Results 41 to 50 of about 1,700 (198)
A uniform quantitative stiff stability estimate for BDF schemes [PDF]
Opuscula Mathematica, 2006 The concepts of stability regions, \(A\)- and \(A(\alpha)\)-stability - albeit based on scalar models - turned out to be essential for the identification of implicit methods suitable for the integration of stiff ODEs.
Winfried Auzinger, Wolfgang Herfort
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Analysis of the Enright-Kamel partitioning method for stiff ODEs [PDF]
, 1989 The use of implicit formulae in the solution of stiff ODEs gives rise to systems of nonlinear equations which are usually solved iteratively by a modified Newton scheme. The linear algebra costs associated with such schemes may form a substantial part of
Higham, D.J.
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Journal of Algorithms & Computational Technology, 2012 This paper considers family of A(α)-stable second derivative linear multistep methods of order p = k + 3 for step number k ≥ 15 for the solution of stiff IVPs in ODEs. The methods are demonstrated to be A(α)-stable for k ≥ 13.
R. I. Okuonghae, M. N. O. Ikhile
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Super class of implicit extended backward differentiation formulae for the numerical integration of stiff initial value problems [PDF]
Computational Algorithms and Numerical DimensionsAn implicit Superclass of non-block Extended Backward Differentiation Formulae (SEBDF) for the numerical integration of first-order stiff system of Ordinary Differential Equations (ODEs) in Initial Value Problems (IVPs) with optimal stability properties ...
Hamisu Musa, Buhari Alhassan
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Advances in Difference Equations, 2020 In this paper, we analyze the criteria for the stability of a method suited to the ordinary differential equations models. The relevant proof that the method satisfies the condition of stiff stability is also provided.
Hazizah Mohd Ijam +3 more
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Explicit time-stepping for stiff ODEs [PDF]
, 2003 We present a new strategy for solving stiff ODEs with explicit methods. By adaptively taking a small number of stabilizing small explicit time steps when necessary, a stiff ODE system can be stabilized enough to allow for time steps much larger than what
Johnson, Claes, +2 more
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CNN‐based ultrafast solver of stiff ODEs and PDEs for enabling realtime Computational Engineering [PDF]
, 2011 PurposeThis paper seeks to develop, propose and validate, through a series of presentable examples, a comprehensive high‐precision and ultra‐fast computing concept for solving stiff ordinary differential equations (ODEs) and partial differential ...
K. Kyamakya, J.C. Chedjou
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On a Variational Method for Stiff Differential Equations Arising from Chemistry Kinetics
Mathematics, 2019 For the approximation of stiff systems of ODEs arising from chemistry kinetics, implicit integrators emerge as good candidates. This paper proposes a variational approach for this type of systems.
Sergio Amat +2 more
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A Special Family of LMM with Two Hybrid Points for Stiff ODEs [PDF]
, 2013 Hybrid methods with one or more off-step points give better stabilitycharacteristics and higher order than the conventional linear multistep methods (LMM).
Nwachukwu, GC
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A piecewise-linearized algorithm based on the Krylov subspace for solving stiff ODEs [PDF]
, 2011 Numerical methods for solving Ordinary Differential Equations (ODEs) have received considerable attention in recent years. In this paper a piecewise-linearized algorithm based on Krylov subspaces for solving Initial Value Problems (IVPs) is proposed ...
Ruiz Martínez, Pedro Antonio +10 more
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