Handbook of Differential Equations: Ordinary Differential Equations North-Holland

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This handbook is the second volume in a series devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields, in order to make the chapters of the volume accessible to a wide audience. It includes six chapters covering a variety of problems in ordinary differential equations. It reflects both, pure mathematical research and real word applications.

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Computer Methods For Ordinary Differential Equations And Differential Algebraic Equations

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Ordinary Differential Equations and Partial Differential Equations Using MATLAB

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Ordinary Differential Equations Springer-Verlag Berlin and Heidelberg GmbH & Co....

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Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. §From the reviews:§"Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW§

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Ordinary Differential Equations Springer-Verlag New York Inc.

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Unlike other texts on differential equations, this one provides an early presentation of the Laplace transform before deploying it in the motivation and development of many of the differential equation concepts for which it is particularly well suited.

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Ordinary Differential Equations MIT Press Ltd

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Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms.

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Numerical Methods for Ordinary Differential Equations Springer London Ltd

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Written for undergraduate students with a mathematical background, this book is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. It features numerous theoretical and computational examples.§

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Solving Ordinary Differential Equations I Springer-Verlag Berlin and Heidelberg GmbH & Co....

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Dieser Band befasst sich mit der Lösung von nicht-steifen, gewöhnlichen Differentialgleichungen. Das erste Kapitel beschreibt die historische Entwicklung der klassischen Theorie von Newton, Leibniz, Euler und Hamilton bis hin zu Grenzzykeln und seltsamen Attraktoren. In einem zweiten Kapitel werden Runge-Kutta- und Extrapolationsmethoden behandelt. Weitere Themen sind stetige Methoden für dichten Output, parallele Runge-Kutta-Methoden, spezielle Methoden für Hamiltonsche Systeme, Differentialgleichungen zweiter Ordnung und Gleichungen mit nacheilendem Argument. Das dritte Kapitel beginnt mit der klassischen Theorie der Mehrschrittverfahren und schließt mit der Theorie der allgemeinen linearen Methoden ab.§Viele Anwen dungen aus der Physik, Chemie, Biologie und Astronomie in Verbindung mit Computerprogrammen und numerischen Vergleichen vervollständigen dieses Buch, das sich an Studenten der höheren Semester und Forscher in der numerischen Mathematik und dem Gebiet Wissenschaftliches Rechnen sowie an Wissenschaftler in den o.g. Gebieten wendet.This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory from Newton, Leibniz, Euler, and Hamilton to limit cycles and strange attractors. In a second chapter a modern treatment of Runge-Kutta and extrapolation methods is given. Also included are continuous methods for dense output, parallel Runge-Kutta methods, special methods for Hamiltonian systems, second order differential equations and delay equations. The third chapter begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. Many applications from physics, chemistry, biology, and astronomy together with computer programs and numerical comparisons are presented. This new edition has been rewritten, errors have been eliminated and new material has been included.§It will be imm ensely useful to graduate students and researchers in numerical analysis and scientific computing, and to scientists in the fields mentioned above.

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Ordinary Differential Equations With Applications

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Techniques Of Applied Mathematics, Ordinary Differential Equations And Green's Functions (Classic Reprint)

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Ordinary Differential Equations

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Ordinary Differential Equations And Dynamical Systems

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Ordinary Differential Equations

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Basic Theory Of Ordinary Differential Equations

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Stability And Periodic Solutions Of Ordinary And Functional Differential Equations

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