Ye, Yinlin; Fan, Hongtao; Li, Yajing; Huang, Ao; He, Weiheng An artificial neural network approach for a class of time-fractional diffusion and diffusion-wave equations. (English) Zbl 07798650 Netw. Heterog. Media 18, No. 3, 1083-1104 (2023). MSC: 65M99 68T07 92B20 65M15 41A58 33E12 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Ye} et al., Netw. Heterog. Media 18, No. 3, 1083--1104 (2023; Zbl 07798650) Full Text: DOI
Tomasiello, Stefania; Macías-Díaz, Jorge E.; Alba-Pérez, Joel An alternative formulation of the differential quadrature method with a neural network perspective. (English) Zbl 1524.65100 Int. J. Comput. Math. 100, No. 6, 1248-1263 (2023). MSC: 65D25 65L99 65M99 68T07 PDFBibTeX XMLCite \textit{S. Tomasiello} et al., Int. J. Comput. Math. 100, No. 6, 1248--1263 (2023; Zbl 1524.65100) Full Text: DOI
Verschelde, Jan; Viswanathan, Kylash Locating the closest singularity in a polynomial homotopy. (English) Zbl 1507.14084 Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 333-352 (2022). MSC: 14Q65 68W30 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{K. Viswanathan}, Lect. Notes Comput. Sci. 13366, 333--352 (2022; Zbl 1507.14084) Full Text: DOI arXiv
Eftekhari, Aryan; Scheidegger, Simon High-dimensional dynamic stochastic model representation. (English) Zbl 1508.91386 SIAM J. Sci. Comput. 44, No. 3, C210-C236 (2022). MSC: 91B70 91B55 68W25 41A63 41A58 68W10 91-08 PDFBibTeX XMLCite \textit{A. Eftekhari} and \textit{S. Scheidegger}, SIAM J. Sci. Comput. 44, No. 3, C210--C236 (2022; Zbl 1508.91386) Full Text: DOI arXiv
Chiu, Pao-Hsiung; Wong, Jian Cheng; Ooi, Chinchun; Dao, My Ha; Ong, Yew-Soon CAN-PINN: a fast physics-informed neural network based on coupled-automatic-numerical differentiation method. (English) Zbl 1507.65204 Comput. Methods Appl. Mech. Eng. 395, Article ID 114909, 24 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{P.-H. Chiu} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114909, 24 p. (2022; Zbl 1507.65204) Full Text: DOI arXiv
Dai, Hao; Fu, Shuangshuang; Luo, Shunlong Detecting magic states via characteristic functions. (English) Zbl 1486.81059 Int. J. Theor. Phys. 61, No. 2, Paper No. 35, 18 p. (2022). MSC: 81P68 68M15 81Q93 82D20 81P15 41A58 81P16 81P45 81R05 81P40 PDFBibTeX XMLCite \textit{H. Dai} et al., Int. J. Theor. Phys. 61, No. 2, Paper No. 35, 18 p. (2022; Zbl 1486.81059) Full Text: DOI
Tong, Yunjin; Xiong, Shiying; He, Xingzhe; Pan, Guanghan; Zhu, Bo Symplectic neural networks in Taylor series form for Hamiltonian systems. (English) Zbl 07505909 J. Comput. Phys. 437, Article ID 110325, 21 p. (2021). MSC: 68Txx 70Hxx 35Qxx PDFBibTeX XMLCite \textit{Y. Tong} et al., J. Comput. Phys. 437, Article ID 110325, 21 p. (2021; Zbl 07505909) Full Text: DOI arXiv
Koepf, Wolfram Computer algebra. An algorithm-oriented introduction. Translated and updated from the 2006 German language edition. (English) Zbl 1484.68004 Springer Undergraduate Texts in Mathematics and Technology. Cham: Springer (ISBN 978-3-030-78016-6/hbk; 978-3-030-78019-7/pbk; 978-3-030-78017-3/ebook). xii, 384 p. (2021). Reviewer: Andreas Maletti (Leipzig) MSC: 68-01 68W30 PDFBibTeX XMLCite \textit{W. Koepf}, Computer algebra. An algorithm-oriented introduction. Translated and updated from the 2006 German language edition. Cham: Springer (2021; Zbl 1484.68004) Full Text: DOI
Li, De-Sheng; Wu, Chun-Wang; Zhong, Ming; Wu, Wei; Chen, Ping-Xing Digital quantum simulation of hadronization in Yang-Mills theory. (English) Zbl 1457.81072 Int. J. Quantum Inf. 18, No. 6, Article ID 2050036, 17 p. (2020). MSC: 81T13 81P68 68Q12 81T16 81U05 41A58 81V74 81V05 81V35 81-10 PDFBibTeX XMLCite \textit{D.-S. Li} et al., Int. J. Quantum Inf. 18, No. 6, Article ID 2050036, 17 p. (2020; Zbl 1457.81072) Full Text: DOI arXiv
Annabestani, Mohsen; Naghavi, Nadia Practical realization of discrete-time Volterra series for high-order nonlinearities. (English) Zbl 1430.41020 Nonlinear Dyn. 98, No. 3, 2309-2325 (2019). MSC: 41A58 41A46 68Q27 PDFBibTeX XMLCite \textit{M. Annabestani} and \textit{N. Naghavi}, Nonlinear Dyn. 98, No. 3, 2309--2325 (2019; Zbl 1430.41020) Full Text: DOI
Daskin, Ammar; Kais, Sabre A generalized circuit for the Hamiltonian dynamics through the truncated series. (English) Zbl 1402.81085 Quantum Inf. Process. 17, No. 12, Paper No. 328, 19 p. (2018). MSC: 81P68 81Q05 81V55 35P15 68U20 68Q12 94C05 68Q05 41A58 47C05 PDFBibTeX XMLCite \textit{A. Daskin} and \textit{S. Kais}, Quantum Inf. Process. 17, No. 12, Paper No. 328, 19 p. (2018; Zbl 1402.81085) Full Text: DOI arXiv
Christianson, Bruce Differentiating through conjugate gradient. (English) Zbl 1453.65068 Optim. Methods Softw. 33, No. 4-6, 988-994 (2018). MSC: 65F10 68W30 90C52 PDFBibTeX XMLCite \textit{B. Christianson}, Optim. Methods Softw. 33, No. 4--6, 988--994 (2018; Zbl 1453.65068) Full Text: DOI Link
Navas-Palencia, Guillermo High-precision computation of the confluent hypergeometric functions via Franklin-Friedman expansion. (English) Zbl 1393.33008 Adv. Comput. Math. 44, No. 3, 841-859 (2018). MSC: 33C15 33F05 41A58 65D20 68W30 PDFBibTeX XMLCite \textit{G. Navas-Palencia}, Adv. Comput. Math. 44, No. 3, 841--859 (2018; Zbl 1393.33008) Full Text: DOI
Roberts, A. J.; Bunder, J. E. Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains. (English) Zbl 1486.82036 IMA J. Appl. Math. 82, No. 5, 971-1012 (2017). MSC: 82C41 82C31 35Q84 35A24 41A58 68W30 37D10 60G50 PDFBibTeX XMLCite \textit{A. J. Roberts} and \textit{J. E. Bunder}, IMA J. Appl. Math. 82, No. 5, 971--1012 (2017; Zbl 1486.82036) Full Text: DOI arXiv
Reed, Josh; Zhang, Bo Managing capacity and inventory jointly for multi-server make-to-stock queues. (English) Zbl 1370.60180 Queueing Syst. 86, No. 1-2, 61-94 (2017). MSC: 60K25 60J60 90B22 90B05 90B30 68M20 34E05 41A58 PDFBibTeX XMLCite \textit{J. Reed} and \textit{B. Zhang}, Queueing Syst. 86, No. 1--2, 61--94 (2017; Zbl 1370.60180) Full Text: DOI
Xia, Bin; Liu, Chengpeng; Sun, Wenzhu; Li, Caihong Localization algorithm based on multivariable Taylor series expansion model. (Chinese. English summary) Zbl 1374.68046 J. Univ. Electron. Sci. Technol. China 45, No. 6, 888-892 (2016). MSC: 68M11 41A58 68T20 PDFBibTeX XMLCite \textit{B. Xia} et al., J. Univ. Electron. Sci. Technol. China 45, No. 6, 888--892 (2016; Zbl 1374.68046) Full Text: DOI
Martin-Dorel, Érik; Melquiond, Guillaume Proving tight bounds on univariate expressions with elementary functions in Coq. (English) Zbl 1386.68151 J. Autom. Reasoning 57, No. 3, 187-217 (2016). MSC: 68T15 41A58 65G50 PDFBibTeX XMLCite \textit{É. Martin-Dorel} and \textit{G. Melquiond}, J. Autom. Reasoning 57, No. 3, 187--217 (2016; Zbl 1386.68151) Full Text: DOI Link
Phung-Duc, Tuan Asymptotic analysis for Markovian queues with two types of nonpersistent retrial customers. (English) Zbl 1410.90056 Appl. Math. Comput. 265, 768-784 (2015). MSC: 90B22 60K25 68M20 PDFBibTeX XMLCite \textit{T. Phung-Duc}, Appl. Math. Comput. 265, 768--784 (2015; Zbl 1410.90056) Full Text: DOI arXiv
Guha, Ashwin; Dukkipati, Ambedkar An algorithmic characterization of polynomial functions over \(\mathbb Z_{p^n}\). (English) Zbl 1321.11126 Algorithmica 71, No. 1, 201-218 (2015). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 11Y16 11T06 12E20 12Y05 68W30 13M10 13P05 PDFBibTeX XMLCite \textit{A. Guha} and \textit{A. Dukkipati}, Algorithmica 71, No. 1, 201--218 (2015; Zbl 1321.11126) Full Text: DOI arXiv
