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Template:Numerical PDE

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Numerical methods for partial differential equations
Finite difference
Parabolic
  • Forward-time central-space (FTCS)
  • Crank–Nicolson
Hyperbolic
  • Lax–Friedrichs
  • Lax–Wendroff
  • MacCormack
  • Upwind
  • Method of characteristics
Others
  • Alternating direction-implicit (ADI)
  • Finite-difference frequency-___domain (FDFD)
  • Finite-difference time-___domain (FDTD)
Finite volume
  • Godunov
  • High-resolution
  • Monotonic upstream-centered (MUSCL)
  • Advection upstream-splitting (AUSM)
  • Riemann solver
  • Essentially non-oscillatory (ENO)
  • Weighted essentially non-oscillatory (WENO)
Finite element
  • hp-FEM
  • Extended (XFEM)
  • Discontinuous Galerkin (DG)
  • Spectral element (SEM)
  • Mortar
  • Gradient discretisation (GDM)
  • Loubignac iteration
  • Smoothed (S-FEM)
Meshless/Meshfree
  • Smoothed-particle hydrodynamics (SPH)
  • Peridynamics (PD)
  • Moving particle semi-implicit method (MPS)
  • Material point method (MPM)
  • Particle-in-cell (PIC)
Domain decomposition
  • Schur complement
  • Fictitious ___domain
  • Schwarz alternating
    • additive
    • abstract additive
  • Neumann–Dirichlet
  • Neumann–Neumann
  • Poincaré–Steklov operator
  • Balancing (BDD)
  • Balancing by constraints (BDDC)
  • Tearing and interconnect (FETI)
  • FETI-DP
Others
  • Spectral
  • Pseudospectral (DVR)
  • Method of lines
  • Multigrid
  • Collocation
  • Level-set
  • Boundary element
    • Method of moments
  • Immersed boundary
  • Analytic element
  • Isogeometric analysis
  • Infinite difference method
  • Infinite element method
  • Galerkin method
    • Petrov–Galerkin method
  • Validated numerics
  • Computer-assisted proof
  • Integrable algorithm
  • Method of fundamental solutions
Related
  • Numerical methods for ordinary differential equations
  • Numerical integration
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Retrieved from "https://en.wikipedia.org/w/index.php?title=Template:Numerical_PDE&oldid=1304093567"
Last edited on 3 August 2025, at 23:22

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