Liu, Li; Liu, Shengping; Xie, Hui; Xiong, Fansheng; Yu, Tengchao; Xiao, Mengjuan; Liu, Lufeng; Yong, Heng Discontinuity computing using physics-informed neural networks. (English) Zbl 07784056 J. Sci. Comput. 98, No. 1, Paper No. 22, 38 p. (2024). MSC: 65M99 68T07 35L60 76N10 76L05 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Sci. Comput. 98, No. 1, Paper No. 22, 38 p. (2024; Zbl 07784056) Full Text: DOI arXiv
Sprott, Julien Clinton Elegant automation. Robotic analysis of chaotic systems. (English) Zbl 1516.37003 Singapore: World Scientific (ISBN 978-981-12-7751-1/hbk; 978-981-12-7753-5/ebook). xii, 335 p. (2023). MSC: 37-02 68-02 37D45 37M05 34C28 34C15 70K55 68T05 68T07 PDFBibTeX XMLCite \textit{J. C. Sprott}, Elegant automation. Robotic analysis of chaotic systems. Singapore: World Scientific (2023; Zbl 1516.37003) Full Text: DOI
Ahmadi, Ghasem Stochastic gradient-based hyperbolic orthogonal neural networks for nonlinear dynamic systems identification. (English) Zbl 07694649 J. Math. Model. 10, No. 3, 529-547 (2022). MSC: 93B30 93C10 68T07 PDFBibTeX XMLCite \textit{G. Ahmadi}, J. Math. Model. 10, No. 3, 529--547 (2022; Zbl 07694649) Full Text: DOI
Zhu, Xingwen; He, Mingyan; Sun, Pengtao Comparative studies on mesh-free deep neural network approach versus finite element method for solving coupled nonlinear hyperbolic/wave equations. (English) Zbl 1513.65394 Int. J. Numer. Anal. Model. 19, No. 5, 603-629 (2022). MSC: 65M60 65M06 65N30 65K10 65M12 35L57 35L75 35L70 68Q32 68T07 76B25 35C08 35Q53 PDFBibTeX XMLCite \textit{X. Zhu} et al., Int. J. Numer. Anal. Model. 19, No. 5, 603--629 (2022; Zbl 1513.65394) Full Text: Link
Barbu, Tudor Parametric and geometric PDE-based models for automatic image segmentation,. (English) Zbl 07562896 Appl. Sci. 24, 1-11 (2022). MSC: 68U10 94A08 93E11 60G35 35A15 35-XX 35Kxx 35K10 35K55 35Lxx 35L70 14Jxx PDFBibTeX XMLCite \textit{T. Barbu}, Appl. Sci. 24, 1--11 (2022; Zbl 07562896) Full Text: Link
Dukhnovsky, S. A. New exact solutions for the time fractional Broadwell system. (English) Zbl 1489.35026 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 53-66 (2022). MSC: 35C07 35L60 35Q20 35R11 68W30 PDFBibTeX XMLCite \textit{S. A. Dukhnovsky}, Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 53--66 (2022; Zbl 1489.35026) Full Text: DOI
Papapicco, Davide; Demo, Nicola; Girfoglio, Michele; Stabile, Giovanni; Rozza, Gianluigi The neural network shifted-proper orthogonal decomposition: a machine learning approach for non-linear reduction of hyperbolic equations. (English) Zbl 1507.65208 Comput. Methods Appl. Mech. Eng. 392, Article ID 114687, 20 p. (2022). MSC: 65M99 65M08 68T07 PDFBibTeX XMLCite \textit{D. Papapicco} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114687, 20 p. (2022; Zbl 1507.65208) Full Text: DOI arXiv
Boreale, Michele; Collodi, Luisa A linear-algebraic method to compute polynomial PDE conservation laws. (English) Zbl 1475.35124 J. Symb. Comput. 108, 55-72 (2022). MSC: 35G50 35L65 68W30 PDFBibTeX XMLCite \textit{M. Boreale} and \textit{L. Collodi}, J. Symb. Comput. 108, 55--72 (2022; Zbl 1475.35124) Full Text: DOI
Kumar, Santosh; Alam, Khursheed PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity. (English) Zbl 1499.35416 Comput. Methods Differ. Equ. 9, No. 4, 1100-1108 (2021). MSC: 35L70 65M06 76R50 68U10 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{K. Alam}, Comput. Methods Differ. Equ. 9, No. 4, 1100--1108 (2021; Zbl 1499.35416) Full Text: DOI
Barbu, Tudor Nonlinear PDE-based models for photon-limited image restoration. (English) Zbl 07455322 Appl. Sci. 23, 5-16 (2021). MSC: 68U10 94A08 93E11 60G35 35A15 35-XX 35Kxx 35K10 35K55 35Lxx 35L70 PDFBibTeX XMLCite \textit{T. Barbu}, Appl. Sci. 23, 5--16 (2021; Zbl 07455322) Full Text: Link
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni Worst-case recovery guarantees for least squares approximation using random samples. (English) Zbl 1484.41004 Constr. Approx. 54, No. 2, 295-352 (2021). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 41A10 41A25 41A55 41A60 41A63 42A10 62J02 65D32 68W40 94A20 PDFBibTeX XMLCite \textit{L. Kämmerer} et al., Constr. Approx. 54, No. 2, 295--352 (2021; Zbl 1484.41004) Full Text: DOI arXiv
Gao, Zhen; Liu, Qi; Hesthaven, Jan S.; Wang, Bao-Shan; Don, Wai Sun; Wen, Xiao Non-intrusive reduced order modeling of convection dominated flows using artificial neural networks with application to Rayleigh-Taylor instability. (English) Zbl 1528.65070 Commun. Comput. Phys. 30, No. 1, 97-123 (2021). MSC: 65M60 65M99 65D12 65L04 65L06 68T07 76N15 76L05 76E17 76E30 35L65 35Q35 PDFBibTeX XMLCite \textit{Z. Gao} et al., Commun. Comput. Phys. 30, No. 1, 97--123 (2021; Zbl 1528.65070) Full Text: DOI
