A Compendium of Partial Differential Equation Models PDF Download
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Author: William E. Schiesser
Publisher: Cambridge University Press
ISBN: 0521519861
Category : Computers
Languages : en
Pages : 491
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Book Description
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Author: William E. Schiesser
Publisher: Cambridge University Press
ISBN: 0521519861
Category : Computers
Languages : en
Pages : 491
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Book Description
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Author: Alfio Borzì
Publisher: CRC Press
ISBN: 1351190377
Category : Mathematics
Languages : en
Pages : 339
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Book Description
Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games. The book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book. Features: Provides insight into rigorous mathematical issues concerning various topics, while discussing many different models of interest in different disciplines (biology, chemistry, economics, medicine, physics, social sciences, etc.) Suitable for undergraduate and graduate students and as an introduction for researchers in engineering and the sciences Accompanied by codes which allow the reader to apply the numerical methods discussed in this book in those cases where analytical solutions are not available
Author: Paul W. Davis
Publisher:
ISBN: 9780558371562
Category : Differential equations
Languages : en
Pages : 685
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Book Description
Author: Glenn Fulford
Publisher: Cambridge University Press
ISBN: 9780521446181
Category : Mathematics
Languages : en
Pages : 420
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Book Description
Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.
Author: Courtney Brown
Publisher: SAGE
ISBN: 1412941083
Category : Social Science
Languages : en
Pages : 121
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Book Description
'Differential Equations: A Modeling Approach' explains the mathematics and theory of differential equations. Graphical methods of analysis are emphasized over formal proofs, making the text even more accessible for newcomers to the subject matter.
Author: E. Allen
Publisher: Springer Science & Business Media
ISBN: 1402059531
Category : Mathematics
Languages : en
Pages : 239
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Book Description
This book explains a procedure for constructing realistic stochastic differential equation models for randomly varying systems in biology, chemistry, physics, engineering, and finance. Introductory chapters present the fundamental concepts of random variables, stochastic processes, stochastic integration, and stochastic differential equations. These concepts are explained in a Hilbert space setting which unifies and simplifies the presentation.
Author: Carlos A. Smith
Publisher: CRC Press
ISBN: 1439850887
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for
Author: Alexander Solodov
Publisher: Springer Science & Business Media
ISBN: 9783540208525
Category : Mathematics
Languages : en
Pages : 252
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Book Description
Differential equations are often used in mathematical models for technological processes or devices. However, the design of a differential mathematical model iscrucial anddifficult in engineering. As a hands-on approach to learn how to pose a differential mathematical modelthe authors have selected 9 examples with important practical application and treat them as following:- Problem-setting and physical model formulation- Designing the differential mathematical model- Integration of the differential equations- Visualization of results Each step of the development ofa differential model isenriched by respective Mathcad 11commands, todays necessary linkage of engineering significance and high computing complexity. TOC:Differential Mathematical Models.- Integrable Differential Equations.- Dynamic Model of the System with Heat Engineering.- Stiff Differential Equations.- Heat Transfer near the Critical Point.- The Faulkner- Skan Equation of Boundary Layer.- The Rayleigh Equation: Hydronamic Instability.- Kinematic Waves of Concentration in Ion- Exchange Filters.- Kinematic Shock Waves.- Numerical Modelling of the CPU-board Temperature Field.- Temperature Waves.
Author: Ansgar Jüngel
Publisher: Springer Science & Business Media
ISBN: 9783211209950
Category : Mathematics
Languages : en
Pages : 216
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Book Description
The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" – May 20–24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.
Author: Hervé Le Dret
Publisher: Birkhäuser
ISBN: 3319270672
Category : Mathematics
Languages : en
Pages : 395
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Book Description
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.
