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The Resource Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio

Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio

Label
Computational mathematical modeling : an integrated approach across scales
Title
Computational mathematical modeling
Title remainder
an integrated approach across scales
Statement of responsibility
Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio
Creator
Contributor
Subject
Language
eng
Summary
"Interesting, real-world mathematical modeling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modeling paradigms: the macroscopic, in which the authors describe phenomena in terms of time evolution via ordinary differential equations, and the microscopic, which requires knowledge of random events and probability. The text emphasizes the development of computational skills to construct predictive models and analyze the results. To elucidate the concepts, a wealth of examples and portions of MATLAB® code used by the authors are included. Computational Mathematical Modeling: An Integrated Approach Across Scales: is designed for classroom use, has been extensively tested by the authors, and has homework problems carefully designed to develop students' computational skills ; is based on an unorthodox combination of deterministic and probabilistic methodologies that are naturally bridged through examples ; painlessly introduces students to advanced themes in a natural progression ; includes suggestions for further reading."--Publisher's website
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Calvetti, Daniela
Illustrations
illustrations
Index
index present
LC call number
QA372
LC item number
.C187 2013
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Somersalo, Erkki
Series statement
Mathematical modeling and computation
http://library.link/vocab/subjectName
  • Differential equations
  • Probabilities
  • Dimensional analysis
  • Mathematical models
  • Differential equations
  • Dimensional analysis
  • Mathematical models
  • Probabilities
  • Mathematische Modellierung
  • Computermathematik
  • Differentialgleichung
  • Wahrscheinlichkeitstheorie
Label
Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 215-218) 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
Review of multivariate calculus and differential equations -- Compartment models -- From compartment models to continuous models -- Dimensional analysis and scaling -- Introduction to stochastic modeling -- Modeling of noise -- Modeling with waiting processes -- Markov processes -- Cellular automata, agent based modeling
Dimensions
26 cm.
Extent
xii, 222 pages
Isbn
9781611972474
Isbn Type
(paperback)
Lccn
2012035528
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustration (some color)
System control number
  • (OCoLC)815757065
  • (OCoLC)ocn815757065
Label
Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio
Publication
Bibliography note
Includes bibliographical references (pages 215-218) 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
Review of multivariate calculus and differential equations -- Compartment models -- From compartment models to continuous models -- Dimensional analysis and scaling -- Introduction to stochastic modeling -- Modeling of noise -- Modeling with waiting processes -- Markov processes -- Cellular automata, agent based modeling
Dimensions
26 cm.
Extent
xii, 222 pages
Isbn
9781611972474
Isbn Type
(paperback)
Lccn
2012035528
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustration (some color)
System control number
  • (OCoLC)815757065
  • (OCoLC)ocn815757065

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