Piecewise linear wavelet collocation, approximation of the boundary manifold, and quadrature.
Piecewise L-Splines.
Piecewise polynomial interpolations in the finite element method
Piecewise Polynomial Spaces and Geometric Continuity of Curves.
Piecewise Polynomial Taylor Methods for Initial Value Problems.
Piecewise-polynomial signal segmentation using convex optimization
A method is presented for segmenting one-dimensional signal whose independent segments are modeled as polynomials, and which is corrupted by additive noise. The method is based on sparse modeling, the main part is formulated as a convex optimization problem and is solved by a proximal splitting algorithm. We perform experiments on simulated and real data and show that the method is capable of reliably finding breakpoints in the signal, but requires careful tuning of the regularization parameters...
PIS for n-coupled nonlinear systems.
Pivoting algorithm in class of ABS methods
Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.
Pivoting Techniques for Symmetrie Gaussian Elimination.
Plane wave discontinuous Galerkin methods: Analysis of the h-version
We are concerned with a finite element approximation for time-harmonic wave propagation governed by the Helmholtz equation. The usually oscillatory behavior of solutions, along with numerical dispersion, render standard finite element methods grossly inefficient already in medium-frequency regimes. As an alternative, methods that incorporate information about the solution in the form of plane waves have been proposed. We focus on a class of Trefftz-type discontinuous Galerkin methods that ...
Plane wave stability of some conservative schemes for the cubic Schrödinger equation
The plane wave stability properties of the conservative schemes of Besse [SIAM J. Numer. Anal.42 (2004) 934–952] and Fei et al. [Appl. Math. Comput.71 (1995) 165–177] for the cubic Schrödinger equation are analysed. Although the two methods possess many of the same conservation properties, we show that their stability behaviour is very different. An energy preserving generalisation of the Fei method with improved stability is presented.
Point Approximation of a Space-Homogeneous Transport Equation.
Point estimation and the convergence of the Ehrlich-Aberth method.
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.
Point ordering with natural distance based on Brownian motion.
Point Sets with Uniformity Properties and Orthogonal Hypercubes.
Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem.
Pointwise Accuracy of a Finite Element Method for Nonlinear Variational Inequalities.
Pointwise convergence of some boundary element methods. Part II
Pointwise error estimate for a noncoercive system of quasi-variational inequalities related to the management of energy production.