High order finite difference multi-resolution WENO method for nonlinear degenerate parabolic equations
From MaRDI portal
Publication:2027962
DOI10.1007/s10915-020-01382-yzbMath1465.76068OpenAlexW3120800571MaRDI QIDQ2027962
Publication date: 28 May 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01382-y
finite difference methodhigh-order accuracynumerical fluxnonlinear degenerate parabolic equationporous medium flow
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20)
Related Items (14)
High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations ⋮ High order implicit finite difference schemes with a semi-implicit WENO reconstruction for nonlinear degenerate parabolic equations ⋮ A sixth-order finite difference HWENO scheme for nonlinear degenerate parabolic equation ⋮ An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations ⋮ The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique ⋮ A sixth-order central WENO scheme for nonlinear degenerate parabolic equations ⋮ High-Order Multi-Resolution Weno Schemes with Lax-Wendroff Method for Fractional Differential Equations ⋮ A finite volume multilevel WENO scheme for multidimensional scalar conservation laws ⋮ Hybrid HWENO method for nonlinear degenerate parabolic equations ⋮ A modified high-order symmetrical WENO scheme for hyperbolic conservation laws ⋮ High-order weighted compact nonlinear scheme for solving degenerate parabolic equations ⋮ A new type of high-order finite difference compact reconstruction multi-resolution WENO scheme for nonlinear degenerate parabolic equations ⋮ Direct WENO scheme for dispersion-type equations ⋮ A RBF-WENO finite difference scheme for non-linear degenerate parabolic equations
Uses Software
Cites Work
- Unnamed Item
- A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations
- Numerical simulation for porous medium equation by local discontinuous Galerkin finite element method
- On the positivity of linear weights in WENO approximations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Quasilinear elliptic-parabolic differential equations
- Nonstationary filtration in partially saturated porous media
- Weighted essentially non-oscillatory schemes
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
- Efficient implementation of weighted ENO schemes
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
- Free-stream preserving finite difference schemes on curvilinear meshes
- A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems
- A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes
- Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes
- A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes
- Kernel based high order ``explicit unconditionally stable scheme for nonlinear degenerate advection-diffusion equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations
- High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
- Approximation of Degenerate Parabolic Problems Using Numerical Integration
- A numerical method for solving the problem $u_t - \Delta f (u) = 0$
- Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- A posteriori error estimation and adaptivity for degenerate parabolic problems
- A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
- An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
- On solutions to nonlinear reaction-diffusion-convection equations with degenerate diffusion
This page was built for publication: High order finite difference multi-resolution WENO method for nonlinear degenerate parabolic equations
