Haar wavelet method for solving stiff differential equations
Application of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered.
Ülo Lepik
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An efficient numerical algorithm for the transient analysis of high-frequency non-linear circuits [PDF]
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 ...
Condon, Marissa +5 more
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A-Stable High Order Hybrid Linear Multistep Methods for Stiff Problems
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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Development of technique of Backward integration step-by-step for solve stiff initial value problems
Our purpose in this paper is the development of the technique of backward integration step-by-step, In order to facilitating the use of this technique for solving the Stiff Problems.
Khalid A. M. Khalaf, Bashir M. S. Khalaf
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Approximation by aliasing with application to “Certaine” stiff differential equations [PDF]
The usual method of finding an accurate trigonometric interpolation for a function with dominant high frequencies requires a large number of calculations. This paper shows how aliasing can be used to achieve a great reduction in the computations in cases when the high frequencies are known beforehand.
Snider, Arthur David +1 more
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The Finite Element Method for Stiff Ordinary Differential Equations
The 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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Some Techniques for Solving “Stiff” Equations [PDF]
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
doaj
Stiff systems of ordinary differential equations. III. Partially stiff systems [PDF]
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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Continuous Runge–Kutta schemes for pantograph type delay differential equations
Pantograph differential equations are important types of delay differential equations. Using continuous mono-implicit RK schemes, we propose a numerical method for numerically approximating pantograph delay differential equations that are reliable and ...
Fathalla A. Rihan
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Extrapolated Implicit–Explicit Runge–Kutta Methods
We investigate a new class of implicit–explicit singly diagonally implicit Runge–Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current step by
Angelamaria Cardone +3 more
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