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Integral Equations on Time Scales Integral Equations on Time Scales
This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The boo…
- Edition
- -
- ISBN/ISSN
- 978-94-6239-227-4
- Collation
- IX, 402
- Series Title
- -
- Call Number
- 510 GEo i
Integral Methods in Science and Engineering
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Thirteenth International Conference on Integral Methods in Science and…
- Edition
- -
- ISBN/ISSN
- 978-3-319-16726-8
- Collation
- XXVII, 717
- Series Title
- -
- Call Number
- 510 INT
Iterative Solution of Large Sparse Systems of Equations
In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one ha…
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- ISBN/ISSN
- 978-3-319-28483-5
- Collation
- -
- Series Title
- -
- Call Number
- -
Essential Partial Differential Equations Analytical and Computational Aspects
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and …
- Edition
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- ISBN/ISSN
- 978-3-319-22569-2
- Collation
- 105 b/w illustrations, 1 illustrations in colour
- Series Title
- -
- Call Number
- -
Geometric Properties for Parabolic and Elliptic PDE's
This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the…
- Edition
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- ISBN/ISSN
- 978-3-319-41536-9
- Collation
- -
- Series Title
- -
- Call Number
- 516 GEO
Error Estimates for Well-Balanced Schemes on Simple Balance Laws One-Dimensi…
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-depen…
- Edition
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- ISBN/ISSN
- 978-3-319-24785-4
- Collation
- 9 b/w illustrations, 15 illustrations in colour
- Series Title
- -
- Call Number
- -
Inverse Problems in Ordinary Differential Equations and Applications
This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. The Nambu bracket is the central tool in developing this approach. The authors start characterizing the ordinary differential equations in R^N which have a given set of partial integrals or first integra…
- Edition
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- ISBN/ISSN
- 978-3-319-26339-7
- Collation
- -
- Series Title
- -
- Call Number
- -
Geometric Methods in PDE’s
The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading exper…
- Edition
- -
- ISBN/ISSN
- 978-3-319-02665-7
- Collation
- XIII, 373
- Series Title
- -
- Call Number
- 516 GEO
Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-30130-3
- Collation
- IX, 105
- Series Title
- Lecture Notes in Geosystems Mathematics and Computing
- Call Number
- 515.3 UZU a
Surveys in Differential-Algebraic Equations III
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - …
- Edition
- -
- ISBN/ISSN
- 978-3-319-22428-2
- Collation
- IX, 313
- Series Title
- Differential-Algebraic Equations Forum
- Call Number
- -
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