INTERNATIONAL SOCIETY FOR ANALYSIS, APPLICATIONS
AND COMPUTATION Volume 5
The book contains review chapters as well
as state-of-the-art research chapters on
topics ranging from complex elliptic
first-order systems and second-order systems
with regular or singular coefficients to
overdetermined systems in several complex
variables and partial differential equations
in Clifford analysis.
Different boundary value problems are studied.
Applications to crack problems in elasticity
theory to cusped bars, plates, and
shells are given. Wavelet transformations
are constructed in Banach spaces and used
to identify complex analysis from the
viewpoint of geometry. Fixed-point problems,
even in abstract Banach spaces, are investigated
with respect to an optimal domain
of existence for the solution.
Audience: Researchers working in the field
as well as scientists interested in the applications.
Contents and Contributors
Preface. 1. A reflection principle and its
applications; J. Witte. 2.
On some problems for first order elliptic
systems in the plane; D.Q.
Dai. 3. Differential-operator solutions for
complex partial
differential equations; O. Celebi, S. Seng?l.
4. On a generalized
Riemann-Hilbert Boundary value problem for
second order elliptic
systems in the plane; M. Akal. 5. Boundary
value problems of the
theory of generalized analytic functions;
G. Manjavidze, G. Akhalaia.
6. On well-posedness of problems for nonclassical
systems of
equations; D.Kh. Safarov. 7. An application
of the periodic Riemann
boundary value problem to a periodic crack
problem; X. Li. 8. Initial
and boundary value problems for singular
differential equations and
applications to the theory of cusped bars
and plates; G. Jaiani. 9.
Multidimensional logarithmic residues and
their applications; L.A.
Aizenberg. 10. The Neumann problem for the
inhomogeneous
pluriharmonic system in polydiscs; A. Mohammed.
11. Second order
Cauchy-Pompeiu representations; H. Begehr.
12. On a class of
second order elliptic overdetermined systems;
A. Dzhuraev. 13.
Boundary spinors and values of holomorphic
functions; J. Cnops.
14. Two approaches to non-commutative geometry;
V.V. Kisil. 15.
Some partial differential equations in Clifford
analysis; E. Obolashvili.
16. Generalized monogenic functions satisfying
differential
equations with anti-monogenic right-hand
sides; W. Tutschke, U.
Y?ksel. 17. Complex analytic method for hyperbolic
equations of
second order; G.-C. Wen. 18. Remarks on the
solvability of Dirichlet
problems in different function spaces; F.
Rihawi. 19. Complex
methods in the theory of initial value problems;
W. Tutschke. 20.
Optimal balls for solving fixed-point problems
in Banach spaces; T.
Tutschke. 21. Wavelet transform of operators
and functional
calculus; V.V. Kisil.
Hardbound, ISBN 0-7923-6000-1
October 1999, 344 pp.
It is now clear that semi-Markov processes
play an increasingly crucial role in business
and industry; this is partially due to the
fact that, with the powerful mathematical
software now existing, the numerical treatment
of basic integral equations is easier and
so leads to more concrete applications; moreover
the development of topics such as non-homogeneous
models and statistical estimation make it
possible to construct more adequate models
of real-life problems and to calibrate the
basic parameters of the models more accurately
from real data.
This book presents many original models that
are or could be truly useful for applications
in real-life problems, and the editor hopes
that it will contribute to the stimulation
of new interactions between the theoretical
development and the applications of
semi-Markov models.
Audience: This book should constitute a basic
reference for researchers of this important
field of stochastic modelling.
Contents and Contributors
Preface. Part I: Extensions of Basic Models.
1. The Solidarity
of Markov Renewal Processes; R. Pyke. 2.
A Generalization of
Semi-Markov Processes; M. Iosifescu. 3. Quasi-stationary
Phenomena for Semi-Markov Processes; M. Gyllenberg,
D.S.
Silvestrov. 4. Semi-Markov Random Walks;
V.S. Korolyuk. 5.
Diffusion Approximation for Processes with
Semi-Markov Switches;
V.V. Anisimov. 6. Approximations for Semi-Markov
Single Ion
Channel Models; S.M. Pitts. Part II: Statistical
Estimation. 7.
Log-likelihood in Stochastic Processes; G.G.
Rousas, D.
Bhattacharya. 8. Some Asymptotic Results
and Exponential
Approximation in Semi-Markov Models; G.G.
Roussas, D.
Bhattacharya. 9. Markov Renewal Processes
and Exponential
Families; V.T. Stefanov. 10. On Homogeneity
of Two Semi-Markov
Samples; L. Afanasyeva, P. Radchenko. 11.
Product-Type
Estimator of Convolutions; I. Gertsbakh,
I. Spungin. 12. Failure Rate
Estimation of Semi-Markov Systems; B. Ouhbi,
N. Limnios. 13.
Estimation for Semi-Markov Manpower Models
in a Stochastic
Environment; S. McClean, E. Montgomery. 14.
Semi-Markov Models
for Lifetime Data Analysis; R. P?rez-Oc?n,
et al. Part III:
Non-Homogeneous Models. 15. Continuous Time
Non
Homogeneous Semi-Markov Systems; A.A. Papadopoulou,
P.C.G.
Vassiliou. 16. The Perturbed Non-Homogeneous
Semi-Markov
System; P.C.G. Vassiliou, H. Tsakiridou.
Part IV: Queueing
Systems Theory. 17. Semi-Markov Queues with
Heavy Tails; S.
Asmussen. 18. MR Modelling of Poisson Traffic
at Intersections
Having Separate Turn Lanes; R. Gideon, R.
Pyke. Part V:
Financial Models. 19. Stochastic Stability
and Optimal Control in
Insurance Mathematics; A. Swishchuk. 20.
Option Pricing with
Semi-Markov Volatility; J. Janssen, et al.
Part VI: Controlled
Processes & Maintenance. 21. Applications
of Semi-Markov
Processes in Reliability and Maintenance;
M. Abdel-Hameed. 22.
Controlled Queueing Systems with Recovery
Functions; T. Dohi, et
al. Part VII: Chromatography & Fluid
Mechanics. 23.
Continuous Semi-Markov Models for Chromatography;
B.P.
Harlamov. 24. The Stress Tensor of the Closed
Semi-Markov
System. Energy and Entropy; G.M. Tsaklidis.
Index.
Kluwer Academic Publishers, Dordrecht
Hardbound, ISBN 0-7923-5963-1
October 1999, 432 pp.
NONCONVEX OPTIMIZATION AND ITS APPLICATIONS
Volume 36
An understanding of emergent computation
requires a profound revision of the most
fundamental ideas. A noticeable attempt of
such a rethinking is a world view in which
natural systems are seen not as separate
entities but as integrated parts of a unified
whole.
The book for the first time presents such
a mathematical structure, which remarkably
is based on integers as the single
concept. As integers are considered to be
the most fundamental entities irreducible
to something simpler, this makes the
mathematical structure a final theory, and
thus we do not have to look for its explanation
in terms of deeper concepts. The book is
not only applicable to models of computation
and optimization but also has scientific
consequences, as it contributes to a rethinking
of the most fundamental ideas about nature.
Audience: The book is written at a level
suitable for advanced undergraduate students
and graduate students as well as research
workers and practitioners in computer science
information technology, mathematics and physics.
The book is suitable as a
reference or as supplementary reading material
for an advanced graduate course. Only a basic
knowledge of calculus is required.
Contents
Preface. Acknowledgments. 1. Integer Code
Series (ICS). 2.
Systems of Integer Relations and Structural
Complexity. 3. A New
Type of Hierarchical Formations and the Structure.
4. The
Structure and Emergent Computation. 5. Searching
for Universal
Principles of Emergent Computation.
Kluwer Academic Publishers, Dordrecht
Hardbound, ISBN 0-7923-6010-9
October 1999, 180 pp.
INTERNATIONAL SOCIETY FOR ANALYSIS, APPLICATIONS
AND COMPUTATION Volume 6
The book consists of state-of-the-art chapters
on scattering theory, coefficient identification,
uniqueness and existence
theorems, boundary controllability, wave
propagation in stratified media, viscous
flows, nonlinear acoustics, Sobolev spaces,
singularity theory, pseudo-differential operators,
and semigroup theory.
Audience: Researchers working in the field
as well as scientists interested in the applications.
Contents and Contributors
Preface. 1. Algorithms of the Asymptotic
Nonlinear Analysis; A.
Bruno. 2. Transmission Loss in a Depth-varying
Ocean over a
Poroelastic Seabed; J. Buchanan, R.P. Gilbert.
3. Variation on (c, y)
Duality; R. Carroll. 4. Uniqueness of Continuation
Theorems; M.
Eller. 5. Determination of a Distributed
Inhomogeneity in a
Two-layer Waveguide from Scattered Sound;
R.P. Gilbert, et al. 6.
