skip to content
Scientific computing with Mathematica : mathematical problems for ordinary differential equations Preview this item
ClosePreview this item
Checking...

Scientific computing with Mathematica : mathematical problems for ordinary differential equations

Author: Addolorata Marasco; Antonio Romano
Publisher: Boston : Birkhäuser, ©2001.
Series: Modeling and simulation in science, engineering & technology.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
CD-ROM includes: Mathematica files (ODE.m and 11 notebooks: Chapter1.nb - Chapter10.nb and Package.nb).
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Additional Physical Format: Online version:
Marasco, Addolorata.
Scientific computing with Mathematica.
Boston : Birkhäuser, ©2001
(OCoLC)872633137
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Addolorata Marasco; Antonio Romano
ISBN: 0817642056 9780817642051 3764342056 9783764342050
OCLC Number: 45618354
Description: xiv, 270 pages : illustrations ; 25 cm + 1 computer optical disc (4 3/4 in.).
Contents: 1 Solutions of ODEs and Their Properties 1 --
1.2 Definitions and Existence Theory 5 --
1.3 Functions DSolve, NDSolve, and DifferentialInvariants 8 --
1.4 Phase Portrait 12 --
1.5 Applications of the Programs Sysn, Phase2D, PolarPhase, and Phase3D 15 --
2 Linear ODEs with Constant Coefficients 33 --
2.2 General Solution of Linear Differential Systems with Constant Coefficients 35 --
2.3 Program LinSys 37 --
3 Power Series Solutions of ODEs and Frobenius Series 49 --
3.2 Power Series and the Program Taylor 50 --
3.3 Power Series and Solutions of ODEs 53 --
3.4 Series Solutions Near Regular Singular Points: Method of Frobenius 55 --
3.5 Program SerSol 59 --
3.6 Other Applications of SerSol 64 --
3.7 Program Frobenius 70 --
4 Poincare's Perturbation Method 79 --
4.2 Poincare's Perturbation Method 80 --
4.3 How to Introduce the Small Parameter 82 --
4.4 Program Poincare 86 --
5 Problems of Stability 99 --
5.2 Definitions of Stability 100 --
5.3 Analysis of Stability: The Direct Method 103 --
5.4 Polynomial Liapunov Functions 107 --
5.5 Program Liapunov 111 --
5.6 Analysis of Stability, the Indirect Method: The Planar Case 119 --
5.7 Program LStability 121 --
6 Stability: The Critical Case 127 --
6.2 Planar Case and Poincare's Method 128 --
6.3 Programs CriticalEqS and CriticalEqN 131 --
6.4 Center Manifold 138 --
6.5 Program CManifold 141 --
7 Bifurcation in ODEs 145 --
7.1 Introduction to Bifurcation 145 --
7.2 Bifurcation in a Differential Equation Containing One Parameter 146 --
7.3 Programs Bif1 and Bif1G 153 --
7.5 Bifurcation in a Differential Equation Depending on Two Parameters 158 --
7.6 Programs Bif2 and Bif2G 164 --
7.8 Hopf's Bifurcation 168 --
7.9 Program HopfBif 170 --
8 Lindstedt-Poincare Method 177 --
8.1 Asymptotic Expansions 177 --
8.2 Lindstedt-Poincare Method 179 --
8.3 Programs LindPoinc and GLindPoinc 183 --
9 Boundary-Value Problems for Second-Order ODEs 201 --
9.1 Boundary-Value Problems and Bernstein's Theorem 201 --
9.2 Shooting Method 204 --
9.3 Program NBoundary 208 --
9.4 Finite Difference Method 215 --
9.5 Programs NBoundary1 and NBoundary2 219 --
10 Rigid Body with a Fixed Point 231 --
10.2 Euler's Equations 232 --
10.3 Free Rotations or Poinsot's Motions 235 --
10.4 Heavy Gyroscope 237 --
10.5 Gyroscopic Effect 239 --
10.6 Program Poinsot 241 --
10.7 Program Solid 249 --
A How to Use the Package ODE.m 261 --
A.1 Notebooks for Using ODE.m 261 --
A.2 A Brief Introduction to Programming 261 --
A.3 Structure of Program Sysn 263.
Series Title: Modeling and simulation in science, engineering & technology.
Responsibility: Addolorata Marasco, Antonio Romano.
More information:

Abstract:

