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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
Resource Information
The item Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
- 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
- Language
- eng
- Extent
- xii, 222 pages
- 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
- Isbn
- 9781611972474
- 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
- 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
- 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
- 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
- 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
Subject
- Differential equations
- Differential equations
- Differentialgleichung
- Dimensional analysis
- Dimensional analysis
- Mathematical models
- Mathematical models
- Mathematical models
- Mathematical models
- Mathematische Modellierung
- Probabilities
- Probabilities
- Wahrscheinlichkeitstheorie
- Computermathematik
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bu.edu/portal/Computational-mathematical-modeling--an/OYLwiTIPasw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Computational-mathematical-modeling--an/OYLwiTIPasw/">Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bu.edu/portal/Computational-mathematical-modeling--an/OYLwiTIPasw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Computational-mathematical-modeling--an/OYLwiTIPasw/">Computational mathematical modeling : an integrated approach across scales, Daniela Calvetti, Case Western University, Cleveland, Ohio, Erkki Somersalo, Case Western University, Cleveland, Ohio</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>