Zobrazeno 1 - 10
of 20
pro vyhledávání: '"65M12, 65R20"'
Autor:
Hivert, Hélène, Salin, Florian
In this paper, we introduce and analyze a numerical scheme for solving the Cauchy-Dirichlet problem associated with fractional nonlinear diffusion equations. These equations generalize the porous medium equation and the fast diffusion equation by inc
Externí odkaz:
http://arxiv.org/abs/2409.18629
The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this includes a
Externí odkaz:
http://arxiv.org/abs/2103.08930
Publikováno v:
Science China Mathematics, 66 (2023)
The positive definiteness of real quadratic forms with convolution structures plays an important role in stability analysis for time-stepping schemes for nonlocal operators.In this work, we present a novel analysis tool to handle discrete convolution
Externí odkaz:
http://arxiv.org/abs/2011.13383
Publikováno v:
Pure Appl. Analysis 1 (2019) 709-742
We study the stability properties of explicit marching schemes for second-kind Volterra integral equations that arise when solving boundary value problems for the heat equation by means of potential theory. It is well known that explicit finite diffe
Externí odkaz:
http://arxiv.org/abs/1902.08690
We design, analyze and numerically validate a novel discontinuous Galerkin method for solving the coagulation-fragmentation equations. The DG discretization is applied to the conservative form of the model, with flux terms evaluated by Gaussian quadr
Externí odkaz:
http://arxiv.org/abs/1710.00964
Autor:
Melenk, Jens Markus, Rieder, Alexander
Publikováno v:
J. Integral equations and applications 29 (2017), pp. 189-250
We propose a numerical scheme to solve the time dependent linear Schr\"odinger equation. The discretization is carried out by combining a Runge-Kutta time-stepping scheme with a finite element discretization in space. Since the Schr\"odinger equation
Externí odkaz:
http://arxiv.org/abs/1605.07340
Autor:
Kovács, Balázs, Lubich, Christian
Maxwell's equations are considered with transparent boundary conditions, for initial conditions and inhomogeneity having support in a bounded, not necessarily convex three-dimensional domain or in a collection of such domains. The numerical method on
Externí odkaz:
http://arxiv.org/abs/1605.04086
Autor:
Banjai, Lehel, Rieder, Alexander
A rarely exploited advantage of time-domain boundary integral equations compared to their frequency counterparts is that they can be used to treat certain nonlinear problems. In this work we investigate the scattering of acoustic waves by a bounded o
Externí odkaz:
http://arxiv.org/abs/1604.05212
Autor:
Lima, Pedro M., Buckwar, Evelyn
In the present paper we are concerned with a numerical algorithm for the approximation of the two-dimensional neural field equation with delay. We consider three numerical examples that have been analysed before by other authors and are directly conn
Externí odkaz:
http://arxiv.org/abs/1511.00717
Autor:
Lima, Pedro M., Buckwar, Evelyn
We are concerned with the numerical solution of a class integro-differential equations, known as Neural Field Equations, which describe the large-scale dynamics of spatially structured networks of neurons. These equations have many applications in Ne
Externí odkaz:
http://arxiv.org/abs/1508.07484