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A high-order finite-volume method for conservation laws on locally refined grids

Communications in applied mathematics and computational science, 2011-03, Vol.6 (1), p.1-25

2011

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An all-speed projection and filtering method for gravity-stratified flows

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2009-11, Vol.367 (1907), p.4543-4558

2009

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Numerical Computation of Diffusion on a Surface

Proceedings of the National Academy of Sciences - PNAS, 2005-08, Vol.102 (32), p.11151-11156

2005

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Block structured adaptive mesh and time refinement for hybrid, hyperbolic + N-body systems

Journal of computational physics, 2007-11, Vol.227 (1), p.400-430

2007

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Computation of volume potentials on structured grids with the method of local corrections

Communications in applied mathematics and computational science, 2019-01, Vol.14 (1), p.1-32

2019

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An adaptive local discrete convolution method for the numerical solution of Maxwell’s equations

Communications in applied mathematics and computational science, 2019-01, Vol.14 (1), p.105-119

2019

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A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation

SIAM journal on scientific computing, 2012-01, Vol.34 (2), p.B179-B201

2012

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Computation of volume potentials on structured grids with the method of local corrections

Communications in applied mathematics and computational science, 2018-10, Vol.13 (2), p.337-368

2018

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THE CONVERGENCE OF PARTICLE-IN-CELL SCHEMES FOR COSMOLOGICAL DARK MATTER SIMULATIONS

The Astrophysical journal, 2016-01, Vol.816 (2), p.1-25

2016

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A single-stage flux-corrected transport algorithm for high-order finite-volume methods

Communications in applied mathematics and computational science, 2017-05, Vol.12 (1), p.1-24

2017

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THE CONVERGENCE OF PARTICLE-IN-CELL SCHEMES FOR COSMOLOGICAL DARK MATTER SIMULATIONS

The Astrophysical journal, 2016-01, Vol.816 (2)

2016

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A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries

SIAM journal on scientific computing, 1997-09, Vol.18 (5), p.1289-1309

1997

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Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model

Monthly weather review, 2016-12, Vol.144 (12), p.4641-4666

2016

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High-order discretization of a gyrokinetic Vlasov model in edge plasma geometry

Journal of computational physics, 2018-11, Vol.373 (C)

2018

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Numerical Implementation of Streaming Down the Gradient: Application to Fluid Modeling of Cosmic Rays and Saturated Conduction

SIAM journal on scientific computing, 2010-01, Vol.32 (6), p.3564-3583

2010

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Space Weather with Quantified Uncertainties: Improving Space Weather Predictions with Data-Driven Models of the Solar Atmosphere and Inner Heliosphere

Journal of physics. Conference series, 2024-04, Vol.2742 (1), p.12013

2024

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A direct Eulerian MUSCL scheme for gas dynamics

SIAM journal on scientific and statistical computing, 1985, Vol.6 (1), p.104-117

COLELLA, P

1985

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A real-space Green’s function method for the numerical solution of Maxwell’s equations

Communications in applied mathematics and computational science, 2016-01, Vol.11 (2), p.143-170

2016

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An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

Communications in applied mathematics and computational science, 2015-09, Vol.10 (2), p.121-162

2015

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A real-space Green’s function method for thenumerical solution of Maxwell’s equations

Communications in applied mathematics and computational science, 2016-01, Vol.11 (2)

2016

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Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement

Journal of computational physics, 2014-02, Vol.259, p.461-487

2014

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Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement

Journal of computational physics, 2013-12, Vol.259 (C)

2013

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Short Note: A limiter for PPM that preserves accuracy at smooth extrema

Journal of computational physics, 2008-07, Vol.227 (15), p.7069-7076

2008

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NUMERICAL IMPLEMENTATION OF STREAMING DOWN THE GRADIENT: APPLICATION TO FLUID MODELING OF COSMIC RAYS AND SATURATED CONDUCTION

SIAM journal on scientific computing, 2011, Vol.32 (6), p.3564-3583

2011

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A SECOND-ORDER ACCURATE CONSERVATIVE FRONT-TRACKING METHOD IN ONE DIMENSION

SIAM journal on scientific computing, 2010-01, Vol.31 (6), p.4795-4813

2010

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A high-order finite-volume method for conservation laws on locally refined grids

An all-speed projection and filtering method for gravity-stratified flows

Numerical Computation of Diffusion on a Surface

Block structured adaptive mesh and time refinement for hybrid, hyperbolic + N-body systems

Computation of volume potentials on structured grids with the method of local corrections

An adaptive local discrete convolution method for the numerical solution of Maxwell’s equations

A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation

Computation of volume potentials on structured grids with the method of local corrections

THE CONVERGENCE OF PARTICLE-IN-CELL SCHEMES FOR COSMOLOGICAL DARK MATTER SIMULATIONS

A single-stage flux-corrected transport algorithm for high-order finite-volume methods

THE CONVERGENCE OF PARTICLE-IN-CELL SCHEMES FOR COSMOLOGICAL DARK MATTER SIMULATIONS

A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries

Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model

High-order discretization of a gyrokinetic Vlasov model in edge plasma geometry

Numerical Implementation of Streaming Down the Gradient: Application to Fluid Modeling of Cosmic Rays and Saturated Conduction

Space Weather with Quantified Uncertainties: Improving Space Weather Predictions with Data-Driven Models of the Solar Atmosphere and Inner Heliosphere

A direct Eulerian MUSCL scheme for gas dynamics

A real-space Green’s function method for the numerical solution of Maxwell’s equations

An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

A real-space Green’s function method for thenumerical solution of Maxwell’s equations

Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement

Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement

Short Note: A limiter for PPM that preserves accuracy at smooth extrema

NUMERICAL IMPLEMENTATION OF STREAMING DOWN THE GRADIENT: APPLICATION TO FLUID MODELING OF COSMIC RAYS AND SATURATED CONDUCTION

A SECOND-ORDER ACCURATE CONSERVATIVE FRONT-TRACKING METHOD IN ONE DIMENSION

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