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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Fractional order SIR epidemic model with Beddington-De Angelis incidence and Holling type II treatment rate for COVID-19. [PDF]
J Appl Math Comput, 2022 Swati, Nilam.
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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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Non-linear System of Multi-order Fractional Differential Equations: Theoretical Analysis and a Robust Fractional Galerkin Implementation. [PDF]
J Sci Comput, 2022 Faghih A, Mokhtary P.
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Symplectic Runge-Kutta Schemes III: Canonical Elementary Differentials
, 1993 . It has been shown that numerical methods for Hamiltonian systems may be characterised in terms of so-called canonical elementary differentials. Recent results by the authors demonstrate that the symplecticity condition for Runge-Kutta schemes may be ...
M. Sofroniou, W. Oevel
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Analytical and qualitative investigation of COVID-19 mathematical model under fractional differential operator. [PDF]
Math Methods Appl Sci, 2021 Shah K +5 more
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Application of Sparse Matrix Techniques in the Chemical Part of a Large Air Pollution Model
, 2007 Large-scale air pollution models are represented by large systems of partial differential equations. After some discretization and splitting procedures these are transformed into several huge systems of ODE's, which are to be handled numerically ...
Z. Zlatev, Tz Ostromsky, Zahari Zlatev
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Discretization And Weak Invariants
, 1994 . We consider the preservation of weak solution invariants in the time integration of ordinary differential equations (ODEs). Recent research has concentrated on obtaining symplectic discretizations of Hamiltonian systems and schemes that preserve ...
B. Leimkuhler
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Convergence of Runge-Kutta methods for delay differential equations
, 1999 This paper deals with the adaptation of Runge--Kutta methods to the numerical solution of (nonstiff) initial value problems for delay differential equations.
K.J. in 't Hout +2 more
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Estimating Waveform Relaxation Convergence
, 1993 . Critical limitations of the waveform relaxation method concern the unsolved problems of estimating convergence and controlling the iteration. In this paper, waveform relaxation is applied to a linear, second-order model system and is studied in the ...
B. Leimkuhler
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