Infinite difference method
In mathematics, infinite difference methods are numerical methods for solving differential equations by approximating them with difference equations, in which infinite differences approximate the derivatives.
See also
- Infinite element method
- Finite difference
- Finite difference time domain
References
- Simulation of ion transfer under conditions of natural convection by the finite difference method
- Han, Houde; Wu, Xiaonan (2013). Artificial Boundary Method. Springer. Chapter 6: Discrete Artificial Boundary Conditions. ISBN 978-3-642-35464-9..
- Genetic Algorithm and Numerical Solution
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Parabolic |
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Hyperbolic |
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Others |
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- Godunov
- High-resolution
- Monotonic upstream-centered (MUSCL)
- Advection upstream-splitting (AUSM)
- Riemann solver
- Essentially non-oscillatory (ENO)
- Weighted essentially non-oscillatory (WENO)
- Smoothed-particle hydrodynamics (SPH)
- Peridynamics (PD)
- Moving particle semi-implicit method (MPS)
- Material point method (MPM)
- Particle-in-cell (PIC)
- 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
- Validated numerics
- Computer-assisted proof
- Integrable algorithm
- Method of fundamental solutions
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