Differentiability with Respect to Parameters
of Integrated
Semigroups; M. He. 7. Coundedness of Pseudo-differential
Operators on H?rmander Spaces; G. Iancu.
8. Coefficient
Identification in Elliptic Differential Equations;
I. Knowles. 9.
Quasi-exponential Solutions for Some PDE
with Coefficients of
Limited Regularity; A. Panchenko. 10. Analytically
Smoothing Effect
for Schr?dinger Type Equations with Variable
Coefficients; K.
Kajitani, W. Wakabayashi. 11. Initial Boundary
Value Problem for
the Viscous Incompressible Flows; H. Kato.
12. Initial-boundary
Value Problems for an Equation of Internal
Waves in a Stratified
Fluid; P. Krutitskii. 13. Homogenization
of the System Equations of
High Frequency Nonlinear Acoustics; E.A.
Lapshin, G.P. Panasenko.
14. Identification of a Reflection Boundary
Coefficient in an
Acoustic Wave Equation by Optimal Control
Techniques; S.
Lenhart, et al. 15. Numerical Solutions to
Acoustic Scattering in
Shallow Oceans by Periodic Wavelets; W. Lin,
X. Wang. 16. Solution
of the Robin and Dirichlet Problem for the
Laplace Equation; D.
Medkova. 17. Existence and Decay of Solutions
of some Nonlinear
Degenerate Parabolic Equations; T. Nanbu.
18. On Regularity
Results for Variational-hemivariational Inequalities;
Z. Naniewicz,
P.D. Panagiotoopoulos. 19. Quasi-exponential
Solutions for some
PDE with Coefficients of Limited Regularity;
A. Panchenko. 20. An
Inverse Problem in Elastodynamics; L. Rachele.
21. Denseness of
Co¥(RN) in the Generalized Sobolev Spaces;
S. Samko. 22.
Singularities of Reflected and Refracted
Riemann Functions of
Elastic Wave Propagation Problems in Stratified
Media; S. Shimizu.
23. Exact Boundary Controllability of a First
Order, Non-linear
Hyperbolic Equation with Non-local Integral
Terms Arising in
Epidemic Modeling; I. Lasiecka, R. Triggiani.
24. Singularities of
Solutions for Nonlinear Hyperbolic Equations
of Second Order; M.
Tsuji. 25. Positive Solutions of Semilinear
Elliptic Boundary Value
Problems in Chemical Reactor Theory; K. Umezu,
K. Taira. 26. Fast
Solvers of the Lippman-Schwinger Equation;
G. Vainikko. 27.
Inverse Source Problems for the Stokes System;
M. Yamamota,
O.Y. Imanuvilov.
Hardbound, ISBN 0-7923-6005-2
November 1999, 392 pp.
APPLIED OPTIMIZATION Volume 35
This book is outstanding for several reasons:
it observes the role of time in fuzzy proposition
calculations, provides calculation error
analysis for small density of inference processing
and gives numerous examples of fuzzy sets
and systems programming with time incorporated
into a fuzzy inference machine based on MATLAB
and Mathematica packages. Major contributions
in the
field so far have only dealt with the JK
fuzzy flip-flop; however, in this book the
author covers analysis and simulation of
various
memory devices such as Delay, Trigger, Set–Reset
etc. Simulations of fuzzy memory modules
built with given memory cells are also presented.
Audience: Readers from undergraduate to postgraduate
level can comprehend the material of the
book as it does not require
high-level mathematics, yet it covers the
entire spectra of fuzzy sets and possibility
logic as related to time.
Contents
List of Figures. List of Tables. Preface.
Acknowledgments. Part I:
The Fundamentals of Fuzzy and Possibilistic
Logic. 1.
Fuzziness and its Measure. 2. Fuzzy Operations
and Relations. 3.
Fuzzy Functions. 4. Fuzzy Algorithms. 5.
Process of Fuzzy
Inference. 6. Possibilistic Logic. Part II:
Fuzzy Temporal Logic.
7. Temporality of Propositions. 8. Fuzziness
of Time. 9. Temporality
in Fuzzy Inference Machines. 10. Graphs of
Fuzzy Dates. Part III:
Fuzzy Sets Computation, Representation and
Simulation.
12. Matlab Simulations of Fuzzy Circuits.
Part IV: Programs.
Appendices. References. Index.
Kluwer Academic Publishers, Dordrecht
Hardbound, ISBN 0-7923-6100-8
November 1999, 512 pp.
