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New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations

Journal of Computational Physics · 2000 · Vol. 160(1) · pp. 241–282
Alexander KurganovEitan Tadmor
Computational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent FlowsDifferential Equations and Numerical MethodsConservation lawMathematicsNonlinear systemNumerical diffusionDegenerate energy levelsApplied mathematicsSolverViscosityDiffusionFinite difference

Funding

  • National Science Foundation
  • Office of Naval Research
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1,891
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44.71
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52
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100%
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References
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics · 1989 · 4,824 citations
High resolution schemes for hyperbolic conservation laws
Journal of Computational Physics · 1983 · 4,111 citations
Uniformly high order accurate essentially non-oscillatory schemes, III
Journal of Computational Physics · 1987 · 2,948 citations
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
Journal of Computational Physics · 1997 · 6,297 citations
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics · 1988 · 4,649 citations
Approximate Riemann solvers, parameter vectors, and difference schemes
Journal of Computational Physics · 1981 · 8,995 citations
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New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations · Scinovex