Chi-Wang Shu | DeepAI

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Yong Liu
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∙ 03/30/2023

Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products

Higher order finite difference Weighted Essentially Non-Oscillatory (WEN...

0 Dinshaw S. Balsara, et al. ∙

∙ 05/03/2022

On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes

In this paper, we perform stability analysis for a class of second and t...

0 Juntao Huang, et al. ∙

∙ 04/20/2022

Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise

In this paper we propose and analyze finite element discontinuous Galerk...

0 Jiawei Sun, et al. ∙

∙ 03/28/2022

Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations

In the numerical simulation of ideal MHD, keeping the pressure and densi...

0 Kailiang Wu, et al. ∙

∙ 01/28/2022

Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws

In this paper, a high-order moment-based multi-resolution Hermite weight...

0 Jiayin Li, et al. ∙

∙ 11/08/2021

Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes

Solutions to many partial differential equations satisfy certain bounds ...

0 Kailiang Wu, et al. ∙

∙ 10/10/2021

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

One- and multi-dimensional stochastic Maxwell equations with additive no...

0 Jiawei Sun, et al. ∙

∙ 03/26/2021

Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations

In this paper, we construct high order energy dissipative and conservati...

0 Qian Zhang, et al. ∙

∙ 11/29/2020

Error Inhibiting Methods for Finite Elements

Finite Difference methods (FD) are one of the oldest and simplest method...

0 Adi Ditkowski, et al. ∙

∙ 09/20/2020

Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing

In this paper we translate to the cell-average setting the algorithm for...

0 Sergio Amat, et al. ∙

∙ 05/14/2020

A new WENO-2r algorithm with progressive order of accuracy close to discontinuities

In this article we present a modification of the algorithm for data disc...

0 Sergio Amat, et al. ∙

∙ 03/12/2020

An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives

In this paper, we develop a new discontinuous Galerkin method for solvin...

0 Qi Tao, et al. ∙

∙ 02/09/2020

Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods for Multidimensional Relativistic MHD Equations

We propose and analyze a class of robust, uniformly high-order accurate ...

0 Kailiang Wu, et al. ∙

∙ 01/12/2020

Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations

In this paper, we theoretically and numerically verify that the disconti...

0 Yong Liu, et al. ∙

∙ 01/03/2020

Error analysis of Runge–Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations

In this paper, we present error estimates of fully discrete Runge–Kutta ...

0 Zheng Sun, et al. ∙

∙ 12/25/2019

Enforcing strong stability of explicit Runge–Kutta methods with superviscosity

A time discretization method is called strongly stable, if the norm of i...

0 Zheng Sun, et al. ∙

∙ 07/17/2019

Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations

This paper presents entropy symmetrization and high-order accurate entro...

0 Kailiang Wu, et al. ∙

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