Strong stability preserving second derivative general linear methods

A Moradi, J Farzi, A Abdi - Journal of Scientific Computing, 2019 - Springer
strong stability preserving (SSP) conditions for second derivative general linear methods (…
class of the methods such as two derivative Runge–Kutta methods investigated by Christlieb et …

Strong stability preserving second derivative general linear methods with Runge–Kutta stability

A Moradi, A Abdi, J Farzi - Journal of Scientific Computing, 2020 - Springer
… of second derivative general linear method with Runge–Kutta stability property preserving
the strong stability … Then we present such methods that are obtained by the solution of the …

Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations

A Moradi, A Abdi, G Hojjati - Journal of Scientific Computing, 2024 - Springer
… of explicit second derivative general linear methods (SGLMs) with strong stability preserving
(SSP) … in which their linear stability regions are designed for DG spatial discretizations. Such …

Implicit-explicit second derivative general linear methods with strong stability preserving explicit part

A Moradi, A Abdi, G Hojjati - Applied Numerical Mathematics, 2022 - Elsevier
… In this paper, we will investigate methods in which the non-stiff part f … strong stability preserving
(SSP) property of the explicit methods, absolute stability, and regions of absolute stability

Strong stability preserving implicit and implicit–explicit second derivative general linear methods with RK stability

A Moradi, A Abdi, G Hojjati - Computational and Applied Mathematics, 2022 - Springer
derivative conditions. In this paper, we extend this new second derivative conditions for SGLMs
… Although derived methods in this paper are not unconditional SSP, their SSP coefficients …

Strong stability preserving general linear methods

G Izzo, Z Jackiewicz - Journal of Scientific Computing, 2015 - Springer
… the strong stability preserving (SSP) general linear methods with … of starting procedures for
these methods. Examples of SSP … in Albrecht approach to the derivation of order conditions. …

Optimal explicit strong-stability-preserving general linear methods

EM Constantinescu, A Sandu - SIAM Journal on Scientific Computing, 2010 - SIAM
strong-stability-preserving general linear time-stepping methods that are well suited for
hyperbolic PDEs discretized by the methodlinear combinations of stage values and derivatives

A review of high order strong stability preserving two-derivative explicit, implicit, and IMEX methods

S Gottlieb, ZJ Grant - arXiv preprint arXiv:2412.15142, 2024 - arxiv.org
… treated implicitly, and in Section 5 we extend this approach to IMEX general linear methods.
… This review paper focuses on methods that include a second derivative terms. The analysis …

Strong stability preserving second derivative multistep methods

P Khakzad, A Moradi, A Abdi, G Hojjati - Numerical Algorithms, 2024 - Springer
… development of strong stability properties for the second derivative multistep methods (SDMMs). …
derivative general linear methods (SGLMs) have been investigated to numerically solve …

Strong stability-preserving high-order time discretization methods

S Gottlieb, CW Shu, E Tadmor - SIAM review, 2001 - SIAM
… -order strong stabilitypreserving (SSP) time discretization methods for the semidiscrete method
of … the same spatial derivative(s) as L, but that the strong stability property hold with un+1 …