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Book Conference on the Numerical Solution of Differential Equations

Download or read book Conference on the Numerical Solution of Differential Equations written by G. A. Watson and published by . This book was released on 2014-01-15 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Conference on the Numerical Solution of Differential Equations

Download or read book Conference on the Numerical Solution of Differential Equations written by G.A. Watson and published by Springer. This book was released on 2006-11-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations

Download or read book Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations written by D. G. Bettis and published by . This book was released on 2014-01-15 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Conference on the Numerical Solution of Differential Equations

Download or read book Conference on the Numerical Solution of Differential Equations written by J. L. Morris and published by Springer. This book was released on 2006-11-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Methods for Partial Differential Equations

Download or read book Numerical Methods for Partial Differential Equations written by Zhu You-lan and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.

Book Partial Differential Equations

Download or read book Partial Differential Equations written by J. Necas and published by Routledge. This book was released on 2018-05-04 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs). This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in their fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modeling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology, image analysis, motion analysis, and optimal control. The importance and quantity of research carried out around the world in this field makes it imperative for researchers, applied mathematicians, physicists and engineers to keep up with the latest developments. With its panel of international contributors and survey of the recent ramifications of theory, applications, and numerical methods, Partial Differential Equations: Theory and Numerical Solution provides a convenient means to that end.

Book Numerical Analysis and Its Applications

Download or read book Numerical Analysis and Its Applications written by Svetozar D. Margenov and published by Springer. This book was released on 2009-02-07 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.

Book Numerical Solution of Initial value Problems in Differential algebraic Equations

Download or read book Numerical Solution of Initial value Problems in Differential algebraic Equations written by K. E. Brenan and published by SIAM. This book was released on 1996-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date. The objective of this monograph is to advance and consolidate the existing research results for the numerical solution of DAE's. The authors present results on the analysis of numerical methods, and also show how these results are relevant for the solution of problems from applications. They develop guidelines for problem formulation and effective use of the available mathematical software and provide extensive references for further study.

Book Numerical Methods for Initial Value Problems in Ordinary Differential Equations

Download or read book Numerical Methods for Initial Value Problems in Ordinary Differential Equations written by Simeon Ola Fatunla and published by Academic Press. This book was released on 2014-05-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Method for Initial Value Problems in Ordinary Differential Equations deals with numerical treatment of special differential equations: stiff, stiff oscillatory, singular, and discontinuous initial value problems, characterized by large Lipschitz constants. The book reviews the difference operators, the theory of interpolation, first integral mean value theorem, and numerical integration algorithms. The text explains the theory of one-step methods, the Euler scheme, the inverse Euler scheme, and also Richardson's extrapolation. The book discusses the general theory of Runge-Kutta processes, including the error estimation, and stepsize selection of the R-K process. The text evaluates the different linear multistep methods such as the explicit linear multistep methods (Adams-Bashforth, 1883), the implicit linear multistep methods (Adams-Moulton scheme, 1926), and the general theory of linear multistep methods. The book also reviews the existing stiff codes based on the implicit/semi-implicit, singly/diagonally implicit Runge-Kutta schemes, the backward differentiation formulas, the second derivative formulas, as well as the related extrapolation processes. The text is intended for undergraduates in mathematics, computer science, or engineering courses, andfor postgraduate students or researchers in related disciplines.

Book Numerical Treatment of Differential Equations

Download or read book Numerical Treatment of Differential Equations written by R. Bulirsch and published by Springer. This book was released on 2006-11-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Computational Ordinary Differential Equations

Download or read book Computational Ordinary Differential Equations written by Institute of Mathematics and Its Applications and published by Oxford University Press, USA. This book was released on 1992 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of refereed papers from an international conference provides a comprehensive coverage of recent research on the numerical solution of ordinary differential equations. There are sections on initial value problems, boundary value problems, differential algebraic equations,applications to the solution of partial differential equations, parallel solution methods, and methods of conservation and global error calculation. Within each section the papers have been ordered so that the reader will perceive a gradual movement from the theoretical to the practical. Newchallenges such as the solution of differential-algebraic equations and the impact of parallelism are covered alongside currently topical aspects of older problems such as the interpolation of Runge-Kutta methods and the development of formulas which conserve energy whilst preserving accuracy. Fornumerical analysts in academic and industrial research this book provides detailed coverage of this important subject.