9 citations · 32 across the 12 of their papers we have counts for
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Error Inhibiting Methods for Finite Elements
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
Finite Difference methods (FD) are one of the oldest and simplest methods for solving partial differential equations (PDE). Block Finite Difference methods (BFD) are FD methods in…
A high order, block finite difference, error inhibiting scheme for the transport equation
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a six-order convergence rate for long times. This sc…
Error Inhibiting Methods for Finite Elements
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
Finite Difference methods (FD) are one of the oldest and simplest methods for solving partial differential equations (PDE). Block Finite Difference methods (BFD) are FD methods in…
Error Inhibiting Schemes for Initial Boundary Value Heat Equation
Adi Ditkowski, Paz Fink Shustin
Finite Difference (FD) schemes are widely used in science and engineering for approximating solutions of partial differential equations (PDEs). Error analysis of FD schemes relies…
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…