Nonexpansive matrices with applications to solutions of linear systems by fixed point iterations.
Nonhomogeneous boundary conditions and curved triangular finite elements
Approximation of nonhomogeneous boundary conditions of Dirichlet and Neumann types is suggested in solving boundary value problems of elliptic equations by the finite element method. Curved triangular elements are considered. In the first part of the paper the convergence of the finite element method is analyzed in the case of nonhomogeneous Dirichlet problem for elliptic equations of order , in the second part of the paper in the case of nonhomogeneous mixed boundary value problem for second order...
Nonlinear approximation in control problems
Nonlinear boundary value problems with application to semiconductor device equations
The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated...
Nonlinear conjugate gradient methods
Modifications of nonlinear conjugate gradient method are described and tested.
Nonlinear conjugate gradient methods with sufficient descent condition for large-scale unconstrained optimization.
Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions
Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions.
Nonlinear elliptic problems with the method of finite volumes.
Nonlinear filtering for observations on a random vector field along a random path. Application to atmospheric turbulent velocities
To filter perturbed local measurements on a random medium, a dynamic model jointly with an observation transfer equation are needed. Some media given by PDE could have a local probabilistic representation by a Lagrangian stochastic process with mean-field interactions. In this case, we define the acquisition process of locally homogeneous medium along a random path by a Lagrangian Markov process conditioned to be in a domain following the path and conditioned to the observations. The nonlinear...
Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns.
Nonlinear Galerkin Methods: The Finite Elements Case.
Nonlinear Interpolation of Functions of Very Many Variables.
Nonlinear iterative methods and parallel computation
Nonlinear mappings in metric discrete limit spaces and their topological properties.
Nonlinear noncoercive boundary value problems
Nonlinear optimization using the generalized reduced gradient method
Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions
Nonlinear reduction for solving deficient polynomial systems by continuation methods.
Nonlinear Rescaling Method and Self-concordant Functions
Nonlinear rescaling is a tool for solving large-scale nonlinear programming problems. The primal-dual nonlinear rescaling method was used to solve two quadratic programming problems with quadratic constraints. Based on the performance of primal-dual nonlinear rescaling method on testing problems, the conclusions about setting up the parameters are made. Next, the connection between nonlinear rescaling methods and self-concordant functions is discussed and modified logarithmic barrier function is...