Jaiswal, Manish Kumar; Cheung, Ray C. C.; Balakrishnan, M.; Paul, Kolin Series expansion based efficient architectures for double precision floating point division. (English) Zbl 1342.68030 Circuits Syst. Signal Process. 33, No. 11, 3499-3526 (2014). MSC: 68M07 41A58 65Y04 PDFBibTeX XMLCite \textit{M. K. Jaiswal} et al., Circuits Syst. Signal Process. 33, No. 11, 3499--3526 (2014; Zbl 1342.68030) Full Text: DOI Link
Chern, Hua-Huai; Fernández-Camacho, María-Inés; Hwang, Hsien-Kuei; Martínez, Conrado Psi-series method for equality of random trees and quadratic convolution recurrences. (English) Zbl 1280.05118 Random Struct. Algorithms 44, No. 1, 67-108 (2014). MSC: 05C80 05C85 68W40 68R10 05C05 41A58 PDFBibTeX XMLCite \textit{H.-H. Chern} et al., Random Struct. Algorithms 44, No. 1, 67--108 (2014; Zbl 1280.05118) Full Text: DOI
Li, Hongbo; Yao, Shoubin; Li, Ge; Liu, Yuanjie; Zhang, Lixian Power series solution for isoscallop tool path generation on free-form surface with ball-end cutter. (English) Zbl 1271.68227 Math. Comput. Sci. 6, No. 3, 281-296 (2012). MSC: 68T40 41A58 PDFBibTeX XMLCite \textit{H. Li} et al., Math. Comput. Sci. 6, No. 3, 281--296 (2012; Zbl 1271.68227) Full Text: DOI
Charpentier, I. On higher-order differentiation in nonlinear mechanics. (English) Zbl 1242.41031 Optim. Methods Softw. 27, No. 2, 221-232 (2012). MSC: 41A58 65P30 68N19 74-02 PDFBibTeX XMLCite \textit{I. Charpentier}, Optim. Methods Softw. 27, No. 2, 221--232 (2012; Zbl 1242.41031) Full Text: DOI
Kowalenko, Victor Developments from Programming the Partition Method for a Power Series Expansion. arXiv:1203.4967 Preprint, arXiv:1203.4967 [math.CO] (2012). MSC: 05A17 05C85 11P81 11P82 40A05 40A20 41A58 47S20 68-04 68R99 68U01 68W01 BibTeX Cite \textit{V. Kowalenko}, ``Developments from Programming the Partition Method for a Power Series Expansion'', Preprint, arXiv:1203.4967 [math.CO] (2012) Full Text: arXiv OA License
Pryce, J. D.; Ghaziani, R. Khoshsiar; De Witte, V.; Govaerts, W. Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation. (English) Zbl 1203.65049 Math. Comput. Simul. 81, No. 1, 109-119 (2010). MSC: 65D25 68W30 PDFBibTeX XMLCite \textit{J. D. Pryce} et al., Math. Comput. Simul. 81, No. 1, 109--119 (2010; Zbl 1203.65049) Full Text: DOI Link
Lü, Yong; Wu, Haiyang; Zhou, Lin; Wu, Zhenyang Multi-environment model adaptation based on vector Taylor series for robust speech recognition. (English) Zbl 1205.68346 Pattern Recognition 43, No. 9, 3093-3099 (2010). MSC: 68T10 PDFBibTeX XMLCite \textit{Y. Lü} et al., Pattern Recognition 43, No. 9, 3093--3099 (2010; Zbl 1205.68346) Full Text: DOI
Li, Guo-Dong; Masuda, Shiro; Yamaguchi, Daisuke; Nagai, Masatake; Wang, Chen-Hong An improved grey dynamic GM(2, 1) model. (English) Zbl 1211.93011 Int. J. Comput. Math. 87, No. 7, 1617-1629 (2010). MSC: 93A30 90C90 46G05 65D10 62M10 68M15 93C70 PDFBibTeX XMLCite \textit{G.-D. Li} et al., Int. J. Comput. Math. 87, No. 7, 1617--1629 (2010; Zbl 1211.93011) Full Text: DOI
Asaithambi, Asai Numerical solution of the Burgers’ equation by automatic differentiation. (English) Zbl 1193.65154 Appl. Math. Comput. 216, No. 9, 2700-2708 (2010). MSC: 65M06 35Q53 68W30 65D25 PDFBibTeX XMLCite \textit{A. Asaithambi}, Appl. Math. Comput. 216, No. 9, 2700--2708 (2010; Zbl 1193.65154) Full Text: DOI
Zwicknagl, Barbara Power series kernels. (English) Zbl 1184.41004 Constr. Approx. 29, No. 1, 61-84 (2009). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A05 41A10 41A25 41A58 41A63 68T05 PDFBibTeX XMLCite \textit{B. Zwicknagl}, Constr. Approx. 29, No. 1, 61--84 (2009; Zbl 1184.41004) Full Text: DOI
