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Mathematics of continuous and discrete dynamical systems. AMS special session in honor of Ronald Mickens’s 70th birthday on nonstandard finite-difference discretizations and nonlinear oscillations, San Diego, CA, USA, January 9–10, 2013. Proceedings. (English) Zbl 1294.34001

Contemporary Mathematics 618. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9862-8/pbk; 978-1-4704-1686-7/ebook). ix, 310 p. (2014).

Show indexed articles as search result.

The articles of this volume will be reviewed individually.
Indexed articles:
Allen, L. J. S.; Allen, E. J., Deterministic and stochastic SIR epidemic models with power function transmission and recovery rates, 1-15 [Zbl 1335.92088]
Elbasha, Elamin H.; Dasbach, Erik. J., Evaluating the cost-effectiveness of vaccination programs, 17-47 [Zbl 1346.92070]
Kang, Yun; Castillo-Chavez, Carlos, A simple two-patch epidemiological model with Allee effects and disease-modified fitness, 49-88 [Zbl 1361.37074]
Dimitrov, Dobromir T.; Kojouharov, Hristo V., Designing NSFD methods for models of population interactions, 89-111 [Zbl 1327.37024]
Biographical summary of Ronald E. Mickens, ix [Zbl 1329.01046]
Lubuma, Jean M.-S.; Mureithi, Eunice W.; Terefe, Yibeltal A., Nonstandard discretizations of the SIS epidemiological model with and without diffusion, 113-132 [Zbl 1335.92098]
Vyasarayani, C. P.; Kalmar-Nagy, Tamas, Galerkin-least squares approximations for delay differential equations: application to a circadian rhythm model, 133-145 [Zbl 1342.34086]
Roeger, Lih-Ing W., Exact finite difference schemes, 147-161 [Zbl 1330.65119]
Kroshko, Andrew; Sharomi, Oluwaseun; Gumel, Abba B.; Spiteri, Raymond J., Design and analysis of NSFD methods for the diffusion-free Brusselator, 163-180 [Zbl 1330.65118]
Moxley, Frederick Ira III; Chuss, David T.; Dai, Weizhong, An implicit generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations, 181-193 [Zbl 1330.65136]
Macías-Diaz, J. E., A dynamically consistent Mickens-type discretization of the Hodgkin-Huxley partial differential equation with non-polynomial reaction law, 195-215 [Zbl 1330.65135]
Ehrhardt, Matthias, Nonstandard finite difference schemes for the Black-Scholes equation, 217-227 [Zbl 1327.91065]
Cveticanin, L., An analytical method for truly nonlinear oscilattors, 229-245 [Zbl 1334.34042]
Jordan, P. M., A note on the Lambert \(W\)-function: applications in the mathematical and physical sciences, 247-263 [Zbl 1331.33046]
Rucker, Sandra A., Leah-cosine and -sine functions: definitions and elementary properties, 265-280 [Zbl 1329.33001]
Kovacic, Ivana, On the use of special functions for studying truly nonlinear conservative oscillators, 281-298 [Zbl 1329.34077]
Mickens, Ronald E., I wish I knew how to \(\ldots\), 299-310 [Zbl 1329.33028]

MSC:

34-06 Proceedings, conferences, collections, etc. pertaining to ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
37M20 Computational methods for bifurcation problems in dynamical systems
39A28 Bifurcation theory for difference equations
39A30 Stability theory for difference equations
92B05 General biology and biomathematics
00B25 Proceedings of conferences of miscellaneous specific interest

Biographic References:

Mickens, Ronald
Full Text: DOI