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An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

Journal of Computational Physics, ISSN 0021-9991, 2008, Volume 227, Issue 6, pp. 3191 - 3211

In this article we develop an improved version of the classical fifth-order weighted essentially non-oscillatory finite difference scheme of [G.S. Jiang, C.W....

Hyperbolic conservation laws | Weighted essentially non-oscillatory | Smoothness indicators | WENO weights | SHOCK-CAPTURING SCHEMES | ORDER | EFFICIENT IMPLEMENTATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | hyperbolic conservation laws | smoothness indicators | weighted essentially non-oscillatory | PHYSICS, MATHEMATICAL | Environmental law | Analysis

Hyperbolic conservation laws | Weighted essentially non-oscillatory | Smoothness indicators | WENO weights | SHOCK-CAPTURING SCHEMES | ORDER | EFFICIENT IMPLEMENTATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | hyperbolic conservation laws | smoothness indicators | weighted essentially non-oscillatory | PHYSICS, MATHEMATICAL | Environmental law | Analysis

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 5, pp. 1766 - 1792

In , the authors have designed a new fifth order WENO finite-difference scheme by adding a higher order smoothness indicator which is obtained as a simple and...

WENO-Z | Weighted essentially non-oscillatory | Smoothness indicators | Nonlinear weights | EFFICIENT IMPLEMENTATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RESOLUTION | PHYSICS, MATHEMATICAL | FLOW | Environmental law | Accuracy | Mathematical analysis | Nonlinearity | Mathematical models | Reflection | Indicators | Smoothness | Standards | Finite difference method

WENO-Z | Weighted essentially non-oscillatory | Smoothness indicators | Nonlinear weights | EFFICIENT IMPLEMENTATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RESOLUTION | PHYSICS, MATHEMATICAL | FLOW | Environmental law | Accuracy | Mathematical analysis | Nonlinearity | Mathematical models | Reflection | Indicators | Smoothness | Standards | Finite difference method

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 10/2013, Volume 250, pp. 347 - 372

In the reconstruction step of order weighted essentially non-oscillatory conservative finite difference schemes (WENO) for solving hyperbolic conservation...

Power parameter | Smoothness indicators | Sensitivity parameter | Hyperbolic equations | WENO-Z | Weighted essentially non-oscillatory | WENO-JS | Nonlinear weights | NON-OSCILLATION SCHEMES | EFFICIENT IMPLEMENTATION | RESOLUTION | HIGH-ORDER | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Power parameter | Smoothness indicators | Sensitivity parameter | Hyperbolic equations | WENO-Z | Weighted essentially non-oscillatory | WENO-JS | Nonlinear weights | NON-OSCILLATION SCHEMES | EFFICIENT IMPLEMENTATION | RESOLUTION | HIGH-ORDER | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 11/2017, Volume 349, pp. 220 - 232

In this paper a third order finite volume weighted essentially non-oscillatory scheme is designed for solving hyperbolic conservation laws on tetrahedral...

Unequal size spatial stencil | Tetrahedral mesh | Finite volume | Weighted essentially non-oscillatory scheme | Linear weight | EFFICIENT IMPLEMENTATION | RECONSTRUCTION | PHYSICS, MATHEMATICAL | SHOCK-CAPTURING SCHEMES | REFINEMENT | ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONSTRUCTION | SYSTEMS | UNSTRUCTURED MESHES | HYPERBOLIC CONSERVATION-LAWS | CENTRAL WENO SCHEMES

Unequal size spatial stencil | Tetrahedral mesh | Finite volume | Weighted essentially non-oscillatory scheme | Linear weight | EFFICIENT IMPLEMENTATION | RECONSTRUCTION | PHYSICS, MATHEMATICAL | SHOCK-CAPTURING SCHEMES | REFINEMENT | ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONSTRUCTION | SYSTEMS | UNSTRUCTURED MESHES | HYPERBOLIC CONSERVATION-LAWS | CENTRAL WENO SCHEMES

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 03/1999, Volume 150, Issue 1, pp. 97 - 127

In this paper we construct high-order weighted essentially non-oscillatory schemes on two-dimensional unstructured meshes (triangles) in the finite volume...

