The Resource Methods of Mathematical Modelling : Continuous Systems and Differential Equations, by Thomas Witelski, Mark Bowen, (electronic resource)

Methods of Mathematical Modelling : Continuous Systems and Differential Equations, by Thomas Witelski, Mark Bowen, (electronic resource)

Label
Methods of Mathematical Modelling : Continuous Systems and Differential Equations
Title
Methods of Mathematical Modelling
Title remainder
Continuous Systems and Differential Equations
Statement of responsibility
by Thomas Witelski, Mark Bowen
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences
Member of
http://library.link/vocab/creatorName
Witelski, Thomas
Dewey number
515.352
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • vi1R5ZoUQE0
  • ItletTgx3yE
Image bit depth
0
Language note
English
LC call number
QA372
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Bowen, Mark.
Series statement
Springer Undergraduate Mathematics Series,
http://library.link/vocab/subjectName
  • Differential Equations
  • Differential equations, partial
  • Mathematical optimization
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Mathematical Applications in the Physical Sciences
  • Mathematical Modeling and Industrial Mathematics
  • Calculus of Variations and Optimal Control; Optimization
Label
Methods of Mathematical Modelling : Continuous Systems and Differential Equations, by Thomas Witelski, Mark Bowen, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (XVIII, 305 p. 50 illus., 45 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319230429
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-23042-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000521704
  • (SSID)ssj0001585318
  • (PQKBManifestationID)16264030
  • (PQKBTitleCode)TC0001585318
  • (PQKBWorkID)14865450
  • (PQKB)10100148
  • (DE-He213)978-3-319-23042-9
  • (EXLCZ)993710000000521704
Label
Methods of Mathematical Modelling : Continuous Systems and Differential Equations, by Thomas Witelski, Mark Bowen, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (XVIII, 305 p. 50 illus., 45 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319230429
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-23042-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000521704
  • (SSID)ssj0001585318
  • (PQKBManifestationID)16264030
  • (PQKBTitleCode)TC0001585318
  • (PQKBWorkID)14865450
  • (PQKB)10100148
  • (DE-He213)978-3-319-23042-9
  • (EXLCZ)993710000000521704

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