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The Zakharov System and its Soliton Solutions
This book focuses on the theory of the Zakharov system in the context of plasma physics. It has been over 40 years since the system was first derived by V. E. Zakharov – and in the course of those decades, many innovative achievements with major impacts on other research fields have been made. The book represents a first attempt to highlight the mathematical theories that are most importan…
- Edition
- -
- ISBN/ISSN
- 978-981-10-2582-2
- Collation
- -
- Series Title
- -
- Call Number
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Operator-Related Function Theory and Time-Frequency Analysis
This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them. Among the original contributions and overview lectures gathered here …
- Edition
- 1
- ISBN/ISSN
- 2193-2808
- Collation
- XII, 195
- Series Title
- Abel Symposia
- Call Number
- -
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical…
This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and…
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- -
- ISBN/ISSN
- 0255-0156
- Collation
- IX, 496
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
Numerical Simulation in Physics and Engineering
This book presents lecture notes from the XVI ‘Jacques-Louis Lions’ Spanish-French School on Numerical Simulation in Physics and Engineering, held in Pamplona (Navarra, Spain) in September 2014. The subjects covered include: numerical analysis of isogeometric methods, convolution quadrature for wave simulations, mathematical methods in image processing and computer vision, modeling and opti…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-32145-5
- Collation
- IX, 251
- Series Title
- SEMA SIMAI Springer Series
- Call Number
- -
Numerical Simulation in Applied Geophysics
This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics. In particular, a derivation of absorbing boundary conditions in viscoelastic and poroelastic media is presented, which later is employed in the applications. The partial differential equations describing the propagation of waves in Biot media are s…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-48456-3
- Collation
- XV, 309
- Series Title
- Lecture Notes in Geosystems Mathematics and Computing
- Call Number
- -
Numerical PDE-Constrained Optimization
This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated with several examples, including linear and n…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-13394-2
- Collation
- X, 123
- Series Title
- SpringerBriefs in Optimization
- 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 Approximation of Partial Differential Equations
Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementa…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-32353-4
- Collation
- XV, 535
- Series Title
- Texts in Applied Mathematics
- Call Number
- -
Numerical Analysis and Optimization: NAO-III, Muscat, Oman, January 2014
Presenting the latest findings in the field of numerical analysis and optimization, this volume balances pure research with practical applications of the subject. Accompanied by detailed tables, figures, and examinations of useful software tools, this volume will equip the reader to perform detailed and layered analysis of complex datasets.Many real-world complex problems can be formulated as o…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17688-8
- Collation
- XII, 344
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- -
Notes on the Infinity Laplace Equation
This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications t…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-31531-7
- Collation
- IX, 68
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- -
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