Weighted essentially non-oscillatory schemes | Unstructured mesh | High-order accuracy | Shock calculations | shock calculations | EFFICIENT IMPLEMENTATION | weighted essentially non-oscillatory schemes | ALGORITHMS | SIMULATION | PHYSICS, MATHEMATICAL | ENO SCHEMES | NONOSCILLATORY SCHEMES | VORTEX | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | high-order accuracy | SYSTEMS | TURBULENCE | unstructured mesh | HYPERBOLIC CONSERVATION-LAWS

Weighted essentially non-oscillatory schemes | Unstructured mesh | High-order accuracy | Shock calculations | shock calculations | EFFICIENT IMPLEMENTATION | weighted essentially non-oscillatory schemes | ALGORITHMS | SIMULATION | PHYSICS, MATHEMATICAL | ENO SCHEMES | NONOSCILLATORY SCHEMES | VORTEX | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | high-order accuracy | SYSTEMS | TURBULENCE | unstructured mesh | HYPERBOLIC CONSERVATION-LAWS

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 05/2000, Volume 160, Issue 2, pp. 405 - 452

In this paper we design a class of numerical schemes that are higher-order extensions of the weighted essentially non-oscillatory (WENO) schemes of G.-S. Jiang...

Conservation law | Monotonicity preserving | Weighted ENO | ENO | Convergence | EFFICIENT IMPLEMENTATION | convergence | ISOTHERMAL MAGNETOHYDRODYNAMICS | DIFFERENCE-SCHEMES | PHYSICS, MATHEMATICAL | ENO SCHEMES | NONOSCILLATORY SCHEMES | FLOW | weighted ENO | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HIGH-RESOLUTION SCHEMES | conservation law | SIMULATIONS | monotonicity preserving | HYPERBOLIC CONSERVATION-LAWS | Vibrations | Mechanics of the solides | Civil Engineering | Mechanics | Dynamique, vibrations | Structures | Engineering Sciences | Mechanics of the structures | Mechanical engineering | Physics

Conservation law | Monotonicity preserving | Weighted ENO | ENO | Convergence | EFFICIENT IMPLEMENTATION | convergence | ISOTHERMAL MAGNETOHYDRODYNAMICS | DIFFERENCE-SCHEMES | PHYSICS, MATHEMATICAL | ENO SCHEMES | NONOSCILLATORY SCHEMES | FLOW | weighted ENO | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HIGH-RESOLUTION SCHEMES | conservation law | SIMULATIONS | monotonicity preserving | HYPERBOLIC CONSERVATION-LAWS | Vibrations | Mechanics of the solides | Civil Engineering | Mechanics | Dynamique, vibrations | Structures | Engineering Sciences | Mechanics of the structures | Mechanical engineering | Physics

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 06/2016, Volume 314, Issue C, pp. 749 - 773

ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes are widely used high-order schemes for solving partial differential...

Unstructured mesh | Finite volume method | Essentially non-oscillatory scheme | Hyperbolic conservation law | Weighted least squares | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | WENO SCHEMES | HAMILTON-JACOBI EQUATIONS | PHYSICS, MATHEMATICAL | HYPERBOLIC CONSERVATION-LAWS | Environmental law | Analysis | Methods | Conservation laws | Discontinuity | Accuracy | Partial differential equations | Least squares method | Essentially non-oscillatory schemes | Mathematical models | Mathematics - Numerical Analysis

Unstructured mesh | Finite volume method | Essentially non-oscillatory scheme | Hyperbolic conservation law | Weighted least squares | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | WENO SCHEMES | HAMILTON-JACOBI EQUATIONS | PHYSICS, MATHEMATICAL | HYPERBOLIC CONSERVATION-LAWS | Environmental law | Analysis | Methods | Conservation laws | Discontinuity | Accuracy | Partial differential equations | Least squares method | Essentially non-oscillatory schemes | Mathematical models | Mathematics - Numerical Analysis

Journal Article

Applied Mathematical Modelling, ISSN 0307-904X, 10/2018, Volume 62, pp. 404 - 414

This work presents a fixed-point fast sweeping weighted essentially non-oscillatory method for the multi-commodity continuum traffic equilibrium assignment...

Fixed-point sweeping method | Continuum modeling | Weighted essentially non-oscillatory scheme | Multi-commodity | Traffic equilibrium assignment | SYSTEM | MARKET AREAS | WENO METHODS | HAMILTON-JACOBI EQUATIONS | FLOW | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MACROSCOPIC MODELS | ENGINEERING, MULTIDISCIPLINARY | COMPETITIVE FACILITIES | STEADY-STATE | HYPERBOLIC CONSERVATION-LAWS | SCHEMES | Central business districts | Analysis | Environmental law | Traffic congestion | Methods

Fixed-point sweeping method | Continuum modeling | Weighted essentially non-oscillatory scheme | Multi-commodity | Traffic equilibrium assignment | SYSTEM | MARKET AREAS | WENO METHODS | HAMILTON-JACOBI EQUATIONS | FLOW | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MACROSCOPIC MODELS | ENGINEERING, MULTIDISCIPLINARY | COMPETITIVE FACILITIES | STEADY-STATE | HYPERBOLIC CONSERVATION-LAWS | SCHEMES | Central business districts | Analysis | Environmental law | Traffic congestion | Methods

