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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 Water Waves: Cetraro, Italy 2013
This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest. Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their descri…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-31461-7
- Collation
- VII, 228
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Nonlinear Ordinary Differential Equations: Analytical Approximation and Numer…
The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to solving nonlinear ODEs using num…
- Edition
- 1
- ISBN/ISSN
- 978-81-322-2810-3
- Collation
- XVI, 310
- 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
- -
Nonlinear Maps and their Applications
In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors…
- Edition
- 1
- ISBN/ISSN
- 2194-1009
- Collation
- XI, 288
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- -
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Co…
This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains e…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-29023-2
- Collation
- XXI, 497
- Series Title
- Developments in 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
- -
Anomaly Detection in Random Heterogeneous Media: Feynman-Kac Formulae, Stocha…
This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic, stationary and ergodic conductivity random field whose realizations are rapidly oscillating. For this purpose, he derives Feynman-Kac formulae to rig…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-658-10993-6
- Collation
- XIV, 150
- Series Title
- -
- Call Number
- 519.2 SIM a
Analytic Methods in Interdisciplinary Applications
The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing mo…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12148-2
- Collation
- X, 181
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 515.3 ANA a
Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia, March 2014. In Honour of Mo…
This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011. All research articles were written by leading experts, some of whom are prize winn…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-17443-3
- Collation
- VIII, 266
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 515.3 ANA a
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