On the contractivity of implicit–explicit linear multistep methods

Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

Uri M. Ascher, Steven J. Ruuth, Brian Wetton · SIAM Journal on Numerical Analysis · 1995 · 1K citations

Computing, Computational Engineering, Physics +17

Implicit-explicit multistep methods for quasilinear parabolic equations

Georgios Akrivis, Michel Crouzeix, Charalambos Makridakis · Numerische Mathematik · 1999 · 122 citations

Natural Sciences, Mathematics, Physics +11

Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations

J. M. Varah · SIAM Journal on Numerical Analysis · 1980 · 94 citations

Natural Sciences, Mathematics, Differential Equations +14

An implicit-explicit approach for atmospheric transport-chemistry problems

J.G. Verwer, J.G. Blom, Willem Hundsdorfer · Applied Numerical Mathematics · 1996 · 93 citations

Natural Sciences, Earth Sciences, Meteorology +14

Non-smooth data error estimates for linearly implicit Runge-Kutta methods

Alexander Ostermann · IMA Journal of Numerical Analysis · 2000 · 22 citations

Computing, Mathematics, Computational Geometry +10