Implicit-explicit second derivative general linear methods with strong stability preserving explicit part
In this paper, we discuss the class of implicit–explicit (IMEX) methods for systems of ordinary
differential equations where the explicit part has strong stability preserving (SSP) property …
differential equations where the explicit part has strong stability preserving (SSP) property …
Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part
In this paper, we discuss the construction of a class of implicit-explicit (IMEX) methods for
systems of ordinary differential equations which their right hand side can be split into two …
systems of ordinary differential equations which their right hand side can be split into two …
The residual balanced IMEX decomposition for singly-diagonally-implicit schemes
SB Rodrigues, GBF Braga, MAF de Medeiros - Applied Numerical …, 2025 - Elsevier
In numerical time-integration with implicit-explicit (IMEX) methods, a within-step adaptable
decomposition called residual balanced (RB) decomposition is introduced. This new …
decomposition called residual balanced (RB) decomposition is introduced. This new …
Implicit–explicit two–step peer methods with RK stability for implicit part
We develop a new family of implicit–explicit (IMEX) schemes appropriate for dealing with the
systems of differential equations including two non–stiff and stiff parts on the right–hand …
systems of differential equations including two non–stiff and stiff parts on the right–hand …
Alternating directions implicit integration in a general linear method framework
Abstract Alternating Directions Implicit (ADI) integration is an operator splitting approach to
solve parabolic and elliptic partial differential equations in multiple dimensions based on …
solve parabolic and elliptic partial differential equations in multiple dimensions based on …
Strong stability preserving IMEX methods for partitioned systems of differential equations
G Izzo, Z Jackiewicz - Communications on Applied Mathematics and …, 2021 - Springer
We investigate strong stability preserving (SSP) implicit-explicit (IMEX) methods for
partitioned systems of differential equations with stiff and nonstiff subsystems. Conditions for …
partitioned systems of differential equations with stiff and nonstiff subsystems. Conditions for …
Strong stability preserving implicit–explicit transformed general linear methods
G Izzo, Z Jackiewicz - Mathematics and Computers in Simulation, 2020 - Elsevier
We consider the class of implicit–explicit (IMEX) general linear methods (GLMs) to construct
methods where the explicit part has strong stability preserving (SSP) property, while the …
methods where the explicit part has strong stability preserving (SSP) property, while the …
Parallel implicit-explicit general linear methods
High-order discretizations of partial differential equations (PDEs) necessitate high-order time
integration schemes capable of handling both stiff and nonstiff operators in an efficient …
integration schemes capable of handling both stiff and nonstiff operators in an efficient …
Multimethods for the efficient solution of multiscale differential equations
SB Roberts - 2021 - vtechworks.lib.vt.edu
Mathematical models involving ordinary differential equations (ODEs) play a critical role in
scientific and engineering applications. Advances in computing hardware and numerical …
scientific and engineering applications. Advances in computing hardware and numerical …
Strong Stability Preserving Integrating Factor General Linear Methods
In this paper, we discuss the numerical solution of systems of differential equations with both
linear (stiff) and nonlinear components that arise from the semi-discretization of certain …
linear (stiff) and nonlinear components that arise from the semi-discretization of certain …