PDE discretization
10 methods in the atlas attack this one problem. They are rivals: each wins something the others do not.
Phrasings that mean this problem
PDE discretizationHigh-accuracy PDEsConservation lawsPeriodic PDEsNon-periodic spectral PDEsExterior-domain PDEsNeural PDE solvingPDE-to-ODE reductionConvection-dominated PDEs
numerical-pde
- Finite difference methodCentral difference stencilscanonnumerical-pde
- Finite element methodGalerkin weak formcanonnumerical-pde
- Finite element methodPetrov-Galerkin weightingspecialistnumerical-pde
- Spectral element methodstandalonespecialistnumerical-pde
- Finite volume methodFlux conservationstandardnumerical-pde
- Method of linesSpatial-then-temporalstandardnumerical-pde
- Spectral methodFourier basisstandardnumerical-pde
- Chebyshev collocationstandalonespecialistnumerical-pde
- Boundary element methodstandalonespecialistnumerical-pde
- Physics-informed neural networkPDE-residual lossspecialistnumerical-pde