Results 21 to 30 of about 11,954,701 (266)
Functional continuous Runge–Kutta–Nyström methods
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Numerical methods for solving retarded functional differential equations of the second order with right-hand side independent of the function derivative are considered. The approach used by E. Nyström for second-order ordinary differential equations with
Alexey Eremin
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Strong approximation for Itô stochastic differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 In this paper, a class of semi-implicit two-stage stochastic Runge-Kutta methods (SRKs) of strong global order one, with minimum principal error constants are given.
Mehran Namjoo
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New class of hybrid explicit methods for numerical solution of optimal control problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 Forward-backward sweep method (FBSM) is an indirect numerical method used for solving optimal control problems, in which the differential equation arising from this method is solved by the Pontryagin’s maximum principle.
M. Ebadi, I. Malih Maleki, A. Ebadian
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Runge-Kutta methods are stable
CoRR, 2023 We prove that Runge-Kutta (RK) methods for numerical integration of arbitrarily large systems of Ordinary Differential Equations are linearly stable. Standard stability arguments -- based on spectral analysis, resolvent condition or strong stability, fail to secure the stability of arbitrarily large RK systems.
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Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 The Runge-Kutta method is a one step method with multiple stages, the number of stages determine order of method. The method can be applied to work out on differential equation of the type’s explicit, implicit, partial and delay differential equation etc.
Vijeyata Chauhan +1 more
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Volume preservation by Runge–Kutta methods [PDF]
Applied Numerical Mathematics, 2016 17 pages, as submitted to ...
Bader, Philipp +3 more
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Order conditions for partitioned Runge-Kutta methods [PDF]
, 2000 summary:We illustrate the use of the recent approach by P. Albrecht to the derivation of order conditions for partitioned Runge-Kutta methods for ordinary differential ...
Vermiglio, Rossana +2 more
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Modifying Runge – Kutta methods with higher order derivative approximations [PDF]
مجلة التربية والعلم, 1970 In this paper, we modify some sort of Runge-Kutta methods developed by David and Olin which needless function evaluation than ordinary corresponding Runge-Kutta methods.
Bashir Khlaf, Ghanim Abdullah
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Runge–Kutta methods and renormalization [PDF]
The European Physical Journal C, 2000 A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field the ory, following Kreimer's approach.
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On Adaptive Patankar Runge–Kutta methods [PDF]
PAMM, 2021 AbstractWe apply Patankar Runge–Kutta methods to y′ = M(y)y and focus on the case where M(y) is a graph Laplacian as the resulting scheme will preserve positivity and total mass. The second order Patankar Heun method is tested using four test problems (stiff and non‐stiff) cast into this form.
Kopecz, Stefan +2 more
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