Many behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). This book provides a general framework useful for the  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/45618354> # Scientific computing with Mathematica : mathematical problems for ordinary differential equations
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "45618354" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/mau> ;
   library:placeOfPublication <http://dbpedia.org/resource/Boston> ; # Boston
   schema:about <http://experiment.worldcat.org/entity/work/data/198832993#Topic/mathematica_programm_gewohnliche_differentialgleichung> ; # Mathematica --Gewöhnliche Differentialgleichung
   schema:about <http://experiment.worldcat.org/entity/work/data/198832993#CreativeWork/mathematica_computer_file> ; # Mathematica (Computer file)
   schema:about <http://id.worldcat.org/fast/893450> ; # Differential equations--Data processing
   schema:about <http://id.loc.gov/authorities/subjects/sh2009123362> ; # Differential equations--Data processing
   schema:about <http://dewey.info/class/515.350285/e21/> ;
   schema:about <http://id.worldcat.org/fast/1372712> ; # Mathematica (Computer file)
   schema:about <http://experiment.worldcat.org/entity/work/data/198832993#Topic/gewohnliche_differentialgleichung_mathematica_programm> ; # Gewöhnliche Differentialgleichung--Mathematica
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/76663933> ; # Antonio Romano
   schema:copyrightYear "2001" ;
   schema:creator <http://viaf.org/viaf/57516618> ; # Addolorata Marasco
   schema:datePublished "2001" ;
   schema:description "CD-ROM includes: Mathematica files (ODE.m and 11 notebooks: Chapter1.nb - Chapter10.nb and Package.nb)."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/198832993> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/198832993#Series/modeling_and_simulation_in_science_engineering_&_technology> ; # Modeling and simulation in science, engineering & technology.
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/198832993#Series/modeling_and_simulation_in_science_engineering_and_technology> ; # Modeling and simulation in science, engineering, and technology
   schema:isSimilarTo <http://www.worldcat.org/oclc/872633137> ;
   schema:name "Scientific computing with Mathematica : mathematical problems for ordinary differential equations"@en ;
   schema:productID "45618354" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/45618354#PublicationEvent/boston_birkhauser_2001> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/198832993#Agent/birkhauser> ; # Birkhäuser
   schema:url <http://catdir.loc.gov/catdir/enhancements/fy0829/00069766-t.html> ;
   schema:workExample <http://worldcat.org/isbn/9780817642051> ;
   schema:workExample <http://worldcat.org/isbn/9783764342050> ;
   umbel:isLike <http://d-nb.info/962865265> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/45618354> ;
    .


Related Entities

<http://dbpedia.org/resource/Boston> # Boston
    a schema:Place ;
   schema:name "Boston" ;
    .

<http://experiment.worldcat.org/entity/work/data/198832993#CreativeWork/mathematica_computer_file> # Mathematica (Computer file)
    a schema:CreativeWork ;
   schema:name "Mathematica (Computer file)" ;
    .

<http://experiment.worldcat.org/entity/work/data/198832993#Series/modeling_and_simulation_in_science_engineering_&_technology> # Modeling and simulation in science, engineering & technology.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/45618354> ; # Scientific computing with Mathematica : mathematical problems for ordinary differential equations
   schema:name "Modeling and simulation in science, engineering & technology." ;
    .

<http://experiment.worldcat.org/entity/work/data/198832993#Series/modeling_and_simulation_in_science_engineering_and_technology> # Modeling and simulation in science, engineering, and technology
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/45618354> ; # Scientific computing with Mathematica : mathematical problems for ordinary differential equations
   schema:name "Modeling and simulation in science, engineering, and technology" ;
    .

<http://experiment.worldcat.org/entity/work/data/198832993#Topic/gewohnliche_differentialgleichung_mathematica_programm> # Gewöhnliche Differentialgleichung--Mathematica
    a schema:Intangible ;
   schema:name "Gewöhnliche Differentialgleichung--Mathematica "@en ;
    .

<http://experiment.worldcat.org/entity/work/data/198832993#Topic/mathematica_programm_gewohnliche_differentialgleichung> # Mathematica --Gewöhnliche Differentialgleichung
    a schema:Intangible ;
   schema:name "Mathematica --Gewöhnliche Differentialgleichung"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh2009123362> # Differential equations--Data processing
    a schema:Intangible ;
   schema:name "Differential equations--Data processing"@en ;
    .

<http://id.worldcat.org/fast/1372712> # Mathematica (Computer file)
    a schema:CreativeWork ;
   schema:name "Mathematica (Computer file)" ;
    .

<http://id.worldcat.org/fast/893450> # Differential equations--Data processing
    a schema:Intangible ;
   schema:name "Differential equations--Data processing"@en ;
    .

<http://viaf.org/viaf/57516618> # Addolorata Marasco
    a schema:Person ;
   schema:familyName "Marasco" ;
   schema:givenName "Addolorata" ;
   schema:name "Addolorata Marasco" ;
    .

<http://viaf.org/viaf/76663933> # Antonio Romano
    a schema:Person ;
   schema:birthDate "1941" ;
   schema:familyName "Romano" ;
   schema:givenName "Antonio" ;
   schema:name "Antonio Romano" ;
    .

<http://worldcat.org/isbn/9780817642051>
    a schema:ProductModel ;
   schema:isbn "0817642056" ;
   schema:isbn "9780817642051" ;
    .

<http://worldcat.org/isbn/9783764342050>
    a schema:ProductModel ;
   schema:isbn "3764342056" ;
   schema:isbn "9783764342050" ;
    .

<http://www.worldcat.org/oclc/872633137>
    a schema:CreativeWork ;
   rdfs:label "Scientific computing with Mathematica." ;
   schema:description "Online version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/45618354> ; # Scientific computing with Mathematica : mathematical problems for ordinary differential equations
    .

<http://www.worldcat.org/title/-/oclc/45618354>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
   schema:about <http://www.worldcat.org/oclc/45618354> ; # Scientific computing with Mathematica : mathematical problems for ordinary differential equations
   schema:dateModified "2018-03-11" ;
   void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.