Sychou, Uladzislau A single-node classifier implementation on Chua oscillator within a physical reservoir computing framework. (English) Zbl 07395183 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 11, Article ID 2150161, 9 p. (2021). MSC: 68T05 70Kxx 37Dxx PDFBibTeX XMLCite \textit{U. Sychou}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 11, Article ID 2150161, 9 p. (2021; Zbl 07395183) Full Text: DOI
Tyacke, J. C.; Dai, Y.; Watson, R.; Tucker, P. G. Design optimisation of labyrinth seals using LES. (English) Zbl 1486.65142 Math. Model. Nat. Phenom. 16, Paper No. 2, 23 p. (2021). MSC: 65M08 65M06 65N06 76F65 76N15 68T07 68W50 65Y05 35L70 PDFBibTeX XMLCite \textit{J. C. Tyacke} et al., Math. Model. Nat. Phenom. 16, Paper No. 2, 23 p. (2021; Zbl 1486.65142) Full Text: DOI
Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L. (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. (English) Zbl 1466.78019 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105503, 25 p. (2021). MSC: 78A60 37D45 65Y10 68W30 34C23 34D45 PDFBibTeX XMLCite \textit{K. Pusuluri} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105503, 25 p. (2021; Zbl 1466.78019) Full Text: DOI arXiv
Bayraktar, Erhan; Ekren, Ibrahim; Zhang, Yili On the asymptotic optimality of the comb strategy for prediction with expert advice. (English) Zbl 07420064 Ann. Appl. Probab. 30, No. 6, 2517-2546 (2020). MSC: 68T05 35J60 35L02 49K45 49L20 60H30 91B06 93E20 PDFBibTeX XMLCite \textit{E. Bayraktar} et al., Ann. Appl. Probab. 30, No. 6, 2517--2546 (2020; Zbl 07420064) Full Text: DOI arXiv Link
Cordesse, Pierre; Massot, Marc Entropy supplementary conservation law for non-linear systems of PDEs with non-conservative terms: application to the modelling and analysis of complex fluid flows using computer algebra. (English) Zbl 1460.35225 Commun. Math. Sci. 18, No. 2, 515-534 (2020). MSC: 35L65 35L60 68W30 76N15 76T10 82D10 PDFBibTeX XMLCite \textit{P. Cordesse} and \textit{M. Massot}, Commun. Math. Sci. 18, No. 2, 515--534 (2020; Zbl 1460.35225) Full Text: DOI arXiv
Zeidan, Dia; Chau, Chi Kin; Lu, Tzon-tzer; Zheng, Wei-quan Mathematical studies of the solution of Burgers’ equations by Adomian decomposition method. (English) Zbl 1447.35012 Math. Methods Appl. Sci. 43, No. 5, 2171-2188 (2020). MSC: 35A20 35C05 35K58 35L60 68W30 74H10 PDFBibTeX XMLCite \textit{D. Zeidan} et al., Math. Methods Appl. Sci. 43, No. 5, 2171--2188 (2020; Zbl 1447.35012) Full Text: DOI
Holm, Håvard H.; Sætra, Martin L.; Brodtkorb, André R. Data assimilation for ocean drift trajectories using massive ensembles and GPUs. (English) Zbl 1454.65089 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 715-723 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N08 62M99 60G35 35L65 76B15 68N19 65Y10 65Y05 86A05 PDFBibTeX XMLCite \textit{H. H. Holm} et al., Springer Proc. Math. Stat. 323, 715--723 (2020; Zbl 1454.65089) Full Text: DOI Link
Majee, Sudeb; Ray, Rajendra K.; Majee, Ananta K. A gray level indicator-based regularized telegraph diffusion model: application to image despeckling. (English) Zbl 1444.35111 SIAM J. Imaging Sci. 13, No. 2, 844-870 (2020). MSC: 35L20 35L71 65M06 68U10 PDFBibTeX XMLCite \textit{S. Majee} et al., SIAM J. Imaging Sci. 13, No. 2, 844--870 (2020; Zbl 1444.35111) Full Text: DOI arXiv
Barbu, Tudor Compound second-order hyperbolic partial differential equation-based structural interpolation model. (English) Zbl 1423.35251 Appl. Sci. 21, 27-33 (2019). MSC: 35L70 60G35 65L12 68U10 94A08 35L20 65M06 PDFBibTeX XMLCite \textit{T. Barbu}, Appl. Sci. 21, 27--33 (2019; Zbl 1423.35251) Full Text: Link
Mishra, Rajiv Kumar; Sinha, Abhinav Event-triggered sliding mode based consensus tracking in second order heterogeneous nonlinear multi-agent systems. (English) Zbl 1405.93062 Eur. J. Control 45, 30-44 (2019). MSC: 93B12 93C65 93A14 68T42 93B50 93B35 93C10 93D05 PDFBibTeX XMLCite \textit{R. K. Mishra} and \textit{A. Sinha}, Eur. J. Control 45, 30--44 (2019; Zbl 1405.93062) Full Text: DOI
Barth, Andrea; Kröker, Ilja Finite volume methods for hyperbolic partial differential equations with spatial noise. (English) Zbl 1405.65102 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer (ISBN 978-3-319-91544-9/hbk; 978-3-319-91545-6/ebook). Springer Proceedings in Mathematics & Statistics 236, 125-135 (2018). MSC: 65M08 35R60 68U20 35L99 65C30 60H35 60G60 PDFBibTeX XMLCite \textit{A. Barth} and \textit{I. Kröker}, Springer Proc. Math. Stat. 236, 125--135 (2018; Zbl 1405.65102) Full Text: DOI
Huang, Deqing; Li, Xuefang; He, Wei; Zhang, Shuang Iterative learning control for boundary tracking of uncertain nonlinear wave equations. (English) Zbl 1402.93166 J. Franklin Inst. 355, No. 17, 8441-8461 (2018). MSC: 93C41 93C10 93C20 68T05 93B35 PDFBibTeX XMLCite \textit{D. Huang} et al., J. Franklin Inst. 355, No. 17, 8441--8461 (2018; Zbl 1402.93166) Full Text: DOI
