Results 51 to 60 of about 148 (128)
Evaluation of COVID-19 pandemic spreading using computational analysis on nonlinear SITR model. [PDF]
Ghasemi SE, Gouran S.
europepmc +1 more source
. 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
. 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
core
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation. [PDF]
Rafiq M +3 more
europepmc +1 more source
The numerical solution of delay-differential-algebraic equations of retarded and neutral type
. 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
core
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]
Carrel B, Gander MJ, Vandereycken B.
europepmc +1 more source
Gauss-Seidel Iteration for Stiff ODEs from Chemical Kinetics [PDF]
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]
Brugnano L +3 more
europepmc +1 more source
Block Toeplitz Preconditioning for Static and Dynamic Linear Systems
. 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

