Mathematics of continuous and discrete dynamical systems : AMS special session in honor of Ronald Mickens's 70th birthday nonstandard finite-difference discretizations and nonlinear oscillations, January 9-10, 2013, San Diego, CA
This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and con...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | eBook Book |
| Language: | English |
| Published: |
Providence, R.I
American Mathematical Society
2014
|
| Series: | Contemporary mathematics |
| Subjects: | |
| ISBN: | 9780821898628, 0821898620 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and continuous-time dynamical systems arising in the natural and engineering sciences, in particular, the design of robust nonstandard finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well as the design of deterministic and stochastic models for epidemiological and ecological processes. Some of the specific topics covered in the book include the analysis of deterministic and stochastic SIR-type models, the assessment of cost-effectiveness of vaccination problems, finite-difference methods for oscillatory dynamical systems (including the Schrodinger equation and Brusselator system), the design of exact and elementary stable finite-difference methods, the study of a two-patch model with Allee effects and disease-modified fitness, the study of the delay differential equation model with application to circadian rhythm and the application of some special functions in the solutions of some problems arising in the natural and engineering sciences. A notable feature of the book is the collection of some relevant open problems, intended to help guide the direction of future research in the area. |
|---|---|
| AbstractList | This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and continuous-time dynamical systems arising in the natural and engineering sciences, in particular, the design of robust nonstandard finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well as the design of deterministic and stochastic models for epidemiological and ecological processes. Some of the specific topics covered in the book include the analysis of deterministic and stochastic SIR-type models, the assessment of cost-effectiveness of vaccination problems, finite-difference methods for oscillatory dynamical systems (including the Schrodinger equation and Brusselator system), the design of exact and elementary stable finite-difference methods, the study of a two-patch model with Allee effects and disease-modified fitness, the study of the delay differential equation model with application to circadian rhythm and the application of some special functions in the solutions of some problems arising in the natural and engineering sciences. A notable feature of the book is the collection of some relevant open problems, intended to help guide the direction of future research in the area. |
| Author | Gumel, Abba B. AMS Special Session in Honor of Ronald Mickens's 70th Birthday, Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations |
| Author_xml | – sequence: 1 fullname: Gumel, Abba B. – sequence: 2 fullname: AMS Special Session in Honor of Ronald Mickens's 70th Birthday, Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations |
| BackLink | https://cir.nii.ac.jp/crid/1130282271752255104$$DView record in CiNii |
| BookMark | eNpVUduOEzEMHQQrwS79Bz8gIaSOlGQuSXirynLTVkgs4rXKJA4TOk3QOAW6_7v_QbqFB15s2T4-51i-rJ7EFPFRtdBS8Vaylveql48faqYEV1r1Ql1Ul4LxhrWtbtXTakH0nTHGRd8LLp5V9xuTR9ybHCxB8mBTzCEe0oHARAcukJ0xI7hjNPtgzQR0pIx7gtew2twC_UAbTl0kCilCiDCmmOYT1-cUzeRgE-wOI70kkCyPMIQ5j84cobinXETM7MCHGDLWLniPM0aL_5TDXbFWgA9uysYUIprCTjZM03m0hI8mHsx8BF1ztoTTuUu4NRHeBPyWlrBePa8uvJkIF3_zVfX17fWX9fv65tO7D-vVTW1E06vftR4a3Q-y18qh9HYQTDMzSG25V8xqqzvW9Z3zwlvmhBhQacHLkmxbj841zVX16kxsaIe_aExTpu3PCYeUdrT971EF--KMjSFsbThFXh4llBCSy06IruOsbf4AVtuTVQ |
| ContentType | eBook Book |
| DBID | RYH |
| DEWEY | 515.392 |
| DatabaseName | CiNii Complete |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics |
| DocumentTitleAlternate | Analysis of dynamical systems |
| EISBN | 9781470416867 1470416867 |
| ExternalDocumentID | 9781470416867 BB15969319 |
| GroupedDBID | 38. AABBV AAWPO ABARN ABQPQ ACLGV ADVEM AEKGI AERYV AFOJC AHWGJ AJFER ALMA_UNASSIGNED_HOLDINGS AZZ BBABE CZZ FP~ GEOUK RYH S5T |