Zeng, Min; Luo, Yuan On the two kinds of depth distribution over \(F_2\). (Chinese. English summary) Zbl 1199.68151 J. Shanghai Jiaotong Univ. (Chin. Ed.) 42, No. 12, 2060-2064 (2008). MSC: 68P25 94A60 PDFBibTeX XMLCite \textit{M. Zeng} and \textit{Y. Luo}, J. Shanghai Jiaotong Univ. (Chin. Ed.) 42, No. 12, 2060--2064 (2008; Zbl 1199.68151)
Auroux, Didier; Masmoudi, Mohamed Image processing by topological asymptotic analysis. (English) Zbl 1183.68679 ESAIM, Proc. 26, 24-44 (2009). MSC: 68U10 94A08 41A58 35Jxx 35Q94 PDFBibTeX XMLCite \textit{D. Auroux} and \textit{M. Masmoudi}, ESAIM, Proc. 26, 24--44 (2008; Zbl 1183.68679) Full Text: DOI
Bahns, Dorothea; Schweigert, Christoph Software course – analysis and linear algebra. A MAPLE workbook with examples and solutions. (Softwarepraktikum – Analysis und lineare Algebra. Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen.) (German) Zbl 1141.65300 Wiesbaden: Vieweg (ISBN 978-3-8348-0370-2/pbk). xiii, 197 p. (2008). Reviewer: Willy Govaerts (Gent) MSC: 65-01 26-01 15-01 68W30 65Y15 00A06 00A05 PDFBibTeX XMLCite \textit{D. Bahns} and \textit{C. Schweigert}, Softwarepraktikum -- Analysis und lineare Algebra. Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen. Wiesbaden: Vieweg (2008; Zbl 1141.65300)
Bagley, Ronald L. A new numerical tool for image analysis and pattern recognition using Laurent series. (English) Zbl 1132.68623 Int. J. Appl. Math. 20, No. 6, 737-743 (2007). MSC: 68T10 94A08 30B10 65R10 41A58 PDFBibTeX XMLCite \textit{R. L. Bagley}, Int. J. Appl. Math. 20, No. 6, 737--743 (2007; Zbl 1132.68623)
Youssef, I. K.; El-Arabawy, H. A. Picard iteration algorithm combined with Gauss-Seidel technique for initial value problems. (English) Zbl 1122.65369 Appl. Math. Comput. 190, No. 1, 345-355 (2007). MSC: 65L05 34A34 65L06 68W30 65L20 PDFBibTeX XMLCite \textit{I. K. Youssef} and \textit{H. A. El-Arabawy}, Appl. Math. Comput. 190, No. 1, 345--355 (2007; Zbl 1122.65369) Full Text: DOI
Nedialkov, Nedialko S.; Pryce, John D. Solving differential-algebraic equations by Taylor series. II: Computing the system Jacobian. (English) Zbl 1123.65080 BIT 47, No. 1, 121-135 (2007). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L80 34A09 68W30 65L05 PDFBibTeX XMLCite \textit{N. S. Nedialkov} and \textit{J. D. Pryce}, BIT 47, No. 1, 121--135 (2007; Zbl 1123.65080) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations. (English) Zbl 1109.65113 Int. J. Comput. Math. 83, No. 4, 429-448 (2006). MSC: 65R20 45J05 68W30 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Int. J. Comput. Math. 83, No. 4, 429--448 (2006; Zbl 1109.65113) Full Text: DOI
Zaffalon, Marco; Hutter, Marcus Robust inference of trees. (English) Zbl 1177.68217 Ann. Math. Artif. Intell. 45, No. 1-2, 215-239 (2006). MSC: 68T37 90C35 05C05 41A58 62G35 62H20 PDFBibTeX XMLCite \textit{M. Zaffalon} and \textit{M. Hutter}, Ann. Math. Artif. Intell. 45, No. 1--2, 215--239 (2006; Zbl 1177.68217) Full Text: DOI arXiv Link
Nedialkov, Nedialko S.; Pryce, John D. Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients. (English) Zbl 1084.65075 BIT 45, No. 3, 561-591 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L80 34A09 68W30 PDFBibTeX XMLCite \textit{N. S. Nedialkov} and \textit{J. D. Pryce}, BIT 45, No. 3, 561--591 (2005; Zbl 1084.65075) Full Text: DOI
Margaria, Gabriella; Riccomagno, Eva; White, Lisa J. Structural identifiability analysis of some highly structured families of statespace models using differential algebra. (English) Zbl 1084.92027 J. Math. Biol. 49, No. 5, 433-454 (2004). MSC: 92C60 93A30 68W30 92C50 34A12 92D30 PDFBibTeX XMLCite \textit{G. Margaria} et al., J. Math. Biol. 49, No. 5, 433--454 (2004; Zbl 1084.92027) Full Text: DOI
Vöge, Markus Topics in statistical mechanics: The \(n\)-friendly walker model and benzenoid systems. (Abstract of thesis). (English) Zbl 1049.05503 Bull. Aust. Math. Soc. 69, No. 2, 351-352 (2004). MSC: 05A99 41A58 68R05 PDFBibTeX XMLCite \textit{M. Vöge}, Bull. Aust. Math. Soc. 69, No. 2, 351--352 (2004; Zbl 1049.05503) Full Text: DOI
Faghihi, F.; Hadad, K. Numerical solutions of coupled differential equations and initial values using Maple software. (English) Zbl 1055.65081 Appl. Math. Comput. 155, No. 2, 563-572 (2004). MSC: 65L05 68W30 65L06 34A34 65Y15 PDFBibTeX XMLCite \textit{F. Faghihi} and \textit{K. Hadad}, Appl. Math. Comput. 155, No. 2, 563--572 (2004; Zbl 1055.65081) Full Text: DOI
Lin, Faa-Jeng; Wai, Rong-Jong Robust recurrent fuzzy neural network control for linear synchronous motor drive system. (English) Zbl 1006.68824 Neurocomputing 50, 365-390 (2003). MSC: 68U99 68T05 PDFBibTeX XMLCite \textit{F.-J. Lin} and \textit{R.-J. Wai}, Neurocomputing 50, 365--390 (2003; Zbl 1006.68824) Full Text: DOI
Hirayama, Hiroshi Numerical technique for solving an ordinary differential equation by Picard’s method. (English) Zbl 1030.65079 Schiavone, P. (ed.) et al., Integral methods in science and engineering. Proceedings of the 6th international conference, IMSE 2000, Banff, Canada, June 12-15, 2000. Boston, MA: Birkhäuser. 111-116 (2002). MSC: 65L05 34A25 65L50 34A34 65L70 68W30 PDFBibTeX XMLCite \textit{H. Hirayama}, in: Integral methods in science and engineering. Proceedings of the 6th international conference, IMSE 2000, Banff, Canada, June 12-15, 2000. Boston, MA: Birkhäuser. 111--116 (2002; Zbl 1030.65079)
Chilikov, A. A. Taylor power series of algebraic functions over fields of positive characteristic. (Russian. English summary) Zbl 1016.12011 Fundam. Prikl. Mat. 7, No. 1, 235-256 (2001). Reviewer: Alexander E.Guterman (Moskva) MSC: 12Y05 68Q45 PDFBibTeX XMLCite \textit{A. A. Chilikov}, Fundam. Prikl. Mat. 7, No. 1, 235--256 (2001; Zbl 1016.12011)
Alexandrov, Victor Implicit function theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks. (English) Zbl 0995.58003 Monatsh. Math. 132, No. 4, 269-288 (2001). Reviewer: Jürgen Appell (Würzburg) MSC: 58C15 26B10 52C25 26C10 68T40 70B15 41A58 PDFBibTeX XMLCite \textit{V. Alexandrov}, Monatsh. Math. 132, No. 4, 269--288 (2001; Zbl 0995.58003) Full Text: DOI arXiv
Evans, Neil D.; Chappell, Michael J. Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems. (English) Zbl 0989.93021 Math. Biosci. 168, No. 2, 137-159 (2000). Reviewer: Yves Cherruault (Paris) MSC: 93B30 68W30 PDFBibTeX XMLCite \textit{N. D. Evans} and \textit{M. J. Chappell}, Math. Biosci. 168, No. 2, 137--159 (2000; Zbl 0989.93021) Full Text: DOI
Curry, Bruce; Morgan, Peter; Beynon, Malcolm Neural networks and flexible approximations. (English) Zbl 0997.62074 IMA J. Math. Appl. Bus. Ind. 11, No. 1, 19-35 (2000). MSC: 62M45 65C60 68T05 PDFBibTeX XMLCite \textit{B. Curry} et al., IMA J. Math. Appl. Bus. Ind. 11, No. 1, 19--35 (2000; Zbl 0997.62074)
Chen, C. S.; Muleshkov, A. S.; Golberg, M. A. The numerical evaluation of particular solutions for Poisson’s equation – a revisit. (English) Zbl 0972.65097 Brebbia, C. A. (ed.) et al., Boundary elements. XXI. Papers from the 21st international conference on the boundary element method, Oxford, Great Britain, August 1999. Southampton: WIT Press. Int. Ser. Adv. Bound. Elem. 6, 313-322 (1999). MSC: 65N35 35J05 65Y15 68W30 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Adv. Bound. Elem. 6, 313--322 (1999; Zbl 0972.65097)
