The Resource Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson
Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson
Resource Information
The item Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- This book explores several aspects of discrete Hamiltonian systems. It is unique in that it provides interconnections between symplectic systems, recessive and dominant solutions, various discrete Riccati equations, and continued fraction representations of solutions of Riccati equations. It also presents variable step size discrete variational theory, a discrete Legendre transformation from discrete Euler-Lagrange equations to discrete Hamiltonian systems. Novel use is made of the implicit function theorem to show the importance of step size in numerical solutions of Hamiltonian systems. An "a priori" step size criterion shows how one can avoid parasitic numerical solutions. This book is accessible to students of mathematics, engineering, physics, chemistry and economics at the senior or beginning graduate level who have completed a course in matrix theory. It provides foundation work for engineering students studying optimal control and estimation as well as the variational problems arising in physics, chemistry, and economics
- Language
- eng
- Extent
- xiv, 374 pages
- Contents
-
- 1. Second Order Scalar Difference Equations
- 2. Continued Fractions
- 3. Symplectic Systems
- 4. Discrete Variational Theory
- 5. Symmetric Three Term Recurrence Relations
- 6. Discrete Riccati Equations for Three Term Recurrences
- 7. Green's Functions for Nonhomogeneous Second Order Difference Equations
- 8. Disconjugacy Criteria
- 9. Discrete Linear Hamiltonian Systems
- Isbn
- 9780792342779
- Label
- Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations
- Title
- Discrete Hamiltonian systems
- Title remainder
- difference equations, continued fractions, and Riccati equations
- Statement of responsibility
- by Calvin D. Ahlbrandt and Allan C. Peterson
- Language
- eng
- Summary
- This book explores several aspects of discrete Hamiltonian systems. It is unique in that it provides interconnections between symplectic systems, recessive and dominant solutions, various discrete Riccati equations, and continued fraction representations of solutions of Riccati equations. It also presents variable step size discrete variational theory, a discrete Legendre transformation from discrete Euler-Lagrange equations to discrete Hamiltonian systems. Novel use is made of the implicit function theorem to show the importance of step size in numerical solutions of Hamiltonian systems. An "a priori" step size criterion shows how one can avoid parasitic numerical solutions. This book is accessible to students of mathematics, engineering, physics, chemistry and economics at the senior or beginning graduate level who have completed a course in matrix theory. It provides foundation work for engineering students studying optimal control and estimation as well as the variational problems arising in physics, chemistry, and economics
- Cataloging source
- DLC
- http://library.link/vocab/creatorName
- Ahlbrandt, Calvin D
- Dewey number
- 514/.74
- Index
- index present
- LC call number
- QA614.83
- LC item number
- .A43 1996
- Literary form
- non fiction
- Nature of contents
- bibliography
- http://library.link/vocab/relatedWorkOrContributorName
- Peterson, Allan C
- Series statement
- Kluwer texts in the mathematical sciences
- Series volume
- v. 16
- http://library.link/vocab/subjectName
-
- Hamiltonian systems
- Systèmes hamiltoniens
- Label
- Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson
- Bibliography note
- Includes bibliographical references (pages 357-369) 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
- 1. Second Order Scalar Difference Equations -- 2. Continued Fractions -- 3. Symplectic Systems -- 4. Discrete Variational Theory -- 5. Symmetric Three Term Recurrence Relations -- 6. Discrete Riccati Equations for Three Term Recurrences -- 7. Green's Functions for Nonhomogeneous Second Order Difference Equations -- 8. Disconjugacy Criteria -- 9. Discrete Linear Hamiltonian Systems
- Control code
- 35638013
- Dimensions
- 25 cm
- Extent
- xiv, 374 pages
- Isbn
- 9780792342779
- Isbn Type
- (hc : acid-free paper)
- Lccn
- 96045991
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- System control number
- (OCoLC)35638013
- Label
- Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson
- Bibliography note
- Includes bibliographical references (pages 357-369) 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
- 1. Second Order Scalar Difference Equations -- 2. Continued Fractions -- 3. Symplectic Systems -- 4. Discrete Variational Theory -- 5. Symmetric Three Term Recurrence Relations -- 6. Discrete Riccati Equations for Three Term Recurrences -- 7. Green's Functions for Nonhomogeneous Second Order Difference Equations -- 8. Disconjugacy Criteria -- 9. Discrete Linear Hamiltonian Systems
- Control code
- 35638013
- Dimensions
- 25 cm
- Extent
- xiv, 374 pages
- Isbn
- 9780792342779
- Isbn Type
- (hc : acid-free paper)
- Lccn
- 96045991
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- System control number
- (OCoLC)35638013
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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.library.missouri.edu/portal/Discrete-Hamiltonian-systems--difference/-lw9EgqnGgk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Discrete-Hamiltonian-systems--difference/-lw9EgqnGgk/">Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
