SciML/ModelingToolkit.jl

Differential Equation Function Transformations

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#141 opened on May 29, 2019

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good first issuetransform

Description

Basic things like http://www.math.mcgill.ca/jakobson/courses/ma261/lecture5.pdf

This can really help enforce conditions like non-negativity since if your space doesn't allow it, then the numerical solver can guarantee it won't happen if it solves for exp(x) instead of x.

Contributor guide

Tech stack
None
Domain
backend
Issue type
feature
DifficultyEstimated implementation difficulty for a new contributor, from 1 for very small changes to 5 for expert-level work.
4
Estimated timeA rough time range for an experienced contributor to investigate, implement, test, and prepare a pull request.
over 1 week
Activity statusHow available the issue appears right now: fresh, active, stale, blocked, or waiting on maintainer input.
stale
ClarityHow clearly the issue explains the expected change, acceptance criteria, and next step.
needs investigation
Prerequisites
JuliaSymbolic mathematicsNumerical analysis
Newbie friendlinessA 1-100 score estimating how approachable this issue is for first-time contributors.
15
Research direction
Investigate existing symbolic transformation mechanisms in ModelingToolkit.jl, such as the `simplify` and `substitute` functions. Study the PDF for mathematical transformations like exp(x) to enforce non negativity. Propose an implementation strategy and discuss with maintainers in the issue to clarify scope and API design.