About us Pricing ContactSubscribe

articleTop 1% cited

Uniformly high order accurate essentially non-oscillatory schemes, III

Journal of Computational Physics · 1987 · Vol. 71(2) · pp. 231–303

Ami Harten✉(Tel Aviv University)Björn Engquist(UCLA Health)Stanley Osher(UCLA Health)Sukumar Chakravarthy(Rockwell Automation (United States))

View via DOI Publisher page

Computational Fluid Dynamics and Aerodynamics Fluid Dynamics and Turbulent Flows Gas Dynamics and Kinetic TheoryGibbs phenomenonPiecewiseMathematicsClassification of discontinuitiesInterpolation (computer graphics)Conservation lawApplied mathematicsStencilNonlinear systemPolynomial

Citations

2,948

FWCI

27.46

field-weighted impact

References

34

Percentile

100%

vs. same field & year

Citations per year

Cited by

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems

Journal of Computational Physics · 1989 · 1,460 citations

The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case

Mathematics of Computation · 1990 · 1,396 citations

The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics

Classical and Quantum Gravity · 2012 · 583 citations

Total variation diminishing Runge-Kutta schemes

Mathematics of Computation · 1998 · 2,446 citations

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics · 1988 · 13,778 citations

Efficient implementation of essentially non-oscillatory shock-capturing schemes, II

Journal of Computational Physics · 1989 · 4,824 citations

Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy

Journal of Computational Physics · 2000 · 1,271 citations

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework

Mathematics of Computation · 1989 · 1,894 citations

References

High resolution schemes for hyperbolic conservation laws

Journal of Computational Physics · 1983 · 4,111 citations

The numerical simulation of two-dimensional fluid flow with strong shocks

Journal of Computational Physics · 1984 · 2,820 citations

The Piecewise Parabolic Method (PPM) for gas-dynamical simulations

Journal of Computational Physics · 1984 · 3,864 citations

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

Journal of Computational Physics · 1979 · 6,931 citations

A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws

Journal of Computational Physics · 1978 · 2,568 citations

Approximate Riemann solvers, parameter vectors, and difference schemes

Journal of Computational Physics · 1981 · 8,995 citations

Citation Network

How this paper connects to the literature. Drag to explore, click any node to open that paper.