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A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations

Journal of scientific computing, 2013-08, Vol.56 (2), p.267-290

2013

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Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations

SIAM journal on scientific computing, 2001-01, Vol.23 (3), p.707-740

2001

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A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes

International journal for numerical methods in fluids, 2013-09, Vol.73 (3), p.266-283

2013

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A unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equations

Journal of computational physics, 2022-10, Vol.467, p.111463, Article 111463

2022

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Well-balanced discontinuous Galerkin scheme for 2 × 2 hyperbolic balance law

Journal of computational physics, 2021-03, Vol.429, p.110011, Article 110011

2021

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A NEW HYDROSTATIC RECONSTRUCTION SCHEME BASED ON SUBCELL RECONSTRUCTIONS

SIAM journal on numerical analysis, 2017-01, Vol.55 (2), p.758-784

2017

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A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry

SIAM journal on numerical analysis, 2022-01, Vol.60 (5), p.2681-2712

2022

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A note on the stability of implicit-explicit flux-splittings for stiff systems of hyperbolic conservation laws

Communications in mathematical sciences, 2018, Vol.16 (1), p.1-15

2018

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High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

Journal of computational physics, 2007-09, Vol.226 (1), p.29-58

2007

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A fast second-order shallow water scheme on two-dimensional structured grids over abrupt topography

Advances in water resources, 2019-05, Vol.127, p.89-108

2019

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Well-balanced scheme for gas-flow in pipeline networks

Networks and heterogeneous media, 2019-12, Vol.14 (4), p.659-676

2019

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Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

Journal of computational physics, 2006-04, Vol.213 (2), p.474-499

2006

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Flux Splitting for Stiff Equations: A Notion on Stability

Journal of scientific computing, 2015-08, Vol.64 (2), p.522-540

2015

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On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations

Journal of scientific computing, 2011-07, Vol.48 (1-3), p.339-349

2011

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A 3rd/2nd order MOOD limited scheme for the shallow water equations

Proceedings in applied mathematics and mechanics, 2023-05, Vol.23 (1), p.n/a

2023

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A New Stable Splitting for the Isentropic Euler Equations

Journal of scientific computing, 2017-03, Vol.70 (3), p.1390-1407

2017

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On adaptive timestepping for weakly instationary solutions of hyperbolic conservation laws via adjoint error control

International journal for numerical methods in biomedical engineering, 2010-06, Vol.26 (6), p.790-806

2010

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A note on entropy inequalities and error estimates for higher-order accurate finite volume schemes on irregular families of grids

Mathematics of computation, 1996-07, Vol.65 (215), p.1155-1163

Noelle, Sebastian

1996

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The MoT-ICE: A New High-Resolution Wave-Propagation Algorithm for Multidimensional Systems of Conservation Laws Based on Fey's Method of Transport

Journal of computational physics, 2000-11, Vol.164 (2), p.283-334

Noelle, Sebastian

2000

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ADAPTIVE TIMESTEP CONTROL FOR NONSTATIONARY SOLUTIONS OF THE EULER EQUATIONS

SIAM journal on scientific computing, 2011, Vol.32 (3), p.1617-1651

2011

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On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws

SIAM journal on scientific computing, 2003, Vol.24 (4), p.1157-1174

2003

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A NOTE ON ADJOINT ERROR ESTIMATION FOR ONE-DIMENSIONAL STATIONARY BALANCE LAWS WITH SHOCKS

SIAM journal on numerical analysis, 2013-01, Vol.51 (1), p.126-136

2013

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Adaptive Timestep Control for Nonstationary Solutions of the Euler Equations

SIAM journal on scientific computing, 2010-01, Vol.32 (3), p.1617-1651

2010

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Numerical comparison of the method of transport to a standard scheme: Residual distribution schemes, discontinuous Galerkin schemes and adaptation

Computers & fluids, 2005, Vol.34 (4-5), p.541-560

2005

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Comparison of Shallow Water Models for Rapid Channel Flows

Theory, Numerics and Applications of Hyperbolic Problems II, 2018, Vol.237, p.605-616

2018

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A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations

Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations

A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes

A unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equations

Well-balanced discontinuous Galerkin scheme for 2 × 2 hyperbolic balance law

A NEW HYDROSTATIC RECONSTRUCTION SCHEME BASED ON SUBCELL RECONSTRUCTIONS

A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry

A note on the stability of implicit-explicit flux-splittings for stiff systems of hyperbolic conservation laws

High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

A fast second-order shallow water scheme on two-dimensional structured grids over abrupt topography

Well-balanced scheme for gas-flow in pipeline networks

Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

Flux Splitting for Stiff Equations: A Notion on Stability

On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations

A 3rd/2nd order MOOD limited scheme for the shallow water equations

A New Stable Splitting for the Isentropic Euler Equations

On adaptive timestepping for weakly instationary solutions of hyperbolic conservation laws via adjoint error control

A note on entropy inequalities and error estimates for higher-order accurate finite volume schemes on irregular families of grids

The MoT-ICE: A New High-Resolution Wave-Propagation Algorithm for Multidimensional Systems of Conservation Laws Based on Fey's Method of Transport

ADAPTIVE TIMESTEP CONTROL FOR NONSTATIONARY SOLUTIONS OF THE EULER EQUATIONS

On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws

A NOTE ON ADJOINT ERROR ESTIMATION FOR ONE-DIMENSIONAL STATIONARY BALANCE LAWS WITH SHOCKS

Adaptive Timestep Control for Nonstationary Solutions of the Euler Equations

Numerical comparison of the method of transport to a standard scheme: Residual distribution schemes, discontinuous Galerkin schemes and adaptation

Comparison of Shallow Water Models for Rapid Channel Flows

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