Results 31 to 40 of about 7,385 (298)
The numerical solution of stiff differential equations [PDF]
FEBS Letters, 1969 The separate problem of stability and accuracy in numerical methods of approximating the solution of systems of non‐linear equations is then treated. Stress is laid on the consistently unsatisfactory results given by explicit methods for systems containing “stiff” equations, and implicit multistep methods are particularly recommended for this class of ...
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Survey of Parallel Block Methods [PDF]
مجلة التربية والعلم, 2010 The main purpose of this research is the survey of the development Block parallel numerical algorithms for solute stiff ordinary differential equations which are suitable for running on MIMD (Multiple instruction streams with multiple data streams ...
Bashir M. Khalaf +2 more
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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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Approximation by aliasing with application to “Certaine” stiff differential equations [PDF]
Mathematics of Computation, 1974 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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Development of technique of Backward integration step-by-step for solve stiff initial value problems
Tikrit Journal of Pure Science, 2023 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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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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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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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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, 2020 Explicit stabilized methods are an efficient and powerful alternative to implicit schemes for the time integration of stiff systems of differential equations in large dimensions.
Almuslimani, Ibrahim
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Continuous Runge–Kutta schemes for pantograph type delay differential equations
Partial Differential Equations in Applied MathematicsPantograph 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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