
Previous Article
Representation formula for the plane closed elastic curves
 PROC Home
 This Issue

Next Article
Positive steady states for a preypredator crossdiffusion system with a protection zone and Holling type II functional response
Efficient recurrence relations for univariate and multivariate Taylor series coefficients
1.  Davidson College, Box 7002, Davidson, NC 280357002, United States 
References:
show all references
References:
[1] 
Ferenc A. Bartha, Hans Z. MuntheKaas. Computing of Bseries by automatic differentiation. Discrete & Continuous Dynamical Systems  A, 2014, 34 (3) : 903914. doi: 10.3934/dcds.2014.34.903 
[2] 
David W. Pravica, Michael J. Spurr. Unique summing of formal power series solutions to advanced and delayed differential equations. Conference Publications, 2005, 2005 (Special) : 730737. doi: 10.3934/proc.2005.2005.730 
[3] 
Oktay Veliev. Spectral expansion series with parenthesis for the nonselfadjoint periodic differential operators. Communications on Pure & Applied Analysis, 2019, 18 (1) : 397424. doi: 10.3934/cpaa.2019020 
[4] 
Bin Wang, Arieh Iserles. Dirichlet series for dynamical systems of firstorder ordinary differential equations. Discrete & Continuous Dynamical Systems  B, 2014, 19 (1) : 281298. doi: 10.3934/dcdsb.2014.19.281 
[5] 
Armengol Gasull, Francesc Mañosas. Subseries and signed series. Communications on Pure & Applied Analysis, 2019, 18 (1) : 479492. doi: 10.3934/cpaa.2019024 
[6] 
Nikita Kalinin, Mikhail Shkolnikov. Introduction to tropical series and wave dynamic on them. Discrete & Continuous Dynamical Systems  A, 2018, 38 (6) : 28272849. doi: 10.3934/dcds.2018120 
[7] 
Chuang Peng. Minimum degrees of polynomial models on time series. Conference Publications, 2005, 2005 (Special) : 720729. doi: 10.3934/proc.2005.2005.720 
[8] 
Ruiqi Li, Yifan Chen, Xiang Zhao, Yanli Hu, Weidong Xiao. Time series based urban air quality predication. Big Data & Information Analytics, 2016, 1 (2&3) : 171183. doi: 10.3934/bdia.2016003 
[9] 
Ricardo García López. A note on Lseries and Hodge spectrum of polynomials. Electronic Research Announcements, 2009, 16: 5662. doi: 10.3934/era.2009.16.56 
[10] 
G. Gentile, V. Mastropietro. Convergence of Lindstedt series for the non linear wave equation. Communications on Pure & Applied Analysis, 2004, 3 (3) : 509514. doi: 10.3934/cpaa.2004.3.509 
[11] 
Y. T. Li, R. Wong. Integral and series representations of the dirac delta function. Communications on Pure & Applied Analysis, 2008, 7 (2) : 229247. doi: 10.3934/cpaa.2008.7.229 
[12] 
Bun Theang Ong, Masao Fukushima. Global optimization via differential evolution with automatic termination. Numerical Algebra, Control & Optimization, 2012, 2 (1) : 5767. doi: 10.3934/naco.2012.2.57 
[13] 
Vassili Gelfreich, Carles Simó. Highprecision computations of divergent asymptotic series and homoclinic phenomena. Discrete & Continuous Dynamical Systems  B, 2008, 10 (2&3, September) : 511536. doi: 10.3934/dcdsb.2008.10.511 
[14] 
Mario Pulvirenti, Sergio Simonella, Anton Trushechkin. Microscopic solutions of the BoltzmannEnskog equation in the series representation. Kinetic & Related Models, 2018, 11 (4) : 911931. doi: 10.3934/krm.2018036 
[15] 
Michele V. Bartuccelli, G. Gentile, Kyriakos V. Georgiou. Kam theory, Lindstedt series and the stability of the upsidedown pendulum. Discrete & Continuous Dynamical Systems  A, 2003, 9 (2) : 413426. doi: 10.3934/dcds.2003.9.413 
[16] 
Philippe Chartier, Ander Murua, Jesús María SanzSerna. A formal series approach to averaging: Exponentially small error estimates. Discrete & Continuous Dynamical Systems  A, 2012, 32 (9) : 30093027. doi: 10.3934/dcds.2012.32.3009 
[17] 
Michel PotierFerry, Foudil Mohri, Fan Xu, Noureddine Damil, Bouazza Braikat, Khadija Mhada, Heng Hu, Qun Huang, Saeid Nezamabadi. Cellular instabilities analyzed by multiscale Fourier series: A review. Discrete & Continuous Dynamical Systems  S, 2016, 9 (2) : 585597. doi: 10.3934/dcdss.2016013 
[18] 
V. Mastropietro, Michela Procesi. Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities. Communications on Pure & Applied Analysis, 2006, 5 (1) : 128. doi: 10.3934/cpaa.2006.5.1 
[19] 
Nancy López Reyes, Luis E. Benítez Babilonia. A discrete hierarchy of double bracket equations and a class of negative power series. Mathematical Control & Related Fields, 2017, 7 (1) : 4152. doi: 10.3934/mcrf.2017003 
[20] 
Ahmad Deeb, A. Hamdouni, Dina Razafindralandy. Comparison between BorelPadé summation and factorial series, as time integration methods. Discrete & Continuous Dynamical Systems  S, 2016, 9 (2) : 393408. doi: 10.3934/dcdss.2016003 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]