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Entropy Methods for Diffusive Partial Differential Equations
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of …
- Edition
- -
- ISBN/ISSN
- 978-3-319-34219-1
- Collation
- 1 illustrations in colour
- Series Title
- -
- Call Number
- -
A Guide to Numerical Modelling in Systems Biology
This book is intended for students of computational systems biology with only a limited background in mathematics. Typical books on systems biology merely mention algorithmic approaches, but without offering a deeper understanding. On the other hand, mathematical books are typically unreadable for computational biologists. The authors of the present book have worked hard to fill this gap. The r…
- Edition
- -
- ISBN/ISSN
- 978-3-319-20059-0
- Collation
- -
- Series Title
- Texts in Computational Science and Engineering
- Call Number
- 515.35 DEU g
A First Course in Differential Equations
The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathemati…
- Edition
- Ed. 3
- ISBN/ISSN
- 978-3-319-17852-3
- Collation
- -
- Series Title
- Undergraduate Texts in Mathematics
- Call Number
- 511 LOG f
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
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- ISBN/ISSN
- 978-3-319-19527-8
- Collation
- VIII, 218
- 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…
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- -
- ISBN/ISSN
- 978-981-10-2582-2
- Collation
- -
- Series Title
- -
- Call Number
- -
Navier–Stokes Equations on R3 × [0, T]
In this monograph, leading researchers in the world of numerical analysis, partial differential equations, and hard computational problems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z, t) ∈ ℝ3 × [0, T]. Initially converting the PDE to a system of integral equations, the authors then describe spaces A of analytic functions that house so…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27524-6
- Collation
- X, 226
- Series Title
- -
- Call Number
- -
Navier–Stokes Equations:An Introduction with Applications
This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differenti…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27758-5
- Collation
- XIV, 390
- Series Title
- Advances in Mechanics and Mathematics
- Call Number
- -
Navier-Stokes Flow Around a Rotating Obstacle:Mathematical Analysis of its As…
The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second o…
- Edition
- 1
- ISBN/ISSN
- 978-94-6239-230-4
- Collation
- X, 96
- Series Title
- Atlantis Briefs in Differential Equations
- Call Number
- -
Multiple Time Scale Dynamics
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-12315-8
- Collation
- XIII, 814
- Series Title
- Applied Mathematical Sciences
- Call Number
- -
Multiple Shooting and Time Domain Decomposition Methods:MuS-TDD, Heidelberg, …
This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoreti…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23320-8
- Collation
- X, 422
- Series Title
- Contributions in Mathematical and Computational Sciences
- Call Number
- -
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