Author: Eberhard SchockPublisher:
ISBN:
Category : Computer science
Languages : en
Pages : 356
Book Description
Beiträge zur Angewandten Analysis und Informatik
Author: Eberhard SchockPublisher:
ISBN:
Category : Computer science
Languages : en
Pages : 356
Book Description
Regularization of Inverse Problems
Author: Heinz Werner EnglPublisher: Springer Science & Business Media
ISBN: 9780792361404
Category : Mathematics
Languages : en
Pages : 340
Book Description
This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.
An Introduction to Gröbner Bases
Author: Ralf FröbergPublisher: John Wiley & Sons
ISBN: 9780471974420
Category : Mathematics
Languages : en
Pages : 198
Book Description
Grobner-Basen werden von Mathematikern und Informatikern zunehmend fur eine breite Palette von Anwendungen genutzt, in denen die algorithmische algebraische Geometrie eine Rolle spielt. Hier werden Grobner-Basen von einem konstruktiven, wenig abstrakten Standpunkt aus behandelt, wobei nur geringe Vorkenntnisse in linearer Algebra und komplexen Zahlen vorausgesetzt werden; zahlreiche Beispiele helfen bei der Durchdringung des Stoffes. Mit einer Ubersicht uber aktuell erhaltliche relevante Softwarepakete.
Complexity and Information
Author: J. F. TraubPublisher: Cambridge University Press
ISBN: 9780521485067
Category : Computers
Languages : en
Pages : 152
Book Description
The twin themes of computational complexity and information pervade this 1998 book. It starts with an introduction to the computational complexity of continuous mathematical models, that is, information-based complexity. This is then used to illustrate a variety of topics, including breaking the curse of dimensionality, complexity of path integration, solvability of ill-posed problems, the value of information in computation, assigning values to mathematical hypotheses, and new, improved methods for mathematical finance. The style is informal, and the goals are exposition, insight and motivation. A comprehensive bibliography is provided, to which readers are referred for precise statements of results and their proofs. As the first introductory book on the subject it will be invaluable as a guide to the area for the many students and researchers whose disciplines, ranging from physics to finance, are influenced by the computational complexity of continuous problems.
Average-Case Analysis of Numerical Problems
Author: Klaus RitterPublisher: Springer Science & Business Media
ISBN: 9783540674498
Category : Mathematics
Languages : en
Pages : 268
Book Description
The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided.
Wavelet Analysis
Author: Howard L. ResnikoffPublisher: Springer Science & Business Media
ISBN: 146120593X
Category : Mathematics
Languages : en
Pages : 446
Book Description
This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.
Surveys on Solution Methods for Inverse Problems
Author: David ColtonPublisher: Springer Science & Business Media
ISBN: 3709162963
Category : Mathematics
Languages : en
Pages : 279
Book Description
Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.
Gröbner Bases and Applications
Author: Bruno BuchbergerPublisher: Cambridge University Press
ISBN: 9780521632980
Category : Mathematics
Languages : en
Pages : 566
Book Description
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Finite Element Methods
Author: Michel KrizekPublisher: Routledge
ISBN: 1351448609
Category : Mathematics
Languages : en
Pages : 370
Book Description
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Author: