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An Introduction to Neural Network Methods for Differential Equations
This book introduces a variety of neural network methods for solving differential equations arising in science and engineering. The emphasis is placed on a deep understanding of the neural network techniques, which has been presented in a mostly heuristic and intuitive manner. This approach will enable the reader to understand the working, efficiency and shortcomings of each neural network tech…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-94-017-9816-7
- Collation
- XIII, 114
- Series Title
- SpringerBriefs in Applied Sciences and Technology
- Call Number
- 515.3 YAD i
An Introduction to Linear Ordinary Differential Equations Using the Impulsive…
This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-49667-2
- Collation
- VII, 120
- Series Title
- PoliTO Springer Series
- Call Number
- 515.3 CAM i
New Trends in Shape Optimization
This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a numb…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17562-1
- Collation
- VIII, 314
- Series Title
- International Series of Numerical Mathematics
- Call Number
- -
Computational Electromagnetism Cetraro, Italy 2014
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro …
- Edition
- -
- ISBN/ISSN
- 978-3-319-19306-9
- Collation
- -
- Series Title
- -
- Call Number
- -
Asymptotic methods in mechanics of solids
The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a gener…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18311-4
- Collation
- -
- Series Title
- -
- Call Number
- -
Asymptotic Integration of Differential and Difference Equations
This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18248-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Asymptotic Analysis for Functional Stochastic Differential Equations
This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavio…
- Edition
- -
- ISBN/ISSN
- 978-3-319-46979-9
- Collation
- -
- Series Title
- -
- Call Number
- -
p-Laplace Equation in the Heisenberg Group Regularity of Solutions
This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group. In particular, it presents detailed proofs of smoothness for solutions to the non-degenerate equation and of Lipschitz regularity for solutions to the degenerate one. An introductory chapter presents the basic properties of the Heisenberg group, making the coverage self-contained. The settin…
- Edition
- -
- ISBN/ISSN
- 978-3-319-23790-9
- 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
Yosida Approximations of Stochastic Differential Equations in Infinite Dimens…
This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics…
- Edition
- -
- ISBN/ISSN
- 978-3-319-45684-3
- Collation
- -
- Series Title
- -
- Call Number
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