A.V. Balakrishnan, A.A. Dorodnitsyn, and J.-L. Lions, eds.

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
 

ComCon |  Communication |  Mathematics |  University Texts |  Workshop |  Petroleum |  Law