Parallel methods in image recovery by projections onto convex sets
Parallel synchronous algorithm for nonlinear fixed point problems.
Partial regularization of the sum of two maximal monotone operators
Partition of unity method for Helmholtz equation: -convergence for plane-wave and wave-band local bases
In this paper we study the -version of the Partition of Unity Method for the Helmholtz equation. The method is obtained by employing the standard bilinear finite element basis on a mesh of quadrilaterals discretizing the domain as the Partition of Unity used to paste together local bases of special wave-functions employed at the mesh vertices. The main topic of the paper is the comparison of the performance of the method for two choices of local basis functions, namely a) plane-waves, and b) wave-bands....
Perturbation series and defect correction for the refinement of approximate eigenelements of linear integral operators
Perturbed Newton-like methods and nondifferentiable operator equations on Banach spaces with a convergence structure.
Perturbed three-step approximation process with errors for a generalized implicit nonlinear quasivariational inclusions.
Point fixe d'une application non contractante.
We study a multilinear fixed-point equation in a closed ball of a Banach space where the application is 1-Lipschitzian: existence, uniqueness, approximations, regularity.
Pointwise Rational Approximation and Iterative Methods for Ill-Posed Problems.
Projection iterative schemes for general variational inequalities.
Projection methods in the approximate solution of the eigenvalue problem in a Hilbert space
Projektionsverfahren für Randwertaufgaben mit nichtlinearen Randbedingungen.
Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben.
Psi-series of quadratic vector fields on the plane.
Psi-series (i.e., logarithmic series) for the solutions of quadratic vector fields on the plane are considered. Its existence and convergence is studied, and an algorithm for the location of logarithmic singularities is developed. Moreover, the relationship between psi-series and non-integrability is stressed and in particular it is proved that quadratic systems with psi-series that are not Laurent series do not have an algebraic first integral. Besides, a criterion about non-existence of an analytic...