Wang, Yuxuan; Wang, Tongke; Lian, Huan The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations. (English) Zbl 07792395 Numer. Algorithms 95, No. 2, 637-663 (2024). MSC: 65R20 41A21 41A58 45D05 65R20 PDFBibTeX XMLCite \textit{Y. Wang} et al., Numer. Algorithms 95, No. 2, 637--663 (2024; Zbl 07792395) Full Text: DOI
Estévez Schwarz, Diana; Lamour, René Projected explicit and implicit Taylor series methods for DAEs. (English) Zbl 1487.65109 Numer. Algorithms 88, No. 2, 615-646 (2021). MSC: 65L80 34A09 65K10 PDFBibTeX XMLCite \textit{D. Estévez Schwarz} and \textit{R. Lamour}, Numer. Algorithms 88, No. 2, 615--646 (2021; Zbl 1487.65109) Full Text: DOI
Asharabi, Rashad M.; Prestin, Jurgen Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions. (English) Zbl 1460.94030 Numer. Algorithms 86, No. 4, 1421-1441 (2021). MSC: 94A20 41A58 32A15 41A80 41A25 65L70 PDFBibTeX XMLCite \textit{R. M. Asharabi} and \textit{J. Prestin}, Numer. Algorithms 86, No. 4, 1421--1441 (2021; Zbl 1460.94030) Full Text: DOI
Guo, Chun-Hua; Lu, Di A study of Schröder’s method for the matrix \(p\)th root using power series expansions. (English) Zbl 1434.65056 Numer. Algorithms 83, No. 1, 265-279 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 65F60 65H04 41A58 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{D. Lu}, Numer. Algorithms 83, No. 1, 265--279 (2020; Zbl 1434.65056) Full Text: DOI arXiv
Goldman, Ron; Simeonov, Plamen \(q\)-blossoming for analytic functions. (English) Zbl 1425.30002 Numer. Algorithms 82, No. 1, 107-121 (2019). MSC: 30B10 30E10 PDFBibTeX XMLCite \textit{R. Goldman} and \textit{P. Simeonov}, Numer. Algorithms 82, No. 1, 107--121 (2019; Zbl 1425.30002) Full Text: DOI
Van Gorder, Robert A. On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. (English) Zbl 1375.65103 Numer. Algorithms 76, No. 1, 151-162 (2017). MSC: 65L10 34B15 34A25 65L20 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 76, No. 1, 151--162 (2017; Zbl 1375.65103) Full Text: DOI
Pearson, John W.; Olver, Sheehan; Porter, Mason A. Numerical methods for the computation of the confluent and Gauss hypergeometric functions. (English) Zbl 1360.33009 Numer. Algorithms 74, No. 3, 821-866 (2017). Reviewer: Peter Massopust (München) MSC: 33C05 33C15 41A58 41A60 PDFBibTeX XMLCite \textit{J. W. Pearson} et al., Numer. Algorithms 74, No. 3, 821--866 (2017; Zbl 1360.33009) Full Text: DOI arXiv Link
Sharma, Janak Raj; Arora, Himani A novel derivative free algorithm with seventh order convergence for solving systems of nonlinear equations. (English) Zbl 1320.65077 Numer. Algorithms 67, No. 4, 917-933 (2014). Reviewer: Vasilis Dimitriou (Chania) MSC: 65H10 65Y20 41A58 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{H. Arora}, Numer. Algorithms 67, No. 4, 917--933 (2014; Zbl 1320.65077) Full Text: DOI
Vosoughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model. (English) Zbl 1256.65077 Numer. Algorithms 61, No. 3, 515-524 (2012). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{H. Vosoughi} et al., Numer. Algorithms 61, No. 3, 515--524 (2012; Zbl 1256.65077) Full Text: DOI
Wang, Pengfei; Li, Jianping; Li, Qian Computational uncertainty and the application of a high-performance multiple precision scheme to obtaining the correct reference solution of Lorenz equations. (English) Zbl 1232.65106 Numer. Algorithms 59, No. 1, 147-159 (2012). MSC: 65L05 34A34 34A25 PDFBibTeX XMLCite \textit{P. Wang} et al., Numer. Algorithms 59, No. 1, 147--159 (2012; Zbl 1232.65106) Full Text: DOI
