[Physics-informed Polynomial Chaos Expansion]

Added new feature entitled Physics-informed Polynomial Chaos Expansion constrained to adhere to the known physics of the model, combines the conventional experimental design with additional constraints from the physics of the model. The constraints are represented by set of differential equations and specified boundary conditions.

Description

Polynomial Chaos Expansion module now contains additional branch Physics-informed Polynomial Chaos Expansion containing 4 new classes: PdeData, PdePCE, ConstrainedPCE and ReducedPCE . Its application is presented in two new examples for pce.

How Has This Been Tested?

New unit test was added, code coverage is 92%.

Types of changes

[x] New feature (non-breaking change which adds functionality)

Checklist:

Go over all the following points, and put an x in all the boxes that apply. If you're unsure about any of these, don't hesitate to ask. We're here to help!

[x] My code follows the code style of this project.
[x] My change requires a change to the documentation.
[x] I have updated the documentation accordingly.
[x] I have read the CONTRIBUTING document.
[x] I have added tests to cover my changes.
[x] All new and existing tests passed.

SURGroup / UQpy

Feature/pc2 #229

[Physics-informed Polynomial Chaos Expansion]

Description

How Has This Been Tested?

Types of changes

Checklist: