Results 41 to 50 of about 1,064 (91)

Implicit method for nonlinear complex diffusion with applications to image denoising [PDF]

, 2017
In this paper we focus on the development and implementation of an implicit finite difference method for solving a complex diffusion differential equation with applications to noise filtering in images.
Oliveira, Marlon, Serranho, Pedro
core  

A model problem for Mean Field Games on networks

, 2014
In [14], Gueant, Lasry and Lions considered the model problem ``What time does meeting start?'' as a prototype for a general class of optimization problems with a continuum of players, called Mean Field Games problems. In this paper we consider a similar
Camilli, Fabio, Carlini, Elisabetta, Marchi, Claudio   +2 more
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On the Two-phase Fractional Stefan Problem

Advanced Nonlinear Studies, 2020
The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix, Endal Jørgen, Vázquez Juan Luis   +2 more
doaj   +1 more source

A moving mesh method with variable relaxation time

, 2006
We propose a moving mesh adaptive approach for solving time-dependent partial differential equations. The motion of spatial grid points is governed by a moving mesh PDE (MMPDE) in which a mesh relaxation time \tau is employed as a regularization ...
Adjerid, Ali Reza Soheili, Ascher, Baines, Bebernes, Budd, Budd, Carlson, Coyle, Friedman, Huang, Huang, Hyman, John M. Stockie, Li, Lipnikov, Petzold, Sanz-Serna, Stockie, Tan, Tang   +20 more
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Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates [PDF]

Open Communications in Nonlinear Mathematical Physics
Invariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the authors,
E. I. Kaptsov, V. A. Dorodnitsyn
doaj   +1 more source

Behavior of different numerical schemes for population genetic drift problems [PDF]

, 2016
In this paper, we focus on numerical methods for the genetic drift problems, which is governed by a degenerated convection-dominated parabolic equation.
Chen, Minxin, Liu, Chun, Xu, Shixin, Yue, Xingye, Zhang, Ran   +4 more
core  

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations

, 2013
The cutoff method, which cuts off the values of a function less than a given number, is studied for the numerical computation of nonnegative solutions of parabolic partial differential equations.
Alexander, Bernis, Bertozzi, Bertozzi, Bertozzi, Brandts, Burman, Cash, Changna Lu, Chorin, Ciarlet, Ciarlet, Constantin, Copetti, Dobson, Draˇgaˇnescu, Elliott, Erik S. Van Vleck, Faragó, Faragó, Faragó, Faragó, Fujii, Greenspan, Grün, Gűnter, Gűnter, Hairer, Huang, Karátson, Karátson, Kuzmin, Křı´žek, Le Potier, Le Potier, Letniowski, Lewis, Li, Lipnikov, Liska, Mlacnik, Morton, Russell, Sharma, Stoyan, Strang, Sun, Temam, Thomée, Wang, Weizhang Huang, Xu, Zhang, Zhornitskaya   +53 more
core   +1 more source

Solving Vertical Transport and Chemistry in Air Pollution Models. [PDF]

, 2000
For the time integration of stiff transport-chemistry problems from air pollution modelling, standard ODE solvers are not feasible due to the large number of species and the 3D nature.
Berkvens, P.J.F., Botchev, M.A., Krol, M.C., Peters, W., Verwer, J.G.   +4 more
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Improving approximate matrix factorizations for implicit time integration in air pollution modelling [PDF]

, 2000
For a long time operator splitting was the only computationally feasible way of implicit time integration in large scale Air Pollution Models. A recently proposed attractive alternative is Rosenbrock schemes combined with Approximate Matrix Factorization
Botchev, M.A., Verwer, J.G.
core   +3 more sources

‘The Equator–Pole grid system’: an overset grid system for the sphere, with an optimal uniformity property

Tellus: Series A, Dynamic Meteorology and Oceanography, 2018
This article proposes a new grid system for the sphere, which consists of three orthogonal and almost uniform grids. The basic one is a latitude-longitude grid covering an annular band around the equator.
Göran Starius
doaj   +1 more source