Li, Tong; Park, Jeungeun Stability of traveling waves of models for image processing with non-convex nonlinearity. (English) Zbl 1394.35034 Commun. Pure Appl. Anal. 17, No. 3, 959-985 (2018). MSC: 35B35 35B40 35B45 35C07 35L65 68U10 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Park}, Commun. Pure Appl. Anal. 17, No. 3, 959--985 (2018; Zbl 1394.35034) Full Text: DOI
Immler, Fabian A verified ODE solver and the Lorenz attractor. (English) Zbl 1448.68460 J. Autom. Reasoning 61, No. 1-4, 73-111 (2018). MSC: 68V15 34-04 34A34 37D45 65G20 65L05 PDFBibTeX XMLCite \textit{F. Immler}, J. Autom. Reasoning 61, No. 1--4, 73--111 (2018; Zbl 1448.68460) Full Text: DOI
Saha Ray, Santanu Numerical analysis with algorithms and programming. (English) Zbl 1359.65002 Boca Raton, FL: CRC Press (ISBN 978-1-4987-4174-3/hbk; 978-1-4987-4182-8/ebook). xix, 685 p. (2016). Reviewer: Hang Lau (Montréal) MSC: 65-01 68N15 65Y15 65H05 65H10 65D05 65D07 65D25 65D32 65B15 65F05 65F10 65L06 65L10 65L12 65L60 65F15 65D10 65M06 35K20 35L20 65N06 35J05 65N30 PDFBibTeX XMLCite \textit{S. Saha Ray}, Numerical analysis with algorithms and programming. Boca Raton, FL: CRC Press (2016; Zbl 1359.65002)
Sætra, Martin L.; Brodtkorb, André R.; Lie, Knut-Andreas Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations. (English) Zbl 1330.76088 J. Sci. Comput. 63, No. 1, 23-48 (2015). MSC: 76M12 65M08 76B15 35L65 65M50 65Y10 68N19 PDFBibTeX XMLCite \textit{M. L. Sætra} et al., J. Sci. Comput. 63, No. 1, 23--48 (2015; Zbl 1330.76088) Full Text: DOI
Wang, Liyan; Xu, Jiajia; Li, Haiyan A stream cipher algorithm based on two discrete chaotic dynamical systems. (Chinese. English summary) Zbl 1324.37014 J. Dalian Univ. Technol. 54, No. 5, 581-588 (2014). MSC: 37D45 94A60 68P25 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Dalian Univ. Technol. 54, No. 5, 581--588 (2014; Zbl 1324.37014) Full Text: DOI
Fu, Qin Iterative learning control for second order nonlinear hyperbolic distributed parameter systems. (Chinese. English summary) Zbl 1313.93083 J. Syst. Sci. Math. Sci. 34, No. 3, 284-293 (2014). MSC: 93C10 93C40 68T05 93C20 PDFBibTeX XMLCite \textit{Q. Fu}, J. Syst. Sci. Math. Sci. 34, No. 3, 284--293 (2014; Zbl 1313.93083)
Cheviakov, Alexei F. Symbolic computation of nonlocal symmetries and nonlocal conservation laws of partial differential equations using the GeM package for Maple. (English) Zbl 1309.74075 Ganghoffer, Jean-François (ed.) et al., Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Cham: Springer (ISBN 978-3-319-08295-0/hbk; 978-3-319-08296-7/ebook). Lecture Notes in Applied and Computational Mechanics 73, 165-184 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 74S30 68W30 35L65 35Q74 PDFBibTeX XMLCite \textit{A. F. Cheviakov}, Lect. Notes Appl. Comput. Mech. 73, 165--184 (2014; Zbl 1309.74075) Full Text: DOI
Jefferson, G. F.; Carminati, J. ASP: automated symbolic computation of approximate symmetries of differential equations. (English) Zbl 1306.65267 Comput. Phys. Commun. 184, No. 3, 1045-1063 (2013). MSC: 65M99 35B06 65Y15 68W30 35L70 PDFBibTeX XMLCite \textit{G. F. Jefferson} and \textit{J. Carminati}, Comput. Phys. Commun. 184, No. 3, 1045--1063 (2013; Zbl 1306.65267) Full Text: DOI
Li, Yunxia; Li, Wenting; Liang, Chen; Jiang, Kun; Zhou, Xiaowei A discrete MKdV auxiliary equation method for NDDEs. (English) Zbl 1299.65192 J. Nat. Sci. Heilongjiang Univ. 30, No. 4, 453-457 (2013). MSC: 65M06 68W30 35Q53 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Nat. Sci. Heilongjiang Univ. 30, No. 4, 453--457 (2013; Zbl 1299.65192)
Zhang, Sheng A generalization of the \(G^{\prime}/G\)-expansion method and its application to Jimbo-Miwa equation. (English) Zbl 1283.35114 Bull. Malays. Math. Sci. Soc. (2) 36, No. 3, 699-708 (2013). MSC: 35Q53 35C09 68W30 35C07 35C08 PDFBibTeX XMLCite \textit{S. Zhang}, Bull. Malays. Math. Sci. Soc. (2) 36, No. 3, 699--708 (2013; Zbl 1283.35114) Full Text: Link
Luo, Songjiang; Qiu, Shuisheng; Chen, Xu A spatio-temporal chaotic pseudorandom number generator based on coupled sawtooth map. (Chinese. English summary) Zbl 1274.94095 J. Shenzhen Univ., Sci. Eng. 29, No. 4, 335-340 (2012). MSC: 94A60 37D45 65C10 68P25 PDFBibTeX XMLCite \textit{S. Luo} et al., J. Shenzhen Univ., Sci. Eng. 29, No. 4, 335--340 (2012; Zbl 1274.94095) Full Text: DOI
Huang, Yong; Shang, Yadong Abundant explicit and exact solutions for a class of nonlinear reaction-diffusion equations. (Chinese. English summary) Zbl 1265.35151 J. Guangzhou Univ., Nat. Sci. 11, No. 1, 1-9 (2012). MSC: 35K57 68W30 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Y. Shang}, J. Guangzhou Univ., Nat. Sci. 11, No. 1, 1--9 (2012; Zbl 1265.35151)
Kaptsov, O. V. On the Goursat classification problem. (English. Russian original) Zbl 1255.35165 Program. Comput. Softw. 38, No. 2, 102-104 (2012); translation from Programmirovanie 38, No. 2 (2012). MSC: 35L65 68W30 35L70 PDFBibTeX XMLCite \textit{O. V. Kaptsov}, Program. Comput. Softw. 38, No. 2, 102--104 (2012; Zbl 1255.35165); translation from Programmirovanie 38, No. 2 (2012) Full Text: DOI
