Results 31 to 40 of about 12,414 (350)
Block Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems
Journal of Nigerian Society of Physical Sciences, 2020 This article constructed and implemented a family of a third derivative trigonometric fitted method of order k+3 whose coefficients are functions of frequency and step size for the integration of systems of first-order stiff and periodic Initial Value ...
Ridwanulahi Abdulganiy +4 more
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Geometric numerical integrators based on the Magnus expansion in bifurcation problems for non-linear elastic solids [PDF]
Fracture and Structural Integrity, 2014 We illustrate a procedure based on the Magnus expansion for studying mechanical problems which lead to non-autonomous systems of linear ODE’s. The effectiveness of the Magnus method is enlighten by the analysis of a bifurcation problem in the framework
A. Castellano +4 more
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Stochastic discrete Hamiltonian variational integrators [PDF]
, 2018 Variational integrators are derived for structure-preserving simulation of stochastic Hamiltonian systems with a certain type of multiplicative noise arising in geometric mechanics.
Tyranowski, T. +3 more
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Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs
Journal of Applied Mathematics, 2012 We use the idea of nonstandard finite difference methods to derive the discrete variational integrators for multisymplectic PDEs. We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and
Cuicui Liao, Xiaohua Ding
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Karbala International Journal of Modern Science, 2019 The main contribution of this work is the development of direct explicit methods of Runge-Kutta (RK) type for solving class of seventh-order ordinary differential equations (ODEs) to improve computational efficiency.
Mohammed S. Mechee, Jawad K. Mshachal
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Discrete Mechanical Interpolation of Keyframes [PDF]
, 2008 Advances in computer hardware and software have made it possible to use physical simulation methods to add unprecedented degrees of realism to computer animations.
Yang, Weiwei
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Operator splitting methods for the Lotka–Volterra equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Geometric integrators are numerical methods for differential equations that preserve geometric properties. In this article we investigate the questions of constructing such methods for the well-known Lotka–Volterra predator-prey system by using the ...
István Faragó +1 more
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Krylov integrators for Hamiltonian systems [PDF]
, 2019 We consider Arnoldi-like processes to obtain symplectic subspaces for Hamiltonian systems. Large dimensional systems are locally approximated by ones living in low dimensional subspaces, and we especially consider Krylov subspaces and some of their ...
Koskela, Antti, Eirola, Timo
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A New Family of Phase-Fitted and Amplification-Fitted Runge-Kutta Type Methods for Oscillators
Journal of Applied Mathematics, 2012 In order to solve initial value problems of differential equations with oscillatory solutions, this paper improves traditional Runge-Kutta (RK) methods by introducing frequency-depending weights in the update.
Zhaoxia Chen +3 more
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Numerical discretization of stochastic oscillators with generalized numerical integrators
, 2021 In this study, we propose a numerical scheme for stochastic oscillators with additive noise obtained by the method of variation of constants formula using generalized numerical integrators.
Akat, Muzaffer +4 more
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