-
Parallel implicit-explicit general linear methods
High-order discretizations of partial differential equations (PDEs) nece...
02/03/2020 ∙ by Steven Roberts, et al. ∙
0
∙
share
read it
-
On theoretical upper limits for valid timesteps of implicit ODE methods
Implicit methods for the numerical solution of initial-value problems ma...
12/18/2019 ∙ by K. R. Green, et al. ∙
0
∙
share
read it
-
Continuous Galerkin Schemes for Semi-Explicit Differential-Algebraic Equations
This paper studies a new class of integration schemes for the numerical ...
11/18/2020 ∙ by Robert Altmann, et al. ∙
0
∙
share
read it
-
Implicit-explicit BDF k SAV schemes for general dissipative systems and their error analysis
We construct efficient implicit-explicit BDFk scalar auxiliary variable ...
03/10/2021 ∙ by Fukeng Huang, et al. ∙
0
∙
share
read it
-
IMEX error inhibiting schemes with post-processing
High order implicit-explicit (IMEX) methods are often desired when evolv...
12/19/2019 ∙ by Adi Ditkowski, et al. ∙
0
∙
share
read it
-
Explicit and implicit error inhibiting schemes with post-processing
Efficient high order numerical methods for evolving the solution of an o...
10/07/2019 ∙ by Adi Ditkowski, et al. ∙
0
∙
share
read it
-
Implicit algorithms for eigenvector nonlinearities
We study and derive algorithms for nonlinear eigenvalue problems, where ...
02/28/2020 ∙ by Elias Jarlebring, et al. ∙
0
∙
share
read it
Convergence Results for Implicit–Explicit General Linear Methods
04/08/2020 ∙ by Adrian Sandu, et al. ∙
0
∙
share
This paper studies fixed-step convergence of implicit-explicit general linear methods. We focus on a subclass of schemes that is internally consistent, has high stage order, and favorable stability properties. Classical, index-1 differential algebraic equation, and singular perturbation convergence analyses results are given. For all these problems IMEX GLMs from the class of interest converge with the full theoretical orders under general assumptions. The convergence results require the time steps to be sufficiently small, with upper bounds that are independent on the stiffness of the problem.
READ FULL TEXT
Comments
There are no comments yet.