Chipot, M., University of Zurich, Switzerland
l goes to plus infinity
Birkhauser Advanced Texts
2001. Approx. 192 pages. Hardcover
ISBN 3-7643-6646-X
English
This graduate textbook accompanies the reader starting from the basics in the theory of elliptic problems to recent research topics concerning the asymptotic theory in cylindrical domains where many physical problems are settled. It is a valuable resource for graduates and researchers in applied mathematics and for engineers.
Many physical problems are meaningfully formulated in a cylindrical domain. When the size of the cylinder goes to infinity, the solutions, under certain symmetry conditions, are expected to be identical in every cross-section of the domain. The proof of this, however, is sometimes difficult and almost never given in the literature. The present book partially fills this gap by providing proofs of the asymptotic behaviour of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations.
The book is a valuable resource for graduates and researchers in applied mathematics and for engineers. Many results presented here are original and have not been published elsewhere. They will motivate and enable the reader to apply the theory to other problems in partial differential equations.
Freistuhler, H., Max-Planck-Institut fur Mathematik in den Naturwissenschaften, Leipzig, Germany, Warnecke, G., Universitat Magdeburg, Germany, (Eds.)
Hyperbolic Problems: Theory, Numerics, Applications
Eighth International Conference in Magdeburg, February/March 2000,
Set Volumes I and II
International Series of Numerical Mathematics vol.140/141
Set Volumes I and II
ISNM 140/141
2001. Approx. 976 pages. Hardcover
ISBN 3-7643-6711-3
English
Volume I
ISNM 140
2001. Approx. 488 pages. Hardcover
ISBN 3-7643-6709-1
English
Volume II
ISNM 141
2001. Approx. 488 pages. Hardcover
ISBN 3-7643-6710-5
English
Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed.
This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems.
Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.
Good, P.I., Information research, Huntington Beach, USA
Resampling Methods
A Practical Guide to Data Analysis, Second Edition
2001. Approx. 270 pages. Hardcover
ISBN 3-7643-4243-9
English
The goal of this book is to introduce statistical methodology-estimation, hypothesis, testing and classification-to a wide applied audience through resampling from existing data via the bootstrap, and estimation or cross-validation methods.
The book provides an accessible introduction and practical guide to the power, simplicity and veritability of the bootstrap, cross-validation and permutation tests. Industrial statistical consultants, professionals and researchers will find the book's methods and software imimediately helpful.
This Second edition is a practical guide to data analysis using the bootstrap, cross-validation, and permutation tests. It is an essential resource for industrial statisticians, statistical consultants, and research professionals in science, engineering, and technology.
Only requiring minimal mathematics beyond algebra, it provides a table-free introduction to data analysis utilizing numerous exercizes, practical data sets, and freely available statistical shareware.
With its accessable style and intuitive topic development, the book is an excellent basic resource and guide to the power, simplicity and versatility of bootstrap, cross-validation and permutation tests. Students, professionals, and researchers will find it a particularly useful guide to modern resampling methods and their applications.
1. Descriptive Statistics, 2. Testing an Hypothesis, 3. Hypothesis Testing, 4. When the Distribution is Known, 5. Estimation, 6. Power of a Test, 7. Categorical Data, 8. Experimental Design and Analysis, 9. Multiple Variables and Multiple Hypotheses, 10. Model Building, 11. Which Technique Should I use?
Bottcher, A., TU Chemnitz, Germany, Karlovich, Y.I., CINVESTAV, Mexico, Spitkovsky, I.M., College of William and Mary, Williamsburg, USA
Convolution Operators and Factorization
of Almost Periodic Matrix Functions
Operator Theory: Advances and Applications, 131
2002. Approx. 476 pages. Hardcover
ISBN 3-7643-6672-9
English
This book is an introduction to convolution operators with matrix-valued almost periodic or semi-almost periodic symbols.
The basic tools for the treatment of the operators are Wiener-Hopf factorization and almost periodic factorization. These factorizations are systematically investigated and explicitly constructed for interesting concrete classes of matrix functions. The material covered by the book ranges from classical results through a first comprehensive presentation of the core of the theory of almost periodic factorization up to the latest achievements, such as the construction of factorizations by means of the Portuguese transformation and the solution of corona theorems.
The book is addressed to a wide audience in the mathematical and engineering sciences. It is accessible to readers with basic knowledge in functional, real, complex, and harmonic analysis, and it is of interest to everyone who has to deal with the factorization of operators or matrix functions.
Hoffmann, K.-H./ Lasiecka, I./ Leugering, G./ Sprekels, J./ Troltzsch, F. (Eds.)
Optimal Control of Complex Structures
International Series of Numerical Mathematics 139
2001. Approx. 288 pages. Hardcover
ISBN 3-7643-6682-6
English
This volume contains original articles by world reknowned experts in the Fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed.
The collection provides a state-of-the-art overview of the most challenging and exciting recent developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high technology problems in applied mathematics, fluid control, optimal design, and computer modelling.
Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine blades, shells, smart materials and microdiffractive optics.
This volume contains original articles by world reknowned experts in the fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed. The collection provides a state-of-the-art overview of the most challenging and exciting recent developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high technology problems in applied mathematics, fluid control, optimal design, and computer modelling.