Time–space white noise eliminates global solutions in reaction–diffusion equations

JF Bonder, P Groisman - Physica D: Nonlinear Phenomena, 2009 - Elsevier
Time–space white noise eliminates global solutions in reaction–diffusion equations -
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Numerical solution of the heat equation in unbounded domains using quasi-uniform grids

MN Koleva - International Conference on Large-Scale Scientific …, 2005 - Springer
Numerical solutions of the heat equation on the semi-infinite interval in one dimension and
on a strip in two dimensions with nonlinear boundary conditions are investigated. At the …

[PDF][PDF] Fully discrete adaptive methods for a blow-up problem

C Brandle, P Groisman, JD Rossi - Mathematical Models and Methods in …, 2004 - Citeseer
FULLY DISCRETE ADAPTIVE METHODS FOR A BLOW-UP PROBLEM 1. Introduction We are
interested in developing fully discrete adaptive nu Page 1 FULLY DISCRETE ADAPTIVE …

An adaptive numerical method to handle blow-up in a parabolic system

C Brändle, F Quirós, J D. Rossi - Numerische Mathematik, 2005 - Springer
We study numerical approximations to solutions of a system of two nonlinear diffusion
equations in a bounded interval, coupled at the boundary in a nonlinear way. In certain …

On the blow-up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions

MN Koleva, LG Vulkov - Applied mathematics and computation, 2005 - Elsevier
In this paper we analyse three known finite difference schemes applied to the heat-diffusion
equation with semilinear dynamical boundary conditions. We prove that the numerical blow …

On the computation of blow-up solutions of elliptic equations with semilinear dynamical boundary conditions

MN Koleva - Large-Scale Scientific Computing: 4th International …, 2004 - Springer
In this paper we study numerically blow-up solutions of elliptic equations with nonlinear
dynamical boundary conditions. First, we formulate a result for blow-up, when dynamical …

[PDF][PDF] Blow-up. El problema matemático de explosión para ecuaciones y sistemas de reacción-difusión

A De Pablo, R Ferreira, F Quirós, JL Vázquez - Bol. Soc. Esp. Mat. Apl, 2005 - sema.org.es
El presente artıculo ofrece una panorámica de los fenómenos de explosión o blow-up para
ecuaciones de reacción-difusión. Tras presentar el tema, enunciamos los principales …

[PDF][PDF] Aproximando soluciones que explotan

PGYJD ROSSI - SeMA Journal: Boletín de la Sociedad Española de …, 2003 - mate.dm.uba.ar
REsUмEn. Al aproximar numéricamente ecuaciones en derivadas parciales con
singularidades, un buen método debe reproducir el comportamiento asintótico de las …

[PDF][PDF] Blow-up for discretization of a localized semilinear heat equation

TK Boni, H Nachid, D Nabongo - Annals of the Alexandru Ioan …, 2010 - archive.sciendo.com
BLOW-UP FOR DISCRETIZATION OF A LOCALIZED SEMILINEAR HEAT EQUATION 1.
Introduction We consider the following initial-boundary va Page 1 ANALELE STIINTIFICE ALE …

[PDF][PDF] Méthode numérique et asymptotique pour l'étude de l'extinction de certaines équations aux dérivées partielles de type parabolique avec conditions aux limites …

KCAP N'DRI - 2021 - cea-valopro.inphb.ci
Résumé Dans cette thèse, nous étudions quelques approximations numériques de la
solution des systèmes gouvernés par des équations aux dérivées partielles (EDP) de type …