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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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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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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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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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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Exploiting structure in the construction of DIMSIMs
, 1997 . We describe the structure of the nonlinear system for the coefficients of diagonally implicit multistage integration methods for ordinary differential equations.
H. D. Mittelmann, Z. Jackiewicz
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A Parallel Stiff ODE Solver based on MIRKs
, 1996 A parallel, "across the method" implementation of a stiff ODE solver is presented. The construction of the methods is outlined and the main implementational issues are discussed.
Claus Bendtsen
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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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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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An efficient algorithm for solving piecewise-smooth dynamical systems. [PDF]
Numer Algorithms, 2022 Guglielmi N, Hairer E.
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