Results 31 to 40 of about 6,208 (302)
High order second derivative diagonally implicit multistage integration methods for ODEs
Mathematical Modelling and Analysis, 2023 Construction of second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass of second derivative general linear methods with Runge–Kutta stability property requires to generate the corresponding conditions depending of ...
Mohammad Sharifi +3 more
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Krylov Implicit Integration Factor Methods for Semilinear Fourth-Order Equations
Mathematics, 2017 Implicit integration factor (IIF) methods were developed for solving time-dependent stiff partial differential equations (PDEs) in literature. In [Jiang and Zhang, Journal of Computational Physics, 253 (2013) 368–388], IIF methods are designed to ...
Michael Machen, Yong-Tao Zhang
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Rational Approximation Method for Stiff Initial Value Problems
Mathematics, 2021 While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov +3 more
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Krylov SSP Integrating Factor Runge–Kutta WENO Methods
Mathematics, 2021 Weighted essentially non-oscillatory (WENO) methods are especially efficient for numerically solving nonlinear hyperbolic equations. In order to achieve strong stability and large time-steps, strong stability preserving (SSP) integrating factor (IF ...
Shanqin Chen
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A novel method for alleviating numerical stiffness in Li-ion thermal abuse models
Journal of Power Sources Advances, 2023 Numerical modeling of thermal runaway in Lithium-ion batteries has become a critical tool for designing safer battery systems. Significant progress has been made in developing kinetic mechanisms for decomposition reactions and including additional ...
Jason Ostanek +2 more
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A new order m – 1 rational integrator with an inhomogeneuous constant
Scientific African, 2023 In this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations.
Fidelis Ebhohomen +1 more
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Effective simulation techniques for biological systems [PDF]
, 2004 In this paper we give an overview of some very recent work on the stochastic simulation of systems involving chemical reactions. In many biological systems (such as genetic regulation and cellular dynamics) there is a mix between small numbers of key ...
Tian, T., Burrage, K.
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KRYLOV SUBSPACE METHODS FOR SOLVING LARGE LYAPUNOV EQUATIONS [PDF]
, 1994 Published ...
KASENALLY, EM, JAIMOUKHA, IM
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On overcoming Dahlquist’s second barrier for$A$-stable linear multistep methods [PDF]
Iranian Journal of Numerical Analysis and OptimizationDahlquist’s second barrier limits the order of $A$-stable linear multistep methods to at most two, posing significant challenges for achieving higher accuracy in the numerical solution of stiff ordinary differential equations.
G. Hojjati, S. Fazeli, A. Moradi
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Semi-Implicit Multistep Extrapolation ODE Solvers
Mathematics, 2020 Multistep methods for the numerical solution of ordinary differential equations are an important class of applied mathematical techniques. This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and
Denis Butusov +4 more
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