ENO methods
Class of high-resolution schemes in numerical solutions of differential equations
ENO (essentially non-oscillatory) methods are classes of high-resolution schemes in numerical solution of differential equations.
History
The first ENO scheme was developed by Harten, Engquist, Osher and Chakravarthy in 1987. In 1994, the first weighted version of ENO was developed.[1]
See also
- High-resolution scheme
- WENO methods
- Shock-capturing method
References
- ^ Liu, Xu-Dong; Osher, Stanley; Chan, Tony (1994). "Weighted Essentially Non-oscillatory Schemes". Journal of Computational Physics. 115 (1): 200–212. Bibcode:1994JCoPh.115..200L. CiteSeerX 10.1.1.24.8744. doi:10.1006/jcph.1994.1187.
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| Parabolic |
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|---|---|
| Hyperbolic |
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| Others |
- Godunov
- High-resolution
- Monotonic upstream-centered (MUSCL)
- Advection upstream-splitting (AUSM)
- Riemann solver
- Essentially non-oscillatory (ENO)
- Weighted essentially non-oscillatory (WENO)
- hp-FEM
- Extended (XFEM)
- Discontinuous Galerkin (DG)
- Spectral element (SEM)
- Mortar
- Gradient discretisation (GDM)
- Loubignac iteration
- Smoothed (S-FEM)
- 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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