By M. A. Ablowitz,P. A. Clarkson
By M. A. Ablowitz,P. A. Clarkson
By Eleanor Chu
This available, self-contained e-book presents significant interpretations of crucial formulation within the context of purposes, development an exceptional starting place for the appliance of Fourier research within the many diverging and continually evolving components in electronic sign processing businesses. It comprehensively covers the DFT of windowed sequences, numerous discrete convolution algorithms and their functions in electronic filtering and filters, and lots of FFT algorithms unified below the frameworks of mixed-radix FFTs and top issue FFTs. a lot of graphical illustrations and labored examples aid clarify the innovations and relationships from the very starting of the textual content.
Requiring no previous wisdom of Fourier research or sign processing, this publication provides the root for utilizing FFT algorithms to compute the DFT in various program areas.
By J. Warga
By Emmanuele DiBenedetto,Ugo Pietro Gianazza,Vincenzo Vespri
Degenerate and singular parabolic equations were the topic of intensive study for the final 25 years. regardless of very important achievements, the difficulty of the Harnack inequality for non-negative ideas to those equations, either one of p-Laplacian and porous medium type, whereas raised via a number of authors, has remained primarily open. lately huge growth has been made in this factor, to the purpose that, aside from the singular sub-critical diversity, either for the p-laplacian and the porous medium equations, the idea within reason complete.
It appeared for that reason well timed to track a complete review, that may spotlight the most concerns and in addition the issues that also stay open. The authors provide a entire remedy of the Harnack inequality for non-negative suggestions to p-laplace and porous medium sort equations, either within the degenerate (p>2 or m>1) and within the singular diversity (1<p<2 or 0<m<1), ranging from the idea of resolution and construction all of the worthy technical tools.
The publication is self-contained. construction on an analogous monograph via the 1st writer, the authors of the current book focus totally at the Harnack estimates and on their functions: certainly a few recognized regularity effects are given a brand new facts, according to the Harnack inequality. it truly is addressed to all execs lively within the box, and likewise to complex graduate scholars, attracted to realizing the most problems with this attention-grabbing examine field.
By Yves Meyer,D. H. Salinger
By Gui-Qiang Chen,Michael Grinfeld,R. J. Knops
This booklet examines the interesting interface among differential geometry and continuum mechanics, now acknowledged as being of accelerating technological importance. issues mentioned comprise isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, using manifolds within the description of microstructure in continuum mechanics, experimental size of microstructure, defects, dislocations, floor energies, and nematic liquid crystals. Compensated compactness in partial differential equations is usually treated.
The quantity is meant for experts and non-specialists in natural and utilized geometry, continuum mechanics, theoretical physics, fabrics and engineering sciences, and partial differential equations. it's going to even be of curiosity to postdoctoral scientists and complex postgraduate learn students.
These lawsuits contain revised written types of the vast majority of papers offered by means of best specialists on the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers were peer reviewed.
By Ulrich Trottenberg,Cornelius W. Oosterlee,Anton Schuller
Multigrid equipment are priceless to researchers in medical disciplines together with physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. also they are changing into more and more very important in economics and monetary mathematics.
Readers are awarded with a useful precis overlaying 25 years of functional event got through the multigrid study crew on the Germany nationwide learn heart for info expertise. The booklet provides either useful and theoretical issues of view.
* Covers the complete box of multigrid tools from its parts as much as the main complicated applications
* sort is basically basic yet mathematically rigorous
* No different publication is so entire and written for either practitioners and students
By G. A. Edgar,Louis Sucheston
By Bela Bollobás,Oliver Riordan
By Michael Karbach
Sowohl im Studium als auch in der täglichen Arbeit benötigt der Physiker eine Vielzahl mathematischer Methoden, die über die Methoden aus den Grundvorlesungen der research und linearen Algebra hinausgehen. Das vorliegende Buch baut auf diesen Vorlesungen auf und stellt die grundlegenden und jeweils einführenden Themen aus der Funktionentheorie, der Funktionalanalysis, der Theorie orthogonaler Polynome und Funktionen, der Fouriertheorie, der Tensorrechnung und der Distributionen dar. Bei der sehr kompakten Darstellung des Stoffes wurde darauf geachtet eine einheitliche und gebräuchliche Notation, über die verschiedenen Gebiete der Mathematik und Physik hinweg, zu verwenden. Besonders wurde auf eine anschauliche Präsentation des Stoffes Wert gelegt, used to be zum einen durch zahlreiche erklärende farbige Grafiken und zum anderen durch viele praxisrelevante Beispiele und Aufgaben mit Lösungen erreicht wurde. Der textual content ist insbesondere für Physiker geeignet, aber darüber hinaus auch für Ingenieure im Selbststudium.
Grundlagen der Funktionalanalysis