Ercsey-Ravasz, Maria; Toroczkai, Zoltan Optimization hardness as transient chaos in an analog approach to constraint satisfaction. arXiv:1208.0526 Preprint, arXiv:1208.0526 [cs.CC] (2012). MSC: 37D45 90C27 68Q10 68Q17 34G20 BibTeX Cite \textit{M. Ercsey-Ravasz} and \textit{Z. Toroczkai}, ``Optimization hardness as transient chaos in an analog approach to constraint satisfaction'', Preprint, arXiv:1208.0526 [cs.CC] (2012) Full Text: DOI arXiv OA License
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying Infinite sequence of conservation laws and analytic solutions for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. (English) Zbl 1264.35204 Commun. Theor. Phys. 55, No. 4, 629-634 (2011). MSC: 35Q53 76B15 35Q35 76B25 35C08 35N10 35L65 68W30 PDFBibTeX XMLCite \textit{X. Yu} et al., Commun. Theor. Phys. 55, No. 4, 629--634 (2011; Zbl 1264.35204) Full Text: DOI
Li, Liangliang; Chen, Yuanlong; Huang, Yu Nonisotropic spatiotemporal chaotic vibrations of the one-dimensional wave equation with a mixing transport term and general nonlinear boundary condition. (English) Zbl 1314.35070 J. Math. Phys. 51, No. 10, 102703, 22 p. (2010). MSC: 35L05 35J65 34B15 37D45 76F25 68U20 PDFBibTeX XMLCite \textit{L. Li} et al., J. Math. Phys. 51, No. 10, 102703, 22 p. (2010; Zbl 1314.35070) Full Text: DOI
Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver Numerical algorithms for perspective shape from shading. (English) Zbl 1198.68266 Kybernetika 46, No. 2, 207-225 (2010). MSC: 68T45 35L60 65N06 65N12 PDFBibTeX XMLCite \textit{M. Breuß} et al., Kybernetika 46, No. 2, 207--225 (2010; Zbl 1198.68266) Full Text: EuDML Link
Marco, Anderson Gonçalves; Martinez, Alexandre Souto; Bruno, Odemir Martinez Fast, parallel and secure cryptography algorithm using Lorenz’s attractor. (English) Zbl 1186.37046 Int. J. Mod. Phys. C 21, No. 3, 365-382 (2010). MSC: 37D45 94A60 68P25 PDFBibTeX XMLCite \textit{A. G. Marco} et al., Int. J. Mod. Phys. C 21, No. 3, 365--382 (2010; Zbl 1186.37046) Full Text: DOI arXiv
Dogaru, Radu; Dogaru, Ioana; Kim, Hyongsuk Binary chaos synchronization in elementary cellular automata. (English) Zbl 1179.37020 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 9, 2871-2884 (2009). MSC: 37B15 68Q80 34D06 37D45 PDFBibTeX XMLCite \textit{R. Dogaru} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 9, 2871--2884 (2009; Zbl 1179.37020) Full Text: DOI
Qin, Weiyang; Yang, Yongfeng; Zhang, Jinfu Controlling the chaotic response to a prospective external signal using back-propagation neural networks. (English) Zbl 1166.92003 Nonlinear Anal., Real World Appl. 10, No. 5, 2985-2989 (2009). MSC: 92B20 37D45 37N35 68T05 37N25 PDFBibTeX XMLCite \textit{W. Qin} et al., Nonlinear Anal., Real World Appl. 10, No. 5, 2985--2989 (2009; Zbl 1166.92003) Full Text: DOI
Shen, Liqun; Wang, Mao; Liu, Wanyu; Sun, Guanghui Prediction based chaos control via a new neural network. (English) Zbl 1227.34064 Phys. Lett., A 372, No. 46, 6916-6921 (2008). MSC: 34H10 82C32 34D45 37D45 68T05 90B06 PDFBibTeX XMLCite \textit{L. Shen} et al., Phys. Lett., A 372, No. 46, 6916--6921 (2008; Zbl 1227.34064) Full Text: DOI
Rosso, O. A.; Vicente, R.; Mirasso, C. R. Encryption test of pseudo-aleatory messages embedded on chaotic laser signals: an information theory approach. (English) Zbl 1217.94104 Phys. Lett., A 372, No. 7, 1018-1023 (2008). MSC: 94A60 37D45 78A60 94A12 94A17 68Q19 PDFBibTeX XMLCite \textit{O. A. Rosso} et al., Phys. Lett., A 372, No. 7, 1018--1023 (2008; Zbl 1217.94104) Full Text: DOI
Zhang, Xuefeng; Fan, Jiulun One-way hash function based on a piecewise logistic chaotic map. (Chinese. English summary) Zbl 1199.94085 J. Wuhan Univ., Nat. Sci. Ed. 54, No. 5, 588-592 (2008). MSC: 94A60 68P25 37D45 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{J. Fan}, J. Wuhan Univ., Nat. Sci. Ed. 54, No. 5, 588--592 (2008; Zbl 1199.94085)
Knapp, R. A method of lines framework in Mathematica. (English) Zbl 1154.65070 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1-2, 43-59 (2008). MSC: 65M20 65M06 68W30 35-04 35L70 35Q53 PDFBibTeX XMLCite \textit{R. Knapp}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1--2, 43--59 (2008; Zbl 1154.65070)
Yang, Xu-Dong; Ruan, Hang-Yu; Lou, Sen-Yue A Maple package on symbolic computation of conserved densities for \((1+1)\)-dimensional nonlinear evolution systems. (English) Zbl 1355.68297 Commun. Theor. Phys. 47, No. 6, 961-968 (2007). MSC: 68W30 35L65 35Q53 35G20 PDFBibTeX XMLCite \textit{X.-D. Yang} et al., Commun. Theor. Phys. 47, No. 6, 961--968 (2007; Zbl 1355.68297) Full Text: DOI
Zeng, Zhenbing; Wang, Weiming A new mechanical algorithm for solving nonlinear equations. (English) Zbl 1148.65085 Int. J. Sci. Comput. 1, No. 2, 185-198 (2007). MSC: 65M70 35L60 35K55 68W30 35L45 PDFBibTeX XMLCite \textit{Z. Zeng} and \textit{W. Wang}, Int. J. Sci. Comput. 1, No. 2, 185--198 (2007; Zbl 1148.65085)
