68 citations · 127 across the 31 of their papers we have counts for
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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…
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…
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,…
L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations
Yanlai Chen, Sigal Gottlieb, Lijie Ji +2
The onerous task of repeatedly resolving certain parametrized partial differential equations (pPDEs) in, e.g. the optimization context, makes it imperative to design vastly more ef…
Strong Stability Preserving Integrating Factor Two-step Runge--Kutta Methods
Leah Isherwood, Zachary J. Grant, Sigal Gottlieb
Problems that feature significantly different time scales, where the stiff time-step restriction comes from a linear component, implicit-explicit (IMEX) methods alleviate this rest…