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math.NA2019
Two-derivative error inhibiting schemes with post-processing
Adi Ditkowski, Sigal Gottlieb, Zachary J. Grant
High order methods are often desired for the evolution of ordinary differential equations, in particular those arising from the semi-discretization of partial differential equation…
math.NA2019
IMEX error inhibiting schemes with post-processing
Adi Ditkowski, Sigal Gottlieb, Zachary J. Grant
High order implicit-explicit (IMEX) methods are often desired when evolving the solution of an ordinary differential equation that has a stiff part that is linear and a non-stiff p…
math.NA2019
Explicit and implicit error inhibiting schemes with post-processing
Adi Ditkowski, Sigal Gottlieb, Zachary J. Grant
Efficient high order numerical methods for evolving the solution of an ordinary differential equation are widely used. The popular Runge--Kutta methods, linear multi-step methods,…