| Document Type
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BL
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| Record Number
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877308
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| Uniform Title
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Matematicheskoe modelirovanie.English
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| Main Entry
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Samarskiĭ, A. A., (Aleksandr Andreevich)
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| Title & Author
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Principles of mathematical modeling : : ideas, methods, examples /\ A.A. Samarskii and A.P. Mikhailov.
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| Publication Statement
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London ;New York :: Taylor & Francis,, 2002.
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| Series Statement
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Numerical insights ;; v. 3
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| Page. NO
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ix, 349 pages :: illustrations ;; 25 cm.
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| ISBN
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0415272807
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: 0415272815
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: 9780415272803
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: 9780415272810
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| Notes
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Originally published in Russian in 1997 as Matematicheskoe Modelirovanie: Idei. Metoid. Primeri by Physical and Mathematical Literature Publishing Company, Russian Academy of Sciences Moscow.
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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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| Subject
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Mathematical models.
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| Subject
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Mathematical models.
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| Subject
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Modèles mathématiques.
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| Dewey Classification
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511/.8
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| LC Classification
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QA401.S2613 2002
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| NLM classification
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P 55blsrissc
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| Added Entry
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Mikhaĭlov, A. P., (Aleksandr Petrovich),1947-
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