Results 11 to 20 of about 1,700 (198)
A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs [PDF]
Journal of Applied Mathematics, 2019 In this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered.
I. B. Aiguobasimwin, R. I. Okuonghae
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A class of explicit second derivative general linear methods for non-stiff ODEs [PDF]
Mathematical Modelling and AnalysisIn this paper, we construct explicit second derivative general linear methods (SGLMs) with quadratic stability and a large region of absolute stability for the numerical solution of non-stiff ODEs.
Mohammad Sharifi +3 more
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Construction of a multirate RODAS method for stiff ODEs [PDF]
Journal of Computational and Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savcenco, V Valeriu, Savcenco, V.
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Solution of structured non-stiff ODEs [PDF]
Journal of Computational and Applied Mathematics, 1986 The author considers the problem of numerical solution of systems of ordinary differential equations by Runge-Kutta methods. He points out that there are formulae which become more efficient than those in general purpose codes if one exploits the structure that a large amount of the cost for evaluating f is due to the evaluation of functions of the ...
Shampine, Lawrence F.
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Stiff-PINN: Physics-Informed Neural Network for Stiff Chemical Kinetics [PDF]
, 2021 The recently developed physics-informed neural network (PINN) has achieved success in many science and engineering disciplines by encoding physics laws into the loss functions of the neural network such that the network not only conforms to the ...
Zhiyu Shi (11361373) +9 more
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Parallel Solver for Oscillatory Stiff Systems of ODEs [PDF]
, 2022 The aim of this study will be to design Parallel solver (PS) for oscillatory stiff systems of ordinary differential equations (ODEs). PS will be constructed via a type of specially transformed exponentially fitted multinomial approximant in accordance ...
Abodunrin, Temitope +2 more
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طرائق رنج – کوتا الضمنیة المتوازیة لحل المعادلات التفاضلیة الاعتیادیة الصلبة [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 The main objective of this paper is to develop and construct numerical algorithms for solving stiff system of ordinary differential equations (ODEs) which are suitable for running on parallel computers (MIMD computers).Semi-parallel implicit Runge-Kutta ...
Bashir M. S. Khalaf +1 more
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A Variable Step Reduction Block Solver for Stiff ODEs [PDF]
, 2022 This research study is aimed at developing variable step reduction block solver (VSRBS) for stiff ODEs. This step reduction block solver will embrace the technic of variable step-variable order to determine suited variable step size.
Egharevba, M. E. +3 more
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AN EFFICIENT BLOCK SOLVER OF TRIGONOMETRICALLY FITTED METHOD FOR STIFF ODEs [PDF]
, 2022 An efficient block solver of trigonometrically fitted method for stiff ODEs has been developed. This block solver utilizes a special trigonometrically fitted method as the basis function approximation with the introduction of varying step, varying ...
Adewale, Okunuga Solomon +2 more
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The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF [PDF]
, 2012 summary:This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A$(\alpha )$-stable for step length $k\le 7$
Ikhile, M. N. O., Okuonghae, R. I.
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