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Numerical Differential Equations

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John Argyris
Ivo Babuška
Klaus-Jürgen Bathe
Philippe G. Ciarlet
Ray W. Clough
Richard Courant
Michael Anthony Crisfield
Carlos A. Felippa
George Fix
Boris Galerkin
Max Gunzburger
Alexander Hrennikoff
Thomas J.R. Hughes
Bruce Irons (engineer)
Andrew Ronald Mitchell
J. Tinsley Oden
Eugenio Oñate Ibañez de Navarra
J. N. Reddy
Peter P. Silvester
Gilbert Strang
Endre Süli
Edward L. Wilson
Olgierd Zienkiewicz
Spectral element method
Bramble-Hilbert lemma
Bridge Software Institute
Discontinuous Galerkin method
Discrete exterior calculus
Electromagnetic Design System
Extended finite element method
Finite element method
Finite element method in structural mechanics
Finite element updating
Finite element machine
Flexibility method
Functionally graded element
Hp-FEM
Hu Washizu principle
Interval finite element
Isogeometric Analysis
Mesh generation
Modal analysis using FEM
Motz's problem
Multiphase topology optimisation
NAFEMS
Patch test (finite elements)
Spatial twist continuum
Superconvergence
Vflo
Wood-Armer method
Bogacki–Shampine method
Cash–Karp method
Dormand–Prince method
Dynamic errors of numerical methods of ODE discretization
Euler method
Heun's method
List of Runge–Kutta methods
Midpoint method
Runge–Kutta methods
Runge–Kutta–Fehlberg method
Numerical ordinary differential equations
Numerical partial differential equations
Adaptive mesh refinement
Adaptive stepsize
Alternating direction implicit method
Analytic element method
AUSM
Backward differentiation formula
Beeman's algorithm
Bi-directional delay line
Boundary element method
Céa's lemma
Cell lists
Collocation method
Compact stencil
Constraint algorithm
Courant–Friedrichs–Lewy condition
Crank–Nicolson method
Diffuse element method
Direct multiple shooting method
Direct stiffness method
Discrete element method
Discrete Laplace operator
Discrete Poisson equation
Eigenvalues and eigenvectors of the second derivative
Energy drift
Euler–Maruyama method
Explicit and implicit methods
FTCS scheme
Fast marching method
Fast multipole method
Finite difference
Finite pointset method
Finite difference coefficient
Finite difference method
Finite difference methods for option pricing
Finite volume method
Finite-difference time-domain method
Five-point stencil
Flux limiter
Galerkin method
Geometric integrator
Godunov's scheme
Godunov's theorem
High-resolution scheme
History of numerical solution of differential equations using computers
Image-based meshing
Immersed boundary method
Interval boundary element method
Kronecker sum of discrete Laplacians
Lax equivalence theorem
Lax–Friedrichs method
Lax–Wendroff method
Lax–Wendroff theorem
Leapfrog integration
Linear multistep method
MUSCL scheme
MacCormack method
Meshfree methods
Method of lines
Milstein method
Mimesis (mathematics)
Momentum (electromagnetic simulator)
Moving particle semi-implicit method
Newmark-beta method
Non-compact stencil
Numerical diffusion
Numerical resistivity
Numerov's method
Orthogonal collocation
Parallel mesh generation
Partial element equivalent circuit
Particle-in-cell
Perfectly matched layer
Rayleigh–Ritz method
Relaxation method
Roe solver
Runge–Kutta method (SDE)
Semi-implicit Euler method
Shock capturing methods
Shooting method
Smoothed-particle hydrodynamics
Spectral method
Split-step method
Stencil (numerical analysis)
Stiff equation
Symplectic integrator
Total variation diminishing
Transmission line matrix method
Trefftz method
Uniform theory of diffraction
Upwind scheme
Variational integrator
Verlet integration
Vorticity confinement
Weak formulation