Multivariate Approximation and Splines:
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1997
|
| Schriftenreihe: | ISNM International Series of Numerical Mathematics
125 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book contains the refereed papers which were presented at the international conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fitting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of multivariate periodic functions are derived in the paper of BABENKO, KOFANov and PICHUGOV. These inequalities are applied to the approximation of classes of multivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for nonlinear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem |
| Beschreibung: | 1 Online-Ressource (X, 326 p) |
| ISBN: | 9783034888714 9783034898089 |
| DOI: | 10.1007/978-3-0348-8871-4 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
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| isbn | 9783034888714 9783034898089 |
| language | English |
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| spelling | Nürnberger, Günther 1948- (DE-588)1012100243 edt Multivariate Approximation and Splines edited by Günther Nürnberger, Jochen W. Schmidt, Guido Walz Basel Birkhäuser Basel 1997 1 Online-Ressource (X, 326 p) txt rdacontent c rdamedia cr rdacarrier ISNM International Series of Numerical Mathematics 125 This book contains the refereed papers which were presented at the international conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fitting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of multivariate periodic functions are derived in the paper of BABENKO, KOFANov and PICHUGOV. These inequalities are applied to the approximation of classes of multivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for nonlinear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem Mathematics Mathematics, general Mathematik Spline-Funktion (DE-588)4056332-7 gnd rswk-swf Spline (DE-588)4182391-6 gnd rswk-swf Multivariate Approximation (DE-588)4314108-0 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1996 Mannheim gnd-content 2\p (DE-588)1071861417 Konferenzschrift gnd-content Multivariate Approximation (DE-588)4314108-0 s Spline (DE-588)4182391-6 s 3\p DE-604 Spline-Funktion (DE-588)4056332-7 s 4\p DE-604 Schmidt, Jochen W. 1931-2000 (DE-588)1112480226 edt Walz, Guido (DE-588)124600107 edt ISNM International Series of Numerical Mathematics 125 (DE-604)BV022447306 125 https://doi.org/10.1007/978-3-0348-8871-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Multivariate Approximation and Splines ISNM International Series of Numerical Mathematics Mathematics Mathematics, general Mathematik Spline-Funktion (DE-588)4056332-7 gnd Spline (DE-588)4182391-6 gnd Multivariate Approximation (DE-588)4314108-0 gnd |
| subject_GND | (DE-588)4056332-7 (DE-588)4182391-6 (DE-588)4314108-0 (DE-588)1071861417 |
| title | Multivariate Approximation and Splines |
| title_auth | Multivariate Approximation and Splines |
| title_exact_search | Multivariate Approximation and Splines |
| title_full | Multivariate Approximation and Splines edited by Günther Nürnberger, Jochen W. Schmidt, Guido Walz |
| title_fullStr | Multivariate Approximation and Splines edited by Günther Nürnberger, Jochen W. Schmidt, Guido Walz |
| title_full_unstemmed | Multivariate Approximation and Splines edited by Günther Nürnberger, Jochen W. Schmidt, Guido Walz |
| title_short | Multivariate Approximation and Splines |
| title_sort | multivariate approximation and splines |
| topic | Mathematics Mathematics, general Mathematik Spline-Funktion (DE-588)4056332-7 gnd Spline (DE-588)4182391-6 gnd Multivariate Approximation (DE-588)4314108-0 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Spline-Funktion Spline Multivariate Approximation Konferenzschrift 1996 Mannheim Konferenzschrift |
| url | https://doi.org/10.1007/978-3-0348-8871-4 |
| volume_link | (DE-604)BV022447306 |
| work_keys_str_mv | AT nurnbergergunther multivariateapproximationandsplines AT schmidtjochenw multivariateapproximationandsplines AT walzguido multivariateapproximationandsplines |