Drmota, Michael Systems of functional equations. (English) Zbl 0869.39010 Random Struct. Algorithms 10, No. 1-2, 103-124 (1997). Reviewer: J.Aczel (Waterloo/Ontario) MSC: 39B62 41A60 41A63 05A15 26B10 05C30 68Q45 39B32 41A58 PDFBibTeX XMLCite \textit{M. Drmota}, Random Struct. Algorithms 10, No. 1--2, 103--124 (1997; Zbl 0869.39010) Full Text: DOI
Glinos, Nikolaos Designing an algorithm for the series solution of \(n\)th order linear ODE’s with polynomial coefficients. (English) Zbl 1065.65087 Keränen, Veikko (ed.) et al., Innovation in mathematics. Proceedings of the 2nd international Mathematica symposium, Rovaniemi, Finland, July 1997. Southampton: CMP, Computational Mechanics Publications (ISBN 1-85312-505-9). 161-168 (1997). MSC: 65L05 34A30 68W30 PDFBibTeX XMLCite \textit{N. Glinos}, in: Innovation in mathematics. Proceedings of the 2nd international \(Mathematica\) symposium, Rovaniemi, Finland, July 1997. Southampton: CMP, Computational Mechanics Publications. 161--168 (1997; Zbl 1065.65087)
Wang, C. L.-Y. Computer implementation of a series solution for constant coefficient ordinary differential equations. (English) Zbl 0874.65052 Comput. Math. Appl. 31, No. 3, 43-60 (1996). MSC: 65L05 68W30 34A25 34A34 PDFBibTeX XMLCite \textit{C. L. Y. Wang}, Comput. Math. Appl. 31, No. 3, 43--60 (1996; Zbl 0874.65052) Full Text: DOI
Lustig, Steven R.; Rastogi, Sanjeev; Wagner, Norman Telescoping fast multipole methods using Chebyshev economization. (English) Zbl 0842.70002 J. Comput. Phys. 122, No. 2, 317-322 (1995). MSC: 70-08 70F10 68W30 PDFBibTeX XMLCite \textit{S. R. Lustig} et al., J. Comput. Phys. 122, No. 2, 317--322 (1995; Zbl 0842.70002) Full Text: DOI
Heck, André Computer algebra: A tool in identifiability testing. (English) Zbl 0841.92001 Cohen, Arjeh M. (ed.) et al., Computer algebra in industry 2. Problem solving in practice. Proceedings of the SCAFI seminar on computer algebra in industry, held in Amsterdam, Netherlands, Dec. 1992. Chichester: Wiley. 267-289 (1995). MSC: 92B05 93B30 68W30 92-04 PDFBibTeX XMLCite \textit{A. Heck}, in: Computer algebra in industry 2. Problem solving in practice. Proceedings of the SCAFI seminar on computer algebra in industry, held in Amsterdam, Netherlands, Dec. 1992. Chichester: Wiley. 267--289 (1995; Zbl 0841.92001)
Koepf, Wolfram Taylor polynomials of implicit functions, of inverse functions, and of solutions of ordinary differential equations. (English) Zbl 0817.41001 Complex Variables, Theory Appl. 25, No. 1, 23-33 (1994). Reviewer: T.D.Narang (Amritsar) MSC: 41-04 68W30 68-04 30B10 30-04 PDFBibTeX XMLCite \textit{W. Koepf}, Complex Variables, Theory Appl. 25, No. 1, 23--33 (1994; Zbl 0817.41001) Full Text: DOI Link
Obayashi, Noboru Taylor series method for ODE using ‘multi-based number system’. (English) Zbl 0799.65074 Bull. Coll. Lib. Arts, Kyushu Sangyo Univ. 30, No. 3, 117-145 (1994). Reviewer: M.Bartušek (Brno) MSC: 65L05 34A34 68W30 PDFBibTeX XMLCite \textit{N. Obayashi}, Bull. Coll. Lib. Arts, Kyushu Sangyo Univ. 30, No. 3, 117--145 (1994; Zbl 0799.65074)
Schovanec, Lawrence; White, J. T. A power series method for solving initial value problems utilizing computer algebra systems. (English) Zbl 0812.65062 Int. J. Comput. Math. 47, No. 3-4, 181-189 (1993). MSC: 65L05 68W30 34A34 PDFBibTeX XMLCite \textit{L. Schovanec} and \textit{J. T. White}, Int. J. Comput. Math. 47, No. 3--4, 181--189 (1993; Zbl 0812.65062) Full Text: DOI
Wang, S.; Huseyin, K. Vibration analysis of nonlinear dynamical systems with the aid of ‘MAPLE’. (English) Zbl 0794.70016 Math. Model. Sci. Comput. 2(Sect.B), 876-881 (1993). MSC: 70K40 70-08 68W30 PDFBibTeX XMLCite \textit{S. Wang} and \textit{K. Huseyin}, Math. Model. Sci. Comput. 2(Sect.B), 876--881 (1993; Zbl 0794.70016)
