Download or read book Digital Computer Solution of Linear and Nonlinear Ordinary Differential Equations written by David S. Cooper and published by . This book was released on 1964 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: A digital computer program which will provide accurate and stable solutions of linear and nonlinear ordinary differential equations is described, as are subprograms which simulate many of the nonlinearities occurring in feedback control systems. The program employs fourth order Runge-Kutta numerical integration with automatic error checking and interval modification. Specialized coding sheets assist in the preparation of input data, and built-in print and graph output routines provide a permanent record of input equations, parameter values and output data for each solution. The program is flexible, yet it can be used by a person with only a rudimentary knowledge of FORTRAN programming. (Author).

Download or read book Digital Computer Solution of Linear and Nonlinear Ordinary Differential Equations written by and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A digital computer program which will provide accurate and stable solutions of linear and nonlinear ordinary differential equations is described, as are subprograms which simulate many of the nonlinearities occurring in feedback control systems. The program employs fourth order Runge-Kutta numerical integration with automatic error checking and interval modification. Specialized coding sheets assist in the preparation of input data, and built-in print and graph output routines provide a permanent record of input equations, parameter values and output data for each solution. The program is flexible, yet it can be used by a person with only a rudimentary knowledge of FORTRAN programming. (Author).

Download or read book Analytic Solutions for Non linear Differential Equations with the Help of a Digital Computer written by Paul C. Cromwell and published by . This book was released on 1964 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Digital Computer Solution of Synchronous Machine Differential Equations in Some Power System Stability Problems written by Ralph Wayne Gilchrist and published by . This book was released on 1960 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Solution of Van Der Pol s Non linear Differential Equation by Digital Computer written by Chien-Yang Chen and published by . This book was released on 1961 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NBS Special Publication written by and published by . This book was released on 1965 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Application of a Digital Computer to Solve Analytically Special Classes of Linear and Nonlinear Differential Equations written by Richard Andrew Rink and published by . This book was released on 1972 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Partial Analytical Solution of the Van Der Pol Non linear Differential Equation by Digital Computer written by Anthony Regan and published by . This book was released on 1959 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Ordinary Differential Equations written by R. Grimshaw and published by Routledge. This book was released on 2017-10-19 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.

Download or read book Modern Elementary Differential Equations written by Richard Bellman and published by Courier Corporation. This book was released on 1995-01-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.

Download or read book Nonlinear Ordinary Differential Equations Problems and Solutions written by Dominic Jordan and published by OUP Oxford. This book was released on 2007-08-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in Nonlinear Ordinary Differential Equations 4th Edition, and in most cases can be adapted for coursework or self-study. 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.

Download or read book Computer Solution of Ordinary Differential Equations written by Lawrence F. Shampine and published by . This book was released on 1975 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Analog Computer Solution of Differential Equations of the Form L D y t written by Louis G. Birta and published by . This book was released on 1967 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analog (or digital) computer solution of a linear differential equation of the form L(D)y(t) = M(D)u(t) is invariably obtained by solving an equivalent set of linear first-order differential equations. It is shown in this Report that if the polynomials L(D) and M(D) have a common factor, this equivalent set of first-order equations must be chosen in a particular manner. The initial conditions associated with the equivalent first-order system are intimately related to the given initial conditions on y and its derivatives. The fundamental equation embodying this interrelation is developed. (Author).

Download or read book Computer Methods for Ordinary Differential Equations and Differential Algebraic Equations written by Uri M. Ascher and published by SIAM. This book was released on 1998-01-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This book is a practical and mathematically well-informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.

Download or read book Computer Solution of Ordinary Differential Equations the Initial Value Problem written by L. F. Shampine and published by . This book was released on 1984 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book National Bureau of Standards Miscellaneous Publication written by and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Digital Computer Treatment of Partial Differential Equations written by V. Rao Vemuri and published by Prentice Hall. This book was released on 1981 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: