This book consists of 37 articles dealing
with simulation of
incompressible flows and applications in
many areas. It covers
numerical methods and algorithm developments
as well as
applications in aeronautics and other areas.
It represents the
state of the art in the field.
Contents:
Navier-Stokes Solvers
Projection Methods
Finite Element Methods
Higher-Order Methods
Innovative Methods
Applications in Aeronautics
Applications Beyond Aeronautics
Multiphase and Cavitating Flows
Special Topics
Readership: Researchers and graduate students
in computational
science and engineering.
708pp Pub. date: Jan 2003
ISBN 981-238-317-4
Over the past 20 years, the theory of groups
? in particular
simple groups, finite and algebraic ? has
influenced a number of
diverse areas of mathematics. Such areas
include topics where
groups have been traditionally applied, such
as algebraic
combinatorics, finite geometries, Galois
theory and permutation
groups, as well as several more recent developments.
Among the
latter are probabilistic and computational
group theory, the
theory of algebraic groups over number fields,
and model theory,
in each of which there has been a major recent
impetus provided
by simple group theory. In addition, there
is still great
interest in local analysis in finite groups,
with substantial new
input from methods of geometry and amalgams,
and particular
emphasis on the revision project for the
classification of finite
simple groups.
This important book contains 20 survey articles
covering many of
the above developments. It should prove invaluable
for those
working in the theory of groups and its applications.
Contents:
Curtis?Phan?Tits Theory (C D Bennett et al.)
Derangements in Simple and Primitive Groups
(J Fulman & R
Guralnick)
Computing with Matrix Groups (W M Kantor
& A Seress)
Bases of Primitive Permutation Groups (M
W Liebeck & A Shalev)
Modular Subgroup Arithmetic (T W Muller)
Counting Nets in the Monster (S P Norton)
Overgroups of Finite Quasiprimitive Permutation
Groups (C E
Praeger)
Old Groups Can Learn New Tricks (L Pyber)
Structure and Presentations of Lie-Type Groups
(F G Timmesfeld)
Computing in the Monster (R A Wilson)
and other papers
Readership: Graduate students, researchers
and academics in
algebra.
300pp (approx.) Pub. date: Scheduled Spring
2003
ISBN 981-238-312-3
Quantum Probability and White Noise Analysis
- Vol. 16
Infinite-dimensional analysis and quantum
probability have
undergone significant developments in the
last few years and
created many applications. This volume includes
four expository
articles on recent developments in quantum
field theory, quantum
stochastic differential equations, free probability
and quantum
white noise calculus, which are targeted
also for graduate study.
The fourteen research papers deal with most
of the current
topics, and their interconnections reflect
a vivid development in
interacting Fock space, infinite-dimensional
groups, stochastic
independence, non-commutative central limit
theorems, stochastic
geometry, and so on.
Contents:
Mathematical Theory of Quantum Particles
Interacting with a
Quantum Field (A Arai)
H-P Quantum Stochastic Differential Equations
(F Fagnola)
Quantum White Noise Calculus (U C Ji &
N Obata)
Can "Quantumness" Be an Origin
of Dissipation? (T
Arimitsu)
What is Stochastic Independence? (U Franz)
Creation?Annihilation Processes on Cellar
Complecies (Y Hashimoto)
Fock Space and Representation of Some Infinite-Dimensional
Groups
(T Matsui & Y Shimada)
Free Product Actions and Their Applications
(Y Ueda)
Remarks on the s-Free Convolution (H Yoshida)
and other papers
Readership: Researchers and graduate students
in analysis &
differential equations, probability &
statistics,
mathematical physics and quantum physics.
448pp Pub. date: Jan 2003
ISBN 981-238-297-6
Quantum Probability and White Noise Analysis
- Vol. 17
This volume includes new topics such as the
stochastic limit
approach to nonequilibrium states, a new
algebraic approach to
relativistic nonequilibrium local states,
classical and quantum
features of weak chaos, transports in quantum
billiards, the
Welcher?Weg puzzle with a decaying atom,
and the topics related
to the quantum Zeno effect.
Contents:
Quantum Open Systems:
Onsager Relation with the "Slow"
Degrees of the Field
in the White Noise Equation Based on Stochastic
Limit (L Accardi
et al.)
Nonequilibrium Local States in Relativistic
Quantum Field Theory
(I Ojima)
Fluctuation Theorem, Nonequilibrium Steady
States and
MacLennan?Zubarev Ensembles of a Class of
Large Quantum Systems (S
Tasaki & T Matsui)
Quantum Chaology:
Weak Chaos: Classical and Quantum Features
(R Artuso)
Quantum Transport in Quantum Billiards: From
Kelvin Through
Arnold (K Nakamura)
On Quantum?Classical Correspondence and Chaos
Degree for Baker's
Map (K Inoue et al.)
Quantum Measurements and Related Topics:
Welcher?Weg Puzzle with a Decaying Atom (S
Takagi)
Unstable Systems and Quantum Zeno Phenomena
in Quantum Field
Theory (P Facchi & S Pascazio)
Quantum Decomposition and Quantum Central
Limit Theorem (A Hora
& N Obata)
and other papers
Readership: Researchers in probability &
statistics, quantum
physics, stochastic theory, mathematical
physics and nonlinear
science.
350pp (approx.) Pub. date: Scheduled Spring
2003
ISBN 981-238-295-X
Series on Knots and Everything - Vol. 33
Energy of knots is a theory that was introduced
to create a
"canonical configuration" of a
knot ? a beautiful knot
which represents its knot type. This book
introduces several
kinds of energies, and studies the problem
of whether or not
there is a "canonical configuration"
of a knot in each
knot type. It also considers this problems
in the context of
conformal geometry. The energies presented
in the book are
defined geometrically. They measure the complexity
of embeddings
and have applications to physical knotting
and unknotting through
numerical experiments.
Contents:
In Search of the "Optimal Embedding"
of a Knot:
a-Energy Functional E(a)
On E(2)
Lp Norm Energy with Higher Index
Numerical Experiments
Energy of Knots in a Riemannian Manifold
Geometrically Defined Knot Energies
Energy of Knots from a Conformal Geometric
Viewpoint:
Preparation from Conformal Geometry
The Space of Non-Trivial Spheres of a Knot
The Infinitesimal Cross Ratio
The Conformal Sin Energy Esin q
Measure of Non-Trivial Spheres
Appendices: Generalization of the Gauss Formula
for the Linking
Number
The 3-Tuple Map to the Set of Circles in
S3
Conformal Moduli of a Solid Torus
Kirchhoff Elastica
Open Problems and Dreams
Readership: Graduate students and researchers
in geometry &
topology and numerical & computational
mathematics.
300pp (approx.) Pub. date: Scheduled Spring
2003
ISBN 981-238-316-6