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Pseudo-spectral and sparse grid#39

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bowenszhu wants to merge 59 commits intoSciML:mainSciML/ModelOrderReduction.jl:mainfrom bowenszhu:pseudo-spectralCopy head branch name to clipboard

+1,147-14

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Commits on Jul 20, 2022

• develop automated polynomial chaos transformations

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Commits on Sep 21, 2022

• outline of mathematical approach for polynomial models

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  413523e

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Commits on Sep 25, 2022

• introduce PCE type and associated utilities

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• forgot to include PCE_utils.jl

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• symbolic pipeline to apply PCE ansatz to equations + Roadmap

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• tests for PCE (+ export PCE type)

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  ee6aa9e

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• extracting PCE expansion coefficients after applying PCE ansatz

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• test for ansatz application

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• introduce utilities to extract the basis indices (perhaps I should just generate a dict in the beginnign?)

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• test monomial extraction

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• evaluating inner products for galerkin projection

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• rm OrthoPoly functions -> not compatible with PolyChaos => consider PR to PolyChaos since that is really awkward

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  4ad852f

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• description of potential pr to PolyChaos

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• galerking projection

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• combining everything

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• pce for explicit ODEs

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• forgot to export moment_equations

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  eedee96

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• update potential interfaces agenda

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Commits on Sep 26, 2022

• test galerking projection

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• rm old file

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  c85f2b0

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• merge remote master

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  750cc94

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• restructure PCE tests

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  4e5d652

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• update testing environmnet

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  06a0e98

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• move dependencies to respective tests for easier bookkepping

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  2bc23b8

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• bug fix: constant terms were omitted in coefficient extraction and galerkin projection

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  3b7f8a3

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Commits on Sep 27, 2022

• tutorial docs

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  9cfb203

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• fix naming conflict for SVD in tests

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  0a97073

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• fix typo in tutorial

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  db21b2f

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• replace allequal call

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  02d20cc

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• SciML format

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  ac41583

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• fix typos in PCE utils

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  7ae4754

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• test bump_degree for different OPs + some minor changes

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• SciML format

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Commits on Sep 28, 2022

• rm recursion coefficient methods as they are not needed in current implementation

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• rm recursion coefficient methods as they are not needed in current implementation

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  d395638

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• support for generic orthogonal polynomials

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  7546a75

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• fixed error in coefficient extraction (symbolic constant parts!)

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  ceba828

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• test for moment equations + more challenging test equation + minor bug fixes

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  6fa5101

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• SciML format

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  06cd417

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• fix bug

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  73d89de

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• fix apply_ansatz test

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Commits on Oct 13, 2022

• merge master

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• run SciML formatter

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Commits on Oct 14, 2022

• include normalization in galerkin_projection

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• doc strings

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• bug fix

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  a6708dd

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Commits on Oct 15, 2022

• TensorProductOrthoPoly introduced

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• change code base to TensorProductOrthoPoly

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• SciML format

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Commits on Oct 16, 2022

• TensorProductOrthoPoly and ancillary tests + minor adjustments

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• SciML format

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Commits on Oct 17, 2022

• rm field bases_dict

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• rm sym_to_pc and inverse dict => goal: denser code

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• rename bases => uni_basis, pc_basis => tensor_basis and added some type information

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• SciML format

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• Merge branch 'main' into PolyChaos for easier pr merging.

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• adjust tutorial for new field names

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• SciML format again ...

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Commits on Oct 26, 2022

• Create Pseudo-spectral function

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