A numerical scheme for the early steps of nucleation-aggregation models
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-016-1026-0
Abstract: In the formation of large clusters out of small particles, the initializing step is called the nucleation, and consists in the spontaneous reaction of agents which aggregate into small and stable polymers called nuclei. After… read more here.
Keywords: scheme early; nucleation; numerical scheme; nucleation aggregation ... See more keywords
A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-019-09704-x
Abstract: We construct a numerical scheme for a model of two-phase flows. The keystone is the treatment of nonconservative terms using stationary contact discontinuities. The nonconservative terms are absorbed into left-hand and right-hand states of the… read more here.
Keywords: scheme model; phase; nonconservative terms; numerical scheme ... See more keywords
A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.06.013
Abstract: Abstract We propose a high-order numerical scheme for nonlinear time fractional reaction-diffusion equations with initial singularity, where L2- 1 σ scheme on graded mesh is used to approximate Caputo fractional derivative and Legendre spectral method… read more here.
Keywords: order numerical; scheme; nonlinear time; numerical scheme ... See more keywords
On a general numerical scheme for the fractional plastic flow rule
Sign Up to like & getrecommendations! Published in 2018 at "Mechanics of Materials"
DOI: 10.1016/j.mechmat.2017.02.005
Abstract: Abstract This paper presents a general numerical scheme for the fractional plastic flow rule, dedicated to a wide class of materials manifesting the non-normality of plastic flow and induced plastic anisotropy. To determine the vector… read more here.
Keywords: plastic; scheme fractional; numerical scheme; plastic flow ... See more keywords
An efficient numerical scheme for the study of equal width equation
Sign Up to like & getrecommendations! Published in 2018 at "Results in physics"
DOI: 10.1016/j.rinp.2018.04.060
Abstract: Abstract In this work a new numerical scheme is proposed in which Haar wavelet method is coupled with finite difference scheme for the solution of a nonlinear partial differential equation. The scheme transforms the partial… read more here.
Keywords: width equation; scheme; numerical scheme; equation ... See more keywords
On the convergence of carathéodory numerical scheme for Mckean-Vlasov equations
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1845206
Abstract: Abstract We study the strong convergence of the Carathéodory numerical scheme for a class of nonlinear McKean-Vlasov stochastic differential equations (MVSDE). We prove, under Lipschitz assumptions, the convergence of the approximate solutions to the unique… read more here.
Keywords: carath odory; numerical scheme; odory numerical; mckean vlasov ... See more keywords
A numerical scheme to solve boundary value problems involving singular perturbation
Sign Up to like & getrecommendations! Published in 2018 at "European Journal of Computational Mechanics"
DOI: 10.1080/17797179.2018.1479552
Abstract: ABSTRACT In this study, a numerical method is presented in order to approximately solve singularly perturbed second-order differential equations given with boundary conditions. The method uses the set of monomials whose degrees do not exceed… read more here.
Keywords: approximate solution; numerical scheme; solution; scheme solve ... See more keywords
Improved numerical scheme for the generalized Kuramoto model
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/accce4
Abstract: We present an improved and more accurate numerical scheme for a generalization of the Kuramoto model of coupled phase oscillators to the three-dimensional space. The present numerical scheme relies crucially on our observation that the… read more here.
Keywords: kuramoto; kuramoto model; numerical scheme; scheme ... See more keywords
A Stabilized Numerical Scheme to Simulate Synergistic Effect of TID and TDR in Semiconductor Devices
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Journal on Multiscale and Multiphysics Computational Techniques"
DOI: 10.1109/jmmct.2024.3469280
Abstract: The synergistic effects between total ionizing dose (TID) and transient dose rate (TDR) effects are explored. To implement the analysis, a stable 3D parallel numerical scheme is specially developed. Using the control volume finite element… read more here.
Keywords: tid tdr; stabilized numerical; tdr; numerical scheme ... See more keywords
A Unified Numerical Scheme for Coupled Multiphysics Model
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2020.3041870
Abstract: For oil and gas exploration, seismic wave propagation in coupled acoustic, elastic, poroelastic, and even anisotropic media is a valuable aspect. However, it is a challenging task to deal with the interfaces of the coupled… read more here.
Keywords: coupled acoustic; coupled model; scheme; model ... See more keywords
Erratum: A Numerical Scheme for Anisotropic Reactive Nonlinear Viscoelasticity.
Sign Up to like & getrecommendations! Published in 2024 at "Journal of biomechanical engineering"
DOI: 10.1115/1.4065342
Abstract: This erratum corrects a mistake in a sub-component of the numerical algorithm proposed in our recent study for modeling anisotropic reactive nonlinear viscoelasticity (doi:10.1115/1.4054983), for the special case where multiple weak bond families may be… read more here.
Keywords: nonlinear viscoelasticity; anisotropic reactive; erratum numerical; numerical scheme ... See more keywords