November 2002, ISBN 1-4020-7302-X, Hardbound
Book Series: OPERATIONS RESEARCH/COMPUTER
SCIENCE INTERFACES :
Volume 22
The Network Interdiction Problem has a wide
variety of
applications in areas such as transportation,
but more recently
and very prominently, it has applications
in the communications
area. Network Interdiction and Stochastic
Integer Programming
focuses on problems associated with protecting
and attacking
computer, transportation, and social networks.
These research
areas gain importance as the world becomes
more dependent on
interconnected systems. Optimization models
that address the
stochastic nature of the problems are an
important part of the
book and it contains discussion of recent
efforts to provide
methods for addressing stochastic mixed integer
programs.
The book is organized with interdiction papers
first and the
stochastic programming papers in the second
part. See the
foreword by Roger Wets for further details
on the topical
coverage. Each chapter represents state-of-the-art
research and
all chapters have been carefully peer-reviewed.
December 2002, ISBN 1-4020-1014-1, Hardbound
The Lerch zeta-function is the first monograph
on this topic,
which is a generalization of the classic
Riemann, and Hurwitz
zeta-functions. Although analytic results
have been presented
previously in various monographs on zeta-functions,
this is the
first book containing both analytic and probability
theory of
Lerch zeta-functions.
The book starts with classical analytical
theory (Euler gamma-functions,
functional equation, mean square). The majority
of the presented
results are new: on approximate functional
equations and its
applications and on zero distribution (zero-free
regions, number
of nontrivial zeros etc). Special attention
is given to limit
theorems in the sense of the weak convergence
of probability
measures for the Lerch zeta-function. From
limit theorems in the
space of analytic functions the universitality
and functional
independence is derived. In this respect
the book continues the
research of the first author presented in
the monograph Limit
Theorems for the Riemann zeta-function, published
by Kluwer
Academic Publishers in 1996.
This book will be useful to researchers and
graduate students
working in analytic and probabilistic number
theory, and can also
be used as a textbook for postgraduate students.
December 2002, ISBN 1-4020-1025-7, Hardbound
Book Series: MATHEMATICS AND ITS APPLICATIONS
: Volume 553
Algebras of bounded operators are familiar,
either as C*-algebras
or as von Neumann algebras. A first generalization
is the notion
of algebras of unbounded operators (O*-algebras),
mostly
developed by the Leipzig school and Japanese
mathematicians. This
is the first textbook to go one step further
by considering
systematically partial *-algebras of unbounded
operators (partial
O*-algebras) and the underlying algebraic
structure, namely,
partial *-algebras.
The first part of the text begins with partial
O*-algebras
covering basic properties and topologies
with many examples and
accumulates in the generalization to this
new framework of the
celebrated modular theory of Tomita-Takesaki,
one of the
cornerstones for the applications to statistical
physics.
The text then focuses on abstract partial
*-algebras and their
representation theory, again obtaining generalizations
of
familiar theorems, for example Radon-Nikodym
and Lebesgue.
Partial *-algebras of operators on Rigged
Hilbert Spaces are also
considered. The last chapter discusses some
applications in
mathematical physics, for example quantum
field theory and spin
systems.
This book will be of interest to graduate
students or researchers
in pure mathematics as well as mathematical
physicists.
December 2002, ISBN 0-306-47426-3, Hardbound
Proceedings of the second conference on Applied
Mathematics and
Scientific Computing, held June 4-9, 2001
in Dubrovnik, Croatia.
The main idea of the conference was to bring
together applied
mathematicians both from outside academia,
as well as experts
from other areas (engineering, applied sciences)
whose work
involves advanced mathematical techniques.
During the meeting there were one complete
mini-course, invited
presentations, contributed talks and software
presentations. A
mini-course Schwarz Methods for Partial Differential
Equations
was given by Prof Marcus Sarkis (Worcester
Polytechnic Institute,
USA), and invited presentations were given
by active researchers
from the fields of numerical linear algebra,
computational fluid
dynamics , matrix theory and mathematical
physics (fluid
mechanics and elasticity).
This volume contains the mini-course and
review papers by invited
speakers (Part I), as well as selected contributed
presentations
from the field of analysis, numerical mathematics,
and
engineering applications.
