Applied Numerical Mathematics

Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

Uri M. Ascher, Steven J. Ruuth, Raymond J. Spiteri · 1997 · 1.3K citations

Natural Sciences, Computational Engineering, Mathematics +14

A fully discrete difference scheme for a diffusion-wave system

Zhi‐zhong Sun, Xiaonan Wu · 2005 · 1.2K citations

Engineering, Computational Engineering, Mathematics +13

Finite difference approximations for two-sided space-fractional partial differential equations

Mark M. Meerschaert, Charles Tadjeran · 2005 · 936 citations

Natural Sciences, Mathematics, Physics +12

BoomerAMG: A parallel algebraic multigrid solver and preconditioner

Van Emden Henson, Ulrike Meier Yang · 2002 · 872 citations

Computing, Computer Science, High-performance Computing +12

Additive Runge–Kutta schemes for convection–diffusion–reaction equations

Christopher A. Kennedy, Mark H. Carpenter · 2002 · 746 citations · Full text

Natural Sciences, Mathematics, Mechanical Engineering +12