Results 31 to 40 of about 13,068 (272)
Advances in Difference Equations, 2017 This paper is concerned with the dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity results of Runge-Kutta methods for the FIDEs are given.
Qing Liao, Liping Wen
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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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The symbolic problems associated with Runge-Kutta methods and their solving in Sage
Discrete and Continuous Models and Applied Computational Science, 2019 Runge-Kutta schemes play a very important role in solving ordinary differential equations numerically. At first we want to present the Sage routine for calculation of Butcher matrix, we call it an rk package.
Yu Ying
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A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model
Discrete Dynamics in Nature and Society, 2020 In this paper, the fractional Euler method has been studied, and the derivation of the novel 2-stage fractional Runge–Kutta (FRK) method has been presented.
M. Arshad, D. Baleanu, M. Riaz, M. Abbas
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A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
The Astrophysical Journal, 2022 In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated ...
Naying Zhou +3 more
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Krylov SSP Integrating Factor Runge–Kutta WENO Methods
Mathematics, 2021 Weighted essentially non-oscillatory (WENO) methods are especially efficient for numerically solving nonlinear hyperbolic equations. In order to achieve strong stability and large time-steps, strong stability preserving (SSP) integrating factor (IF ...
Shanqin Chen
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Parallelization of Runge–Kutta Methods for Hardware Implementation
Computation, 2022 Parallel numerical integration is a valuable tool used in many applications requiring high-performance numerical solvers, which is of great interest nowadays due to the increasing difficulty and complexity in differential problems.
Petr Fedoseev +4 more
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Strong Stability of Explicit Runge-Kutta Time Discretizations [PDF]
SIAM Journal on Numerical Analysis, 2018 Motivated by studies on fully discrete numerical schemes for linear hyperbolic conservation laws, we present a framework on analyzing the strong stability of explicit Runge--Kutta (RK) time discret...
Zheng Sun, Chi-Wang Shu
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A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations
Applied Mathematics Letters, 2020 The paper is focused on analyzing the linear stability properties of stochastic Runge–Kutta (SRK) methods interpreted as a stochastic perturbation of the corresponding deterministic Runge–Kutta methods.
V. Citro +2 more
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Advances in Mechanical Engineering, 2018 Magnetic rotor-bearing system has drawn great attention because of its several advantages compared to existent rotor-bearing system, and explicit Runge–Kutta method has achieved good results in solving dynamic equation.
Xi Fang +6 more
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