Vistas in Applied Mathematics: Numerical Analysis, Atmospheric Sciences, Immunology, 1986, 396 pp., ISBN 0-911575-38-3, $98.00
Volume honoring Academician G.I. Marchuk, the USSR Academy
of Sciences. Not a translation from the Russian. Features specially prepared
original contributions by internationally renowned specialists from around
the world. A unique source of recent advances in the areas listed in the
title, much material appearing for the first time, and not available elsewhere.
TABLE OF CONTENTS
Numerical Analysis
J.P. Benque, O. Daubert, J. Goussebaile, and A. Hauguel
Splitting-up Techniques for Computations of Industrial
Flows ..... 3
F. Brezzi, J. Douglas, Jr., and L.D. Marini
Recent Results on Mixed Finite-Element Methods for Second-Order
Elliptic Problems ..... 25
T. Chacon and O. Pironneau
On the Mathematical Foundations of the k-
Turbulent Model ..... 44
R. Glowinski
Splitting Methods for the Numerical Solution of the Incompressible
Navier-Stokes Equations ..... 57
Yu.A. Kuznetsov
Iterative Methods in Subspaces for Eigenvalue Problems
..... 96
J.-L. Lions
A Remark on the Approximation of Nonhomogeneous Hyperbolic
Boundary Value Problems ..... 114
A.M. Matsokin
Method of Fictitious Components and the Alternating-Subdomains
Method ..... 127
U. Mosco
Obstacle Problems: Do Continuous Solutions Exist under
Wildly Irregular Constraints? ..... 145
V.V. Shajdurov
The Theoretical Aspects of Multigrid Methods ..... 152
J. Stoer
On the Realization of the Quadratic Programming Algorithm
of Goldfarb and Idnani ..... 167
V.A. Vasilenko
The Finite-Element Approximation of Minimal Surfaces
..... 181
Atmospheric Sciences
V.P. Dymnikov
Some Problems of Moist Atmosphere Dynamics Modelling
..... 193
K. Ya. Kondrat’ev and V.V. Kozoderov
Satellite Observations of the Earth’s Radiation Budget
Components and the Problem of the Energetically Active Zones of the World
Ocean (EAZO) ..... 223
Y. Mintz and P.J. Sellers
Proposal for a Numerical Model of the Biosphere for Use
with Numerical Models of the Atmosphere ..... 244
A.S. Sarkisyan
Large-Scale Ocean Circulation Modelling ..... 265
Immunology
A.V. Balakrishnan
A Note on the Marchuk-Zuev Identification Problem .....
291
L.N. Belykh
On the Simple Mathematical Model of Infectious Disease
..... 299
R.R. Mohler, Z. Farooqi, and T. Heilig
Lymphocyte Distribution and Lymphatic Dynamics .....
317
N.I. Nisevich, I.I. Zubikova, I.B. Pogozhev, and A.A.
Romanyukha
Mathematical Methods for Data Processing and Model Construction
for Viral Hepatitis ..... 334
R.V. Petrov, R.N. Stepanenko, and Yu.I. Skalko
The Mechanism of Immune Response Amplification by Stimulator
of Antibody Production (SAP) (Studies by Means of a Mathematical Model)
..... 355
S.M. Zuev
Determination of the Disease Model Parameters Based on
Observational Data ..... 366
List of OSI publications ..... 381
Transliteration table (Russian -- English) ..... 383