Shackell, John Nested expansions and Hardy fields. (English) Zbl 0919.41016 Bronstein, Manuel (ed.), ISSAC ’93. Proceedings of the 1993 international symposium on Symbolic and algebraic computation, Kiev, Ukraine, July 6–8, 1993. Baltimore, MD: ACM Press. 234-238 (1993). MSC: 41A58 26A12 68W30 13J05 12H05 PDFBibTeX XMLCite \textit{J. Shackell}, in: ISSAC '93. Proceedings of the 1993 international symposium on Symbolic and algebraic computation, Kiev, Ukraine, July 6--8, 1993. Baltimore, MD: ACM Press. 234--238 (1993; Zbl 0919.41016)
Koepf, Wolfram Power series in computer algebra. (English) Zbl 0758.30026 J. Symb. Comput. 13, No. 6, 581-603 (1992). Reviewer: F.Schwarz (Paderborn) MSC: 30D30 30B10 68W30 30D05 PDFBibTeX XMLCite \textit{W. Koepf}, J. Symb. Comput. 13, No. 6, 581--603 (1992; Zbl 0758.30026) Full Text: DOI
Ioakimidis, N. I. Semi-numerical iterative series solution of linear algebraic equations with “MATHEMATICA”. (English) Zbl 0757.65033 Commun. Appl. Numer. Methods 8, No. 7, 421-429 (1992). Reviewer: J.Zítko (Praha) MSC: 65F10 68W30 PDFBibTeX XMLCite \textit{N. I. Ioakimidis}, Commun. Appl. Numer. Methods 8, No. 7, 421--429 (1992; Zbl 0757.65033) Full Text: DOI
Wang, S.; Huseyin, K. “MAPLE” analysis of nonlinear oscillations. (English) Zbl 0765.65076 Math. Comput. Modelling 16, No. 11, 49-57 (1992). Reviewer: B.Werner (Hamburg) MSC: 65L05 68W30 37-XX 34C25 34C15 PDFBibTeX XMLCite \textit{S. Wang} and \textit{K. Huseyin}, Math. Comput. Modelling 16, No. 11, 49--57 (1992; Zbl 0765.65076) Full Text: DOI
Reid, Gregory J. Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution. (English) Zbl 0768.35001 Eur. J. Appl. Math. 2, No. 4, 293-318 (1991). MSC: 35-04 68W30 35C10 PDFBibTeX XMLCite \textit{G. J. Reid}, Eur. J. Appl. Math. 2, No. 4, 293--318 (1991; Zbl 0768.35001) Full Text: DOI
Rall, L. B. Differentiation arithmetics. (English) Zbl 0717.68055 Computer arithmetic and self-validating numerical methods, Proc. Int. Conf., Basel/Switz. 1989, Notes Rep. Math. Sci. Eng. 7, 73-90 (1990). MSC: 68W30 PDFBibTeX XML
Ko, Ker-I; Friedman, Harvey Computing power series in polynomial time. (English) Zbl 0645.03059 Adv. Appl. Math. 9, No. 1, 40-50 (1988). Reviewer: K.Ko MSC: 03F60 68Q25 03D60 PDFBibTeX XMLCite \textit{K.-I Ko} and \textit{H. Friedman}, Adv. Appl. Math. 9, No. 1, 40--50 (1988; Zbl 0645.03059) Full Text: DOI
Fitzpatrick, J. Michael; Leuze, Michael R. A class of one-to-one two-dimensional transformations. (English) Zbl 0668.68121 Comput. Vision Graphics Image Process. 39, No. 3, 369-382 (1987). Reviewer: T.Thrivikraman MSC: 68U99 30C10 92B05 PDFBibTeX XMLCite \textit{J. M. Fitzpatrick} and \textit{M. R. Leuze}, Comput. Vis. Graph. Image Process. 39, No. 3, 369--382 (1987; Zbl 0668.68121) Full Text: DOI
Müller, N. Th. Uniform computational complexity of Taylor series. (English) Zbl 0645.03060 Automata, languages and programming, Proc. 14th Int. Colloq., Karlsruhe/FRG 1987, Lect. Notes Comput. Sci. 267, 435-444 (1987). MSC: 03F60 68Q25 03D60 PDFBibTeX XML
Allouche, Jean-Paul Finite automata in number theory. (Automates finis en théorie des nombres.) (French) Zbl 0641.10041 Expo. Math. 5, 239-266 (1987). Reviewer: Ya. G. Berkovich MSC: 11B85 11K31 68Q70 11A63 42A61 20C30 05A17 33C55 PDFBibTeX XMLCite \textit{J.-P. Allouche}, Expo. Math. 5, 239--266 (1987; Zbl 0641.10041)
Reghbati, H. K. Techniques and issues in testing and validation of VLSI systems. (English) Zbl 0634.68057 Adv. Comput. 26, 281-334 (1987). Reviewer: H.Salum MSC: 68Q45 94C10 68W99 68U20 PDFBibTeX XML
Forbes, G. W. Automation of the manipulation of multivariate power series. (English) Zbl 0627.65004 J. Comput. Appl. Math. 15, 37-58 (1986). Reviewer: M.Gutknecht MSC: 65B10 26B12 26E05 26-04 41A58 68W30 PDFBibTeX XMLCite \textit{G. W. Forbes}, J. Comput. Appl. Math. 15, 37--58 (1986; Zbl 0627.65004) Full Text: DOI
