Results 51 to 60 of about 148 (128)

Spectral approximation of time windows in the solution of dissipative linear differential equations, submitted to IMA

open access: yes, 2008
. We establish a relation between the length T of the integration window of a linear differential equation x ′ + Ax = b and a spectral parameter s ∗. This parameter is determined by comparing the exact solution x(T) at the end of the integration window ...
B. D. Welfert, K. Burrage, Z. Jackiewicz
core  

Exponential Integrators For Quantum-Classical Molecular Dynamics

open access: yes, 1999
. We study time integration methods for equations of mixed quantum-classical molecular dynamics in which Newtonian equations of motion and Schrodinger equations are nonlinearly coupled. Such systems exhibit different time scales in the classical and the
Marlis Hochbruck, Christian Lubich
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The numerical solution of delay-differential-algebraic equations of retarded and neutral type

open access: yes, 1995
. In this paper we consider the numerical solution of initial-value delay-differentialalgebraic equations (DDAEs) of retarded and neutral types, with a structure corresponding to that of Hessenberg DAEs.
Uri M. Ascher, R. Petzold, Linda
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Arne Marthinsen

open access: yes, 1997
During the last few years, different approaches for integrating ordinary differential equations on manifolds have been published. In this work, we consider two of these approaches.
Brynjulf Owren   +2 more
core  

Low-rank Parareal: a low-rank parallel-in-time integrator. [PDF]

open access: yesBIT Numer Math, 2023
Carrel B, Gander MJ, Vandereycken B.
europepmc   +1 more source

Gauss-Seidel Iteration for Stiff ODEs from Chemical Kinetics [PDF]

open access: yes, 1993
A simple Gauss-Seidel technique is proposed which exploits the special form of the chemical kinetics equations. Classical Aitken extrapolation is applied to accelerate convergence.
J. G. Verwer, Verwer, J.G. (Jan)
core  

A new framework for polynomial approximation to differential equations. [PDF]

open access: yesAdv Comput Math, 2022
Brugnano L   +3 more
europepmc   +1 more source

Block Toeplitz Preconditioning for Static and Dynamic Linear Systems

open access: yes, 1996
. Acceleration techniques for iterative methods for linear systems of both static (Qy = b) and dynamic (y 0 = Qy+g(t)) type are analyzed. A new splitting Q = M \Gamma N , where M is block-Toeplitz is proposed.
B. Welfert, K. Burrage, Z. Jackiewicz
core  

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