Journal Article

International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 11/2016, Volume 82, Issue 9, pp. 607 - 622

Summary The blood flow model maintains the steady‐state solutions, in which the flux gradients are non‐zero but exactly balanced by the source term. In this...

blood flow model | weighted essentially non‐oscillatory schemes | well‐balanced property | high order accuracy | finite difference schemes | source term | well-balanced property | weighted essentially non-oscillatory schemes | EFFICIENT IMPLEMENTATION | APPROXIMATION | WENO SCHEMES | PHYSICS, FLUIDS & PLASMAS | RECONSTRUCTION | VOLUME | SHALLOW-WATER EQUATIONS | SOURCE TERMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | GAS-KINETIC SCHEME | CONSERVATION-LAWS | WAVE-PROPAGATION | Analysis | Blood flow | Accuracy | Computational fluid dynamics | Essentially non-oscillatory schemes | Preserves | Fluid flow | Flux | Mathematical models

blood flow model | weighted essentially non‐oscillatory schemes | well‐balanced property | high order accuracy | finite difference schemes | source term | well-balanced property | weighted essentially non-oscillatory schemes | EFFICIENT IMPLEMENTATION | APPROXIMATION | WENO SCHEMES | PHYSICS, FLUIDS & PLASMAS | RECONSTRUCTION | VOLUME | SHALLOW-WATER EQUATIONS | SOURCE TERMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | GAS-KINETIC SCHEME | CONSERVATION-LAWS | WAVE-PROPAGATION | Analysis | Blood flow | Accuracy | Computational fluid dynamics | Essentially non-oscillatory schemes | Preserves | Fluid flow | Flux | Mathematical models

Journal Article

International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 06/2014, Volume 75, Issue 4, pp. 231 - 249

SUMMARYA fifth‐order accurate multistep weighted essentially non‐oscillatory (WENO) scheme is constructed in this paper. Different from the traditional WENO...

shock wave | complex flowfield simulation | weighted essentially non‐oscillatory scheme | numerical method | Complex flowfield simulation | Numerical method | Weighted essentially non-oscillatory scheme | Shock wave | WENO SCHEME | EFFICIENT IMPLEMENTATION | PHYSICS, FLUIDS & PLASMAS | HIGH-ORDER | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TURBULENCE | HYPERBOLIC CONSERVATION-LAWS | weighted essentially non-oscillatory scheme | Discontinuity | Construction | Accuracy | Transition points | Mathematical analysis | Essentially non-oscillatory schemes | Fluxes | Convergence

shock wave | complex flowfield simulation | weighted essentially non‐oscillatory scheme | numerical method | Complex flowfield simulation | Numerical method | Weighted essentially non-oscillatory scheme | Shock wave | WENO SCHEME | EFFICIENT IMPLEMENTATION | PHYSICS, FLUIDS & PLASMAS | HIGH-ORDER | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TURBULENCE | HYPERBOLIC CONSERVATION-LAWS | weighted essentially non-oscillatory scheme | Discontinuity | Construction | Accuracy | Transition points | Mathematical analysis | Essentially non-oscillatory schemes | Fluxes | Convergence

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 10, pp. 3727 - 3752

A general strategy was presented in 2009 by Yamaleev and Carpenter for constructing energy stable weighted essentially non-oscillatory (ESWENO)...

Weighted essentially non-oscillatory schemes | High-order finite-difference methods | Energy estimate | Artificial dissipation | Numerical stability | APPROXIMATIONS | PARTS | SUMMATION | PHYSICS, MATHEMATICAL | ACCURACY | ORDER | METHODOLOGY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Mechanical engineering | Conventions | Interpolation | Accuracy | Mathematical analysis | Flux | Norms | Strategy | Boundaries | Finite difference method

Weighted essentially non-oscillatory schemes | High-order finite-difference methods | Energy estimate | Artificial dissipation | Numerical stability | APPROXIMATIONS | PARTS | SUMMATION | PHYSICS, MATHEMATICAL | ACCURACY | ORDER | METHODOLOGY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Mechanical engineering | Conventions | Interpolation | Accuracy | Mathematical analysis | Flux | Norms | Strategy | Boundaries | Finite difference method

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2018, Volume 328, pp. 314 - 339

A new adaptive weighted essentially non-oscillatory WENO- scheme in the context of finite difference is proposed. Depending on the smoothness of the large...

