A parallelizable preconditioner for the iterative solution of implicit Runge–Kutta-type methods (original) (raw)
Related papers
Parallel iterative linear solvers for multistep Runge-Kutta methods
Journal of Computational and Applied Mathematics, 1996
Mono-implicit Runge-Kutta schemes for the parallel solution of initial value ODEs
Journal of Computational and Applied Mathematics, 1999
Parallel linear system solvers for Runge-Kutta-Nyström methods
Journal of Computational and Applied Mathematics - J COMPUT APPL MATH, 1997
Aspects of parallel Runge-Kutta methods
SMRK: A Parallel Implementation of Multistep Runge-Kutta methods for Sti ODEs
High Order Explicit Two-Step Runge-Kutta Methods for Parallel Computers
Journal of Computing and Information Technology, 2000
Design and Implementation of Predictors for Additive Semi-Implicit Runge–Kutta Methods
SIAM Journal on Scientific Computing, 2009
Implementation of high-order implicit runge-kutta methods
Severiano Pinto, S. Pérez--Rodríguez
Computers & Mathematics with Applications, 2001
Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs
Lecture Notes in Computer Science, 2005
Heru Suhartanto, Kevin Burrage
Advances in Computational Mathematics, 2000
Fudziah Ismail, Zanariah Abdul Majid
Lecture Notes in Electrical Engineering, 2009
Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems
Numerical Algorithms, 1994
MODIFIED DIAGONALLY IMPLICIT RUNGE-KUTTA METHODS
Improving the efficiency of the iterative schemes for implicit Runge-Kutta methods
Journal of Computational and Applied Mathematics, 1996
A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers
Numerical Algorithms, 1993
Convergence aspects of step-parallel iteration of Runge-Kutta methods
Applied Numerical Mathematics, 1995
A New Block Preconditioner for Implicit Runge--Kutta Methods for Parabolic PDE Problems
SIAM Journal on Scientific Computing, 2021
Comparison of 3- and 5-stage Multi-Implicit Runge-Kutta Methods
Parallel iterated methods based on multistep Runge-Kutta methods of Radau type
1997
Parallel iteration of symmetric Runge—Kutta methods for nonstiff initial-value problems
Journal of Computational and Applied Mathematics, 1994
Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems
1997
Iterative schemes for three-stage implicit Runge-Kutta methods
Applied Numerical Mathematics, 1995
SIAM Journal on Scientific Computing
A parallel DIRK method for stiff initial-value problems
Journal of Computational and Applied Mathematics - J COMPUT APPL MATH, 1994
Parallelizing a fourth-order Runge-Kutta method
1997
The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
SIAM Journal on Numerical Analysis, 1995
Journal of Computational and Applied Mathematics, 1995
2018 AIAA Aerospace Sciences Meeting, 2018
A parallel matrix-free implementation of a Runge-Kutta code
1997
A method for constructing generalized Runge-Kutta methods
Journal of Computational and Applied Mathematics, 1991
Step-parallel algorithms for stiff initial value problems
Computers & Mathematics with Applications, 1995
The solution of implicit differential equations on parallel computers
Applied Numerical Mathematics, 1997
Runge-Kutta Software for the Parallel Solution of Boundary Value ODEs
2000