Cover Image

On the convergence rate of a numerical method for the Hunter-Saxton equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Christiansen, Thomas
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Analysis of PDEs 65M15, 65M12, 65M25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Rate of convergence for numerical $α$-dissipative solutions of the Hunter-Saxton equation
by: Christiansen, Thomas, et al.
Published: (2024)

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

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

Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation
by: Sun, Weiran, et al.
Published: (2022)

Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method
by: Zhang, Jiansong, et al.
Published: (2025)

Convergence of a least-squares splitting method for the Monge-Ampère equation
by: Peruso, Anna, et al.
Published: (2026)

The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations
by: Çibik, Aytekin, et al.
Published: (2024)

Stability and convergence of multi-product expansion splitting methods with negative weights for semilinear parabolic equations
by: Duan, Xianglong, et al.
Published: (2025)

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

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

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

Efficient numerical method for the Schrödinger equation with high-contrast potentials
by: Jin, Xingguang, et al.
Published: (2025)

Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity
by: Lee, Jeonghun J.
Published: (2019)

An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022)

New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance, and applications to the Stokes' equations
by: Bressan, Andrea, et al.
Published: (2025)

Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme
by: Tominec, Igor, et al.
Published: (2025)

High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
by: Bermejo, Rodolfo, et al.
Published: (2024)

Weighted finite difference methods for a nonlinear Klein--Gordon equation with high oscillations in space and time
by: Shi, Yanyan, et al.
Published: (2026)

Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data
by: Shi, Yanyan, et al.
Published: (2025)

Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)

The cubic nonlinear Schrödinger equation with rough potential
by: Mauser, Norbert J., et al.
Published: (2024)

$hp$-FEM for the fractional heat equation
by: Melenk, Jens Markus, et al.
Published: (2019)

A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)

On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
by: Zlotnik, Alexander, et al.
Published: (2024)

On compact 4th order finite-difference schemes for the wave equation
by: Zlotnik, Alexander, et al.
Published: (2020)

Error Estimate for a Semi-Lagrangian Scheme for Hamilton-Jacobi Equations on Networks
by: Carlini, Elisabetta, et al.
Published: (2024)

Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation
by: Quan, Chaoyu, et al.
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)

An Eulerian finite element method for the linearized Navier--Stokes problem in an evolving domain
by: Neilan, Michael, et al.
Published: (2023)

On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
by: Zlotnik, Alexander
Published: (2021)

A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
by: Cao, Jiachuan, et al.
Published: (2026)

Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
by: Wang, Bin, et al.
Published: (2022)

Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge--Kutta discontinuous Galerkin method
by: Sun, Zheng
Published: (2024)

A convergent stochastic scalar auxiliary variable method
by: Metzger, Stefan
Published: (2023)

Optimal higher-order convergence rates for parabolic multiscale problems
by: Kalyanaraman, Balaje, et al.
Published: (2025)

Mathematical analysis and numerical comparison of energy-conservative schemes for the Zakharov equations
by: Kawai, Shuto, et al.
Published: (2024)

A second-order exponential integration constraint energy minimizing generalized multiscale method for parabolic problems
by: Poveda, Leonardo A., et al.
Published: (2023)

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

A Semi-Lagrangian scheme on embedded manifolds using generalized local polynomial reproductions
by: Hangelbroek, Thomas, et al.
Published: (2025)

Finite element approximation for a reformulation of a 3D fluid-2D plate interaction system
by: Besabe, Lander, et al.
Published: (2026)