Mainzer, Klaus Thinking in complexity. The computational dynamics of matter, mind and mankind. 5th revised and enlarged edition. (English) Zbl 1163.37001 Springer Complexity. Berlin: Springer (ISBN 978-3-540-72227-4/hbk). xviii, 482 p. (2007). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37-01 37D45 37N25 37N40 68T01 91B62 91B74 91D10 92B05 92B20 PDFBibTeX XMLCite \textit{K. Mainzer}, Thinking in complexity. The computational dynamics of matter, mind and mankind. 5th revised and enlarged edition. Berlin: Springer (2007; Zbl 1163.37001) Full Text: DOI
Zavadsky, Vyacheslav Image approximation by rectangular wavelet transform. (English) Zbl 1478.94093 J. Math. Imaging Vis. 27, No. 2, 129-138 (2007). MSC: 94A08 42C40 68U10 PDFBibTeX XMLCite \textit{V. Zavadsky}, J. Math. Imaging Vis. 27, No. 2, 129--138 (2007; Zbl 1478.94093) Full Text: DOI
Hereman, Willy Symbolic computation of conservation laws of nonlinear partial differential equations in multi-dimensions. (English) Zbl 1188.68364 Int. J. Quantum Chem. 106, No. 1, 278-299 (2006). MSC: 68W30 35L65 PDFBibTeX XMLCite \textit{W. Hereman}, Int. J. Quantum Chem. 106, No. 1, 278--299 (2006; Zbl 1188.68364) Full Text: DOI arXiv
Zhao, Rong; Xia, Tiecheng; Li, Ji A new further extended Riccati equation’s rational expansion method and its application. (Chinese. English summary) Zbl 1124.65099 J. Bohai Univ., Nat. Sci. 27, No. 3, 237-241 (2006). MSC: 65M70 35Q53 68W30 PDFBibTeX XMLCite \textit{R. Zhao} et al., J. Bohai Univ., Nat. Sci. 27, No. 3, 237--241 (2006; Zbl 1124.65099)
Song, Lina; Zhang, Hongqing New exact solutions of the Broer-Kaup equations in (2 + 1)-dimensional spaces. (English) Zbl 1102.65104 Appl. Math. Comput. 180, No. 2, 664-675 (2006). MSC: 65M70 35L90 35L75 35Q51 68W30 PDFBibTeX XMLCite \textit{L. Song} and \textit{H. Zhang}, Appl. Math. Comput. 180, No. 2, 664--675 (2006; Zbl 1102.65104) Full Text: DOI
Righetti, Ludovic; Buchli, Jonas; Ijspeert, Auke Jan Dynamic Hebbian learning in adaptive frequency oscillators. (English) Zbl 1102.37050 Physica D 216, No. 2, 269-281 (2006). MSC: 37N05 34C15 70K55 37D45 93D21 93C40 68T05 PDFBibTeX XMLCite \textit{L. Righetti} et al., Physica D 216, No. 2, 269--281 (2006; Zbl 1102.37050) Full Text: DOI Link
Yao, Ruo-Xia; Li, Zhi-Bin CONSLAW: A Maple package to construct the conservation laws for nonlinear evolution equations. (English) Zbl 1090.65124 Appl. Math. Comput. 173, No. 1, 616-635 (2006). MSC: 65M70 65Y15 68W30 37K10 65P10 37M15 35L65 35Q53 PDFBibTeX XMLCite \textit{R.-X. Yao} and \textit{Z.-B. Li}, Appl. Math. Comput. 173, No. 1, 616--635 (2006; Zbl 1090.65124) Full Text: DOI
Inc, Mustafa On numerical Jacobi elliptic function solutions of the (1+1)-dimensional dispersive long wave equation by the decomposition method. (English) Zbl 1089.65106 Appl. Math. Comput. 173, No. 1, 372-382 (2006). MSC: 65M70 35L70 68W30 PDFBibTeX XMLCite \textit{M. Inc}, Appl. Math. Comput. 173, No. 1, 372--382 (2006; Zbl 1089.65106) Full Text: DOI
Zhang, Huaguang; Xie, Yinghui; Liu, Derong Synchronization of a class of delayed chaotic neural networks with fully unknown parameters. (English) Zbl 1092.37059 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 2, 297-308 (2006). MSC: 37N99 93D15 93C10 37D45 68T05 PDFBibTeX XMLCite \textit{H. Zhang} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 2, 297--308 (2006; Zbl 1092.37059)
Oysal, Yusuf Time delay dynamic fuzzy networks for time series prediction. (English) Zbl 1129.68470 Sunderam, Vaidy S. (ed.) et al., Computational science – ICCS 2005. 5th international conference, Atlanta, GA, USA, May 22–25, 2005. Proceedings, Part I. Berlin: Springer (ISBN 3-540-26032-3/pbk). Lecture Notes in Computer Science 3514, 775-782 (2005). MSC: 68T05 62M10 37D45 93C10 PDFBibTeX XMLCite \textit{Y. Oysal}, Lect. Notes Comput. Sci. 3514, 775--782 (2005; Zbl 1129.68470) Full Text: DOI
Chen, Yong; Wang, Qi A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation. (English) Zbl 1082.65578 Appl. Math. Comput. 168, No. 2, 1189-1204 (2005). MSC: 65M70 35L75 68W30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Appl. Math. Comput. 168, No. 2, 1189--1204 (2005; Zbl 1082.65578) Full Text: DOI
Chen, Yong; Wang, Qi A new general algebraic method with symbolic computation to construct new doubly-periodic solutions of the \((2 + 1\))-dimensional dispersive long wave equation. (English) Zbl 1082.65577 Appl. Math. Comput. 167, No. 2, 919-929 (2005). MSC: 65M70 35L75 68W30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Appl. Math. Comput. 167, No. 2, 919--929 (2005; Zbl 1082.65577) Full Text: DOI
Callegari, S.; Rovatti, R.; Setti, G. First direct implementation of a true random source on programmable hardware. (English) Zbl 1061.94551 Int. J. Circuit Theory Appl. 33, No. 1, 1-16 (2005). MSC: 94C05 68M07 37D45 93C10 94A12 60J10 PDFBibTeX XMLCite \textit{S. Callegari} et al., Int. J. Circuit Theory Appl. 33, No. 1, 1--16 (2005; Zbl 1061.94551) Full Text: DOI
