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Author : W. F. Ames
Publisher : Academic Press
Page : 282 pages
File Size : 47,8 Mb
Release : 1968
Category : Computers
ISBN : 9780080955506
Nonlinear Ordinary Differential Equations in Transport Processes
Author : William F. Ames
Publisher : Unknown
Page : 265 pages
File Size : 53,6 Mb
Release : 1968
Category : Differential equations, Nonlinear
ISBN : LCCN:68018651
Author : C. A. Silebi,William E. Schiesser
Publisher : Elsevier
Page : 533 pages
File Size : 50,8 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780080925820
This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are generally of two types: ordinary differential equations (ODEs) and partial differential equations (PDEs) for which time is an independent variable. The computer-based methodology presented is general purpose and can be applied to most applications requiring the numerical integration of initial-value ODEs/PDEs. A set of approximately two hundred applications of ODEs and PDEs developed by the authors are listed in Appendix 8.
Author : Dominic William Jordan,Peter Smith
Publisher : Oxford University Press, USA
Page : 564 pages
File Size : 46,9 Mb
Release : 1999
Category : Mathematics
ISBN : 0198565623
This edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos.
Author : William Francis Ames
Publisher : Unknown
Page : 265 pages
File Size : 43,6 Mb
Release : 1968
Category : Electronic
ISBN : OCLC:711914352
Author : Dominic Jordan,Peter Smith
Publisher : OUP Oxford
Page : 540 pages
File Size : 52,6 Mb
Release : 2007-08-24
Category : Mathematics
ISBN : 9780191525995
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.
Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 55,8 Mb
Release : 1971-03-31
Category : Mathematics
ISBN : 0080955835
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author : P.A. Clarkson
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 55,7 Mb
Release : 1993-09-30
Category : Science
ISBN : 0792324579
In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied. Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. `soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations. (ABSTRACT) In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for `soliton' equations and twistor theory, for the self-dual Yang--Mills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations.
Author : Gilbert
Publisher : Academic Press
Page : 310 pages
File Size : 48,8 Mb
Release : 1969
Category : Computers
ISBN : 9780080955629
Function Theoretic Methods in Partial Differential Equations
Author : Dominic Jordan,Peter Smith
Publisher : Oxford University Press
Page : 594 pages
File Size : 48,5 Mb
Release : 2007-08-23
Category : Mathematics
ISBN : 9780199212033
An ideal companion to the student textbook Nonlinear Ordinary Differential Equations 4th Edition (OUP, 2007) this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study.
Author : United States. National Bureau of Standards
Publisher : Unknown
Page : 342 pages
File Size : 41,9 Mb
Release : 1969
Category : Hydraulic engineering
ISBN : UOM:39015095088137
Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 52,6 Mb
Release : 1971-05-31
Category : Mathematics
ISBN : 008095586X
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author : Anonim
Publisher : Unknown
Page : 344 pages
File Size : 42,9 Mb
Release : 1969
Category : Weights and measures
ISBN : UCAL:B4112699
Author : Anonim
Publisher : Unknown
Page : 708 pages
File Size : 50,6 Mb
Release : 1972
Category : Hydraulic engineering
ISBN : UIUC:30112027539284
Author : United States. National Bureau of Standards
Publisher : Unknown
Page : 336 pages
File Size : 45,8 Mb
Release : 1968
Category : Hydraulic engineering
ISBN : UIUC:30112106953653
