عنوان

Principles of mathematical modeling :

(Number (ISBN

0415272807

(Number (ISBN

0415272815

(Number (ISBN

9780415272803

(Number (ISBN

9780415272810

Title Proper

Principles of mathematical modeling :

General Material Designation

[Book]

Other Title Information

ideas, methods, examples /

First Statement of Responsibility

A.A. Samarskii and A.P. Mikhailov.

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Taylor & Francis,

Date of Publication, Distribution, etc.

2002.

Specific Material Designation and Extent of Item

ix, 349 pages :

Other Physical Details

illustrations ;

Dimensions

25 cm.

Series Title

Numerical insights ;

Volume Designation

v. 3

Text of Note

Originally published in Russian in 1997 as Matematicheskoe Modelirovanie: Idei. Metoid. Primeri by Physical and Mathematical Literature Publishing Company, Russian Academy of Sciences Moscow.

Text of Note

Includes bibliographical references and index.

Text of Note

I. The Elementary Mathematical Models and Basic Concepts of Mathematical Modeling -- 1. Elementary Mathematical Models -- 2. Examples of Models Following from the Fundamental Laws of Nature -- 3. Variational Principles and Mathematical Models -- 4. Examples of the Hierarchy of Models -- 5. The Universality of Mathematical Models -- 6. Several Models of Elementary Nonlinear Objects -- II. Derivation of Models from the Fundamental Laws of Nature -- 1. Conservation of the Mass of Substance -- 2. Conservation of Energy -- 3. Conservation of the Number of Particles -- 4. Joint Application of Several Fundamental Laws -- III. Models Deduced from Variational Principles, Hierarchies of Models -- 1. Equations of Motion, Variational Principles and Conservation Laws in Mechanics -- 2. Models of Some Mechanical Systems -- 3. The Boltzmann Equation and its Derivative Equations -- IV. Models of Some Hardly Formalizable Objects -- 1. Universality of Mathematical Models -- 2. Some Models of Financial and Economic Processes -- 3. Some Rivalry Models -- 4. Dynamics of Distribution of Power in Hierarchy -- V. Study of Mathematical Models -- 1. Application of Similarity Methods -- 2. The Maximum Principle and Comparison Theorems -- 3. An Averaging Method -- 4. On Transition to Discrete Models -- VI. Mathematical Modeling of Complex Objects -- 1. Problems of Technology and Ecology -- 2. Fundamental Problems of Natural Science -- 3. Computing Experiment with Models of Hardly Formalizable Objects.

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General Material Designation

Matematicheskoe modelirovanie.

Language (when part of a heading)

English

Mathematical models.

Mathematical models.

Modèles mathématiques.

Number

Edition

Class number

Book number

Class number

System Code

Samarskiĭ, A. A., (Aleksandr Andreevich)

Mikhaĭlov, A. P., (Aleksandr Petrovich),1947-

Date of Transaction

20200822105401.0

Electronic name

[Book]

Y