Download or read book Recent Studies of Computational Stability written by Joseph P. Gerrity and published by . This book was released on 1970 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigations of the computational stability of finite difference formulations of the equations governing shallow water, non-linear gravitational oscillations are reported. The investigations consist of empirical analyses of the results of numerical integration of the quasi-two-dimensional and fully two-dimensional versions of the equations. the results obtained in the quasi-two-dimensional experiments suggested the formulation of filters for use in approximating the non-linear terms. By filtering certain high frequency non-linear interactions, it is found possible to archive relatively well-behaved long term integrations. A number of efforts to extend this result to the fully two-dimensional equations are indicated. One procedure was found to be practically successful, but is finally rejected on the basis of the instability of its linear counterpart. The paper concludes a critique of possible extensions of the investigation.
Download or read book Accuracy and Stability of Numerical Algorithms written by Nicholas J. Higham and published by SIAM. This book was released on 2002-01-01 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Download or read book A Study of Non linear Computational Instability for a Two dimensional Model written by Paul D. Polger and published by . This book was released on 1971 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Protein Structure written by Eshel Faraggi and published by BoD – Books on Demand. This book was released on 2012-04-20 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the dawn of recorded history, and probably even before, men and women have been grasping at the mechanisms by which they themselves exist. Only relatively recently, did this grasp yield anything of substance, and only within the last several decades did the proteins play a pivotal role in this existence. In this expose on the topic of protein structure some of the current issues in this scientific field are discussed. The aim is that a non-expert can gain some appreciation for the intricacies involved, and in the current state of affairs. The expert meanwhile, we hope, can gain a deeper understanding of the topic.
Download or read book Recent Research in Numerical Methods at the National Meterorological Center written by Ronald D. McPherson and published by . This book was released on 1971 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Simplified And Highly Stable Lattice Boltzmann Method Theory And Applications written by Zhen Chen and published by World Scientific. This book was released on 2020-09-15 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique professional volume is about the recent advances in the lattice Boltzmann method (LBM). It introduces a new methodology, namely the simplified and highly stable lattice Boltzmann method (SHSLBM), for constructing numerical schemes within the lattice Boltzmann framework. Through rigorous mathematical derivations and abundant numerical validations, the SHSLBM is found to outperform the conventional LBM in terms of memory cost, boundary treatment and numerical stability.This must-have title provides every necessary detail of the SHSLBM and sample codes for implementation. It is a useful handbook for scholars, researchers, professionals and students who are keen to learn, employ and further develop this novel numerical method.
Download or read book Domain Decomposition Methods in Science and Engineering written by Ralf Kornhuber and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry. A series of international conferences starting in 1987 set the stage for the presentation of many meanwhile classical results on substructuring, block iterative methods, parallel and distributed high performance computing etc. This volume contains a selection from the papers presented at the 15th International Domain Decomposition Conference held in Berlin, Germany, July 17-25, 2003 by the world's leading experts in the field. Its special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.
Download or read book Numerical Weather Prediction Activities written by United States. National Weather Service and published by . This book was released on 1971 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Weather Prediction Activities written by National Meteorological Center (U.S.) and published by . This book was released on 1970 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability Analysis and Nonlinear Observer Design using Takagi Sugeno Fuzzy Models written by Zsófia Lendek and published by Springer Science & Business Media. This book was released on 2010-10-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in decision making, monitoring, fault detection, and control require the knowledge of state variables and time-varying parameters that are not directly measured by sensors. In such situations, observers, or estimators, can be employed that use the measured input and output signals along with a dynamic model of the system in order to estimate the unknown states or parameters. An essential requirement in designing an observer is to guarantee the convergence of the estimates to the true values or at least to a small neighborhood around the true values. However, for nonlinear, large-scale, or time-varying systems, the design and tuning of an observer is generally complicated and involves large computational costs. This book provides a range of methods and tools to design observers for nonlinear systems represented by a special type of a dynamic nonlinear model -- the Takagi--Sugeno (TS) fuzzy model. The TS model is a convex combination of affine linear models, which facilitates its stability analysis and observer design by using effective algorithms based on Lyapunov functions and linear matrix inequalities. Takagi--Sugeno models are known to be universal approximators and, in addition, a broad class of nonlinear systems can be exactly represented as a TS system. Three particular structures of large-scale TS models are considered: cascaded systems, distributed systems, and systems affected by unknown disturbances. The reader will find in-depth theoretic analysis accompanied by illustrative examples and simulations of real-world systems. Stability analysis of TS fuzzy systems is addressed in detail. The intended audience are graduate students and researchers both from academia and industry. For newcomers to the field, the book provides a concise introduction dynamic TS fuzzy models along with two methods to construct TS models for a given nonlinear system
Download or read book Research Progress and Plans written by United States. Weather Bureau and published by . This book was released on 1964 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability and Control of Time delay Systems written by Luc Dugard and published by Springer. This book was released on 1997-10-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the last decade has witnessed significant advances in control theory for finite and infinite dimensional systems, the stability and control of time-delay systems have not been fully investigated. Many problems exist in this field that are still unresolved, and there is a tendency for the numerical methods available either to be too general or too specific to be applied accurately across a range of problems. This monograph brings together the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.
Download or read book U S Government Research Reports written by and published by . This book was released on 1963 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Trends in Theoretical Computer Science written by Gheorghe Paeaun and published by World Scientific. This book was released on 2004 with total page 1319 pages. Available in PDF, EPUB and Kindle. Book excerpt: contents: vol 1 : Algorithms; Computational Complexity; Distributed Computing; Natural Computing.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Practical Bifurcation and Stability Analysis written by Rüdiger U. Seydel and published by Springer Science & Business Media. This book was released on 2009-11-27 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.
Download or read book The Concept of Stability in Numerical Mathematics written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2014-02-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
