Low-Dissipation and Low-Dispersion Runge–Kutta Schemes for Computational Acoustics

Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics

Christopher K. W. Tam, Jay C. Webb · Journal of Computational Physics · 1993 · 2.1K citations

Computing, Mathematics, Physics +14

The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.

Kenneth R. Jackson, J. C. Butcher · Mathematics of Computation · 1988 · 1.1K citations

Natural Sciences, Mathematics, Computational Mechanics +11

The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error

Mark H. Carpenter, David Gottlieb, Saul Abarbanel et al. · SIAM Journal on Scientific Computing · 1995 · 173 citations

Natural Sciences, Computational Engineering, Physics +16

Finite difference schemes for long-time integration

Zigo Haras, Shlomo Ta’asan · Journal of Computational Physics · 1994 · 132 citations

Computing, Computational Engineering, Computer Science +12