SciML/MethodOfLines.jl

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Automatic Finite Difference PDE solving with Julia SciML

Stars: 209
Forks: 41
Open beginner issues: 0
Indexed issues: 97
Avg merge: 18h 34m
Merged PRs (30d): 45

Dominant language: Julia
License: MIT
Last GitHub push: Sep 16, 2026
Latest indexed: Sep 19, 2026
Contributing guide: Contributing guide
Code of conduct: Code of conduct
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97 open issues indexed

DAEProblem path: remake(prob; p) does not carry a parameter into the initial condition Open

Difficulty 4/5 3-5 days Newbie friendliness 55/100

SciML/MethodOfLines.jl#697 · Opened Sep 13, 2026
Complex equations are split wrongly: im * Dt(ψ) ~ Dxx(ψ) discretizes to -Dxx(Re ψ) ~ 0 and Dt(Im ψ) ~ 0 Open

Difficulty 4/5 3-5 days Newbie friendliness 58/100

SciML/MethodOfLines.jl#696 · Opened Sep 13, 2026
Keep discretized dependent variables as array-valued unknowns instead of scalarizing per grid point Open

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/MethodOfLines.jl#695 · 1 comment · Opened Sep 13, 2026
Array-form DAE codegen is scalarized: discretize and first-call compile time grow superlinearly with resolution Open

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/MethodOfLines.jl#691 · Opened Sep 11, 2026
Pure reaction equation on a four-point grid triggers unnecessary six-point boundary extrapolation Open

Difficulty 3/5 1-2 days Newbie friendliness 76/100

SciML/MethodOfLines.jl#677 · Opened Sep 5, 2026
Support external input fields in scalarized method-of-lines systems Open

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/MethodOfLines.jl#627 · Opened Aug 9, 2026
Tracking: discretization patterns that still use pointwise equations Open

performance

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/MethodOfLines.jl#623 · 6 comments · Opened Aug 8, 2026
Feature: Grid adaptivity roadmap Open

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/MethodOfLines.jl#610 · 1 comment · Opened Jul 22, 2026
WENO + lower Dirichlet BC: UndefVarError `u` in initialization-system observed function since #594 Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 48/100

SciML/MethodOfLines.jl#606 · Opened Jul 16, 2026
Edge-aligned grid numerics changed since #594: Diffusion Test 03 conservation assertion now flaky at its 1e-9 atol Open

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/MethodOfLines.jl#605 · Opened Jul 16, 2026
RuleRewriteError: Chebyshev grid + UpwindScheme fails for parameterized advection terms Open

Difficulty 4/5 3-5 days Newbie friendliness 52/100

SciML/MethodOfLines.jl#540 · 2 comments · Opened Mar 25, 2026
Providing an initial guess for the nonlinear solving? Open

question

Difficulty 3/5 1-2 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#530 · 1 comment · Opened Feb 28, 2026
Units don't work correctly Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#511 · Opened Feb 9, 2026
Wave equation staggered grid tests (Mixed BC, Periodic BC) produce incorrect results Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#508 · Opened Feb 8, 2026
Docs: Example in "Adding parameters" -> "Remake with different parameter values" fails Open

bug

Difficulty 3/5 1-2 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#462 · 2 comments · Opened Aug 24, 2025
Clarification on interface boundary warning and symbolic transformation in MethodOfLines.jl Open

question

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#450 · 1 comment · Opened Jun 10, 2025
Identifying variable indexes after discretization Open

question

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#440 · 1 comment · Opened May 2, 2025
schroedinger example solution blows up Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 32/100

SciML/MethodOfLines.jl#435 · 3 comments · Opened Feb 20, 2025
PIDE over space with variable as **lower** limit of interval? Open

question

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/MethodOfLines.jl#432 · 1 comment · Opened Nov 18, 2024
Discretization failed (no method matching getmetadata(...)) Open