Darania, Parviz; Shali, Jafar Ahmadi; Ivaz, Karim New computational method for solving some 2-dimensional nonlinear Volterra integro-differential equations. (English) Zbl 1215.65195 Numer. Algorithms 57, No. 1, 125-147 (2011). MSC: 65R20 45D05 45G10 45K05 PDFBibTeX XMLCite \textit{P. Darania} et al., Numer. Algorithms 57, No. 1, 125--147 (2011; Zbl 1215.65195) Full Text: DOI
Ilie, Silvana; Corless, Robert M.; Reid, Greg Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. (English) Zbl 1095.65081 Numer. Algorithms 41, No. 2, 161-171 (2006). Reviewer: Guido Vanden Berghe (Gent) MSC: 65L80 65L05 34A09 65Y20 65L50 PDFBibTeX XMLCite \textit{S. Ilie} et al., Numer. Algorithms 41, No. 2, 161--171 (2006; Zbl 1095.65081) Full Text: DOI
Hargreaves, Gareth I.; Higham, Nicholas J. Efficient algorithms for the matrix cosine and sine. (English) Zbl 1084.65039 Numer. Algorithms 40, No. 4, 383-400 (2005). MSC: 65F30 65D20 15A24 15A54 PDFBibTeX XMLCite \textit{G. I. Hargreaves} and \textit{N. J. Higham}, Numer. Algorithms 40, No. 4, 383--400 (2005; Zbl 1084.65039) Full Text: DOI Link
Higham, Nicholas J.; Smith, Matthew I. Computing the matrix cosine. (English) Zbl 1033.65027 Numer. Algorithms 34, No. 1, 13-26 (2003). MSC: 65F30 15A54 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{M. I. Smith}, Numer. Algorithms 34, No. 1, 13--26 (2003; Zbl 1033.65027)
Costabile, F.; Dell’Accio, F. Expansions over a simplex of real functions by means of Bernoulli polynomials. (English) Zbl 0997.65012 Numer. Algorithms 28, No. 1-4, 63-86 (2001). Reviewer: R.Wegmann (Garching) MSC: 65D05 65D32 41A58 41A55 41A63 PDFBibTeX XMLCite \textit{F. Costabile} and \textit{F. Dell'Accio}, Numer. Algorithms 28, No. 1--4, 63--86 (2001; Zbl 0997.65012) Full Text: DOI
Müller, Jürgen Series expansions for computing Bessel functions of variable order on bounded intervals. (English) Zbl 0961.65016 Numer. Algorithms 24, No. 3, 299-308 (2000). Reviewer: N.M.Temme (Amsterdam) MSC: 65D20 33C10 65B10 PDFBibTeX XMLCite \textit{J. Müller}, Numer. Algorithms 24, No. 3, 299--308 (2000; Zbl 0961.65016) Full Text: DOI
Pryce, J. D. Solving high-index DAEs by Taylor series. (English) Zbl 0921.34014 Numer. Algorithms 19, No. 1-4, 195-211 (1998). Reviewer: R.Lamour (Berlin) MSC: 34A45 65L05 34A25 PDFBibTeX XMLCite \textit{J. D. Pryce}, Numer. Algorithms 19, No. 1--4, 195--211 (1998; Zbl 0921.34014) Full Text: DOI
Paszkowski, S. Quasipower and hypergeometric series – construction and evaluation. (English) Zbl 0838.65008 Numer. Algorithms 10, No. 3-4, 337-361 (1995). Reviewer: N.M.Temme (Amsterdam) MSC: 65D20 65B10 41A58 33C05 PDFBibTeX XMLCite \textit{S. Paszkowski}, Numer. Algorithms 10, No. 3--4, 337--361 (1995; Zbl 0838.65008) Full Text: DOI
Verlinden, Pierre; Haegemans, Ann An asymptotic expansion in wavelet analysis and its application to accurate numerical wavelet decomposition. (English) Zbl 0772.65095 Numer. Algorithms 2, No. 3-4, 287-298 (1992). Reviewer: D.D.Stancu (Cluj-Napoca) MSC: 65T40 42C40 41A58 PDFBibTeX XMLCite \textit{P. Verlinden} and \textit{A. Haegemans}, Numer. Algorithms 2, No. 3--4, 287--298 (1992; Zbl 0772.65095) Full Text: DOI
Hayek Calil, Nácere; González-Vera, Pablo; Pérez-Acosta, F. Rational approximation to Neumann series of Bessel functions. (English) Zbl 0784.65011 Numer. Algorithms 3, No. 1-4, 235-244 (1992). Reviewer: Y.Kobayashi (Tottori) MSC: 65D20 33C10 PDFBibTeX XMLCite \textit{N. Hayek Calil} et al., Numer. Algorithms 3, No. 1--4, 235--244 (1992; Zbl 0784.65011) Full Text: DOI