Applied Functional Analysis

Applications to Mathematical Physics

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN: 1461208157

Category: Mathematics

Page: 481

View: 6011


The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

An Introduction to Semiflows

Author: Albert J. Milani,Norbert J. Koksch

Publisher: CRC Press

ISBN: 1000738221

Category: Mathematics

Page: 386

View: 5589


This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The auth

Full-3D Seismic Waveform Inversion

Theory, Software and Practice

Author: Po Chen,En-Jui Lee

Publisher: Springer

ISBN: 3319166042

Category: Science

Page: 513

View: 459


This book introduces a methodology for solving the seismic inverse problem using purely numerical solutions built on 3D wave equations and which is free of the approximations or simplifications that are common in classical seismic inversion methodologies and therefore applicable to arbitrary 3D geological media and seismic source models. Source codes provided allow readers to experiment with the calculations demonstrated and also explore their own applications.

IUTAM Symposium on Discretization Methods for Evolving Discontinuities

Proceedings of the IUTAM Symposium held Lyon, France, 4 – 7 September, 2006

Author: Alain Combescure,René, de Borst,Ted Belytschko

Publisher: Springer Science & Business Media

ISBN: 9781402065309

Category: Technology & Engineering

Page: 436

View: 7791


In recent years, discretization methods have been proposed which are more flexible and which have the potential of capturing (moving) discontinuities in a robust and efficient manner. This monograph assembles contributions of leading experts with the most recent developments in this rapidly evolving field. It provides the most comprehensive coverage of state-of-the art numerical methods for treating discontinuities in mechanics.

Introductory Functional Analysis

With Applications to Boundary Value Problems and Finite Elements

Author: B.D. Reddy,D. Daya Reddy

Publisher: Springer Science & Business Media

ISBN: 9780387983073

Category: Computers

Page: 471

View: 1473


Provides a grounding in the various aspects of functional analysis, approaching abstract concepts in a motivational manner, and illustrating them where possible. The text is aimed at students who may not have been exposed to the conventional prerequisites for a course in functional analysis.


Author: N.A

Publisher: N.A


Category: American literature

Page: N.A

View: 4882