Upwind summation-by-parts finite differences: error estimates and WENO methodology
Fuente:
arXiv
Saved in:
| Main Authors: | Jiang, Yan, Wang, Siyang |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Stable and high-order accurate finite difference methods for the diffusive viscous wave equation
by: Wang, Siyang
Published: (2025)
by: Wang, Siyang
Published: (2025)
Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws
by: Worku, Zelalem Arega, et al.
Published: (2026)
by: Worku, Zelalem Arega, et al.
Published: (2026)
Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
by: Worku, Zelalem Arega, et al.
Published: (2023)
by: Worku, Zelalem Arega, et al.
Published: (2023)
High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations
by: Xu, Ziyao, et al.
Published: (2024)
by: Xu, Ziyao, et al.
Published: (2024)
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
On the stability analysis of perfectly matched layer for the elastic wave equation in layered media
by: Duru, Kenneth, et al.
Published: (2022)
by: Duru, Kenneth, et al.
Published: (2022)
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation
by: Sun, Weiran, et al.
Published: (2022)
by: Sun, Weiran, et al.
Published: (2022)
A hybrid numerical method for elastic wave propagation in discontinuous media with complex geometry
by: Granath, Andreas, et al.
Published: (2024)
by: Granath, Andreas, et al.
Published: (2024)
A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property
by: Montoya, Tristan, et al.
Published: (2021)
by: Montoya, Tristan, et al.
Published: (2021)
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)
by: Petri, Louis, et al.
Published: (2026)
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
by: Hicken, Jason, et al.
Published: (2024)
by: Hicken, Jason, et al.
Published: (2024)
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)
by: Akrivis, Georgios, et al.
Published: (2024)
A dual-pairing summation-by-parts finite difference framework for nonlinear conservation laws
by: Stewart, Dougal, et al.
Published: (2024)
by: Stewart, Dougal, et al.
Published: (2024)
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
by: Zhao, Chengchao, et al.
Published: (2022)
by: Zhao, Chengchao, et al.
Published: (2022)
Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions
by: Salian, Lavanya V, et al.
Published: (2024)
by: Salian, Lavanya V, et al.
Published: (2024)
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
A novel central compact finite-difference scheme for third derivatives with high spectral resolution
by: Salian, Lavanya V, et al.
Published: (2024)
by: Salian, Lavanya V, et al.
Published: (2024)
Why summation by parts is not enough
by: Glaubitz, Jan, et al.
Published: (2026)
by: Glaubitz, Jan, et al.
Published: (2026)
A high order, block finite difference, error inhibiting scheme for the transport equation
by: Ditkowski, Adi, et al.
Published: (2024)
by: Ditkowski, Adi, et al.
Published: (2024)
On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
by: Zlotnik, Alexander, et al.
Published: (2012)
by: Zlotnik, Alexander, et al.
Published: (2012)
Low-regularity error estimates of a filtered Lie-Trotter splitting scheme for the Zakharov system in arbitrary dimensions
by: Ji, Lun, et al.
Published: (2025)
by: Ji, Lun, et al.
Published: (2025)
On compact 4th order finite-difference schemes for the wave equation
by: Zlotnik, Alexander, et al.
Published: (2020)
by: Zlotnik, Alexander, et al.
Published: (2020)
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
by: Zlotnik, Alexander, et al.
Published: (2020)
by: Zlotnik, Alexander, et al.
Published: (2020)
Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators
by: Huang, Qiumei, et al.
Published: (2025)
by: Huang, Qiumei, et al.
Published: (2025)
Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data
by: Shi, Yanyan, et al.
Published: (2025)
by: Shi, Yanyan, et al.
Published: (2025)
Weighted finite difference methods for a nonlinear Klein--Gordon equation with high oscillations in space and time
by: Shi, Yanyan, et al.
Published: (2026)
by: Shi, Yanyan, et al.
Published: (2026)
On the stability of finite-volume schemes on non-uniform meshes
by: Bakhvalov, Pavel, et al.
Published: (2024)
by: Bakhvalov, Pavel, et al.
Published: (2024)
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws
by: Cui, Shumo, et al.
Published: (2024)
by: Cui, Shumo, et al.
Published: (2024)
Low regularity full error estimates for the cubic nonlinear Schrödinger equation
by: Ji, Lun, et al.
Published: (2023)
by: Ji, Lun, et al.
Published: (2023)
Low regularity error estimates for the time integration of 2D NLS
by: Ji, Lun, et al.
Published: (2023)
by: Ji, Lun, et al.
Published: (2023)
Low regularity error estimates for high dimensional nonlinear Schrödinger equations
by: Ji, Lun, et al.
Published: (2023)
by: Ji, Lun, et al.
Published: (2023)
Learning WENO for entropy stable schemes to solve conservation laws
by: Charles, Philip, et al.
Published: (2024)
by: Charles, Philip, et al.
Published: (2024)
Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method
by: Zhang, Jiansong, et al.
Published: (2025)
by: Zhang, Jiansong, et al.
Published: (2025)
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
by: Ji, Lun, et al.
Published: (2024)
by: Ji, Lun, et al.
Published: (2024)
A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields
by: Li, Jianan, et al.
Published: (2026)
by: Li, Jianan, et al.
Published: (2026)
A strong two-stage explicit/implicit approach combined with mixed finite element methods for a three-dimensional nonlinear radiation-conduction model in anisotropic media
by: Ngondiep, Eric
Published: (2025)
by: Ngondiep, Eric
Published: (2025)
Optimal higher-order convergence rates for parabolic multiscale problems
by: Kalyanaraman, Balaje, et al.
Published: (2025)
by: Kalyanaraman, Balaje, et al.
Published: (2025)
$L^2$ norm error estimates of BDF methods up to fifth-order for the phase field crystal model
by: Liao, Hong-lin, et al.
Published: (2022)
by: Liao, Hong-lin, et al.
Published: (2022)
An Eulerian finite element method for the linearized Navier--Stokes problem in an evolving domain
by: Neilan, Michael, et al.
Published: (2023)
by: Neilan, Michael, et al.
Published: (2023)
A conservative Eulerian finite element method for transport and diffusion in moving domains
by: Olshanskii, Maxim, et al.
Published: (2024)
by: Olshanskii, Maxim, et al.
Published: (2024)
Similar Items
-
Stable and high-order accurate finite difference methods for the diffusive viscous wave equation
by: Wang, Siyang
Published: (2025) -
Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws
by: Worku, Zelalem Arega, et al.
Published: (2026) -
Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
by: Worku, Zelalem Arega, et al.
Published: (2023) -
High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations
by: Xu, Ziyao, et al.
Published: (2024) -
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)