Andreev, Yu. V.; Koroteev, M. V. A chaotic nature of speech signals. (Russian) Zbl 1081.37544 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 12, No. 6, 44-59 (2004). Reviewer: Sergei Zhuravlev (Moskva) MSC: 37N99 37D45 94A05 68T10 68T50 94A12 PDFBibTeX XMLCite \textit{Yu. V. Andreev} and \textit{M. V. Koroteev}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 12, No. 6, 44--59 (2004; Zbl 1081.37544) Full Text: arXiv
Zhao, Dawei; Chen, Guanrong; Liu, Wenbo A chaos-based robust wavelet-domain watermarking algorithm. (English) Zbl 1060.93522 Chaos Solitons Fractals 22, No. 1, 47-54 (2004). MSC: 93C10 37D45 65T60 68U10 PDFBibTeX XMLCite \textit{D. Zhao} et al., Chaos Solitons Fractals 22, No. 1, 47--54 (2004; Zbl 1060.93522) Full Text: DOI
Kocarev, Ljupco; Tasev, Zarko Chaos and control of transient chaos in turbo-decoding algoirthms. (English) Zbl 1086.37515 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 3, 1147-1153 (2004). MSC: 37D45 68P30 93C10 PDFBibTeX XMLCite \textit{L. Kocarev} and \textit{Z. Tasev}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 3, 1147--1153 (2004; Zbl 1086.37515) Full Text: DOI
Fortuna, Luigi; Porto, Domenico Quantum-CNN to generate nonoscale chaotic oscillators. (English) Zbl 1086.37503 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 3, 1085-1089 (2004). MSC: 37B15 94C05 68T05 37D45 68Q80 81Q50 PDFBibTeX XMLCite \textit{L. Fortuna} and \textit{D. Porto}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 3, 1085--1089 (2004; Zbl 1086.37503) Full Text: DOI
Al-Assaf, Yousef; Ahmad, Wajdi M. Parameter identification of chaotic systems using wavelets and neural networks. (English) Zbl 1084.37504 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1467-1476 (2004). MSC: 37D45 37N99 34C15 68T10 94A12 PDFBibTeX XMLCite \textit{Y. Al-Assaf} and \textit{W. M. Ahmad}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1467--1476 (2004; Zbl 1084.37504) Full Text: DOI
Cruz-Hernández, C. Synchronization of time-delay Chua’s oscillator with application to secure communication. (English) Zbl 1058.93027 Nonlinear Dyn. Syst. Theory 4, No. 1, 1-13 (2004). Reviewer: Fabio Bagagiolo (Trento) MSC: 93C10 37D45 65P20 68P25 93D20 94A99 PDFBibTeX XMLCite \textit{C. Cruz-Hernández}, Nonlinear Dyn. Syst. Theory 4, No. 1, 1--13 (2004; Zbl 1058.93027)
Li, Biao; Chen, Yong; Xuan, Hengnong; Zhang, Hongqing Generalized Riccati equation expansion method and its application to the (3 + 1)-dimensional Jumbo-Miwa equation. (English) Zbl 1049.65106 Appl. Math. Comput. 152, No. 2, 581-595 (2004). MSC: 65M70 35K55 68W30 35Q51 PDFBibTeX XMLCite \textit{B. Li} et al., Appl. Math. Comput. 152, No. 2, 581--595 (2004; Zbl 1049.65106) Full Text: DOI
Inc, M.; Evans, D. J. On travelling wave solutions of some nonlinear evolution equations. (English) Zbl 1047.65091 Int. J. Comput. Math. 81, No. 2, 191-202 (2004). MSC: 65M70 35K55 35Q53 68W30 PDFBibTeX XMLCite \textit{M. Inc} and \textit{D. J. Evans}, Int. J. Comput. Math. 81, No. 2, 191--202 (2004; Zbl 1047.65091) Full Text: DOI
De Feo, Oscar Self-emergence of chaos in the identification of irregular periodic behavior. (English) Zbl 1080.93660 Chaos 13, No. 4, 1205-1215 (2003). MSC: 93C10 37D45 37N99 68T05 68T10 94A12 PDFBibTeX XMLCite \textit{O. De Feo}, Chaos 13, No. 4, 1205--1215 (2003; Zbl 1080.93660) Full Text: DOI Link
Karanikas, C.; Proios, G. A nonlinear discrete transform for pattern recognition of discrete chaotic systems. (English) Zbl 1044.94008 Chaos Solitons Fractals 17, No. 2-3, 195-201 (2003). Reviewer: Guy Jumarie (Montréal) MSC: 94A29 37B10 37D45 68T10 94A12 PDFBibTeX XMLCite \textit{C. Karanikas} and \textit{G. Proios}, Chaos Solitons Fractals 17, No. 2--3, 195--201 (2003; Zbl 1044.94008) Full Text: DOI
Choi, H.-W.; Shin, J.-G. Symbolic implementation of the algorithm for calculating Adomian polynomials. (English) Zbl 1033.65036 Appl. Math. Comput. 146, No. 1, 257-271 (2003). MSC: 65J15 68W30 76N15 47J25 35L60 65M55 65M70 PDFBibTeX XMLCite \textit{H. W. Choi} and \textit{J. G. Shin}, Appl. Math. Comput. 146, No. 1, 257--271 (2003; Zbl 1033.65036) Full Text: DOI
Yao, Weiguang; Essex, Chris; Yu, Pei A new chaotic system for better secure communication. (English) Zbl 1028.94002 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 10, No. 1-3, 221-234 (2003). MSC: 94A05 34C28 37D45 34C60 68P25 PDFBibTeX XMLCite \textit{W. Yao} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 10, No. 1--3, 221--234 (2003; Zbl 1028.94002)
Kofidis, Nikos; Roumeliotis, Manos; Adamopoulos, Miltiadis Neural models of chaotic attractors and chaotic features of neural networks. (English) Zbl 1007.65105 Int. J. Pure Appl. Math. 2, No. 4, 441-491 (2002). MSC: 65P20 37B25 37D45 68T05 37M25 37C70 92B20 PDFBibTeX XMLCite \textit{N. Kofidis} et al., Int. J. Pure Appl. Math. 2, No. 4, 441--491 (2002; Zbl 1007.65105)
