Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 In this research we studied the numerical stability for Implicit-Explicit Additive Runge-Kutta (IMEX-ARK) methods which have the A[]-stability .This stability is equivalent A-stability of (B()-ARK) methods where B()=B1+(1-)B2 of second and third
Thair Thanoon, Younis Hussain
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Numerical Methods for Singular Perturbation Problems [PDF]
, 1981 Consider the two-point boundary value problem for a stiff system of ordinary differential equations.
Kreiss, Barbro, Kreiss, Heinz-Otto
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Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems
Applied Sciences, 2022 Integration of a larger stiff system of initial value problems emerging from chemical kinetics models requires a method that is both efficient and accurate, with a large absolute stability region. To determine the solutions of the stiff chemical kinetics
Hira Soomro +7 more
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On the convergence of Lawson methods for semilinear stiff problems [PDF]
, 2017 Since their introduction in 1967, Lawson methods have achieved constant interest in the time discretization of evolution equations. The methods were originally devised for the numerical solution of stiff differential equations. Meanwhile, they constitute
Hochbruck, Marlis, Ostermann, Alexander
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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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An efficient numerical algorithm for the transient analysis of high-frequency non-linear circuits [PDF]
, 2002 The paper proposes a new approach for the discrete-time integration of non-linear differential equations that describe the behaviour of high-frequency circuits, in particular those containing complex equivalent-circuit models of microwave transistor ...
Brazil, T. J. +2 more
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Effect of Axial Stresses of the Core on the Free Vibration Response of a Sandwich Beam with FG Carbon Nanotube Faces and Stiff and Flexible Cores [PDF]
Journal of Stress Analysis, 2019 In this article, a vibrational behavior of sandwich beams with stiff and flexible cores and face sheets reinforced with carbon nanotubes is investigated. Carbon nanotubes are used as materials with properties varying along the thickness.
S. Etehadi, M. Botshekanan Dehkordi
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Techniques for Mixed Multiple Shooting for solve Stiff Initial Value Problems
Tikrit Journal of Pure Science, 2023 The object of the research is to develop a number of techniques on the subject of multiple shooting for solving stiff initial value problems, and these techniques increase the accuracy of numerical solutions of stiff problems, as well as reduce the ...
Khalid A. M. Khalaf, Bashir M. S. Khalaf
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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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A generalisation of the Heckmann - Schucking cosmological solution [PDF]
, 2003 An exact solution of the Einstein equations for a Bianchi -I universe in the presence of dust, stiff matter and cosmological constant, generalising the well-known Heckmann-Schucking solution is presented.
A.Yu. Kamenshchik +20 more
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