Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations

Wolfgang Dahmen; Charles A. Micchelli

doi:10.1002/mana.3211480107

Mathematische Nachrichten

Paper

03 May 2012

Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations

View publication

Abstract

In this paper we discuss the relationship between syzygies, the dimension of spline spaces and the solutions of systems of differential equations. Several applications of our results are given. Copyright © 1990 WILEY‐VCH Verlag GmbH & Co. KGaA

Paper

On the optimal approximation rates for criss-cross finite element spaces

Wolfgang Dahmen, Charles A. Micchelli

J. Comput. Appl. Math.

Paper

On limits of multivariate B-splines

Wolfgang Dahmen, Charles A. Micchelli

Journal d'Analyse Mathématique

Paper

On vector subdivision

Charles A. Micchelli, Thomas Sauer

Mathematische Zeitschrift

Paper

The number of solutions to linear diophantine equations and multivariate splines

Wolfgang Dahmen, Charles A. Micchelli

Trans. Am. Math. Soc.

View all publications

Abstract

Related

On the optimal approximation rates for criss-cross finite element spaces

On limits of multivariate B-splines

On vector subdivision

The number of solutions to linear diophantine equations and multivariate splines