Hyperbolic conservation laws | Adaptive upwind-central schemes | Euler equations | Smoothness indicators | Shock-capturing methods | Weighted essentially non-oscillatory (WENO) schemes | MATHEMATICS, APPLIED | COMPRESSIBLE TURBULENCE | SMOOTHNESS INDICATOR | HIGH-ORDER | DIFFERENCE-SCHEMES | STRONG SHOCKS | DYNAMICS | NUMERICAL-SIMULATION | FINITE-DIFFERENCE

Hyperbolic conservation laws | Adaptive upwind-central schemes | Euler equations | Smoothness indicators | Shock-capturing methods | Weighted essentially non-oscillatory (WENO) schemes | MATHEMATICS, APPLIED | COMPRESSIBLE TURBULENCE | SMOOTHNESS INDICATOR | HIGH-ORDER | DIFFERENCE-SCHEMES | STRONG SHOCKS | DYNAMICS | NUMERICAL-SIMULATION | FINITE-DIFFERENCE

Journal Article

Philosophical Transactions of the Royal Society A, ISSN 1364-503X, 01/2013, Volume 371, Issue 1982, p. 20120172

In this article, we give a brief overview on high-order accurate shock capturing schemes with the aim of applications in compressible turbulence simulations....

MATHEMATICS | computational mathematics | Articles | Weighted essentially non-oscillatory schemes | Discontinuous Galerkin method | High-order accuracy | Shock capturing schemes | TIME DISCRETIZATIONS | EFFICIENT IMPLEMENTATION | discontinuous Galerkin method | VORTEX INTERACTIONS | HYPERBOLIC SYSTEMS | WENO SCHEMES | MULTIDISCIPLINARY SCIENCES | weighted essentially non-oscillatory schemes | DIFFERENCE SCHEMES | shock capturing schemes | SHOCK-WAVE | SOUND PRODUCTION | high-order accuracy | CONSERVATION-LAWS | FINITE-ELEMENT-METHOD

MATHEMATICS | computational mathematics | Articles | Weighted essentially non-oscillatory schemes | Discontinuous Galerkin method | High-order accuracy | Shock capturing schemes | TIME DISCRETIZATIONS | EFFICIENT IMPLEMENTATION | discontinuous Galerkin method | VORTEX INTERACTIONS | HYPERBOLIC SYSTEMS | WENO SCHEMES | MULTIDISCIPLINARY SCIENCES | weighted essentially non-oscillatory schemes | DIFFERENCE SCHEMES | shock capturing schemes | SHOCK-WAVE | SOUND PRODUCTION | high-order accuracy | CONSERVATION-LAWS | FINITE-ELEMENT-METHOD

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 03/2019, Volume 68, pp. 220 - 239

In this investigation a new meshless numerical technique is proposed for solving Green–Naghdi equation by combining the moving Kriging interpolation shape...

Moving kriging interpolation | Weighted essentially non-oscillatory (WENO) method | Green–Naghdi equation | Water science | MATHEMATICS, APPLIED | PARTIAL-DIFFERENTIAL-EQUATION | SOLITARY WAVE | PHYSICS, FLUIDS & PLASMAS | GALERKIN METHOD | PHYSICS, MATHEMATICAL | LOKRIGING METHOD | SHALLOW-WATER | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Green-Naghdi equation | BOUSSINESQ-TYPE EQUATIONS | FINITE-VOLUME SCHEME | HYPERBOLIC CONSERVATION-LAWS | 3-DIMENSIONAL OVERTURNING WAVES

Moving kriging interpolation | Weighted essentially non-oscillatory (WENO) method | Green–Naghdi equation | Water science | MATHEMATICS, APPLIED | PARTIAL-DIFFERENTIAL-EQUATION | SOLITARY WAVE | PHYSICS, FLUIDS & PLASMAS | GALERKIN METHOD | PHYSICS, MATHEMATICAL | LOKRIGING METHOD | SHALLOW-WATER | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Green-Naghdi equation | BOUSSINESQ-TYPE EQUATIONS | FINITE-VOLUME SCHEME | HYPERBOLIC CONSERVATION-LAWS | 3-DIMENSIONAL OVERTURNING WAVES

Journal Article

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, ISSN 2070-0733, 12/2018, Volume 10, Issue 6, pp. 1418 - 1439

This study aims to investigate the rapid loss of numerical symmetry for problems with symmetrical initial conditions and boundary conditions when solved by the...

MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | MECHANICS | hyperbolic conservation laws | symmetry | WENO SCHEMES | Weighted essentially non-oscillatory | smoothness indicator | NUMERICAL SIMULATIONS | RAYLEIGH-TAYLOR

MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | MECHANICS | hyperbolic conservation laws | symmetry | WENO SCHEMES | Weighted essentially non-oscillatory | smoothness indicator | NUMERICAL SIMULATIONS | RAYLEIGH-TAYLOR

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 9/2015, Volume 64, Issue 3, pp. 670 - 695

We investigate a hybrid Fourier-Continuation (FC) method (Bruno and Lyon, J Comput Phys 229:2009–2033, 2010) and fifth order characteristic-wise weighted...

77Axx | Computational Mathematics and Numerical Analysis | Theoretical, Mathematical and Computational Physics | Hybrid | Multi-resolution | Mathematics | Weighted essentially non-oscillatory | Algorithms | Fourier Continuation | Appl.Mathematics/Computational Methods of Engineering | Hyperbolic | WENO-Z | 65P30 | MATHEMATICS, APPLIED | SPECTRAL-WENO METHODS | HIGH-ORDER | SHOCK-TURBULENCE INTERACTION | SOLVERS | ACCURACY | Laws, regulations and rules | Environmental law | Analysis | Methods | Conservation laws | Dynamics | Mathematical analysis | Mathematical models | Wave interaction | Entropy | Two dimensional | Finite difference method

77Axx | Computational Mathematics and Numerical Analysis | Theoretical, Mathematical and Computational Physics | Hybrid | Multi-resolution | Mathematics | Weighted essentially non-oscillatory | Algorithms | Fourier Continuation | Appl.Mathematics/Computational Methods of Engineering | Hyperbolic | WENO-Z | 65P30 | MATHEMATICS, APPLIED | SPECTRAL-WENO METHODS | HIGH-ORDER | SHOCK-TURBULENCE INTERACTION | SOLVERS | ACCURACY | Laws, regulations and rules | Environmental law | Analysis | Methods | Conservation laws | Dynamics | Mathematical analysis | Mathematical models | Wave interaction | Entropy | Two dimensional | Finite difference method

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 4/2008, Volume 35, Issue 1, pp. 25 - 41

We develop high order essentially non-oscillatory (ENO) schemes on non-uniform meshes based on generalized binary trees. The idea is to adopt an appropriate...

Adaptive tree methods | Computational Mathematics and Numerical Analysis | Algorithms | Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics | Essentially non-oscillatory | Hamilton–Jacobi equations | Hamilton-Jacobi equations | SHOCK-CAPTURING SCHEMES | WEIGHTED ENO SCHEMES | MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | adaptive tree methods | HYPERBOLIC SYSTEMS | essentially non-oscillatory | DIMENSION | MESH REFINEMENT | CONSERVATION-LAWS | Trees | Adaptive structures | Numerical analysis | Computation | Strategy | Mathematical models | Stores | Unstructured data

Adaptive tree methods | Computational Mathematics and Numerical Analysis | Algorithms | Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics | Essentially non-oscillatory | Hamilton–Jacobi equations | Hamilton-Jacobi equations | SHOCK-CAPTURING SCHEMES | WEIGHTED ENO SCHEMES | MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | adaptive tree methods | HYPERBOLIC SYSTEMS | essentially non-oscillatory | DIMENSION | MESH REFINEMENT | CONSERVATION-LAWS | Trees | Adaptive structures | Numerical analysis | Computation | Strategy | Mathematical models | Stores | Unstructured data

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 6/2011, Volume 47, Issue 3, pp. 281 - 302

In this paper we study a Lax-Wendroff-type time discretization procedure for the finite difference weighted essentially non-oscillatory (WENO) schemes to solve...

Shallow water equations | Computational Mathematics and Numerical Analysis | Algorithms | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | High order accuracy | Weighted essentially non-oscillatory schemes | Mathematics | Lax-Wendroff-type time discretization | SOURCE TERMS | MATHEMATICS, APPLIED | WENO SCHEMES | ENO | HIGH-ORDER | EXACT CONSERVATION PROPERTY | GRADIENT | Algebra | Computer simulation | Discretization | Mathematical analysis | Topography | Flux | Runge-Kutta method

Shallow water equations | Computational Mathematics and Numerical Analysis | Algorithms | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | High order accuracy | Weighted essentially non-oscillatory schemes | Mathematics | Lax-Wendroff-type time discretization | SOURCE TERMS | MATHEMATICS, APPLIED | WENO SCHEMES | ENO | HIGH-ORDER | EXACT CONSERVATION PROPERTY | GRADIENT | Algebra | Computer simulation | Discretization | Mathematical analysis | Topography | Flux | Runge-Kutta method

Journal Article