2 citations · 2 across the 4 of their papers we have counts for
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EPIRK-W and EPIRK-K time discretization methods
Mahesh Narayanamurthi, Paul Tranquilli, Adrian Sandu +1
Exponential integrators are special time discretization methods where the traditional linear system solves used by implicit schemes are replaced with computing the action of matrix…
LIRK-W: Linearly-implicit Runge-Kutta methods with approximate matrix factorization
Paul Tranquilli, Adrian Sandu, Hong Zhang
This paper develops a new class of linearly implicit time integration schemes called Linearly-Implicit Runge-Kutta-W (LIRK-W) methods. These schemes are based on an implicit-explic…
Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods
Hong Zhang, Adrian Sandu, Paul Tranquilli
Linearly implicit Runge-Kutta methods with approximate matrix factorization can solve efficiently large systems of differential equations that have a stiff linear part, e.g. reacti…