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Local Linearization-Runge-Kutta methods: a class of A-stable explicit integrators for dynamical systems
(Pergamon-Elsevier Science Ltd, 2013-02)
A new approach for the construction of high order A-stable explicit integrators for ordinary differential equations (ODEs) is theoretically studied. Basically, the integrators are obtained by splitting, at each time step, ...
Convergence rate of strong local linearization schemes for stochastic differential equations with additive noise
(2011-09-23)
There is a variety of strong Local Linearization (LL) schemes for the numerical integration of stochastic differential equations with additive noise, which differ with respect to the algorithm that is used in the numerical ...
Novel time-domain step-by-step scheme for integrated optical applications
(Ieee-inst Electrical Electronics Engineers IncNew YorkEUA, 2001)
Locally Linearized methods for the simulation of stochastic oscillators driven by random forces
(Springer, 2017-03)
In this work, the performance of Locally Linearized integrators for the numerical simulation of stochastic oscillators driven by random forces is studied. This includes the reproduction of a number of dynamical properties ...
An implicit/explicit integration scheme to increase computability of non-linear material and contact/friction problems
(Elsevier Science Sa, 2008-12)
An implicit/explicit integration scheme for non-linear constitutive models is presented. It aims at providing additional computability to those solid mechanics problems were robustness is an important issue, i.e. material ...
A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition
(Wiley, 2020)
In this article, we present a novel nodal integration scheme for meshfree Galerkin methods, which draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis functions for the ...
Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes
(American Physical Society, 2014-08)
We introduce a numerical method to integrate the stochastic Landau-Lifshitz-Gilbert equation in spherical coordinates for generic discretization schemes. This method conserves the magnetization modulus and ensures the ...
Block time step storage scheme forastrophysical n-body simulations
(IOP Publishing, 2015)
Astrophysical research in recent decades has made significant progress thanks to the availability of various N-body simulation techniques. With the rapid development of high-performance computing technologies, modern ...
Numerical study of the atmospheric flow over a coastal cliff
(WILEY-BLACKWELL, 2011)
This work presents a numerical method suitable for the study of the development of internal boundary layers (IBL) and their characteristics for flows over various types of coastal cliffs. The IBL is an important meteorological ...