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05/24/2023
Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodyn
The relativistic hydrodynamics (RHD) equations have three crucial intrin...
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04/19/2023
A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: structured meshes
In this paper, a compact and high order ADER (Arbitrary high order using...
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08/08/2022
Fourth-order conservative non-splitting semi-Lagrangian Hermite WENO schemes for kinetic and fluid simulations
We present fourth-order conservative non-splitting semi-Lagrangian (SL) ...
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05/29/2022
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes
A well-balanced moving mesh discontinuous Galerkin (DG) method is propos...
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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...
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06/16/2021
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes
The selection of time step plays a crucial role in improving stability a...
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05/18/2021
High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations
In this paper, we combine the nonlinear HWENO reconstruction in <cit.> a...
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04/14/2021
High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems
In this paper, we develop a high order residual distribution (RD) method...
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04/08/2021
High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state S_N transport equation
In this paper, we propose to combine the fifth order Hermite weighted es...
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01/13/2021
A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux
A high-order quasi-conservative discontinuous Galerkin (DG) method is pr...
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09/08/2020
High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations
In this paper, we propose a novel Hermite weighted essentially non-oscil...
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09/01/2020
A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems
In this paper, we develop a simplified hybrid weighted essentially non-o...
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08/25/2020
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations
A high-order, well-balanced, positivity-preserving quasi-Lagrange moving...
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07/12/2020
A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux
In this paper, a high order quasi-conservative discontinuous Galerkin (D...
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06/26/2020
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography
A rezoning-type adaptive moving mesh discontinuous Galerkin method is pr...
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02/19/2020
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws
In this paper, a fifth-order Hermite weighted essentially non-oscillator...
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10/25/2019
High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer
Solution interpolation between deforming meshes is an important componen...
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06/22/2019