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Numerical Differential Equations
[edit]- 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