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Applied Partial Differential Equations
This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12493-3
- Collation
- XI, 289
- Series Title
- Undergraduate Texts in Mathematics
- Call Number
- 515.3 LOG a
Applied Mathematics in Tunisia: International Conference on Advances in Appli…
This contributed volume presents some recent theoretical advances in mathematics and its applications in various areas of science and technology. Written by internationally recognized scientists and researchers, the chapters in this book are based on talks given at the International Conference on Advances in Applied Mathematics (ICAAM), which took place December 16-19, 2013, in Hammamet, Tunisi…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-18041-0
- Collation
- XIX, 397
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 518 APP a
Theory of Reproducing Kernels and Applications
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0530-5
- Collation
- -
- Series Title
- -
- Call Number
- -
Theory of Distributions
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. Thi…
- Edition
- -
- ISBN/ISSN
- 978-3-319-19527-8
- Collation
- -
- Series Title
- -
- Call Number
- -
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
- -
Finite Element Methods for Incompressible Flow Problems
This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs …
- Edition
- -
- ISBN/ISSN
- 978-3-319-45750-5
- Collation
- XIII, 812
- Series Title
- Springer Series in Computational Mathematics
- Call Number
- -
Mathematical Analysis II
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of func…
- Edition
- -
- ISBN/ISSN
- 978-3-319-12757-6
- Collation
- -
- Series Title
- -
- Call Number
- -
The Convergence Problem for Dissipative Autonomous Systems Classical Methods…
The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. After reviewing the basic concepts of topological dynamics and the definition of gradient-like systems on a metri…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23407-6
- Collation
- -
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- XII, 142, 1 illustrations in colour
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