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001 9781351190398
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006 m o d
007 cr cnu|||unuuu
008 200429s2020 flu ob 001 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9781351190398
_q(electronic bk.)
020 _a1351190393
_q(electronic bk.)
020 _z9780815392613
020 _a9781351190374
_q(electronic bk. : EPUB)
020 _a1351190377
_q(electronic bk. : EPUB)
020 _a9781351190381
_q(electronic bk. : PDF)
020 _a1351190385
_q(electronic bk. : PDF)
035 _a(OCoLC)1152525343
035 _a(OCoLC-P)1152525343
050 4 _aQA372
_b.B6816 2020eb
082 0 4 _a515/.352
_223
100 1 _aBorzì, Alfio,
_eauthor.
245 1 0 _aModelling with ordinary differential equations :
_ba comprehensive approach /
_cAlfio Borzì.
264 1 _aBoca Raton, FL :
_bCRC Press,
_c2020.
300 _a1 online resource (xvi, 388 pages).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNumerical Analysis and Scientific Computing Series
505 0 _a1. Introduction. 2. Elementary solution methods for simple ODEs. 3. Theory of ordinary differential equations. 4. Systems of ordinary differentail equations. 5. Ordinary differential equations of order n. 6. Stability of ODE systems. 7. Boundary and eigenvalue problems.8. Numerical solution of ODE problems. 9. ODEs and the calculus of variations. 10. Optimal control of ODE models. 11. Inverse problems with ODE models. 12. Differential games. 13. Stochastic differential equations. 14. Neural networks and ODE problems.
520 _aModelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games. The book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book. Features: Provides insight into rigorous mathematical issues concerning various topics, while discussing many different models of interest in different disciplines (biology, chemistry, economics, medicine, physics, social sciences, etc.) Suitable for undergraduate and graduate students and as an introduction for researchers in engineering and the sciences Accompanied by codes which allow the reader to apply the numerical methods discussed in this book in those cases where analytical solutions are not available
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aDifferential equations.
650 0 _aMathematical models.
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781351190398
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c131134
_d131134