Extrapolation at stiff differential equations
Numerische Mathematik, 1988 Asymptotic expansions for the global error for extrapolation methods using the implicit Euler method, the linearly implicit Euler method and the linearly implicit midpoint rule for stiff initial value problems in ordinary differential equations are derived. Practical implications of these results for error estimation and step-size control are indicated.
Hairer, E., Lubich, C.
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 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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An introduction to regular splines and their application for initial value problems of ordinary differential equations [PDF]
, 1975 This report describes an application of the general method of integrating initial value problems by means of regular splines for equations with movable singularities.
Werner, H
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Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]
, 2010 Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
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Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]
, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
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Ride Analysis For Suspension System of off-Road Tracked Vehicles [PDF]
, 1991 In this work. an attempt has been made to develop a programming package for ride analysis of off-road vehicles based upon a finite-element formulation of vehicle suspension systems.
Kasim, Salim Y.
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Stability regions for one-step multiderivative methods [PDF]
, 1981 Stability regions are plotted for certain members of a family of one-step multiderivative predictor-corrector methods developed by the authors in an earlier paper.
Khaliq, AQM, Twizell, EH
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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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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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Journal of Nigerian Society of Physical Sciences, 2021 Continuous hybrid methods are now recognized as efficient numerical methods for problems whose solutions have finite domains or cannot be solved analytically.
Friday Obarhua +1 more
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