articleTop 10% cited
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
Journal of Computational Physics · 1974 · Vol. 14(4) · pp. 361–370
Bram van Leer✉(Leiden University)
Computational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent FlowsGas Dynamics and Kinetic TheoryConservation lawMonotonic functionScheme (mathematics)MathematicsNonlinear systemOrder (exchange)Quadratic equationApplied mathematicsMathematical analysisPhysics
Citations
2,142
FWCI
7.44
field-weighted impact
References
3
Percentile
97%
vs. same field & year
Citations per year
Cited by
High resolution schemes for hyperbolic conservation laws
Journal of Computational Physics · 1983 · 4,111 citations
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Journal of Computational Physics · 1979 · 6,931 citations
PLUTO: A Numerical Code for Computational Astrophysics
The Astrophysical Journal Supplement Series · 2007 · 1,546 citations
Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
Journal of Computational Physics · 1977 · 2,403 citations
Towards the Ultimate Conservative Difference Scheme
Journal of Computational Physics · 1997 · 1,301 citations
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
Computer Methods in Applied Mechanics and Engineering · 1991 · 1,006 citations
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics · 1989 · 4,824 citations
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering · 1992 · 1,298 citations
Related articles
Some basic properties of completely monotonic functions
International Journal of Physics and Mathematics · 2022 · 0 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.
