Rational Approximation Method for Stiff Initial Value Problems [PDF]
Mathematics, 2021 While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov +3 more
doaj +5 more sources
Modern convergence theory for stiff initial-value problems
Journal of Computational and Applied Mathematics, 1993 This is a brief review on theoretical results about convergence of discretization schemes when applied to stiff ordinary differential equations. The authors consider problems satisfying a one-sided Lipschitz-condition and also singular perturbation problems. They mention that the results on \(B\)-convergence extend to problems of the form \(y' = J(t)y +
Winfried Auzinger, G Kirlinger
exaly +4 more sources
Preconditioning in parallel Runge-Kutta methods for stiff initial value problems
Computers and Mathematics With Applications, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P J Van Der Houwen, B P Sommeijer
exaly +3 more sources
An automatic multistep method for solving stiff initial value problems
Journal of Computational and Applied Mathematics, 1983 AbstractA multistep method with matricial coefficients is developed. It can be used to solve stiff initial value problems of the form y′ = Ay + g(x, y). This method bears the nature of the classical Adams—Bashforth—Moulton PC formula and can be shown to be consistent, convergent and A-stable.
Moody T Chu
exaly +4 more sources
Techniques for Mixed Multiple Shooting for solve Stiff Initial Value Problems
Tikrit Journal of Pure Science, 2023 The object of the research is to develop a number of techniques on the subject of multiple shooting for solving stiff initial value problems, and these techniques increase the accuracy of numerical solutions of stiff problems, as well as reduce the ...
Khalid A. M. Khalaf, Bashir M. S. Khalaf
doaj +2 more sources
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
doaj +2 more sources
A new adaptive nonlinear numerical method for singular and stiff differential problems
Alexandria Engineering Journal, 2023 In this work, a new adaptive numerical method is proposed for solving nonlinear, singular, and stiff initial value problems often encountered in real life.
Sania Qureshi +6 more
doaj +3 more sources
Linear multistep methods applied to stiff initial value problems—A survey
Mathematical and Computer Modelling, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G Kirlinger
exaly +2 more sources
A Family of Trigonometrically Fitted Enright Second Derivative Methods for Stiff and Oscillatory Initial Value Problems [PDF]
Journal of Applied Mathematics, 2015 A family of Enright’s second derivative formulas with trigonometric basis functions is derived using multistep collocation method. The continuous schemes obtained are used to generate complementary methods.
F. F. Ngwane, S. N. Jator
doaj +4 more sources
UMYU Scientifica Journal, 2022 In many fields of study such as science and engineering, various real life problems are created as mathematical models before they are solved. These models often lead to special class of ordinary differential equations known as stiff ODEs.
Najamuddeen Bala, Hamisu Musa
doaj +1 more source