Concept

Courant–Friedrichs–Lewy condition

OpenAlex ID: C30295242

Efficient implementation of essentially non-oscillatory shock-capturing schemes

1988 · Chi-Wang Shu, Stanley Osher · Journal of Computational Physics · 4,893

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Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes

1981 · A. JAMESON, WOLFGANG SCHMIDT, et al. · AIAA Fluid and Plasma Dynamics Conference · 4,205

E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh

2009 · Volker Springel · Monthly Notices of the Royal Astronomical Society · 2,427

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Multidimensional Flux-Form Semi-Lagrangian Transport Schemes

1996 · Shian-Jiann Lin, Richard B. Rood · Monthly Weather Review · 1,130

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Total-Variation-Diminishing Time Discretizations

1988 · Chi-Wang Shu · SIAM Journal on Scientific and Statistical Computing · 1,087

The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection

1991 · B.P. Leonard · Computer Methods in Applied Mechanics and Engineering · 1,028

A new FDTD algorithm based on alternating-direction implicit method

1999 · T. Namiki · IEEE Transactions on Microwave Theory and Techniques · 968

High-Resolution Conservative Algorithms for Advection in Incompressible Flow

1996 · Randall J. LeVeque · SIAM Journal on Numerical Analysis · 735

FARGO: A fast eulerian transport algorithm for differentially rotating disks

2000 · F. Masset · Astronomy & Astrophysics Supplement Series · 590

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The Method of Space-Time Conservation Element and Solution Element—A New Approach for Solving the Navier-Stokes and Euler Equations

1995 · Sin-Chung Chang · Journal of Computational Physics · 528

Implicit total variation diminishing (TVD) schemes for steady-state calculations

1985 · H.C Yee, R.F Warming, et al. · Journal of Computational Physics · 403

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Semi-implicit extension of a godunov-type scheme based on low mach number asymptotics I: One-dimensional flow

1995 · R. Klein · Journal of Computational Physics · 320

ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics

2007 · L. Del Zanna, O. Zanotti, et al. · Astronomy and Astrophysics · 319

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Discrete unified gas kinetic scheme for all Knudsen number flows. II. Thermal compressible case

2015 · Zhaoli Guo, Ruijie Wang, et al. · Physical Review E · 298

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Case Study: Malpasset Dam-Break Simulation using a Two-Dimensional Finite Volume Method

2002 · Alessandro Valiani, Valerio Caleffi, et al. · Journal of Hydraulic Engineering · 269

A Conservative Three-Dimensional Eulerian Method for Coupled Solid–Fluid Shock Capturing

2002 · G.H. Miller, P. Colella · Journal of Computational Physics · 223

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Vorticity Boundary Condition and Related Issues for Finite Difference Schemes

1996 · Weinan E, Jian-Guo Liu · Journal of Computational Physics · 221

The Piecewise Parabolic Method for Multidimensional Relativistic Fluid Dynamics

2005 · A. Mignone, T. Plewa, et al. · The Astrophysical Journal Supplement Series · 214

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Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws

2004 · Qiang Zhang, Chi-Wang Shu · SIAM Journal on Numerical Analysis · 203

A simple but accurate mass conservative, peak-preserving, mixing ratio bounded advection algorithm with FORTRAN code

1998 · Chris J. Walcek, Nenad M. Aleksic · Atmospheric Environment · 200

Numerical Approximations to Nonlinear Conservation Laws with Locally Varying Time and Space Grids

1983 · Stanley Osher, Richard Sanders · Mathematics of Computation · 194

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The Forward–in-Time Upstream Advection Scheme: Extension to Higher Orders

1987 · Craig J. Tremback, James Powell, et al. · Monthly Weather Review · 189

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A Two-Step Scheme for the Advection Equation with Minimized Dissipation and Dispersion Errors

1985 · Lawrence L. Takacs · Monthly Weather Review · 186

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Construction of the SILAM Eulerian atmospheric dispersion model based on the advection algorithm of Michael Galperin

2015 · M. Sofiev, J. Vira, et al. · Geoscientific model development · 169

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A Semi-implicit Numerical Scheme for Reacting Flow

1999 · Omar M Knio, Habib N Najm, et al. · Journal of Computational Physics · 168

Works count: 1,491

Citation count: 41,180