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Pekka Neittaanmäki, Sergey Repin and Tero Tuovinen (Eds.). Mathematical Modeling and Optimization of Complex Structures; Series: Computational Methods in Applied Sciences. Springer International Publishing AG, Switzerland; 2016. E-book, XXI, 328 pages, ISBN: 9783319235646, Hard-cover ISBN: 9783319235639, Library of Congress Control Number: 2015947948, DOI . [ABSTRACT FROM AUTHOR]

Reviews the book "Standard Statistical Calculations," 2nd ed., by P.G. Moore, E.A. Shirley and D.E. Edwards.

This paper concerns the Lattice Boltzmann Method (LBM) which has recently become alternative, computationally efficient tool to simulate a Newtonian fluid flow, especially in complex geometries. A series of benchmark two-dimensional simulations with the LBM are presented and analyzed in order to assess the impact of the LBM grid refinement on the results of the simulations. The considered cases include stationary and time-dependent flows past a circular or a 45-degree rotated square cylinder confined in the channel with parallel walls. Next, the same flow configurations are investigated by means of the Spectral Element Method (SEM) and obtained results are used to cross-validate both approaches. The sensitivity to the resolution of representation of the obstacle's shape in the LBM simulations is of the main interest. Particular attention is paid also to the effects of compressibility of the flow. Additionally, for unsteady flows the transient flow characteristics are compared in detail: the velocity profiles from the LBM and SEM are presented and some non-dimensional characteristics such as Strouhal number of the compared von Karman vortex streets. [ABSTRACT FROM AUTHOR]

The article reviews the book "Conceptual and Numerical Analysis of Data: Proceedings of the 13th Conference of the Gesellschaft für Klassifikation e. V., University of Augsburg, April 10-12, 1989," edited by Otto Opitz.

Reviews the book "Numerical Recipes in Pascal: The Art of Scientific Computing," by William H. Press.

The article reviews the book "Shaum's Outline of Theory and Problems of Numerical Analysis," by Francis Scheid.

The article reviews the book "Numerical Analysis for Statisticians," Second Edition, by Kenneth Lange.

Given two rational maps φ and ψ on P1 of degree at least two, we study a symmetric, nonnegative real-valued pairing <φ, ψ> which is closely related to the canonical height functions hφ and hψ associated to these maps. Our main results show a strong connection between the value of <φ,ψ> and the canonical heights of points which are small with respect to at least one of the two maps φ and ψ. Several necessary and sufficient conditions are given for the vanishing of <φ, ψ>. We give an explicit upper bound on the difference between the canonical height hψ and the standard height hst in terms of <σ, ψ>, where σ(x) = x¹ denotes the squaring map. The pairing <σ, ψ> is computed or approximated for several families of rational maps ψ. [ABSTRACT FROM AUTHOR]

Reviews the book "An Introduction to Numerical Analysis," by Endre Süli and David Mayers.

This book caters to the needs of serious researchers, programmers, and scientists in the field of computational electromagnetics (CEM). The authors are both top-notch experts on this subject. With almost 400 pages of encyclopedic information, this is a full-size book containing a lot of rigorous and useful information. It is a good reference book and will be kept on a conveniently accessible shelf of every active CEM researcher?s bookcase. The title of the book alludes to CEM, but the information contained in the book may be useful in many other computational disciplines. Graglia and Peterson extensively worked on and published the core matter of this book for at least two decades; there is no question that they are the authoritative voices in this field, the book provides a comprehensive summary of the research performed by them. Because the authors have been drawing their applications from the CEM field, they titled the book accordingly. Nevertheless, the high-order techniques discussed spill over to other disciplines as well. The book contains several tables on interpolatory vector bases and hierarchical bases in an effort to present comprehensive and readily available systematized information to CEM programmers for rapid implementation of the higher-order basis functions described. The intended audience of this book is primarily CEM researchers and programmers and focuses on the high-level concepts pertaining to the inner workings of numerical solutions of integral and differential equations. As such, it is not an introductory text but may be used as a graduate-level textbook in specialized CEM courses concentrating on the higher-order discretizations of integral and/or differential equations. This text is particularly useful to those researchers who work with detailed mathematical formulations, numerical analysis, and actual coding. [ABSTRACT FROM PUBLISHER]

The article reviews the book "Numerical Modeling in Materials Science and Engineering," by M. Rappaz, M. Bellet, and M. Deville, translated by R. Snyder.

Reviews the book "Numerical Methods for Image Registration," by Jan Modersitzki.

Reviews the book 'Encyclopedia of epidemiologic methods,' edited by M.L. Gail and J. Benichou.

A review of a number of books on electromagnetics and computational electromagnetics is presented. [ABSTRACT FROM PUBLISHER]

The article reviews the book "The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains," by Zhilin Li and Kazufumi Ito.

This article reviews the book "Numerical Solution of SDE Through Computer Experiments," by P.E. Kloeden, E. Platen, and H. Schutz.

Reviews the book "Percentage Points of the Sum V1 (s) of s Roots (s = 1-50): A Unified Table for Tests of Significance in Various Univariate and Multivariate Hypotheses," by Tito A. Mijares.