Cover Image

A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Guermond, Jean-Luc, Maier, Matthias, Tovar, Eric
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65M60, 65M12, 35L50, 35L65, 76M10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
by: Harmon, Jake, et al.
Published: (2025)

Second-order invariant-domain preserving approximation to the multi-species Euler equations
by: Clayton, Bennett, et al.
Published: (2025)

Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
by: Creff, Melvin, et al.
Published: (2024)

Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
by: Guermond, Jean-Luc, et al.
Published: (2026)

First-order greedy invariant-domain preserving approximation for hyperbolic problems: scalar conservation laws, and p-system
by: Guermond, Jean-Luc, et al.
Published: (2023)

Preserving the minimum principle on the entropy for the compressible Euler Equations with general equations of state
by: Clayton, Bennett, et al.
Published: (2025)

Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations
by: Ding, Lingyun
Published: (2025)

Relaxation Schemes for Flows in Networks: Application to Shallow Water and Blood Flow Equations
by: Tenna, Tommaso
Published: (2025)

A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
by: Giesselmann, Jan, et al.
Published: (2026)

A generalized Riemann problem solver for a hyperbolic model of two-layer thin film flow
by: Barthwal, Rahul, et al.
Published: (2025)

Stability analysis of Arbitrary-Lagrangian-Eulerian ADER-DG methods on classical and degenerate spacetime geometries
by: Bonafini, Mauro, et al.
Published: (2026)

A Higher-Order Multiscale Method for the Wave Equation
by: Krumbiegel, Felix, et al.
Published: (2023)

An Energy Stable Well-balanced Scheme for the Barotropic Euler System with Gravity under the Anelastic Scaling
by: Arun, K. R., et al.
Published: (2024)

Local linear stability of dual-pairing summation-by-parts methods for nonlinear conservation laws
by: Stewart, Dougal, et al.
Published: (2026)

An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes
by: Ersing, Patrick, et al.
Published: (2023)

A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity
by: Gyamfi, Kwame Atta
Published: (2024)

A Second-Order Maximum-Principle-Preserving Crouzeix-Raviart Finite Element Method for Time-dependent Transport Equation
by: Mao, Shipeng, et al.
Published: (2026)

High order well-balanced and total-energy-conserving local discontinuous Galerkin methods for compressible self-gravitating Euler equations
by: Pan, Liang, et al.
Published: (2025)

Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Stable Spectral-Volume Methods
by: Schadt, Lena
Published: (2025)

Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
by: Xie, Zhengrong
Published: (2024)

Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
by: Kronbichler, Martin, et al.
Published: (2024)

Average energy dissipation rates of additive implicit-explicit Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Adaptive Uncertainty Quantification for Stochastic Hyperbolic Conservation Laws
by: Harmon, Jake J., et al.
Published: (2024)

A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
by: Cheng, Yu-Chen, et al.
Published: (2024)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)

Monotone-based Numerical Schemes for Two-Dimensional Systems of Nonlocal Conservation Laws
by: Beckers, Anika, et al.
Published: (2026)

A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model
by: Liao, Hong-lin, et al.
Published: (2024)

A Convergent Structure-Preserving Scheme for Dissipative Solutions of the Rotating Shallow Water System
by: Arun, K. R., et al.
Published: (2025)

An Energy Stable and Well-balanced Scheme for the Ripa System
by: Arun, K. R., et al.
Published: (2024)

An Asymptotic Preserving Scheme for the Euler-Poisson-Boltzmann System in the Quasineutral Limit
by: Arun, K. R., et al.
Published: (2024)

Drift-Free Conservative Dynamics from Quantized Interaction Rules
by: Junhu, Park, et al.
Published: (2026)

Spline Shallow Water Moment Equations
by: Scholz, Ullika, et al.
Published: (2025)

Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws
by: Cui, Shumo, et al.
Published: (2024)

An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
by: Arun, K. R., et al.
Published: (2024)

The effective use of BLAS interface for implementation of finite-element ADER-DG and finite-volume ADER-WENO methods
by: Popov, I. S.
Published: (2024)

The Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
by: Chen, Qifan, et al.
Published: (2023)

Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems
by: Eckhardt, Daniel, et al.
Published: (2024)

A MUSCL-Hancock scheme for non-local conservation laws
by: Manoj, Nikhil, et al.
Published: (2025)

Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
by: Fanizza, Bartolomeo, et al.
Published: (2026)