, 0) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(U(s), s) == 0 with U(0) == u0 we see that: u(x, t) == u0. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and by solving diff(X(s), s) == - c*T(s)^2 + 1 with X(0) == x0 we calculate that x == t + x0 - (c*t^3)/3. Therefore, the characteristic value is x0 == - t + x + (c*t^3)/3, and the solution is u(x, t) == piecewise(x + (c*t^3)/3 + 1 < t, 0, - t + x + (c*t^3)/3 in Dom::Interval([-1], [0]), - t + x + (c*t^3)/3 + 1, - t + x + (c*t^3)/3 in Dom::Interval(0, [1]), t - x - (c*t^3)/3 + 1, symtrue, 0) The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == piecewise(x < 0, 0, symtrue, 13/10) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(U(s), s) == 0 with U(0) == u0 we see that: u(x, t) == u0. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == piecewise(x - t*u0 < 0, 0, symtrue, 13/10) t == s + t0 x == tan(atan(x0) + int(T(y), y, 0, s, 'IgnoreSpecialCases', true, 'IgnoreAnalyticConstraints', true)) x == tan(atan(x0) + ((t + t0)*(t - t0))/2) x0 == tan(atan(x) + k*pi - t^2/2 + t0^2/2) -pi < 2*pi*(k - t^2/(2*pi) + t0^2/(2*pi) + atan(x)/pi) & in(k, 'integer') & 2*pi*(k - t^2/(2*pi) + t0^2/(2*pi) + atan(x)/pi) < pi CharSoln2 = u(x, t) == f(tan(- t^2/2 + t0^2/2 + atan(x))) u(x, t0) == f(x) u(x, t) = cos(2*tan(- t^2/2 + atan(x))) + 3*sin(6*tan(- t^2/2 + atan(x))) xFun(t, x0) = tan(t^2/2 + atan(x0)) [Terse] Diagnostic logged (2024-11-07 17:54:00): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_ea1f4d3b-05d4-4078-8f02-1d625fc40bbd.png [Terse] Diagnostic logged (2024-11-07 17:54:00): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_c0421ca9-ec90-4861-ba68-c7199222fae1.png [Terse] Diagnostic logged (2024-11-07 17:54:01): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_1ba496cc-4525-416d-815d-24e165917f17.png [Terse] Diagnostic logged (2024-11-07 17:54:01): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_89084677-e11c-489c-897f-a1eb899051ad.png [Terse] Diagnostic logged (2024-11-07 17:54:01): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_4d0a4639-514f-407b-adec-97b37935b1e6.png [Terse] Diagnostic logged (2024-11-07 17:54:02): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_c9caa0fb-fa6f-4be9-8b6b-3f38cdba036e.png [Terse] Diagnostic logged (2024-11-07 17:54:02): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_6fd25e56-f96a-41ca-8bcb-0b9baa25ea20.png .>> Running ReactionDiffusionSoln.mlx Results computed. [Terse] Diagnostic logged (2024-11-07 17:54:18): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_473623e6-ee65-4e09-a04f-a5cef3a796aa.png .>> Running TrafficModelSoln.mlx The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == exp(-x^2) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and therefore s == t. By solving diff(U(s), s) == 0 with U(0) == u0 we have u(x, t) == u0 and plugging in our expression for s, we see that: u(x, t) == u0. and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == exp(-(x - t*u0)^2) Elapsed time is 0.898363 seconds. The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == pi/2 - atan(x) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and therefore s == t. By solving diff(U(s), s) == 0 with U(0) == u0 we have u(x, t) == u0 and plugging in our expression for s, we see that: u(x, t) == u0. and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == pi/2 - atan(x - t*u0) The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == sin(x) + 1 By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and therefore s == t. By solving diff(U(s), s) == 0 with U(0) == u0 we have u(x, t) == u0 and plugging in our expression for s, we see that: u(x, t) == u0. and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == sin(x - t*u0) + 1 The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == piecewise(x < -1, 0, symtrue, 1/2) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and therefore s == t. By solving diff(U(s), s) == 0 with U(0) == u0 we have u(x, t) == u0 and plugging in our expression for s, we see that: u(x, t) == u0. and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == piecewise(x - t*u0 < -1, 0, symtrue, 1/2) The partial differential equation is: 1*diff(u(x, t), t) + u*diff(u(x, t), x) + 0 == 0 with initial data: u(x, 0) == piecewise(x < -1, 1/2, symtrue, 0) By choosing s