Imagen de Portada

Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Giesselmann, Jan, Ranocha, Hendrik
Formato:	Preprint
Publicado:	2025
Materias:	Numerical Analysis Analysis of PDEs 35L03, 35M11, 65M12, 65M06, 65M20
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

A first-order hyperbolic reformulation of the Cahn-Hilliard equation
por: Dhaouadi, Firas, et al.
Publicado: (2024)

Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System
por: Giesselmann, Jan, et al.
Publicado: (2026)

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

Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
por: Biswas, Abhijit, et al.
Publicado: (2024)

Stability of step size control based on a posteriori error estimates
por: Ranocha, Hendrik, et al.
Publicado: (2023)

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

Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods
por: Thein, Ferdinand, et al.
Publicado: (2025)

High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
por: Ranocha, Hendrik, et al.
Publicado: (2025)

Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
por: Eiter, Thomas, et al.
Publicado: (2026)

A numerical scheme for a diffusion equation with nonlocal nonlinear boundary condition
por: Halder, Joydev, et al.
Publicado: (2022)

A posteriori analysis for nonlinear convection-diffusion systems
por: Dedner, Andreas, et al.
Publicado: (2025)

Theory of shifts, shocks, and the intimate connections to $L^2$-type a posteriori error analysis of numerical schemes for hyperbolic problems
por: Giesselmann, Jan, et al.
Publicado: (2023)

A Convergent Numerical Algorithm for $α$-Dissipative Solutions of the Hunter-Saxton Equation
por: Christiansen, Thomas, et al.
Publicado: (2023)

A numerical view on α-dissipative solutions of the Hunter-Saxton equation
por: Christiansen, Thomas, et al.
Publicado: (2024)

Convergence rate for a semidiscrete approximation of scalar conservation laws
por: Ørke, Magnus C.
Publicado: (2025)

A generalized Active Flux method of arbitrarily high order in two dimensions
por: Barsukow, Wasilij, et al.
Publicado: (2025)

GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations
por: Wittenstein, Collin, et al.
Publicado: (2026)

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

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

Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems
por: Liao, Hong-lin, et al.
Publicado: (2024)

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

Error analysis of a first-order DoD cut cell method for 2D unsteady advection
por: Birke, Gunnar, et al.
Publicado: (2024)

Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
por: Baker, Katherine, et al.
Publicado: (2022)

Multiderivative time integration methods preserving nonlinear functionals via relaxation
por: Ranocha, Hendrik, et al.
Publicado: (2023)

High Order semi-implicit Rosenbrock type and Multistep methods for evolutionary partial differential equations with higher order derivatives
por: Sebastiano, Boscarino, et al.
Publicado: (2026)

On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
por: Artiano, Marco, et al.
Publicado: (2026)

Potential Singularity of the Axisymmetric Euler Equations with $C^α$ Initial Vorticity for A Large Range of $α$
por: Hou, Thomas Y., et al.
Publicado: (2022)

Potential Singularity of the Axisymmetric Euler Equations with $C^α$ Initial Vorticity for A Large Range of $α$. Part II: the $N$-Dimensional Case
por: Hou, Thomas Y., et al.
Publicado: (2022)

High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen-Cahn equation
por: Zhang, Bingyin, et al.
Publicado: (2025)

Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws
por: Sudha, Sanjibanee, et al.
Publicado: (2025)

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

Error Estimates for Systems of Nonlocal Balance Laws Modeling Dense Multilane Vehicular Traffic
por: Aggarwal, Aekta, et al.
Publicado: (2023)

Stability estimates for systems of nonlocal balance laws with memory
por: Aggarwal, Aekta, et al.
Publicado: (2026)

Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
por: Artiano, Marco, et al.
Publicado: (2026)

Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems
por: Crin-Barat, Timothée, et al.
Publicado: (2024)

An Efficient Numerical Scheme for a Time-Fractional Burgers Equation with Caputo-Prabhakar Derivative
por: Singh, Deeksha, et al.
Publicado: (2024)

Linear stability of discrete shock profiles for systems of conservation laws
por: Coeuret, Lucas
Publicado: (2023)

Nonlinear orbital stability of stationary discrete shock profiles for scalar conservation laws
por: Coeuret, Lucas
Publicado: (2024)

Systems of Nonlocal Conservation Laws with Memory and Their Zero Retention Limit
por: Aggarwal, Aekta, et al.
Publicado: (2026)

The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws
por: Wei, Lei, et al.
Publicado: (2024)