Results 31 to 40 of about 818 (79)

Unconditional stability of semi-implicit discretizations of singular flows

, 2017
A popular and efficient discretization of evolutions involving the singular $p$-Laplace operator is based on a factorization of the differential operator into a linear part which is treated implicitly and a regularized singular factor which is treated ...
Bartels, Sören, Diening, Lars, Nochetto, Ricardo H.   +2 more
core   +1 more source

A POD-based reduced-order FD extrapolating algorithm for traffic flow

, 2014
A traffic flow Lighthill, Whitham, and Richards (LWR) model is studied by means of a proper orthogonal decomposition (POD) technique. A POD-based reduced-order finite difference (FD) extrapolating algorithm (FDEA) with lower dimension and fully second ...
Zhendong Luo, Di Xie, Fei Teng
semanticscholar   +1 more source

The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-differential Equation with a Weakly Singular Kernel

, 2013
The z-transform is introduced to analyze a full discretization method for a partial integro-differential equation (PIDE) with a weakly singular kernel.
Jie Tang, Da Xu
semanticscholar   +1 more source

Operator splitting for the Benjamin-Ono equation

, 2015
In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting.Comment: 18 ...
Dutta, R., Holden, H., Koley, U., Risebro, N. H.   +3 more
core  

A discrete scheme for regularized anisotropic surface diffusion: a 6th order geometric evolution equation

, 2005
We study anisotropic surface diffusion of curves with a small corner energy regularization. The regularization allows the use of nonconvex free energy densities and turns the evolution law into a 6th order geometric equation.
F. Haußer, A. Voigt
semanticscholar   +1 more source

A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]

BMC Res Notes, 2023
Ejere AH, Dinka TG, Woldaregay MM, Duressa GF.   +3 more
europepmc   +1 more source

Optimal Order Convergence Implies Numerical Smoothness

, 2013
It is natural to expect the following loosely stated approximation principle to hold: a numerical approximation solution should be in some sense as smooth as its target exact solution in order to have optimal convergence.
Chou, So-Hsiang
core  

A finite difference method for quasi-linear and nonlinear differential functional parabolic equations with Dirichlet's condition

, 2008
Classical solutions of nonlinear second-order partial differential functional equations of parabolic type with Neumann’s condition are approximated in the paper by solutions of associated explicit difference functional equations.
L. Sapa
semanticscholar   +1 more source

Accurate numerical scheme for singularly perturbed parabolic delay differential equation. [PDF]

BMC Res Notes, 2021
Woldaregay MM, Duressa GF.
europepmc   +1 more source

Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations. [PDF]

BMC Res Notes, 2021
Kabeto MJ, Duressa GF.
europepmc   +1 more source