Multivariate polynomials are a main tool in approximation. The book begins with an introduction to the general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book gives the first comprehensive introduction to the recently developped theory of generalized hyperinterpolation. As an application, the book gives a quick introduction to tomography. Several parts of the book are based on rotation...
Multivariate polynomials are a main tool in approximation. The book begins with an introduction to the general theory by presenting the most important...
In November 2001 the Mathematical Research Center at Oberwolfach, Germany, hosted the third Conference on Mathematical Models and Numerical Simulation in Electronic Industry. It brought together researchers in mathematics, electrical engineering and scientists working in industry.
The contributions to this volume try to bridge the gap between basic and applied mathematics, research in electrical engineering and the needs of industry.
In November 2001 the Mathematical Research Center at Oberwolfach, Germany, hosted the third Conference on Mathematical Models and Numerical Simulat...
This volume presents the main results of the 4th International Conference on Multivariate Approximation, which was held at Witten-Bommerholz, September 24-29, 2000. Nineteen selected, peer-reviewed contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. Features and Topics: interpolation and approximation on compact sets, kergin interpolation error asymptotics radial basis functions energy minimizing configurations on the...
This volume presents the main results of the 4th International Conference on Multivariate Approximation, which was held at Witten-Bommerholz, Septe...
This book contains refereed papers which were presented at the Second International Dortmund Meeting on Approximation Theory (IDoMAT a ~98) at Haus Bommerholz, the conference center of Dortmund University, during the week of February 23a "27, 1998. At this conference 50 researchers and specialists from Bulgaria, China, France, Great Britain, Hungary, Israel, Italy, Romania, South Africa and Germany participated and described new developments in the fields of univariate and multivariate approximation theory. The papers cover topics such as radial basis functions, bivariate spline...
This book contains refereed papers which were presented at the Second International Dortmund Meeting on Approximation Theory (IDoMAT a ~98) at Haus...
Along with the dramatic increase in computer power, the application of PDE-based control theory and the corresponding numerical algorithms to industrial problems has become increasingly important. This development is reflected in this volume. The mathematical framework contains modelling and analysis of such systems as well as the numerical analysis and implementation.
Along with the dramatic increase in computer power, the application of PDE-based control theory and the corresponding numerical algorithms to industri...
Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine...
Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been t...
These Proceedings include 42 of the 49 invited conference papers, three papers sub- mitted subsequently, and a report devoted to new and unsolved problems based on two special problem sessions and as augmented by later communications from the participants. In addition, there are four short accounts that emphasize the personality of the scholars to whom the proceedings are dedicated. Due to the large number of contributors, the length of the papers had to be restricted. This volume is again devoted to recent significant results obtained in approximation theory, harmonic analysis, functional...
These Proceedings include 42 of the 49 invited conference papers, three papers sub- mitted subsequently, and a report devoted to new and unsolved prob...
This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems – MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories:
system-theoretic methods, such as balanced truncation,...
This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-d...