Cannas, B.; Cincotti, S. Neural reconstruction of Lorenz attractors by an observable. (English) Zbl 1042.37025 Chaos Solitons Fractals 14, No. 1, 81-86 (2002). MSC: 37D45 37M10 68T05 94C05 93B07 93C10 PDFBibTeX XMLCite \textit{B. Cannas} and \textit{S. Cincotti}, Chaos Solitons Fractals 14, No. 1, 81--86 (2002; Zbl 1042.37025) Full Text: DOI
Minamoto, Teruya Numerical existence and uniqueness proof for solutions of nonlinear hyperbolic equations. (English) Zbl 0998.65099 J. Comput. Appl. Math. 135, No. 1, 79-90 (2001). Reviewer: M.Plum (Karlsruhe) MSC: 65M15 68T15 65G20 65M60 35L70 PDFBibTeX XMLCite \textit{T. Minamoto}, J. Comput. Appl. Math. 135, No. 1, 79--90 (2001; Zbl 0998.65099) Full Text: DOI
Gao, Yitian; Tian, Bo Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics. (English) Zbl 0976.65092 Comput. Phys. Commun. 133, No. 2-3, 158-164 (2001). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M70 35Q51 35Q53 68W30 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{B. Tian}, Comput. Phys. Commun. 133, No. 2--3, 158--164 (2001; Zbl 0976.65092) Full Text: DOI
Reid, Gregory J.; Wittkopf, Allan D. Determination of maximal symmetry groups of classes of differential equations. (English) Zbl 1326.68367 Proceedings of the 2000 international symposium on symbolic and algebraic computation, ISSAC ’00, St. Andrews, Scotland, GB, 2000. New York, NY: ACM Press (ISBN 1-58113-218-2). 272-280 (2000). MSC: 68W30 35A30 35K57 35L70 PDFBibTeX XMLCite \textit{G. J. Reid} and \textit{A. D. Wittkopf}, in: Proceedings of the 2000 international symposium on symbolic and algebraic computation, ISSAC '00, St. Andrews, Scotland, GB, 2000. New York, NY: ACM Press. 272--280 (2000; Zbl 1326.68367) Full Text: DOI
Wolf, Thomas The symbolic integration of exact PDEs. (English) Zbl 1054.68171 J. Symb. Comput. 30, No. 5, 619-629 (2000). MSC: 68W30 35F20 35L65 PDFBibTeX XMLCite \textit{T. Wolf}, J. Symb. Comput. 30, No. 5, 619--629 (2000; Zbl 1054.68171) Full Text: DOI
Li, Hongbo Doing geometric research with Clifford algebra. (English) Zbl 1003.68506 Abłamowicz, Rafał (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the 5th conference, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999. Volume 1: Algebra and physics. Boston, MA: Birkhäuser. Prog. Phys. 18, 195-217 (2000). MSC: 68T15 51B10 51B20 PDFBibTeX XMLCite \textit{H. Li}, Prog. Phys. 18, 195--217 (2000; Zbl 1003.68506)
Zumbusch, Gerhard W. A sparse grid PDE solver; discretization, adaptivity, software design and parallelization. (English) Zbl 0943.65111 Langtangen, Hans Petter (ed.) et al., Advances in software tools for scientific computing. International workshop on modern software tools for scientific computing, SciTools ’98, Oslo, Norway, September 14-16, 1998. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 10, 133-177 (2000). MSC: 65M50 65M06 65M60 65Y05 68N19 35L60 PDFBibTeX XMLCite \textit{G. W. Zumbusch}, Lect. Notes Comput. Sci. Eng. 10, 133--177 (2000; Zbl 0943.65111)
Slavova, Angela Modeling nonlinear waves and PDEs via cellular neural networks. (English) Zbl 1200.35015 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 45, Suppl., 311-326 (1999). MSC: 35B10 35L70 35R99 37B15 68Q80 94C99 PDFBibTeX XMLCite \textit{A. Slavova}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 45, 311--326 (1999; Zbl 1200.35015)
Yang, Tao Computational verb systems: Computing with verbs and applications. (English) Zbl 0934.93012 Int. J. Gen. Syst. 28, No. 1, 1-36 (1999). Reviewer: I.Grosu (Iaşi) MSC: 93A30 37D45 68T50 93C10 91F20 PDFBibTeX XMLCite \textit{T. Yang}, Int. J. Gen. Syst. 28, No. 1, 1--36 (1999; Zbl 0934.93012) Full Text: DOI
Dogaru, Radu; Chua, Leon O. Edge of chaos and local activity domain of FitzHugh-Nagumo equation. (English) Zbl 0933.37042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 2, 211-257 (1998). MSC: 37D45 37N25 92D25 68Q80 92B20 68T05 PDFBibTeX XMLCite \textit{R. Dogaru} and \textit{L. O. Chua}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 2, 211--257 (1998; Zbl 0933.37042) Full Text: DOI
Arena, Paolo; Fortuna, Luigi; Muscato, Giovanni; Xibilia, Maria G. Neural networks in multidimensional domains. Fundamentals and new trends in modelling and control. (English) Zbl 0910.68167 Lecture Notes in Control and Information Sciences. 234. London: Springer. xiv, 165 p. (1998). Reviewer: A.Vaněček (Praha) MSC: 68T05 68-02 93A30 92B20 93C35 37D45 93C10 PDFBibTeX XMLCite \textit{P. Arena} et al., Neural networks in multidimensional domains. Fundamentals and new trends in modelling and control. London: Springer (1998; Zbl 0910.68167)
