Necessary conditions for the multiple integral problem and elliptic variational inequalities
New functional spaces and linear nonstationary problems of mathematical physics
Non linear quasi variational inequalities and stochastic impulse control theory
Nonlinear noncoercive boundary value problems
Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions
Nonlinear surface waves under external forcing
Nonlinear systems of parabolic PDE's for phase change problem
Nonoscillation theorems for a class of neutral functional differential equations of arbitrary order
Numerical approximation of a nonlinear Sturm-Liouville problem on an infinite interval
Numerical approximation of density dependent diffusion in age-structured population dynamics
We study a numerical method for the diffusion of an age-structured population in a spatial environment. We extend the method proposed in [2] for linear diffusion problem, to the nonlinear case, where the diffusion coefficients depend on the total population. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. We provide stability and convergence results and we illustrate our approach with some numerical result.
Numerical approximation of the non-linear fourth-order boundary-value problem
We consider functionals of a potential energy corresponding to . We are dealing with with . Various types of the subsoil of the plate are described by various types of the nonlinear term . The aim of the paper is to find a suitable computational algorithm.
Numerical aspects of computation of periodic and quasiperiodic solutions in systems of partial differential equations
Numerical calculations for some types of boundary value problems with unbounded domains
Numerical imperfections near a critical point
Numerical modeling of neutron flux in hexagonal geometry
Numerical modelling of river flow (numerical schemes for one type of nonconservative systems
In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use the finite volume method, our approach is based on the technique described by D. L. George for shallow water equations. The main goal is to construct the scheme, which is well balanced, i.e. maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve nonnegativity of some quantities, which are essentially nonnegative...
Numerical modelling of tube fixing in the heat exchanger of a nuclear power plant
Numerical solution of boundary value problems by means of B-splines