Program of the conference
Programming of differential equations with singularitiens of the type in using the extension to power series
Programming of the generalized nonlinear paraxial equation for the formation of solitons with Mathematica.
Programs and Algorithms of Numerical Mathematics 13 in honor of Ivo Babuška’s 80th birthday
Progress in developing Poisson-Boltzmann equation solvers
This review outlines the recent progress made in developing more accurate and efficient solutions to model electrostatics in systems comprised of bio-macromolecules and nanoobjects, the last one referring to objects that do not have biological function themselves but nowadays are frequently used in biophysical and medical approaches in conjunction with bio-macromolecules. The problem of modeling macromolecular electrostatics is reviewed from two different angles: as a mathematical task provided...
Projection iterative schemes for general variational inequalities.
Projection Method for Solving a Singular System of Linear Equations and its Applications.
Projection method with level control in convex minimization
We study a projection method with level control for nonsmoooth convex minimization problems. We introduce a changeable level parameter to level control. The level estimates the minimal value of the objective function and is updated in each iteration. We analyse the convergence and estimate the efficiency of this method.
Projection method with residual selection for linear feasibility problems
We propose a new projection method for linear feasibility problems. The method is based on the so called residual selection model. We present numerical results for some test problems.
Projection Methods and Singular Two Point Boundary Value Problems.
Projection methods in the approximate solution of the eigenvalue problem in a Hilbert space
Projections in uniform polynomial approximations
Projective algorithms for solving complementarity problems.
Projektionsverfahren für Randwertaufgaben mit nichtlinearen Randbedingungen.
Projektive Newton-Verfahren bei elliptischen Randwertaufgaben.
Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben.
Prolongement des solutions analytiques réelles d'équations aux dérivées partielles à coefficients constants
Propagation of chaos for the 2D viscous vortex model
We consider a stochastic system of particles, usually called vortices in that setting, approximating the 2D Navier-Stokes equation written in vorticity. Assuming that the initial distribution of the position and circulation of the vortices has finite (partial) entropy and a finite moment of positive order, we show that the empirical measure of the particle system converges in law to the unique (under suitable a priori estimates) solution of the 2D Navier-Stokes equation. We actually prove a slightly...
Propagation of errors in dynamic iterative schemes
We consider iterative schemes applied to systems of linear ordinary differential equations and investigate their convergence in terms of magnitudes of the coefficients given in the systems. We address the question of whether the reordering of equations in a given system improves the convergence of an iterative scheme.
Propagation of Gevrey regularity over long times for the fully discrete Lie Trotter splitting scheme applied to the linear Schrödinger equation
In this paper, we study the linear Schrödinger equation over the d-dimensional torus, with small values of the perturbing potential. We consider numerical approximations of the associated solutions obtained by a symplectic splitting method (to discretize the time variable) in combination with the Fast Fourier Transform algorithm (to discretize the space variable). In this fully discrete setting, we prove that the regularity of the initial datum is preserved over long times, i.e. times that are...