Download Modelling With Differential And Difference Equations full books in PDF, epub, and Kindle. Read online free Modelling With Differential And Difference Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Glenn Fulford |
| Publisher | : Cambridge University Press |
| Total Pages | : 420 |
| Release | : 1997-06-12 |
| Genre | : Mathematics |
| ISBN | : 9780521446181 |
Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.
| Author | : R Mickens |
| Publisher | : CRC Press |
| Total Pages | : 470 |
| Release | : 1991-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780442001360 |
In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.
| Author | : Ronald E. Mickens |
| Publisher | : World Scientific |
| Total Pages | : 264 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 9810214588 |
This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such that the elementary types of numerical instabilities do not occur. A consequence of this result is that in general bigger step-sizes can often be used in actual calculations and/or finite difference schemes can be constructed that are conditionally stable in many instances whereas in using standard techniques no such schemes exist. The theoretical basis of this work is centered on the concepts of ?exact? and ?best? finite difference schemes. In addition, a set of rules is given for the discrete modeling of derivatives and nonlinear expressions that occur in differential equations. These rules often lead to a unique nonstandard finite difference model for a given differential equation.
| Author | : Frank R. Giordano |
| Publisher | : Cengage Learning |
| Total Pages | : 640 |
| Release | : 2008-07-03 |
| Genre | : Mathematics |
| ISBN | : 9780495011590 |
Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students' problem-solving capabilities -- whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible -- beginning with short projects -- the book facilitates their progressive development and confidence in mathematics and modeling. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
| Author | : Sandip Banerjee |
| Publisher | : CRC Press |
| Total Pages | : 276 |
| Release | : 2014-02-07 |
| Genre | : Mathematics |
| ISBN | : 1482229161 |
Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differe
| Author | : Bellman |
| Publisher | : Academic Press |
| Total Pages | : 484 |
| Release | : 1963-01-01 |
| Genre | : Mathematics |
| ISBN | : 0080955142 |
Differential-Difference Equations
| Author | : Ioannis Dassios |
| Publisher | : MDPI |
| Total Pages | : 160 |
| Release | : 2020-06-23 |
| Genre | : Technology & Engineering |
| ISBN | : 3039288253 |
This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.
| Author | : T.P. Dreyer |
| Publisher | : Routledge |
| Total Pages | : 304 |
| Release | : 2017-09-06 |
| Genre | : Mathematics |
| ISBN | : 135143070X |
Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
| Author | : T.P. Dreyer |
| Publisher | : Routledge |
| Total Pages | : 302 |
| Release | : 2017-09-06 |
| Genre | : Mathematics |
| ISBN | : 1351430696 |
Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
| Author | : Clifford Henry Taubes |
| Publisher | : Cambridge University Press |
| Total Pages | : 526 |
| Release | : 2008-01-17 |
| Genre | : Mathematics |
| ISBN | : 1316582787 |
Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists.
