Bjorstad, P., University of Bergen, Norway
Luskin, M., University of Minnesota, Minneapolis, MN, USA
(Eds.)Parallel Solution of Partial Differential Equations
2000. Approx. 315 pp. 68 figs.
0-387-95008-7
The papers in this volume are based on lectures given at the IMA workshop on the Parallel Solution of PDE
during June 9-13, 1997. The numerical solution of partial differential equations has been of major importance to the development of many technologies and has been the target of much of the development of parallel computer hardware and software. Parallel computer offers the promise of greatly increased performance and the routine calculation of previously intractable problems.
This volume contains papers on the development and assessment of new approximation and solution techniques that can take advantage of parallel computers. It will be of interest to applied mathematicians, computer scientists, and engineers concerned with investigating the state of the art and future directions in numerical computing. Topics include domain decomposition methods, parallel multi-grid methods, front tracking methods, sparse matrix techniques, adaptive methods, fictitious domain methods, and novel time and space discretizations. Applications discussed include fluid dynamics, radiative transfer, solid mechanics, and semiconductor simulation.
Contents: Foreword.- Preface.- Iterative substructuring methods for spectral element discretizations of elliptic
systems in three dimensions.- Parallel linear stationary iterative methods.- Adaptive finite element methods for
domain decomposition on nonmatching grids.- Solution of multi-dimensional radiative transfer problems on parallel computers.- A Lagrange multiplier/fictitious domain/collocation method for solid-liquid flows.- Multidimensional parallel spectral solver for Navier-Stokes equations.- An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows.- Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions.- Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations.- Scalable Poisson and VLSI biharmonic solvers.- Prospects for CFD on petaflops systems.- Additive Schwarz for anisotropic elliptic problems.- List of participants.
Series: The IMA Volumes in Mathematics and its Applications.VOL. 120
Fields: Numerical Analysis and Computation
Written for: Applied mathematicians, computer scientists, engineers
Book category: Proceedings
Publication language: English
Bungartz, H.-J., Technische Universitat Munchen, Germany
Hoppe, R.H.W., University of Augsburg, Germany
Zenger, C., Technische Universitat Munchen, Germany
(Eds.)Lectures on Applied Mathematics
Proceedings of the symposium organized by the Sonderforschungsbereich 438 "Mathematical Modelling, Simulation and Intelligent Systems" on the occasion of Karl-Heinz Hoffmann's 60th birthday, Munich, June 30 - July 1, 1999
2000. X, 320 pp. 98 figs.
3-540-66734-2
This volume contains the proceedings of an international symposium on applied and computational mathematics held in Munich in July 1999 and organized by the Collaborative Research Centre "Mathematical Modelling, Simulation, and Verification in Material-Orientated Processes and Intelligent Systems" (SFB 438) on the occasion of Karl-Heinz Hoffmann's 60th birthday.
The 19 contributions from both members of the SFB and invited experts in mathematical modelling and numerical simulation cover various topics from scientific computing, ranging from numerical linear algebra to fields of applications such as turbulent flows, free boundaries, phase transitions, shape memory alloys, and others.
Keywords: applied mathematics, mathematical modelling, numerical simulation, scientific computing, adaptive
materials
Contents: 12 Invited Contributions by A. Friedman, W. Hackbusch, B. Khoromskij, S.A. Sauter, M. Luskin, T.
Roubicek, I. M?ller, P. Krejci, J. Sprekels, S. Zheng, J.-F. Rodrigues, M. Niezgodka, J.R. Ockendon, A.
Fasano, F. Rosso, A. Fursikov, M. Gunzburger, L.S. Hou, S. Manservisi, P. Knabner, and B. Igler.
7 Contributions from the SFB 438 by A. Neff, A. Kuhn, H. Schieferstein, A.M. Hinz, E. Wilczok, G. M?hlberger,
H.-F. Zeilhofer, R. Sader, D. Deppe, H.-H. Horch, M. Brokate, W. Merz, S.G. Mayr, M. Moske, K. Samwer,
R.H.W. Hoppe, G. Mazurkevitch, U. Rettig, O. von Stryk, M. Manhart, R. Friedrich, A. Lucic, F. Meier, H.-J.