THE HANDBOOKS OF FUZZY SETS Volume 6
Since the late 1980s, a large number of very
user-friendly tools for fuzzy control, fuzzy
expert systems, and fuzzy data analysis have
emerged. This has changed the character of
this area and started the area of `fuzzy
technology'. The next large step in the
development occurred in 1992 when almost
independently in Europe, Japan and the USA,
the three areas of fuzzy technology,
artificial neural nets and genetic algorithms
joined forces under the title of `computational
intelligence' or `soft computing'. The
synergies which were possible between these
three areas have been exploited very successfully.
Practical Applications of Fuzzy Sets focuses
on model and real applications of fuzzy sets,
and is structured into four major parts:
engineering and natural sciences; medicine;
management; and behavioral, cognitive and
social sciences. This book will be useful
for practitioners of fuzzy technology, scientists
and students who are looking for applications
of their models and methods, for topics of
their theses, and even for venture capitalists
who look for attractive possibilities for
investments.
Contents and Contributors
Series Forword; D. Dubois, H. Prade. Preface;
H.-J. Zimmermann.
Contributing Authors. Part I: Engineering
and Natural
Sciences. 1. Fuzzy Control in the Process
Industry: Common
Practice and Challenging Perspectives; J.
Jantzen, J.-J. ?stergaard,
H.B. Verbruggen. 2. Fuzzy Sets in Engineering
Design; E.K.
Antonsson, H.-J. Sebastian. 3. Supervision,
Fault-Detection and
Fault-Diagnosis Methods –
Advanced Methods and Applications; R.
Isermann, D. F?ssel. 4. Quality Control and
Maintenance; J.
Strackeljan, R. Weber. 5. Using Fuzzy Logic
for Mobile Robot
Control; A. Saffiotti, E.H. Ruspini, K. Konolige.
6. Civil Engineering
(including Earthquake Engineering); F.S.
Wong, K.C. Chou, J.T.P. Yao.
7. Ecological Modeling and Data Analysis;
A. Salski. 8. Fuzzy Sets
Approach to Spatial Analysis; Yee Leung.
9. Chemistry and
Chemical Engineering; W. Meier. Part II:
Medicine. 10. Fuzzy
Logic and Possibility Theory in Biomedical
Engineering; K. Becker.
11. Approximate Reasoning in Computer-Aided
Medical Decision
Systems; J.-C. Buisson. 12. Image Processing
in Medicine; J.C.
Bezdek, M.A. Sutton. Part III: Management.
13. Strategic
Planning; M. Lasek. 14. Decision and Planning
in Research and
Development; B. Werners, R. Weber. 15. Production
Planning and
Scheduling – Fuzzy and Crisp Approaches;
I.B. T?rksen, M.H. Fazel
Zarandi. 16. Fuzzy Sets Methodologies in
Actuarial Science; R.A.
Derrig, K. Ostaszewski. Part IV: Behavioral,
Cognitive and
Social Sciences. 17. Fuzzy Set Theory and
Applications in
Psychology; M. Smithson, G.C. Oden. 18. Fuzzy
Sets in Human
Factors and Ergonomics; W. Karwowski, WookGee
Lee, J. Grobelny,
Yung-Nien Yang. Part V: Tools. 19. Fuzzy
System Development:
Software Methodology and Design Tools; W.
Pedrycz. Index.
Kluwer Academic Publishers, Boston
Hardbound, ISBN 0-7923-8628-0
November 1999, 696 pp.
NONCONVEX OPTIMIZATION AND ITS APPLICATIONS
Volume 38
The book deals with the mathematical theory
of vector variational inequalities with special
reference to equilibrium problems. Such models
have been introduced recently to study new
problems from mechanics, structural engineering,
networks, and industrial management, and
to revisit old ones. The common feature of
these problems is that given by the presence
of concurrent objectives and by the difficulty
of identifying a global functional (like
energy) to be extremized. The vector variational
inequalities have the advantage of both the
variational ones and vector optimization
which are found as special cases. Among several
applications, the equilibrium flows on a
network receive special attention.
Audience: The book is addressed to academic
researchers as well as industrial ones, in
the fields of mathematics, engineering,
mathematical programming, control theory,
operations research, computer science, and
economics.
Contents and Contributors
Preface. Vector Equilibrium Problems and
Vector Variational
Inequalities; A.H. Ansari. Generalized Vector
Variational-Like
Inequalities and their Scalarization; A.H.
