Results 21 to 30 of about 83,156,277 (277)
A-Stable High Order Hybrid Linear Multistep Methods for Stiff Problems
Journal of Algorithms & Computational Technology, 2014 This paper considers a new class of high order hybrid linear multistep methods for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
R. I. Okuonghae
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An Analytical Study on Two High-Order Hybrid Methods to Solve Systems of Nonlinear Equations
Journal of Mathematics, 2023 In order to solve systems of nonlinear equations, two novel iterative methods are presented. The successive over-relaxation method and the Chebyshev-like iterative methods to solve systems of nonlinear equations have combined to obtain the new algorithms.
Hooman Darvishi, M. T. Darvishi
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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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Finite element multistep multideriavative schemes for parabolic equations [PDF]
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
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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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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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