A simple and efficient adaptive time stepping technique for low‐order operator splitting schemes applied to cardiac electrophysiology
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Biomedical Engineering"
DOI: 10.1002/cnm.3670
Abstract: We present a simple, yet efficient adaptive time stepping scheme for cardiac electrophysiology (EP) simulations based on standard operator splitting techniques. The general idea is to exploit the relation between the splitting error and the… read more here.
Keywords: time; operator splitting; adaptive time; time step ... See more keywords
Numerical simulation for time‐fractional nonlinear reaction–diffusion system on a uniform and nonuniform time stepping
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7114
Abstract: In this article, two nonstandard high‐order schemes on a uniform and nonuniform time stepping combined with the multi‐parameter exponential fitting technique (MPEF) have been developed to solve the time‐fractional nonlinear reaction–diffusion system. The first method… read more here.
Keywords: time; time stepping; nonuniform time; uniform nonuniform ... See more keywords
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
Sign Up to like & getrecommendations! Published in 2022 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01264-x
Abstract: This article is concerned with the discretisation of the Stokes equations on time-dependent domains in an Eulerian coordinate framework. Our work can be seen as an extension of a recent paper by Lehrenfeld and Olshanskii… read more here.
Keywords: time; dependent domains; time stepping; equations time ... See more keywords
Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Algorithms"
DOI: 10.1007/s11075-017-0445-3
Abstract: In this paper, a piecewise constant time-stepping discontinuous Galerkin method combined with a piecewise linear finite element method is applied to solve control constrained optimal control problem governed by time fractional diffusion equation. The control… read more here.
Keywords: discontinuous galerkin; control; stepping discontinuous; time ... See more keywords
A staggered procedure for fluid–object interaction with free surfaces, large rotations and driven by adaptive time stepping
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-018-1147-z
Abstract: The coupling between a rigid body under large rotations and incompressible fluids is investigated within the arbitrary Lagrangian–Eulerian framework. We use here a staggered type of coupling with a predictor/corrector approach for the forces applied… read more here.
Keywords: rigid body; time; adaptive time; large rotations ... See more keywords
Fourier analysis of the RELAP5/3D adaptive time-stepping scheme on a natural circulation loop
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2017.11.018
Abstract: Abstract The use of natural convection as a passive heat removal mechanism has been widely explored as a safety system of nuclear power plants. Characteristics like low complexity and economy makes Natural Circulation Loop (NCL)… read more here.
Keywords: natural circulation; stepping scheme; time; adaptive time ... See more keywords
An h-p version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.03.015
Abstract: Abstract We propose and analyze an h-p version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations with vanishing delays. We establish a priori error estimates in the L 2 -… read more here.
Keywords: time; time stepping; version continuous; continuous petrov ... See more keywords
A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.02.007
Abstract: Abstract A family of novel time-stepping methods for the fractional calculus operators is presented with a shifted parameter. The truncation error with second-order accuracy is proved under the framework of the shifted convolution quadrature. To… read more here.
Keywords: time; time stepping; efficient time; methods multi ... See more keywords
A time-stepping method for multibody systems with frictional impacts based on a return map and boundary layer theory
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2021.103683
Abstract: Abstract This work presents a new numerical integration method for determining dynamics of a class of multibody systems involving impact and friction. Specifically, these systems are subject to a set of equality constraints and can… read more here.
Keywords: return; time; time stepping; multibody systems ... See more keywords
Adaptively time stepping the stochastic Landau-Lifshitz-Gilbert equation at nonzero temperature: Implementation and validation in MuMax3
Sign Up to like & getrecommendations! Published in 2017 at "AIP Advances"
DOI: 10.1063/1.5003957
Abstract: Thermal fluctuations play an increasingly important role in micromagnetic research relevant for various biomedical and other technological applications. Until now, it was deemed necessary to use a time stepping algorithm with a fixed time step… read more here.
Keywords: lifshitz gilbert; stochastic landau; landau lifshitz; time ... See more keywords
Exponential Time-Stepping Method for Linear Complementarity Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3183041
Abstract: Linear complementarity system (LCS) consists of an ordinary differential equation (ODE) and a linear complementarity problem (LCP). In this article, we propose an exponential time-stepping method for solving LCS, which uses exponential integrator to discretize… read more here.
Keywords: linear complementarity; exponential time; complementarity; stepping method ... See more keywords