Bungartz, F. Mayinger, and C. Zenger.
Fields: Differential,Difference and Integral Equations; Computational Mathematics and Scientific
Computing; Materials Science
Written for: Scientists and researchers at universities and in industry
Book category: Proceedings
Publication language: English
Pinheiro, J., Bell Laboratories, Murray Hill, NJ, USA
Bates, D.M., University of Wisconsin, Madison, WI, USAMixed Effects Models in S and S-PLUS
2000. Approx. 550 pp.
0-387-98957-9
An overview of the theory and application of linear and nonlinear mixed-effects models in the analysis of grouped data, such as longitudinal data, repeated measures, and multilevel data. The authors present a unified
model-building strategy for both models and apply this to the analysis of over 20 real datasets from a wide variety of areas, including pharmacokinetics, agriculture, and manufacturing. Much emphasis is placed on the use of graphical displays at the various phases of the model-building process, starting with exploratory plots of the data and concluding with diagnostic plots to assess the adequacy of a fitted model. The NLME library for analyzing mixed-effects models in S and S-PLUS, developed by the authors, provides the underlying software for implementing the methods presented. This balanced mix of real data examples, modeling software, and theory makes the book a useful reference for practitioners who use, or intend to use, mixed-effects models in their data analyses. It can also be used as a text for a one-semester graduate-level applied course.
Contents: Linear Mixed-Effects.- Theory and Computational Methods for LME Models.- Structure of Grouped
Data.- Fitting LME Models.- Extending the Basic LME Model.- Nonlinear Mixed-Effects.- Theory and
Computational Methods for NLME Models.- Fitting NLME Models.
Series: Statistics and Computing.
Fields: Statistics, general
Written for: Researchers, practitioners, graduate students
Book category: Monograph
Publication language: English
Cherkaev, A., The University of Utah, Salt Lake City, UT, USA
Variational Methods for Structural Optimum
2000. Approx. 560 pp. 90 figs.
0-387-98462-3
This book describes the fast developing area (sometimes called structural optimization or theory of bounds of
effective properties) which lies between calculus of variations, the homogenization theory, and optimal design.
The book should appeal to both engineers and applied mathematicians working in this area.
Contents: I Preliminaries. Introduction. Non-Convex Variational Problems.- II Optimization of Conducting
Composites.- Conducting Composites. Conducting Composites of Extremal Energy. Optimization of Arbitrary Goal Functional.- III Quasiconvex Envelope. Quasiconvex Envelope. Lower Bound: Translation Method. Minimizing Sequences. Algebra of Laminates. Upper Bounds and Extensions.- IV Optimal Design of Elastic Constructions. Elasticity of Inhomogeneous Media. Elastic Mixtures of Extermal Rigidity. Plane Problem. Optimal Design.- V Gm Closures.- Bounds On G-Closures.
Series: Applied Mathematical Sciences.VOL. 140
Fields: Mechanics; Optimization and Optimal Control; Calculus of Variations and Control Theory
Written for: Researchers
Book category: Monograph
Publication language: English
Fischer, D., Konigswinter, Germany
Mission Jupiter
The Spectacular Journey of the Galileo Space Probe
2000. Approx. 270 pp. 128 figs., 42 in color.
0-387-98764-9
In this exciting story of the Galileo mission to investigate Jupiter, noted astronomer Daniel Fischer weaves
together the many disparate facts learned about this most fascinating planet and its satellites.
Fischer tells the entire story of Galileo: a behind-the-scenes look at its difficult course from idea to reality; its
launch; the problems it encountered early on and how these were resolved; and finally, what will become of the
probe. Along the way, the author describes what we have learned about Jupiter, including what the Jovian
atmosphere is really like, and the peculiar reality of the planet magnetic field.
The story of the journey to Jupiter is combined with interesting details about Galileo capacities and a graphic
description of the solar system, with an episode on how Galileo would judge the chances of finding life on Earth.
The book concludes with a look at the future, closing on the Cassini probe to Saturn. Beautifully illustrated and
well written, Mission Jupiter shows us space exploration at its best and clearly and vividly conveys the essentialscience.
Fields: Astronomy/Astrophysics
Written for: General readers, astronomers
Book category: Nonfiction
Publication language: English