Results 31 to 40 of about 10,782 (261)
Flux Splitting for Stiff Equations: A Notion on Stability [PDF]
Journal of Scientific Computing, 2014 For low Mach number flows, there is a strong recent interest in the development and analysis of IMEX (implicit/explicit) schemes, which rely on a splitting of the convective flux into stiff and nonstiff parts. A key ingredient of the analysis is the so-called Asymptotic Preserving (AP) property, which guarantees uniform consistency and stability as the
Jochen Schütz, Sebastian Noelle
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Solution of the reactor point kinetics equations by MATLAB computing [PDF]
Nuclear Technology and Radiation Protection, 2015 The numerical solution of the point kinetics equations in the presence of Newtonian temperature feedback has been a challenging issue for analyzing the reactor transients.
Singh Sudhansu S., Dinakrushna Mohapatra
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Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation
Computation, 2021 In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests.
Ádám Nagy +5 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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Mathematics, 2020 Recently, block backward differentiation formulas (BBDFs) are used successfully for solving stiff differential equations. In this article, a class of hybrid block backward differentiation formulas (HBBDFs) methods that possessed A –stability are ...
Zarina Bibi Ibrahim +1 more
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Stiff systems of ordinary differential equations. III. Partially stiff systems [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1982 AbstractThe partially stiff system of ordinary differential equationsis studied by the methods developed in the earlier papers in this series. Here e is a small positive parameter, x and y are n- and m-vectors respectively, and A is nonsingular. A useful basis for the solution space of the homogeneous system is constructed and the method of variation ...
Mahony, J. J., Shepherd, J. J.
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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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Adaptive integration algorithm for stiff ordinary differential equations
Lietuvos Matematikos Rinkinys, 1999 The accuracy of one adaptive integration algorithm is investigated. The accuracy of the discretization is estimated by comparing the discrete and exact stability factors.
Raimondas Čiegis, Olga Suboč
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Some Techniques for Solving “Stiff” Equations [PDF]
Bulletin of the Polytechnic Institute of Jassy: Constructions, Architechture Section, 2005 The Structural Dynamics involves a large amount of computational effort. Most dynamic structural models require the solution of a set of 2nd order differential equations.
Victor-Octavian Roşca
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The Finite Element Method for Stiff Ordinary Differential Equations
AppliedMathThe paper utilizes the continuous finite element method to solve stiff ordinary differential equations and proves that the linear finite element method and the quadratic finite element method have A-stability in solving autonomous ordinary differential ...
Yanhui Ding, Qiong Tang, Sijia Tang
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