Adaptive mesh, finite volume modeling of marine ice sheets

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

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

H.A. van der Vorst · SIAM Journal on Scientific and Statistical Computing · 1992 · 5.3K citations

Natural Sciences, Computer Science, Computational Physics +9

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

Phillip Colella, Paul R. Woodward · Journal of Computational Physics · 1984 · 4K citations

Natural Sciences, Computational Engineering, Physics +8

Local adaptive mesh refinement for shock hydrodynamics

Marsha Berger, Phillip Colella · Journal of Computational Physics · 1989 · 2.6K citations

Engineering, Computational Engineering, Mechanical Engineering +14

Jacobian-free Newton–Krylov methods: a survey of approaches and applications

D. A. Knoll, David E. Keyes · Journal of Computational Physics · 2003 · 1.9K citations

Natural Sciences, Mathematics, Computational Mechanics +11