| ID | FETCH-LOGICAL-a2368x-9b396b7698de7fcb2090ab79c1f80c9c950565df2fc0d22be89219b3744fedd33 |
| ISBN | 9780821898628 0821898620 |
| IngestDate | Fri Nov 08 04:32:35 EST 2024 Thu Jun 26 22:27:05 EDT 2025 |
| IsPeerReviewed | false |
| IsScholarly | false |
| LCCN | 2013044948 |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-a2368x-9b396b7698de7fcb2090ab79c1f80c9c950565df2fc0d22be89219b3744fedd33 |
| Notes | Includes bibliographical references |
| PageCount | 1 |
| ParticipantIDs | askewsholts_vlebooks_9781470416867 nii_cinii_1130282271752255104 |
| PublicationCentury | 2000 |
| PublicationDate | c2014 2014-06-30 |
| PublicationDateYYYYMMDD | 2014-01-01 2014-06-30 |
| PublicationDate_xml | – year: 2014 text: c2014 |
| PublicationDecade | 2010 |
| PublicationPlace | Providence, R.I |
| PublicationPlace_xml | – name: Providence, R.I |
| PublicationSeriesTitle | Contemporary mathematics |
| PublicationYear | 2014 |
| Publisher | American Mathematical Society |
| Publisher_xml | – name: American Mathematical Society |
| SSID | ssj0001266212 |
| Score | 1.9185156 |
| Snippet | This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald... |
| SourceID | askewsholts nii |
| SourceType | Aggregation Database Publisher |
| SubjectTerms | Biology and other natural sciences -- Mathematical biology in general -- General biology and biomathematics Difference and functional equations -- Difference equations -- Bifurcation theory Difference and functional equations -- Difference equations -- Stability theory Differential equations Differential equations -- Asymptotic theory -- Congresses Dynamical systems and ergodic theory -- Approximation methods and numerical treatment of dynamical systems -- Computational methods for bifurcation problems Mickens, Ronald E., 1943 Nonlinear oscillations Nonlinear oscillations -- Congresses Ordinary differential equations -- Qualitative theory -- Nonlinear oscillations, coupled oscillators Ordinary differential equations -- Stability theory -- Asymptotic properties Ordinary differential equations -- Stability theory -- Global stability Ordinary differential equations -- Stability theory -- Stability |
| Title | Mathematics of continuous and discrete dynamical systems : AMS special session in honor of Ronald Mickens's 70th birthday nonstandard finite-difference discretizations and nonlinear oscillations, January 9-10, 2013, San Diego, CA |
| URI | https://cir.nii.ac.jp/crid/1130282271752255104 https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9781470416867 |
| Volume | 618 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lj9MwELZK4cBeeGsXWDRCSBzaoDzaOOZG9ymBuohd0N6q2ElotFWKmrbqH0biZzBju05UkFYcuFhNKk09nU-eh-fB2Bs1VEWUBqGH4Mi9AR8OvEQo3bYS3Z7UR2dOFwp_4uNxcn0tPnc6v7a1MOsZr6pksxE__quo8R0Km0pn_0Hcjii-wM8odFxR7LjuWMTu0Q5kch1Ya5MsTkMgVpTiSsFxKr9doIXcy8wMeqoTMd3KdVSAHPrazKLv1aZXB4VCpvNqru8RvugYMmXZ3-RkevO6x_3ltCfLxXJKtSSVMTR1WKIoyZL1tsNX8Oiwv74t-tQ7qkyXjhTpox6e2aQ8k7pbrSibT-DxTc9oPkQmfF3hGZ1_N-Fdh70zPF9NroGUaW_0zoEYebq0PF02PJ3fxtPI8mTutRq2Tg1bxw1bx39ha-zYumix1Y6uBIOd6EpzbeZESFueuy4tzhVHUypIBPqHSaNZXb7jaIRWYywi6k97Bx28Lrt7dnLx9WMrGhjHaEToBqWWjm1I1tDdY3tpfYOqD9XiskZbqCrLli109ZB1qT7mEevk1WP2wHoxYHVE_YT9bOEQ5gU0OAT8e2CLQ3A4BItDeA8oMbAoBItCKCvQKCRaRmJgJfa2BpIXbDEILQzCHxiEHQzq3TgMQhuDfbAIBEJgHwh_fUD0gUZfH44-PGXfTk-ujs49O0zES8MoTjaekJGIJY9FkuW8UDL0hZ9KLlRQJL4SSpAvMMyKsFB-FoYyTwRqcxnxwaDIsyyKnrEubirfZ0BuOV3PKxpclWZIQwYxlZArmaXSzw7Y65akJuuZTnyoJ7q_HPfRB0pifsAOUYATVdIaUP4A2uocrXnUsKgoB89v-f4Fu98A9iXrLher_JDdU-tlWS9eWYD9BhPTxUM |
| linkProvider | ProQuest Ebooks |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.title=Mathematics+of+continuous+and+discrete+dynamical+systems+%3A+AMS+special+session+in+honor+of+Ronald+Mickens%27s+70th+birthday+nonstandard+finite-difference+discretizations+and+nonlinear+oscillations%2C+January+9-10%2C+2013%2C+San+Diego%2C+CA&rft.au=Gumel%2C+Abba+B.&rft.au=AMS+Special+Session+in+Honor+of+Ronald+Mickens%27s+70th+Birthday%2C+Nonstandard+Finite-Difference+Discretizations+and+Nonlinear+Oscillations&rft.date=2014-01-01&rft.pub=American+Mathematical+Society&rft.isbn=9780821898628&rft.externalDocID=BB15969319 |
| thumbnail_m | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97814704%2F9781470416867.jpg |