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Afternotes Goes to Graduate School
Author: G. W. Stewart
Publisher: SIAM
Published: 1998-01-01
Total Pages: 229
ISBN-13: 0898714044
DOWNLOAD EBOOK →Afternotes on Numerical Analysis is the result of the author writing down his notes immediately after giving each lecture.
Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
Author: B. Cockburn
Publisher: Springer
Published: 2006-11-14
Total Pages: 446
ISBN-13: 3540498044
DOWNLOAD EBOOK →This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.
Afternotes Goes to Graduate School
Author: G. W. Stewart
Publisher: Society for Industrial and Applied Mathematics
Published: 1987-01-01
Total Pages: 0
ISBN-13: 9780898714043
DOWNLOAD EBOOK →In this follow-up to Afternotes on Numerical Analysis (SIAM, 1996) the author continues to bring the immediacy of the classroom to the printed page. Like the original undergraduate volume, Afternotes Goes to Graduate School is the result of the author writing down his notes immediately after giving each lecture; in this case the afternotes are the result of a follow-up graduate course taught by Professor Stewart at the University of Maryland. The algorithms presented in this volume require deeper mathematical understanding than those in the undergraduate book, and their implementations are not trivial. Stewart uses a fresh presentation that is clear and intuitive as he covers topics such as discrete and continuous approximation, linear and quadratic splines, eigensystems, and Krylov sequence methods. He concludes with two lectures on classical iterative methods and nonlinear equations.
Lectures on Numerical Mathematics
Author: H. Rutishauser
Publisher: Springer Science & Business Media
Published: 1991
Total Pages: 576
ISBN-13:
DOWNLOAD EBOOK →The present book is an edition of the manuscripts to the courses "Numerical Methods I" and "Numerical Mathematics I and II" which Professor H. Rutishauser held at the E.T.H. in Zurich. The first-named course was newly conceived in the spring semester of 1970, and intended for beginners, while the two others were given repeatedly as elective courses in the sixties. For an understanding of most chapters the funda mentals of linear algebra and calculus suffice. In some places a little complex variable theory is used in addition. However, the reader can get by without any knowledge of functional analysis. The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares prob lems, interpolation by polynomials, numerical quadrature, and approxima tion by Chebyshev series and by Remez' algorithm. The remaining chapters include the treatment of ordinary and partial differential equa tions, the iterative solution of linear equations, and a discussion of eigen value problems. In addition, there is an appendix dealing with the qd algorithm and with an axiomatic treatment of computer arithmetic.
A First Course in the Numerical Analysis of Differential Equations
Author: A. Iserles
Publisher: Cambridge University Press
Published: 2009
Total Pages: 481
ISBN-13: 0521734908
DOWNLOAD EBOOK →lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Engineering Reliability
Author: Richard E. Barlow
Publisher: Society for Industrial and Applied Mathematics
Published: 1987-01-01
Total Pages: 219
ISBN-13: 9780898714050
DOWNLOAD EBOOK →Engineering reliability concerns failure data analysis, the economics of maintenance policies, and system reliability. This textbook develops the use of probability and statistics in engineering reliability and maintenance problems. The author uses probability models in the analysis of failure data, decisions relative to planned maintenance, and prediction relative to preliminary design. Some of the outstanding features include the analysis of failure data for both continuous and discrete probability from a finite population perspective, probability models derived from engineering considerations, an introduction to influence diagrams and decision making, and use of the operational Bayesian approach. The approach is fresh and interesting; it is motivated from problems in engineering and physical sciences and uses examples to illustrate the methodology. These examples, along with the use of real failure time data, will help the reader apply the techniques to real industrial situations.
Advanced Topics in Computational Partial Differential Equations
Author: Hans Petter Langtangen
Publisher: Springer Science & Business Media
Published: 2012-09-22
Total Pages: 676
ISBN-13: 3642182372
DOWNLOAD EBOOK →A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.
Computational Mathematics, Numerical Analysis and Applications
Author: Mariano Mateos
Publisher: Springer
Published: 2017-08-03
Total Pages: 254
ISBN-13: 331949631X
DOWNLOAD EBOOK →The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances.
A Brief Introduction to Numerical Analysis
Author: Evgeniĭ Evgenʹevich Tyrtyshnikov
Publisher: Springer Science & Business Media
Published: 1997
Total Pages: 220
ISBN-13: 9780817639167
DOWNLOAD EBOOK →This is an advanced textbook based on lectures given at the Moscow Physico-Technical Institute. The lectures are characterized by brevity, logical organization, and occasionally a lighthearted approach. It aims to involve the reader by asking questions, hinting, giving recommendations, comparing different methods, and discussing optomistic and pessemistic approaches to numerical analysis.
