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 |