Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation. [PDF]
Appl Math Model, 2021 Rafiq M +3 more
europepmc +1 more source
The numerical solution of delay-differential-algebraic equations of retarded and neutral type
, 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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Exponential Integrators For Quantum-Classical Molecular Dynamics
, 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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Explicit Methods for Stiff ODEs from Atmospheric Chemistry [PDF]
, 1994 The subject of research is the numerical integration of atmospheric chemical kinetics systems. The application lies in the study of air pollution, modelled by atmospheric chemistry-transport problems.
Simpson, D. +4 more
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Block Toeplitz Preconditioning for Static and Dynamic Linear Systems
, 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
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Low-rank Parareal: a low-rank parallel-in-time integrator. [PDF]
BIT Numer Math, 2023 Carrel B, Gander MJ, Vandereycken B.
europepmc +1 more source
A new framework for polynomial approximation to differential equations. [PDF]
Adv Comput Math, 2022 Brugnano L +3 more
europepmc +1 more source
Convolution-Based Chebyshev Acceleration Of Waveform Relaxation Methods
, 1997 . Waveform relaxation is a numericalmethod for solving large-scale systems of ordinary differential equations. In this paper, it is investigated whether the convergence of waveform relaxation can be accelerated by Chebyshev acceleration techniques.
Stefan Vandewalle, Jan Janssen
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Numerical results for a parallel linearly-implicit Runge-Kutta method
, 2007 Zusammenfassung Numerical results for a parallel linearly--implicit Runge--Kutta method. For the parallelization of implicit Runge--Kutta methods for stiff ODE's a parallel computation of the stages is obvious.
Jürgen Bruder +2 more
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Gauss-Seidel Iteration for Stiff ODEs from Chemical Kinetics [PDF]
, 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 +2 more
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