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Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator

East Asian journal on applied mathematics, 2023-08, Vol.13 (3), p.576-609

2023

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Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

Communications in computational physics, 2020, Vol.27 (2), p.480-502

2020

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A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

Numerische Mathematik, 2008-12, Vol.111 (2), p.169-205

2008

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Incompressible limit of a continuum model of tissue growth with segregation for two cell populations

Mathematical biosciences and engineering : MBE, 2019-01, Vol.16 (5), p.5804-5835

2019

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Three-Layer Approximation of Two-Layer Shallow Water Equations

Mathematical modelling and analysis, 2013-12, Vol.18 (5), p.675-693

2013

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An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

Journal of computational physics, 2019-08, Vol.391, p.259-279

2019

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A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

Communications in computational physics, 2015-01, Vol.17 (1), p.233-258

2015

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Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD

Journal of computational physics, 2024-12, Vol.518, p.113300, Article 113300

2024

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A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations

Journal of scientific computing, 2019-07, Vol.80 (1), p.538-554

2019

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A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics

SIAM journal on scientific computing, 2024-06, Vol.46 (3), p.A1998-A2024

2024

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Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts

Journal of scientific computing, 2022, Vol.90 (1), p.9, Article 9

2022

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Well-balanced numerical method for atmospheric flow equations with gravity

Applied mathematics and computation, 2023-02, Vol.439, p.127587, Article 127587

2023

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Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes

Journal of computational physics, 2018-04, Vol.358, p.36-52

2018

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Accurate deterministic projection methods for stiff detonation waves

Communications in mathematical sciences, 2024, Vol.22 (4), p.871-910

2024

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An asymptotic-preserving method for a relaxation of the Navier–Stokes–Korteweg equations

Journal of computational physics, 2017-04, Vol.335, p.387-403

2017

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Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients

Numerische Mathematik, 2014-08, Vol.127 (4), p.595-639

2014

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Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme

Journal of scientific computing, 2021-11, Vol.89 (2), p.48, Article 48

2021

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Local characteristic decomposition based central-upwind scheme

Journal of computational physics, 2023-01, Vol.473, p.111718, Article 111718

2023

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High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems

Advances in computational mathematics, 2018-02, Vol.44 (1), p.327-350

2018

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A diffuse-domain-based numerical method for a chemotaxis-fluid model

Mathematical models & methods in applied sciences, 2023-02, Vol.33 (2), p.341-375

2023

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STEADY STATE AND SIGN PRESERVING SEMI-IMPLICIT RUNGE–KUTTA METHODS FOR ODES WITH STIFF DAMPING TERM

SIAM journal on numerical analysis, 2015-01, Vol.53 (4), p.2008-2029

2015

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Adaptive moving mesh upwind scheme for the two-species chemotaxis model

Computers & mathematics with applications (1987), 2019-06, Vol.77 (12), p.3172-3185

2019

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Well-balanced schemes for the shallow water equations with Coriolis forces

Numerische Mathematik, 2018-04, Vol.138 (4), p.939-973

2018

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Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I

Journal of computational physics, 2000-05, Vol.160 (1), p.42-66

2000

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One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems

Journal of scientific computing, 2019-12, Vol.81 (3), p.1297-1328

2019

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Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator

Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

Incompressible limit of a continuum model of tissue growth with segregation for two cell populations

Three-Layer Approximation of Two-Layer Shallow Water Equations

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations

A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts

Well-balanced numerical method for atmospheric flow equations with gravity

Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes

Accurate deterministic projection methods for stiff detonation waves

An asymptotic-preserving method for a relaxation of the Navier–Stokes–Korteweg equations

Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme

Local characteristic decomposition based central-upwind scheme

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems

A diffuse-domain-based numerical method for a chemotaxis-fluid model

STEADY STATE AND SIGN PRESERVING SEMI-IMPLICIT RUNGE–KUTTA METHODS FOR ODES WITH STIFF DAMPING TERM

Adaptive moving mesh upwind scheme for the two-species chemotaxis model

Well-balanced schemes for the shallow water equations with Coriolis forces

Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I

One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems

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