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Author : Tomlinson Fort
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (44 download)
Download or read book Finite Differences and Difference Equations in the Real Domain written by Tomlinson Fort and published by . This book was released on 1948 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tomlinson Fort
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (499 download)
Download or read book Finite Differences and Difference Equations in the Real Domains written by Tomlinson Fort and published by . This book was released on 1948 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hyman Levy
Publisher : Courier Corporation
ISBN 13 : 0486672603
Total Pages : 306 pages
Book Rating : 4.4/5 (866 download)
Download or read book Finite Difference Equations written by Hyman Levy and published by Courier Corporation. This book was released on 1992-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition.
Author : Tomlinson Fort
Publisher :
ISBN 13 :
Total Pages : 247 pages
Book Rating : 4.:/5 (833 download)
Download or read book Finite Difference Equations in the Real Domain written by Tomlinson Fort and published by . This book was released on 1948 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B.G. Pachpatte
Publisher : CRC Press
ISBN 13 : 1482271060
Total Pages : 528 pages
Book Rating : 4.4/5 (822 download)
Download or read book Inequalities for Finite Difference Equations written by B.G. Pachpatte and published by CRC Press. This book was released on 2001-12-13 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."
Author : John Loustau
Publisher : World Scientific
ISBN 13 : 981471951X
Total Pages : 384 pages
Book Rating : 4.8/5 (147 download)
Download or read book Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation written by John Loustau and published by World Scientific. This book was released on 2016-03-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting theory.The applied techniques include those that arise in the present literature. The supporting mathematical theory includes the general convergence theory. This material should be readily accessible to students with basic knowledge of mathematical analysis, Lebesgue measure and the basics of Hilbert spaces and Banach spaces. Nevertheless, we have made the book free standing in most respects. Most importantly, the terminology is introduced, explained and developed as needed.The examples presented are taken from multiple vital application areas including finance, aerospace, mathematical biology and fluid mechanics. The text may be used as the basis for several distinct lecture courses or as a reference. For instance, this text will support a general applications course or an FEM course with theory and applications. The presentation of material is empirically-based as more and more is demanded of the reader as we progress through the material. By the end of the text, the level of detail is reminiscent of journal articles. Indeed, it is our intention that this material be used to launch a research career in numerical PDE.
Author : Ronald E Mickens
Publisher : World Scientific
ISBN 13 : 9814518077
Total Pages : 264 pages
Book Rating : 4.8/5 (145 download)
Download or read book Nonstandard Finite Difference Models Of Differential Equations written by Ronald E Mickens and published by World Scientific. This book was released on 1993-12-23 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ronald E. Mickens
Publisher : World Scientific
ISBN 13 : 9812564047
Total Pages : 668 pages
Book Rating : 4.8/5 (125 download)
Download or read book Advances in the Applications of Nonstandard Finite Diffference Schemes written by Ronald E. Mickens and published by World Scientific. This book was released on 2005 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990's and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advance the topic.
Author : Randall J. LeVeque
Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)
Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Author : Sergey Lemeshevsky
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110489724
Total Pages : 265 pages
Book Rating : 4.1/5 (14 download)
Download or read book Exact Finite-Difference Schemes written by Sergey Lemeshevsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-09-26 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and transport problems. After this, applications are discussed, such as the discretisation of ODEs and PDEs and numerical methods for stochastic differential equations. Contents: Basic notation Preliminary results Hyperbolic equations Parabolic equations Use of exact difference schemes to construct NSFD discretizations of differential equations Exact and truncated difference schemes for boundary-value problem Exact difference schemes for stochastic differential equations Numerical blow-up time Bibliography
Author : Ivan Dimov
Publisher : Springer
ISBN 13 : 3319202391
Total Pages : 443 pages
Book Rating : 4.3/5 (192 download)
Download or read book Finite Difference Methods,Theory and Applications written by Ivan Dimov and published by Springer. This book was released on 2015-06-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014. The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.
Author : Ronald E Mickens
Publisher : World Scientific
ISBN 13 : 981122255X
Total Pages : 332 pages
Book Rating : 4.8/5 (112 download)
Download or read book Nonstandard Finite Difference Schemes: Methodology And Applications written by Ronald E Mickens and published by World Scientific. This book was released on 2020-11-11 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the 'principle of dynamic consistency' and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.
Author : Ronald E Mickens
Publisher : World Scientific
ISBN 13 : 9814479861
Total Pages : 665 pages
Book Rating : 4.8/5 (144 download)
Download or read book Advances In The Applications Of Nonstandard Finite Difference Schemes written by Ronald E Mickens and published by World Scientific. This book was released on 2005-10-25 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990's and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advance the topic.
Author : Mikhail Shashkov
Publisher : CRC Press
ISBN 13 : 1351458299
Total Pages : 384 pages
Book Rating : 4.3/5 (514 download)
Download or read book Conservative Finite-Difference Methods on General Grids written by Mikhail Shashkov and published by CRC Press. This book was released on 2018-02-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.
Author : Aleksandr Andreevich Samarskiĭ
Publisher : National AC
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.3/5 (91 download)
Download or read book Second International Conference "Finite-Difference Methods, Theory and Application" (CFDM98) written by Aleksandr Andreevich Samarskiĭ and published by National AC. This book was released on 1998 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor G. Ganzha
Publisher : John Wiley & Sons
ISBN 13 : 1118030850
Total Pages : 458 pages
Book Rating : 4.1/5 (18 download)
Download or read book Computer-Aided Analysis of Difference Schemes for Partial Differential Equations written by Victor G. Ganzha and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in computer technology have conveniently coincided withtrends in numerical analysis toward increased complexity ofcomputational algorithms based on finite difference methods. It isno longer feasible to perform stability investigation of thesemethods manually--and no longer necessary. As this book shows,modern computer algebra tools can be combined with methods fromnumerical analysis to generate programs that will do the jobautomatically. Comprehensive, timely, and accessible--this is the definitivereference on the application of computerized symbolic manipulationsfor analyzing the stability of a wide range of difference schemes.In particular, it deals with those schemes that are used to solvecomplex physical problems in areas such as gas dynamics, heat andmass transfer, catastrophe theory, elasticity, shallow watertheory, and more. Introducing many new applications, methods, and concepts,Computer-Aided Analysis of Difference Schemes for PartialDifferential Equations * Shows how computational algebra expedites the task of stabilityanalysis--whatever the approach to stability investigation * Covers ten different approaches for each stability method * Deals with the specific characteristics of each method and itsapplication to problems commonly encountered by numerical modelers * Describes all basic mathematical formulas that are necessary toimplement each algorithm * Provides each formula in several global algebraic symboliclanguages, such as MAPLE, MATHEMATICA, and REDUCE * Includes numerous illustrations and thought-provoking examplesthroughout the text For mathematicians, physicists, and engineers, as well as forpostgraduate students, and for anyone involved with numericsolutions for real-world physical problems, this book provides avaluable resource, a helpful guide, and a head start ondevelopments for the twenty-first century.
Author : John Hymers
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Treatise on Differential Equations written by John Hymers and published by . This book was released on 1839 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