to represent the parametric variable, we can write: U(s) == u(x, t), and T(s) == t, and X(s) == x. By solving diff(T(s), s) == 1 with T(0) == 0 we calculate that t == s, and therefore s == t. By solving diff(U(s), s) == 0 with U(0) == u0 we have u(x, t) == u0 and plugging in our expression for s, we see that: u(x, t) == u0. and by solving diff(X(s), s) == u0 with X(0) == x0 we calculate that x == x0 + t*u0. Therefore, the characteristic value is x0 == x - t*u0, and the solution is u(x, t) == piecewise(x - t*u0 < -1, 1/2, symtrue, 0) That is correct. The only initial condition in this set that generates a rarefaction region is the green light. The space-time point where the rarefaction region begins is identified by a star. The filled region identifies the space-time values where there are no paths back to the initial conditions, and therefore no solutions in this region: To resolve the rarefaction, define solutions in this region. tStar looks correct. xStar looks correct. Yes, xPlus(t) == - 1 + t/2 is correct. Yes, xMinus(t) == -1 is correct. Exercise 2 is correct, please continue. f(x) == piecewise(x < -1, 2, symtrue, 0) Yes, that is within tolerance for yStar. Yes, that is within tolerance for tStar. Yes, that is within tolerance for xStar. f(x) == pi/2 - atan(x) Yes, that is within tolerance for yStar. Yes, that is within tolerance for tStar. Yes, that is within tolerance for xStar. f(x) == exp(-x^2) Yes, that is within tolerance for yStar. Yes, that is within tolerance for tStar. Yes, that is within tolerance for xStar. f(x) == sin(x) + 1 Yes, that is within tolerance for yStar. Yes, that is within tolerance for tStar. Yes, that is within tolerance for xStar. [Terse] Diagnostic logged (2024-11-07 17:55:28): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_e9b1a073-e4ea-4b41-a82c-0acc3c347517.png [Terse] Diagnostic logged (2024-11-07 17:55:28): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_93701f03-05b1-4f69-a50b-bec6a73a9600.png [Terse] Diagnostic logged (2024-11-07 17:55:29): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_776444a7-b77c-49a6-9f58-595244b888b6.png [Terse] Diagnostic logged (2024-11-07 17:55:29): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_23604bbc-68fc-42a1-8e15-75d69e99406a.png [Terse] Diagnostic logged (2024-11-07 17:55:29): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_ef7c5996-bb60-41d2-a20b-0fbd9a401139.png [Terse] Diagnostic logged (2024-11-07 17:55:29): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_2c613f36-9225-45d8-8cad-ba1117555be0.png [Terse] Diagnostic logged (2024-11-07 17:55:30): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_be9f87b9-d9d5-4f93-be31-77d71eae3d59.png [Terse] Diagnostic logged (2024-11-07 17:55:30): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_4506807a-9ad4-4a1c-a08d-15d7fb835bb6.png .>> Running UltrasoundSoln.mlx FetalDistance = 3.4170 The fetus is 3.417 cm from the transducer. You have the correct value of L1. Yes, that is the fetal distance in cm. Z_SoftTissue = 1617000 Z_AmnioticFluid = 1510000 R_1 = -0.0342 tau_1 = 1.0342 R_2 = 0.0342 tau_2 = 0.9658 Yes, the acoustic impedance of soft tissue is 1617000 kg/m^2/s. Yes, the acoustic impedance of amniotic fluid is 1510000 kg/m^2/s. Yes, the reflectance R_1 is -0.034218. Yes, the transmittance tau_1 is 1.0342. Yes, the reflectance R_2 is 0.034218. Yes, the transmittance tau_2 is 0.96578. Exercise 3 is correct. The discretization is necessary to work numerically. The finite difference approximations to the derivatives are in the method name. The initial value is required to start the method. The initial derivative is required to start the method. The x=0 boundary value defines the left endpoint. The x=L boundary value defines the right endpoint. Some information about how the solutions mix at the internal boundary is also required. Absolutely. There are a variety of concerning problems with this implementation. For one, we didn't include any information about boundary conditions at the interface! For another, there is a very strong Gibbs phenomenon displayed in this solution. [Terse] Diagnostic logged (2024-11-07 17:55:39): Figure saved to: --> /tmp/37b3f554-ba65-4c43-99f7-9d0163a4a9e3/Figure_9a1385e1-4252-4075-9c63-f23c152dcd26.png . Done SolnSmokeTests __________