Results 11 to 20 of about 9,706 (180)
An Accurate Block Solver for Stiff Initial Value Problems [PDF]
ISRN Applied Mathematics, 2013 New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode. The strategy for changing the step size for optimum performance involves halving, increasing by a multiple of 1.7, or maintaining the current step size.
Musa, H. +4 more
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New Algorithm for First order Stiff Initial Value Problems
Fasciculi Mathematici, 2017 AbstractIn this paper, we consider the development and implementation of algorithms for the solution of stiff first order initial value problems. Method of interpolation and collocation of basis function to give system of nonlinear equations which is solved for the unknown parameters to give a continuous scheme that is evaluated at selected grid points
Adesanya, A. O. +2 more
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A HIGHER ORDER A-STABLE DIAGONALLY IMPLICIT 2-POINT SUPER CLASS OF BLOCK EXTENDED BACKWARD DIFFERENTIATION FORMULA FOR SOLVING STIFF INITIAL VALUE PROBLEMS [PDF]
Matrix Science MathematicThis paper presents the formulation of higher order diagonally implicit 2-point super class of block extended backward differentiation formula (2DSBEBDF) for solving first order stiff initial value problems.
Buhari Alhassan, Hamisu Musa
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Step-parallel algorithms for stiff initial value problems [PDF]
Computers & Mathematics with Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van der Veen, W.A. +1 more
core +9 more sources
Stiffness in numerical initial-value problems
Journal of Computational and Applied Mathematics, 1996 This paper reviews various aspects of stiffness and attempts to give a clear definition of this concept. It is shown by a number of examples and analysis that classical results derived without taking stiffness into account can be relevant for certain nonlinear stiff problems but inappropriate for others.
Spijker, M.N., M.N. Spijker
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Time parallelization scheme with an adaptive time step size for solving stiff initial value problems
Open Mathematics, 2018 In this paper, we introduce a practical strategy to select an adaptive time step size suitable for the parareal algorithm designed to parallelize a numerical scheme for solving stiff initial value problems. For the adaptive time step size, a technique to
Bu Sunyoung
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Uniform and optimal schemes for stiff initial-value problems
Computers & Mathematics with Applications, 1987 The author derives conditions for the uniform convergence of some difference schemes for the stiff initial value problem \(\epsilon u'(x)+a(x)u(x)=f(x),\) \(x>0\), u(0) given. These conditions are interpreted in terms of modelling the transient behaviour sufficiently well (fitted schemes). For good behaviour outside the initial layer further conditions
Farrell, P.A.
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A Matricial Exponentially Fitted Scheme for the Numerical Solution of Stiff Initial-Value Problems
Computers & Mathematics with Applications, 1993 For the ordinary differential equation initial value problem, \(y' = f(t,y)\) given \(y(0)= y_ 0\), the scheme \(y_{n+1} = y_ n + (e^{hJ_ n} - I)J^{-1}_ nf_ n\) is considered. To enable the implementation of this method, an algorithm is given for computing the matrix exponential and a local error estimate is derived, based on computing two half steps ...
Carroll, J.
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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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Numerical solution of stiff systems of differential equations arising from chemical reactions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 Long time integration of large stiff systems of initial value problems, arising from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability region.
Gholamreza Hojjati +3 more
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