Difficulty 3/5 1-2 days Newbie friendliness 38/100

SciML/MethodOfLines.jl#427 · 9 comments · Opened Nov 12, 2024
ArgumentError: Differential w.r.t. multiple variables Any[0.030,....] are not allowed. Open

bug

Difficulty 3/5 1-2 days Newbie friendliness 30/100

SciML/MethodOfLines.jl#405 · Opened Jul 31, 2024
MethodOfLines issue with coupled non-linear PDE system Open

question

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#398 · Opened Jun 16, 2024
System of PDEs `solve` error Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#387 · Opened Apr 19, 2024
"ExtraVariablesSystemException: The system is unbalanced" Error while solving a PDE! Open

question

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#383 · 4 comments · Opened Mar 26, 2024
PDESystem & arguments Open

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/MethodOfLines.jl#382 · Opened Mar 13, 2024
PDAE example Open

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/MethodOfLines.jl#381 · 5 comments · Opened Mar 11, 2024
MOL & BoundaryConditions Open

question

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/MethodOfLines.jl#379 · 3 comments · Opened Mar 9, 2024
Error with test/pde_systems/MOL_1D_Interface_Nonlinear.jl Open

bug

Difficulty 3/5 1-2 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#378 · Opened Mar 6, 2024
Equation + State mismatch dependent on grid spacing Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#371 · Opened Feb 21, 2024
`discretize` errrors when a subset of equations have no time derivatives Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#370 · 5 comments · Opened Feb 21, 2024
Package installation error Open

Difficulty 3/5 1-2 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#360 · 1 comment · Opened Jan 28, 2024
Move to using SymbolicUtils chains Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#359 · Opened Jan 26, 2024
Symbolic tracing in staggered grid can return Nans Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#352 · Opened Jan 13, 2024
Interpolate grid values for staggered grid discretization Open

Difficulty 5/5 Over a week Newbie friendliness 30/100

SciML/MethodOfLines.jl#351 · Opened Jan 13, 2024
ArgumentError: Differential w.r.t. multiple variables Any[t, ...] are not allowed. Open

question

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#350 · 2 comments · Opened Jan 4, 2024
type PDESystem has no field analytic Open

bug

Difficulty 1/5 Under an hour Newbie friendliness 45/100

SciML/MethodOfLines.jl#348 · 1 comment · Opened Dec 28, 2023
BoundsError in Discretizing Interface Domains with Different Point Counts Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/MethodOfLines.jl#347 · Opened Dec 22, 2023
How to check the full(DerivativeOperators) in MethodOfLines Open

question

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/MethodOfLines.jl#344 · Opened Dec 7, 2023
Mismatch in Symbolic names, when using symbolic arrays as state variables Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#341 · 1 comment · Opened Nov 30, 2023
Bound error on Discretization when specifying a uniform grid as a vector Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#340 · 7 comments · Opened Nov 24, 2023
Unable to Index into a steadystate solution using symbols Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 42/100

SciML/MethodOfLines.jl#338 · 3 comments · Opened Nov 22, 2023
Discretization of semi-coupled wave and diffusion equations fails for step size of pi/(25n) Open

Difficulty 3/5 1-2 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#337 · 1 comment · Opened Nov 11, 2023
Problem when trying to discretize PDE with MOLFiniteDifference Open

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/MethodOfLines.jl#333 · Opened Oct 27, 2023
Solution interface does not work when using init() and step!() Open

Difficulty 4/5 3-5 days Newbie friendliness 42/100

SciML/MethodOfLines.jl#332 · 2 comments · Opened Oct 26, 2023
Setting "Preferred" specialization via Preferences.jl doesn't affect the problem Open

Difficulty 3/5 1-2 days Newbie friendliness 30/100

SciML/MethodOfLines.jl#321 · Opened Sep 27, 2023
Improve docstrings Open

Difficulty 3/5 1-2 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#318 · Opened Sep 25, 2023
ExtraVariablesSystemException when u(t) depends on v(r,t) at specific r values Open

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/MethodOfLines.jl#308 · 2 comments · Opened Sep 13, 2023
Possibility to restart solving a system starting from a solution (ics override) Open

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/MethodOfLines.jl#307 · 6 comments · Opened Sep 11, 2023
Discretization error due to boundary conditions Open

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/MethodOfLines.jl#305 · 3 comments · Opened Sep 6, 2023
Interpolation in space not possible if solution is only saved at the end. Open

Difficulty 3/5 1-2 days Newbie friendliness 48/100

SciML/MethodOfLines.jl#304 · 4 comments · Opened Sep 4, 2023

SciML/MethodOfLines.jl

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