Contents and Contributors
Part I: Invited lectures. Domain Decomposition
Methods; M. Sarkis.
Modification and Maintenance of ULV Decompositions;
J.L. Barlow.
Advances in Jacobi Methods; Z. Drmac, V.
Hari, I. Slapnicar.
Modelling of curved rods; M. Jurak, J. Tamba
a, Z. Tutek.
Incompressible Newtonian flow through thin
pipes; E. Maru?ic-Paloka.
Nonlinear Problems in Dynamics by the Finite
Element in Time
Method; N. Kranjcevic, M. Stegic, N. Vrankovic.
First Order
Eigenvalue Perturbation Theory and the Newton
Diagram; J. Moro, F.M.
Dopi. Part II: Contributed lectures. Microlocal
energy density
for hyperbolic systems; N. Antonic, M. Lazar.
Approximate
solutions to some second order linear recurrences;
K. Balla, V.
Horvat. Asymptotic Behaviour of Tension Spline
Collocation
Matrix; I. Bero?, M. Maru?ic. Numerical stability
of Krylov
subspace iterative methods for solving linear
systems; N. Bosner.
Nonlinear Problems in Dynamics by the Finite
Element in Time
Method; N. Kranjcevic, M. Stegic, N. Vrankovic.
On directional
bias of the Lp-norm; T. Maro?evic. A note
on slip condition on
corrugated boundary; E. Maru?ic-Paloka. Relaxation
of some energy
functionals related to the formation of microstructure;
A. Raguz.
A Coarse Space for Elasticity; M. Sarkis.
Numerical
Approximations of the Sediment Transport
Equations; L. Sopta, N.
Crnjaric-Zic, S. Vukovic. A model of irregular
curved rods; J.
Tambaca. Existence of the density of states
for some alloy type
models with single site potentials that change
sign; I. Veselic.
On principal eigenvalue of stationary diffusion
problem with
nonsymmetric coefficients; M. Vrdoljak. Qualitative
Analysis of
some Solutions of Quasilinear System of Differential
Equations; B.
Vrdoljak, A. Omerspahic. High-Order ENO and
WENO Schemes with
Flux Gradient and Source Term Balancing;
S. Vukovic, L. Sopta.
Index.
Description
This book outlines the basic concepts of
linear optimization and
some classic, polynomially solvable network
optimization problems.
Principal topics include the simplex method,
Karmarkar's
algorithm, and network flow problems.
One unique feature is that it is written
in both German and
English. So teaching mathematical optimization
can be combined
with introducing English as a technical language
or vice versa.
This is particularly useful for students
preparing for a language
exam in a Ph.D. program. This bilingual edition
also allows
readers of either language to read this book.
Contents
Introduction and applications
The simplex method
Duality and further variations of the simplex
method
Interior point methods: Karmarkar's projective
algorithm
Introduction to graph theory and shortest
spanning trees
Shortest path problems
Network flow problems
Matchings
References
Stichwortverzeichnis
Index
Details:
Publication Year: 2002
ISBN: 3-528-03155-7
Paging: 240 pp.
Binding: Softcover
Description
This book introduces the fundamental properties
of hyperbolic
partial differential equations with applications
to mathematical
modelling. Based on a summer school held
at the Technical
University of Hamburg-Harburg (Germany),
it includes articles
from leading experts in mathematics, physics,
and engineering. It
gives a unique presentation of concepts regarding
the numerical
treatment of hyperbolic partial differential
equations--from
basic algorithms through actual research.
Numerical methods
discussed include central and upwind schemes
for structured and
unstructured grids based on ENO and WENO
reconstructions,
pressure corrections methods like SIMPLE
and PISO, as well as
asymptotic-induced algorithms for low Mach
number flows.
Contents
Hyperbolic conservation laws and industrial
applications
Bibliography
Central schemes and systems of balance laws
Bibliography
Methods on unstructured grids, WENO and ENO
recovery techniques
Bibliography
Pressure-correction methods for all flow
speeds
Bibliography
Computational fluid dynamics and aeroacoustics
for low Mach
number flow
Bibliography
Details:
Publication Year: 2002
ISBN: 3-528-03188-3
Paging: 320 pp.
Binding: Hardcover