The Resource Principles of mathematical modeling : ideas, methods, examples, A.A. Samarskii and A.P. Mikhailov

Principles of mathematical modeling : ideas, methods, examples, A.A. Samarskii and A.P. Mikhailov

Label
Principles of mathematical modeling : ideas, methods, examples
Title
Principles of mathematical modeling
Title remainder
ideas, methods, examples
Statement of responsibility
A.A. Samarskii and A.P. Mikhailov
Creator
Contributor
Subject
Language
  • eng
  • res
  • eng
Member of
Cataloging source
UKM
http://library.link/vocab/creatorName
Samarskiĭ, A. A.
Illustrations
illustrations
Index
index present
Language note
Translated from the Russian
LC call number
QA401
LC item number
.S2613 2002
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1947-
http://library.link/vocab/relatedWorkOrContributorName
Mikhaĭlov, A. P.
http://library.link/vocab/subjectName
  • Mathematical models
  • Mathematical models
  • Modèles mathématiques
Label
Principles of mathematical modeling : ideas, methods, examples, A.A. Samarskii and A.P. Mikhailov
Instantiates
Publication
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
Bibliography note
Includes bibliographical references (p. 342-346) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
25 cm.
Extent
ix, 349 pages
Isbn
9780415272803
Lccn
2005283115
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)48467121
  • (OCoLC)ocm48467121
Label
Principles of mathematical modeling : ideas, methods, examples, A.A. Samarskii and A.P. Mikhailov
Publication
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
Bibliography note
Includes bibliographical references (p. 342-346) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
25 cm.
Extent
ix, 349 pages
Isbn
9780415272803
Lccn
2005283115
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)48467121
  • (OCoLC)ocm48467121

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