Hocken, R. D.; Salehi, S. V.; Marshall, J. E. Time-delay mismatch and the performance of predictor control schemes. (English) Zbl 0514.93035 Int. J. Control 38, 433-447 (1983). MSC: 93B99 34K35 93B17 41A58 68U20 PDFBibTeX XMLCite \textit{R. D. Hocken} et al., Int. J. Control 38, 433--447 (1983; Zbl 0514.93035) Full Text: DOI
Marmarelis, Vasilis Z. Nonparametric validation of parametric models. (English) Zbl 0516.93061 Math. Modelling 3, 305-309 (1982). MSC: 93E12 62G10 68U20 93C10 41A58 45D05 PDFBibTeX XMLCite \textit{V. Z. Marmarelis}, Math. Modelling 3, 305--309 (1982; Zbl 0516.93061) Full Text: DOI
Parker, G. A.; Moore, E. L. Practical nonlinear system identification using a modified Volterra series approach. (English) Zbl 0474.93067 Automatica 18, 85-91 (1982). MSC: 93E12 93C10 93E25 62J99 93C57 68U20 41A58 PDFBibTeX XMLCite \textit{G. A. Parker} and \textit{E. L. Moore}, Automatica 18, 85--91 (1982; Zbl 0474.93067) Full Text: DOI
Fateman, Richard J. Computer algebra and numerical integration. (English) Zbl 0485.65016 Symbolic and algebraic computation, Proc. ACM Symp., Snowbird/Utah 1981, 228-232 (1981). MSC: 65D32 68W30 PDFBibTeX XML
Grisell, R. Bilinear and quadratic modeling. (English) Zbl 0548.93014 Mathematical modelling, Proc. 2nd int. Conf., St. Louis/Mo. 1979, 925-936 (1980). MSC: 93B15 41A58 93C10 68U20 PDFBibTeX XML
Poggio, T.; Reichardt, W. On the representation of multi-input systems: Computational properties of polynomial algorithms. (English) Zbl 0465.68032 Biol. Cybern. 37, 167-186 (1980). MSC: 68Q45 68W99 93B40 93A99 92Cxx 94C99 PDFBibTeX XMLCite \textit{T. Poggio} and \textit{W. Reichardt}, Biol. Cybern. 37, 167--186 (1980; Zbl 0465.68032) Full Text: DOI
Kedem, Gershon Automatic differentiation of computer programs. (English) Zbl 0441.68041 ACM Trans. Math. Softw. 6, 150-165 (1980). MSC: 68W30 65Y99 41A58 26B05 26B40 PDFBibTeX XMLCite \textit{G. Kedem}, ACM Trans. Math. Softw. 6, 150--165 (1980; Zbl 0441.68041) Full Text: DOI
Werschulz, Arthur G. Computational complexity of one-step methods for systems of differential equations. (English) Zbl 0435.65066 Math. Comput. 34, 155-174 (1980). MSC: 65L05 68Q25 PDFBibTeX XMLCite \textit{A. G. Werschulz}, Math. Comput. 34, 155--174 (1980; Zbl 0435.65066) Full Text: DOI
Rowe, Paul P. Some nonlinear operators for picture processing. (English) Zbl 0429.68073 Pattern Recognition 11, 341-342 (1979). MSC: 68T10 PDFBibTeX XMLCite \textit{P. P. Rowe}, Pattern Recognition 11, 341--342 (1979; Zbl 0429.68073) Full Text: DOI
Gautschi, Walter A computational procedure for incomplete gamma functions. (English) Zbl 0429.65011 ACM Trans. Math. Softw. 5, 466-481 (1979). MSC: 65D20 33B15 65-04 68W99 PDFBibTeX XMLCite \textit{W. Gautschi}, ACM Trans. Math. Softw. 5, 466--481 (1979; Zbl 0429.65011) Full Text: DOI
Nazirov, Sh. Die Berechnung eines algebraischen Ausdrucks und die Taylorsche Reihenentwicklung auf dem Elektronenrechner. (Russian) Zbl 0426.68016 Vopr. Vychisl. Prikl. Mat. 52, 77-86 (1978). MSC: 68W30 PDFBibTeX XMLCite \textit{Sh. Nazirov}, Vopr. Vychisl. Prikl. Mat. 52, 77--86 (1978; Zbl 0426.68016)
Kolpakov, V. I. Programm zur Verbesserung der Konvergenz der Taylorreihe mittels der \(\sigma\)-Methode mit verdoppelter Genauigkeit. (Russian) Zbl 0272.65070 Vychisl. Metody Program. 2, Saratov, 21-26 (1968). MSC: 65L99 68W99 PDFBibTeX XML
Zyuzin, V. S.; Kolpakov, V. I. Programm zur Verbesserung der Konvergenz der Taylorreihe mittels der \(\sigma\)-Methode. (Russian) Zbl 0272.65069 Vychisl. Metody Program. 2, Saratov, 17-20 (1968). MSC: 65L99 68W99 PDFBibTeX XML