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Stability Boundaries Revisited Runge Kutta Methods For Delay Differential Equations
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Book Synopsis Stability Boundaries Revisited - Runge-Kutta Methods for Delay Differential Equations by : Christopher A. H. Paul
Download or read book Stability Boundaries Revisited - Runge-Kutta Methods for Delay Differential Equations written by Christopher A. H. Paul and published by . This book was released on 1991 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Boundaries Revisited - Runge-Kutta Methods for Delay Equations by : C. A. H. Paul
Download or read book Stability Boundaries Revisited - Runge-Kutta Methods for Delay Equations written by C. A. H. Paul and published by . This book was released on 1991 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Delay Differential Equations and Applications to Biology by : Fathalla A. Rihan
Download or read book Delay Differential Equations and Applications to Biology written by Fathalla A. Rihan and published by Springer Nature. This book was released on 2021-08-19 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.
Book Synopsis Stability Boundaries Revisited - RK Methods for Delay Equations by : Christopher A. Paul
Download or read book Stability Boundaries Revisited - RK Methods for Delay Equations written by Christopher A. Paul and published by . This book was released on 1991 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Numerical Methods for Delay Differential Equations by : Jiaoxun Kuang
Download or read book Stability of Numerical Methods for Delay Differential Equations written by Jiaoxun Kuang and published by Elsevier. This book was released on 2005 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed by Elsevier Science on behalf of Science Press. Available internationally for the first time, this book introduces the basic concepts and theory of the stability of numerical methods for solving differential equations, with emphasis on delay differential equations and basic techniques for proving stability of numerical methods. It is a desirable reference for engineers and academic researchers and can also be used by graduate students in mathematics, physics, and engineering. Emphasis on the stability of numerical methods for solving delay differential equations, which is vital for engineers and researchers applying these mathematical models Introduces basic concepts and theory as well as basic techniques for readers to apply in practice Can be used as for graduate courses or as a reference book for researchers and engineers in related areas Written by leading mathematicians from Shanghai Normal University in China
Book Synopsis The Stability of a Class of Runge-kutta Methods for Delay Differential Equations by : Karel Jasper Hout
Download or read book The Stability of a Class of Runge-kutta Methods for Delay Differential Equations written by Karel Jasper Hout and published by . This book was released on 1990 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Analysis of Runge-Kutta Methods for Systems of Delay Differential Equations by : Karel Jasper Hout
Download or read book Stability Analysis of Runge-Kutta Methods for Systems of Delay Differential Equations written by Karel Jasper Hout and published by . This book was released on 1995 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Variable-step Continuous Runge-Kutta Methods for Scalar Delay Differential Equations by : Christopher T. H. Baker
Download or read book Stability of Variable-step Continuous Runge-Kutta Methods for Scalar Delay Differential Equations written by Christopher T. H. Baker and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Stability of Adaptations of the Class of Runge-Kutta Methods to Delay Differential Equations by : Karel Jasper Hout
Download or read book On the Stability of Adaptations of the Class of Runge-Kutta Methods to Delay Differential Equations written by Karel Jasper Hout and published by . This book was released on 1996 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Stability Results for Runge-Kutta Methods Adapted to Delay Differential Equations by : Egidius Gerardus Heuvel
Download or read book New Stability Results for Runge-Kutta Methods Adapted to Delay Differential Equations written by Egidius Gerardus Heuvel and published by . This book was released on 1998 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A New Approach to the Stability of Runge-Kutta Methods for Solving Systems of Ordinary and Delay Differential Equations by : Egidius Gerardus van den Heuvel
Download or read book A New Approach to the Stability of Runge-Kutta Methods for Solving Systems of Ordinary and Delay Differential Equations written by Egidius Gerardus van den Heuvel and published by . This book was released on 2001 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability, Control, and Computation for Time-Delay Systems by : Wim Michiels
Download or read book Stability, Control, and Computation for Time-Delay Systems written by Wim Michiels and published by SIAM. This book was released on 2014-12-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems. In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.
Book Synopsis Spline Functions and the Theory of Wavelets by : Serge Dubuc
Download or read book Spline Functions and the Theory of Wavelets written by Serge Dubuc and published by American Mathematical Soc.. This book was released on 1999 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on a series of thematic workshops on the theory of wavelets and the theory of splines. Important applications are included. The volume is divided into four parts: Spline Functions, Theory of Wavelets, Wavelets in Physics, and Splines and Wavelets in Statistics. Part one presents the broad spectrum of current research in the theory and applications of spline functions. Theory ranges from classical univariate spline approximation to an abstract framework for multivariate spline interpolation. Applications include scattered-data interpolation, differential equations and various techniques in CAGD. Part two considers two developments in subdivision schemes; one for uniform regularity and the other for irregular situations. The latter includes construction of multidimensional wavelet bases and determination of bases with a given time frequency localization. In part three, the multifractal formalism is extended to fractal functions involving oscillating singularites. There is a review of a method of quantization of classical systems based on the theory of coherent states. Wavelets are applied in the domains of atomic, molecular and condensed-matter physics. In part four, ways in which wavelets can be used to solve important function estimation problems in statistics are shown. Different wavelet estimators are proposed in the following distinct cases: functions with discontinuities, errors that are no longer Gaussian, wavelet estimation with robustness, and error distribution that is no longer stationary. Some of the contributions in this volume are current research results not previously available in monograph form. The volume features many applications and interesting new theoretical developments. Readers will find powerful methods for studying irregularities in mathematics, physics, and statistics.
Book Synopsis Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations by : Kees Dekker
Download or read book Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations written by Kees Dekker and published by North Holland. This book was released on 1984 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this monograph is to present a unified account of all developments concerning stability of Runge-Kutta methods for stiff nonlinear differential equations which began in 1975 with Dahlquist's G-stability paper and Butcher's B-stability paper. Designed for the reader with a background in numerical analysis, the book contains numerous theoretical and practical results aimed at giving insight into the treatment of nonlinear problems.
Book Synopsis Convergence of Runge-Kutta Methods for Delay Differential Equations by : K. J. in 't Hout
Download or read book Convergence of Runge-Kutta Methods for Delay Differential Equations written by K. J. in 't Hout and published by . This book was released on 2000 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Silviu-Iulian Niculescu Publisher :Springer Science & Business Media ISBN 13 :3642184820 Total Pages :445 pages Book Rating :4.6/5 (421 download)
Book Synopsis Advances in Time-Delay Systems by : Silviu-Iulian Niculescu
Download or read book Advances in Time-Delay Systems written by Silviu-Iulian Niculescu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mathematical description of a physical or biological process, it is a common practice \0 assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora ted perfonnances for the corresponding closed-loop systems.
Book Synopsis Stability of Runge-Kutta methods for stiff nonlinear differential equations by : K. Dekker
Download or read book Stability of Runge-Kutta methods for stiff nonlinear differential equations written by K. Dekker and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: