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Application of Holomorphic Functions in Two and Higher Dimensions
This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-0348-0964-1
- Collation
- XV, 390
- Series Title
- -
- Call Number
- 515.4 GUR a
Numerical Optimization with Computational Errors
This book studies the approximate solutions of optimization problems in the presence of computational errors. A number of results are presented on the convergence behavior of algorithms in a Hilbert space; these algorithms are examined taking into account computational errors. The author illustrates that algorithms generate a good approximate solution, if computational errors are bounded from a…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-30920-0
- Collation
- IX, 304
- Series Title
- Springer Optimization and Its Applications
- Call Number
- -
Numerical Methods for Nonlinear Partial Differential Equations
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devis…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-13796-4
- Collation
- X, 393
- Series Title
- Springer Series in Computational Mathematics
- Call Number
- -
Numerical Mathematics and Advanced Applications ENUMATH 2015
The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent advances in and aspects of numerical mathematics and scientific and industrial applications. The previous ENUMATH meetings took place in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Gra…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-39927-0
- Collation
- XIV, 643
- Series Title
- Lecture Notes in Computational Science and Engineering
- Call Number
- -
Nonlocal Diffusion and Applications
Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extens…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-28738-6
- Collation
- XII, 155
- Series Title
- Lecture Notes of the Unione Matematica Italiana
- Call Number
- -
Nonlinear Approaches in Engineering Applications: Applied Mechanics, Vibratio…
This book focuses on the latest applications of nonlinear approaches in different disciplines of engineering and to a range of scientific problems. For each selected topic, detailed concept development, derivations and relevant knowledge are provided for the convenience of the readers. The topics range from dynamic systems and control to optimal approaches in nonlinear dynamics. The volume furt…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-09461-8
- Collation
- XXIII, 324
- Series Title
- -
- Call Number
- -
The Inverse Problem of the Calculus of Variations
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general rela…
- Edition
- 1
- ISBN/ISSN
- 978-94-6239-109-3
- Collation
- IX, 289, 3 illustrations in colour
- Series Title
- Atlantis Studies in Variational Geometry
- Call Number
- -
Analysis on h-Harmonics and Dunkl Transforms
This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation the…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-0348-0887-3
- Collation
- VIII, 118
- Series Title
- Advanced Courses in Mathematics - CRM Barcelona
- Call Number
- 515.4 YUA a
Analysis and Geometry in Control Theory and its Applications
Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, whi…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-06917-3
- Collation
- IX, 235
- Series Title
- Springer INdAM Series
- Call Number
- 515.1 ANA a
An Introduction to Optimal Satellite Range Scheduling
The satellite range scheduling (SRS) problem, an important operations research problem in the aerospace industry consisting of allocating tasks among satellites and Earth-bound objects, is examined in this book. SRS principles and solutions are applicable to many areas, including: Satellite communications, where tasks are communication intervals between sets of satellites and ground stations…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-25409-8
- Collation
- XXVII, 162
- Series Title
- Springer Optimization and Its Applications
- Call Number
- 515.5 ALV i
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