Category:Numerical differential equations

• Exponential integrator (computing)
• Numerical methods for ordinary differential equations (computing)
• Numerical methods for partial differential equations (computing)
• Numerical partial differential equations (computing)

*

• Numerical methods for differential equations (computing)

A

• Adaptive mesh refinement (computing)
• Adaptive step size (computing)
• Adaptive stepsize (computing)
• Alternating direction implicit method (computing)
• Analytic element method (computing)
• AUSM (computing)

B

• Backward differentiation formula (computing)
• Backward Euler method (computing)
• Beam and Warming scheme (computing)
• Beeman's algorithm (computing)
• Bi-directional delay line (computing)
• Boundary element method (computing)
• Boundary knot method (computing)
• Boundary particle method (computing)

C

• Cash–Karp method (computing)
• Céa's lemma (computing)
• Cell lists (physics)
• Central differencing scheme (computing)
• Characteristic mode analysis (physics)
• Collocation method (computing)
• Compact stencil (computing)
• Composite methods for structural dynamics (computing)
• Constraint (computational chemistry) (physics)
• Coupled mode theory (computing)
• Courant–Friedrichs–Lewy condition (computing)
• Crank–Nicolson method (computing)
• Cyclic reduction (computing)

D

• Diffuse element method (computing)
• Direct multiple shooting method (computing)
• Direct stiffness method (computing)
• Discontinuous Galerkin method (computing)
• Discrete calculus (computing)
• Discrete element method (computing)
• Discrete Laplace operator (computing)
• Discrete Poisson equation (computing)
• Dormand–Prince method (computing)

E

• Eigenvalues and eigenvectors of the second derivative (computing)
• Energy drift (computing)
• ENO methods (computing)
• Euler method (computing)
• Euler–Maruyama method (computing)
• Explicit and implicit methods (computing)
• Extended discrete element method (computing)
• Extended finite element method (physics)

F

• False diffusion (computing)
• Fast marching method (computing)
• Fast multipole method (computing)
• Fast sweeping method (computing)
• Finite difference (computing)
• Finite difference coefficient (computing)
• Finite difference method (computing)
• Finite difference methods for option pricing (computing)
• Finite element method (computing)
• Dynamic design analysis method (computing)
• Finite element method in structural mechanics (computing)
• Finite pointset method (computing)
• Finite volume method (computing)
• Finite-difference frequency-domain method (computing)
• Finite-difference time-domain method (physics)
• Five-point stencil (computing)
• Flux limiter (computing)
• FTCS scheme (computing)

G

• Galerkin method (computing)
• General linear methods (computing)
• Geometric integrator (computing)
• Godunov's scheme (computing)
• Godunov's theorem (computing)
• Gradient discretisation method (computing)

H

• Heun's method (computing)
• High-resolution scheme (computing)
• Higher-order compact finite difference scheme (computing)

I

• Immersed boundary method (computing)
• Infinite difference method (computing)
• Infinite element method (computing)
• Interval boundary element method (computing)

K

• Kronecker sum of discrete Laplacians (computing)

L

• L-stability (computing)
• Lax equivalence theorem (computing)
• Lax–Friedrichs method (computing)
• Lax–Wendroff method (computing)
• Lax–Wendroff theorem (computing)
• Leapfrog integration (computing)
• Linear multistep method (computing)
• List of Runge–Kutta methods (computing)
• Loubignac iteration (computing)

M

• MacCormack method (computing)
• Material point method (computing)
• Mesh generation (computing)
• Meshfree methods (computing)
• Method of fundamental solutions (computing)
• Method of lines (computing)
• Microscale and macroscale models (computing)
• Midpoint method (computing)
• Milstein method (computing)
• Mimesis (mathematics) (computing)
• Modal analysis using FEM (computing)
• Momentum (electromagnetic simulator) (software)
• Moving particle semi-implicit method (computing)
• Multilevel fast multipole method (computing)
• Multiphase particle-in-cell method (computing)
• Multisymplectic integrator (computing)
• MUSCL scheme (computing)

N

• Natural element method (computing)
• Newmark-beta method (computing)
• Non-compact stencil (computing)
• Numerical diffusion (computing)
• Numerical dispersion (computing)
• Numerical resistivity (computing)
• Numerov's method (computing)

O

• Orthogonal collocation (computing)

P

• P-FEM (computing)
• Pantelides algorithm (computing)
• Parareal (computing)
• Partial element equivalent circuit (computing)
• Particle method (computing)
• Particle-in-cell (computing)
• Perfectly matched layer (physics)
• Principles of grid generation (computing)
• Principles of Grid Generation (computing)

Q

• Quantized state systems method (computing)

R

• Raviart–Thomas basis functions (computing)
• Rayleigh–Ritz method (computing)
• Regularized meshless method (computing)
• Reproducing kernel particle method (computing)
• Roe solver (computing)
• Runge–Kutta method (SDE) (computing)
• Runge–Kutta–Fehlberg method (computing)
• Runge–Kutta methods (computing)

S

• Semi-implicit Euler method (computing)
• Shock capturing method (computing)
• Shock-capturing method (computing)
• Shooting method (computing)
• Singular boundary method (computing)
• Smoothed finite element method (computing)
• Smoothed-particle hydrodynamics (computing)
• Spectral element method (computing)
• Spectral method (computing)
• Split-step method (computing)
• Stencil (numerical analysis) (computing)
• Stiff equation (computing)
• Stochastic Eulerian Lagrangian method (computing)
• Strang splitting (computing)
• Stretched grid method (computing)
• Symplectic integrator (computing)

T

• Total variation diminishing (computing)
• Transmission-line matrix method (physics)
• Trefftz method (computing)

U

• Uniform theory of diffraction (computing)
• Upwind differencing scheme for convection (computing)
• Upwind scheme (computing)

V

• Variational integrator (computing)
• Verlet integration (computing)
• Virtual Cell (software)
• Volume of fluid method (computing)
• Vorticity confinement (computing)

W

• Walk-on-spheres method (computing)
• Weak formulation (computing)
• Weakened weak form (computing)
• WENO methods (computing)