Results 61 to 70 of about 9,706 (180)
An improved 2-point block backward differentiation formula for solving stiff initial value problems [PDF]
, 2012 A new block method that generates two values simultaneously is developed for the integration of stiff initial value problems. The method is proven to be A – stable and is a super class of the 2 – point block backward differentiation formula (BBDF).
Musa, Hamisu +9 more
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A Chebyshev Collocation Method for Stiff Initial Value Problems and Its Stability
Kyungpook mathematical journal, 2011 The Chebyshev collocation method in [21] to solve stiff initial-value problems is generalized by using arbitrary degrees of interpolation polynomials and arbitrary collocation points. The convergence of this generalized Chebyshev collocation method is shown to be independent of the chosen collocation points. It is observed how the stability region does
Sang-Dong Kim +3 more
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The minimization of moments and reactive forces in grillages with a genetic algorithm
Engineering Structures and Technologies, 2019 The aim of the article is to report a technology for the optimization of grillage-type foundations seeking for the least possible reactive forces in the piles for a given number of piles and in the absolute value of the bending moments when connecting ...
Rimantas Belevičius +2 more
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Defect correction techniques for stiff initial value problems
, 2003 In the talk given by W.Auzinger it is shown that certain modified defect correction algorithms based on techniques like defect interpolation (IPDeC) and defect quadrature (IQDeC) enable the efficient iterative realization of superconvergent collocation ...
Hofstätter, Harald +3 more
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Journal of Numerical Analysis and Approximation TheorySecond-order initial value problems (IVPs) in ordinary differential equations (ODEs) are ubiquitous in various fields, including physics, engineering, and economics.
Robert I. Okuonghae, Joshua K. Ozobokeme
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Journal of Applied MathematicsThis paper introduces a novel approach for solving first-order stiff initial value problems through the development of a one-step family of three optimized second-derivative hybrid block methods.
Saidu Daudu Yakubu, Precious Sibanda
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, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Recent Advances in Natural SciencesMethods for integrating stiff initial value problems are required to be A-stable. Of great interest are A-stable methods whose Jacobian matrices have their eigenvalues close to the imaginary axis of the complex plane.
James kona, Kingsley Muka
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Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems
Numerical Algorithms, 1994 The paper deals with the solution of the initial value problem: \(y'(t)= f(y(t))\), \(y(t_ 0)= y_ 0\), \(y,f\in \mathbb{R}^ d\) on parallel computers using step-parallel iteration methods. As corrector formula the authors adopt a classical implicit Runge-Kutta formula of Radau IIA type.
P.J. van der Houwen (Piet) +2 more
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An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems [PDF]
, 2015 A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable.
Musa, Hamisu +2 more
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