The simulation by using bivariate splines for solving two dimensional non-classical diffusion problem
Sign Up to like & getrecommendations! Published in 2018 at "Cluster Computing"
DOI: 10.1007/s10586-017-1636-3
Abstract: In this paper, a high order method using bivariate spline finite elements on domains defined by NURBS is proposed for solving two dimensional non-classical diffusion problem. Bivariate spline proper subspace of $$S_4^{2,3} (\Delta _{mn}^{(2)} )$$S42,3(Δmn(2))… read more here.
Keywords: dimensional non; solving two; two dimensional; non classical ... See more keywords
Solving two generalized nonlinear matrix equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-020-01448-y
Abstract: In this paper, we consider the numerical solutions of two generalized nonlinear matrix equations. Newton’s method is applied to compute one of the generalized nonlinear matrix equations and a generalized Stein equation is obtained, then… read more here.
Keywords: nonlinear matrix; solving two; generalized nonlinear; matrix equations ... See more keywords
Solving two-dimensional non-relativistic electronic and muonic atoms governed by Chern-Simons potential
Sign Up to like & getrecommendations! Published in 2020 at "Physica E: Low-dimensional Systems and Nanostructures"
DOI: 10.1016/j.physe.2020.114521
Abstract: Bidimensional muonic and electronic atoms, with nuclei composed of a proton, deuteron, and triton, and governed by Chern-Simons potential, are numerically solved. Their eigenvalues and eigenfunctions are determined with a slightly modified Numerov method. Results… read more here.
Keywords: chern simons; simons potential; atoms governed; solving two ... See more keywords
Solving the two-dimensional Fokker-Planck equation for strongly correlated neurons.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.012412
Abstract: Pairs of neurons in brain networks often share much of the input they receive from other neurons. Due to essential nonlinearities of the neuronal dynamics, the consequences for the correlation of the output spike trains… read more here.
Keywords: planck equation; fokker planck; dimensional fokker; solving two ... See more keywords