Hege, Hans-Christian (ed.); Polthier, Konrad (ed.) Visualization and mathematics: experiments, simulations and environments. Workshop, Berlin, Germany, May 30 - June 2, 1995. (English) Zbl 0898.53001 Berlin: Springer. xix, 386 p. (1997). Reviewer: I.A.Rus (Cluj-Napoca) MSC: 53-06 00B25 53-04 68U05 00A72 00A71 53A05 53A07 53A10 92C50 76M25 51M10 78-04 58C25 58K99 58-04 PDFBibTeX XMLCite \textit{H.-C. Hege} (ed.) and \textit{K. Polthier} (ed.), Visualization and mathematics: experiments, simulations and environments. Workshop, Berlin, Germany, May 30 - June 2, 1995. Berlin: Springer (1997; Zbl 0898.53001)
Baumann, G. Symmetry analysis of differential equations with MATHEMATICA. (English) Zbl 0898.34003 Math. Comput. Modelling 25, No. 8-9, 25-37 (1997). Reviewer: K.Gatermann (Berlin) MSC: 34-04 68Q25 34L40 35Q55 22E99 35L65 PDFBibTeX XMLCite \textit{G. Baumann}, Math. Comput. Modelling 25, No. 8--9, 25--37 (1997; Zbl 0898.34003) Full Text: DOI
Li, Zhibin; Zhang, Shanqing Exact solitary wave solutions for nonlinear wave equations using symbolic computation. (Chinese. English summary) Zbl 0893.65066 Acta Math. Sci. (Chin. Ed.) 17, No. 1, 81-89 (1997). Reviewer: M.-Y.Wu (Boulder) MSC: 65Z05 35L70 68W30 35K55 PDFBibTeX XMLCite \textit{Z. Li} and \textit{S. Zhang}, Acta Math. Sci. (Chin. Ed.) 17, No. 1, 81--89 (1997; Zbl 0893.65066)
Vorozhtsov, E. V.; Scobelev, B. Yu.; Ganzha, V. G. Corrigendum to: “Symbolic-numerical method for the stability analysis of difference schemes on the basis of the catastrophe theory”. (English) Zbl 0860.65085 J. Comput. Phys. 123, No. 1, 231-232 (1996). MSC: 65M12 35L60 35K55 65M06 68W30 PDFBibTeX XMLCite \textit{E. V. Vorozhtsov} et al., J. Comput. Phys. 123, No. 1, 231--232 (1996; Zbl 0860.65085) Full Text: DOI
Crandall, Richard E. Topics in advanced scientific computation. (English) Zbl 0844.65001 Berlin: Springer-Verlag. ix, 340 p. (1996). Reviewer: C.Meinel (Trier) MSC: 65-01 68W30 68T05 68U10 37D45 70F10 65Hxx 65D20 65T50 11Yxx PDFBibTeX XMLCite \textit{R. E. Crandall}, Topics in advanced scientific computation. Berlin: Springer-Verlag (1996; Zbl 0844.65001)
Tian, Bo; Gao, Yi-Tian Beyond travelling waves: A new algorithm for solving nonlinear evolution equations. (English) Zbl 0923.65068 Comput. Phys. Commun. 95, No. 2-3, 139-142 (1996). MSC: 65M70 35L70 35Q51 76B15 68W30 PDFBibTeX XMLCite \textit{B. Tian} and \textit{Y.-T. Gao}, Comput. Phys. Commun. 95, No. 2--3, 139--142 (1996; Zbl 0923.65068) Full Text: DOI
Kreuzer, E.; Lagemann, B. On the cell mapping method for systems with multiple degrees of freedom. (English) Zbl 0925.65128 Z. Angew. Math. Mech. 76, Suppl. 4, 193-196 (1996). MSC: 65L05 68W30 37D45 PDFBibTeX XMLCite \textit{E. Kreuzer} and \textit{B. Lagemann}, Z. Angew. Math. Mech. 76, 193--196 (1996; Zbl 0925.65128) Full Text: DOI
Navone, H. D.; Cecatto, H. A. Forecasting chaos from small data sets: A comparison of different nonlinear algorithms. (English) Zbl 0860.58028 J. Phys. A, Math. Gen. 28, No. 12, 3381-3388 (1995). MSC: 37D45 68T05 PDFBibTeX XMLCite \textit{H. D. Navone} and \textit{H. A. Cecatto}, J. Phys. A, Math. Gen. 28, No. 12, 3381--3388 (1995; Zbl 0860.58028) Full Text: DOI
Osher, Stanley Subscale capturing in numerical analysis. (English) Zbl 0839.65093 Chatterji, S. D. (ed.), Proceedings of the international congress of mathematicians, ICM ’94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1449-1459 (1995). MSC: 65M06 65M60 68U10 65D18 35L65 76N15 PDFBibTeX XMLCite \textit{S. Osher}, in: Proceedings of the international congress of mathematicians, ICM '94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1449--1459 (1995; Zbl 0839.65093)
Wang, Mingqi; Dai, Shiqiang Computer algebra-perturbation solution to a nonlinear wave equation. (English) Zbl 0828.65113 Appl. Math. Mech., Engl. Ed. 16, No. 5, 429-435 (1995). Reviewer: P.Y.Yalamov (Russe) MSC: 65M25 35L70 68W30 PDFBibTeX XMLCite \textit{M. Wang} and \textit{S. Dai}, Appl. Math. Mech., Engl. Ed. 16, No. 5, 429--435 (1995; Zbl 0828.65113) Full Text: DOI
Vorozhtsov, E. V.; Scobelev, B. Yu.; Ganzha, V. G. Symbolic-numerical method for the stability analysis of difference schemes on the basis of the catastrophe theory. (English) Zbl 0860.65084 J. Comput. Phys. 116, No. 1, 26-38 (1995). MSC: 65M12 35L60 35K55 65M06 68W30 PDFBibTeX XMLCite \textit{E. V. Vorozhtsov} et al., J. Comput. Phys. 116, No. 1, 26--38 (1995; Zbl 0860.65084) Full Text: DOI
Kennedy, Michael P. ABC (Adventures in Bifurcations and Chaos): A program for studying chaos. (English) Zbl 0835.34041 J. Franklin Inst. 331B, No. 6, 631-658 (1994). Reviewer: B.Werner (Hamburg) MSC: 34C15 94C05 68U20 34C23 34C28 37D45 PDFBibTeX XMLCite \textit{M. P. Kennedy}, J. Franklin Inst. 331B, No. 6, 631--658 (1994; Zbl 0835.34041) Full Text: DOI
Ruan, Jiong Chaos for nonlinear continuous neural network systems with delays. (Chinese. English summary) Zbl 0814.34063 J. Fudan Univ., Nat. Sci. 33, No. 3, 303-309 (1994). MSC: 34K99 68T05 34D45 92B20 37D45 PDFBibTeX XMLCite \textit{J. Ruan}, J. Fudan Univ., Nat. Sci. 33, No. 3, 303--309 (1994; Zbl 0814.34063)