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Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics · 1988 · Vol. 77(2) · pp. 439–471

Chi‐Wang Shu✉(University of Minnesota)Stanley Osher(University of California, Los Angeles)

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Computational Fluid Dynamics and Aerodynamics Fluid Dynamics and Turbulent Flows Gas Dynamics and Kinetic TheoryTotal variation diminishingConservation lawDiscretizationComputationApplied mathematicsBounded functionMathematicsForcing (mathematics)Runge–Kutta methodsVariation (astronomy)

Funding

National Science Foundation
National Aeronautics and Space Administration
Defense Advanced Research Projects Agency
Langley Research Center
Office of Naval Research
Army Research Office

Citations

4,649

FWCI

11.25

field-weighted impact

References

12

Percentile

99%

vs. same field & year

Citations per year

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References

High resolution schemes for hyperbolic conservation laws

Journal of Computational Physics · 1983 · 4,111 citations

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

Journal of Computational Physics · 1974 · 2,142 citations

Uniformly high order accurate essentially non-oscillatory schemes, III

Journal of Computational Physics · 1987 · 2,948 citations

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Journal of Computational Physics · 1979 · 6,931 citations

Approximate Riemann solvers, parameter vectors, and difference schemes

Journal of Computational Physics · 1981 · 8,995 citations

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