Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology
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Beschreibung
The book, based on the INdAM Workshop "Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology" provides a bridge between different communities of mathematicians who utilize splines in their work.
Splines are mathematical objects which allow researchers in geometric modeling and approximation theory to tackle a wide variety of questions. Splines are interesting for both applied mathematicians, and also for those working in purely theoretical mathematical settings. This book contains contributions by researchers from different mathematical communities: on the applied side, those working in numerical analysis and approximation theory, and on the theoretical side, those working in GKM theory, equivariant cohomology and homological algebra.
The book, based on the INdAM Workshop "Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology" provides a bridge between different communities of mathematicians who utilize splines in their work.
Splines are mathematical objects which allow researchers in geometric modeling and approximation theory to tackle a wide variety of questions. Splines are interesting for both applied mathematicians, and also for those working in purely theoretical mathematical settings. This book contains contributions by researchers from different mathematical communities: on the applied side, those working in numerical analysis and approximation theory, and on the theoretical side, those working in GKM theory, equivariant cohomology and homological algebra.
Splines are discussed from both applied and theoretical perspectives Two introductory chapters written by experts provide entrée to the field: one pure side and another from applied side A chapter presents open problems in the field
Autor*in
Martina Lanini
Themen in »Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology«
multivariate splines GKM Theory diagram chasing equivariant cohomology supersmoothness homology Bernstein-Bézier techniques polyhedral subdivision