Ansari, et al. Existence of
Solutions for Generalized Vector Variational-Like
Inequalities; S.-S.
Chang, et al. On Gap Functions for Vector
Variational Inequalities;
G.-Y. Chen, et al. Existence of Solutions
for Vector Variational
Inequalities; G.-Y. Chen, S.-H. Hou. On the
Existence of Solutions to
Vector Complementarity Problems. Vector Variational
Inequalities
and Modelling of a Continuum Traffic Equilibrium
Problem; P.
Daniele, A. Maugeri. Generalized Vector Variational-Like
Inequalities
without Monotonicity; X.P. Ding, E. Tarafdar.
Generalized Vector
Variational-Like Inequalities with Cx-h-Pseudomonotone
Set-Valued Mappings; X.P. Ding, E. Tarafdar.
A Vector
Variational-Like Inequality for Compact Acyclic
Multifunctions and
its Applications; J. Fu. On the Theory of
Vector Optimization and
Variational Inequalities. Image Space Analysis
and Separation; F.
Giannessi, et al. Scalarization Methods for
Vector Variational
Inequality; C.J. Goh, X.Q. Yang. Super Efficiency
for a Vector
Equilibrium in Locally Convex Topological
Vector Spaces; X.H. Gong,
et al. The Existence of Essentially Connected
Components of
Solutions for Variational Inequalities; G.
Isac, G.X.Z. Yuan. Existence
of Solutions for Vector Saddle-Point Problems;
K.R. Kazmi. Vector
Variational Inequality as a Tool for Studying
Vector Optimization
Problems; G.M. Lee, et al. Vector Variational
Inequalities in a
Hausdorff Topological Vector Space; G.M.
Lee, S. Kum. Vector
Ekeland Variational Principle; S.J. Li, et
al. Convergence of
Approximate Solutions and Values in Parametric
Vector
Optimization; P. Loridan, J. Morgan. On Minty
Vector Variational
Inequality; G. Mastroeni. Generalized Vector
Variational-Like
Inequalities; L. Qun. On Vector Complementarity
Systems and
Vector Variational Inequalities; T. Rapcs?k.
Generalized Vector
Variational Inequalities; W. Song. Vector
Equilibrium Problems with
Set-Valued Mappings; W. Song. On Some Equivalent
Conditions of
Vector Variational Inequalities; X.Q. Yang.
On Inverse Vector
Variational Inequalities; X.Q. Yang, G.-Y.
Chen. Vector Variational
Inequalities, Vector Equilibrium Flow and
Vector Optimization; X.Q.
Yang, C.-J. Goh. On Monotone and Strongly
Monotone Vector
Variational Inequalities; N.D. Yen, G.M.
Lee. Connectedness and
Stability of the Solution Sets in Linear
Fractional Vector
Optimization Problems; N.D. Yen, T.D. Phuong.
Vector Variational
Inequality and Implicit Vector Complementarity
Problems; H. Yin, C.
Xu. References on Vector Variational Inequalities.
Subject Index.
Contributors.
Hardbound, ISBN 0-7923-6026-5
December 1999, 532 pp.
ADVANCES IN COMPUTATIONAL ECONOMICS Volume
15
Parallel Algorithms for Linear Models provides
a complete and detailed account of the design,
analysis and implementation of
parallel algorithms for solving large-scale
linear models. It investigates and presents
efficient, numerically stable algorithms
for
computing the least-squares estimators and
other quantities of interest on massively
parallel systems.
The monograph is in two parts. The first
part consists of four chapters and deals
with the computational aspects for solving
linear models that have applicability in
diverse areas. The remaining two chapters
form the second part, which concentrates
on
numerical and computational methods for solving
various problems associated with seemingly
unrelated regression equations (SURE) and
simultaneous equations models.
The practical issues of the parallel algorithms
and the theoretical aspects of the numerical
methods will be of interest to a broad
range of researchers working in the areas
of numerical and computational methods in
statistics and econometrics, parallel
numerical algorithms, parallel computing
and numerical linear algebra. The aim of
this monograph is to promote research in
the
interface of econometrics, computational
statistics, numerical linearalgebra and parallelism.
Contents
List of Figures. List of Tables. List of
Algorithms. Preface. 1. Linear
Models and QR Decomposition. 2. OLM Not of
Full Rank. 3.
Updating and Downdating the Olm. 4. The General
Linear Model. 6.
Simultaneous Equations Models. References.
Author Index. Subject
Index.
Hardbound, ISBN 0-7923-7720-6
December 1999, 208 pp.