Cao, Huiping; An, Xiaomin; Han, Jing Solving nonlinear equations with a direct Broyden method and its acceleration. (English) Zbl 1518.65061 J. Appl. Math. Comput. 69, No. 2, 1917-1944 (2023). MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{H. Cao} et al., J. Appl. Math. Comput. 69, No. 2, 1917--1944 (2023; Zbl 1518.65061) Full Text: DOI
Zhang, Shenggang; Zhu, Chungang; Gao, Qinjiao High accuracy B-spline quasi-interpolants and applications in numerical analysis. (English) Zbl 1512.65028 Appl. Anal. 102, No. 7, 2035-2054 (2023). MSC: 65D07 41A25 PDFBibTeX XMLCite \textit{S. Zhang} et al., Appl. Anal. 102, No. 7, 2035--2054 (2023; Zbl 1512.65028) Full Text: DOI
Leonenko, Nikolai; Podlubny, Igor Monte Carlo method for fractional-order differentiation. (English) Zbl 1503.65047 Fract. Calc. Appl. Anal. 25, No. 2, 346-361 (2022). MSC: 65D25 65C05 26A33 PDFBibTeX XMLCite \textit{N. Leonenko} and \textit{I. Podlubny}, Fract. Calc. Appl. Anal. 25, No. 2, 346--361 (2022; Zbl 1503.65047) Full Text: DOI
Ewald, Tobias Analysis of geometric univariate subdivision algorithms. (Analyse geometrischer univariater Subdivisionsalgorithmen.) (German) Zbl 1496.65004 Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.). vi, 225 p., open access (2020). MSC: 65-02 65D17 26B05 PDFBibTeX XMLCite \textit{T. Ewald}, Analyse geometrischer univariater Subdivisionsalgorithmen. Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2020; Zbl 1496.65004) Full Text: Link
Markkanen, Tommi; Rajantie, Arttu Scalar correlation functions for a double-well potential in de Sitter space. (English) Zbl 1490.83018 J. Cosmol. Astropart. Phys. 2020, No. 3, Paper No. 49, 23 p. (2020). MSC: 83C20 62H20 35Q84 65D25 35P15 PDFBibTeX XMLCite \textit{T. Markkanen} and \textit{A. Rajantie}, J. Cosmol. Astropart. Phys. 2020, No. 3, Paper No. 49, 23 p. (2020; Zbl 1490.83018) Full Text: DOI arXiv Link
Zhao, Xin Yang; Wang, Wan Sheng Posteriori error estimates for the variable BDF\(_2\) method for parabolic equations. (Chinese. English summary) Zbl 1503.65209 Math. Theory Appl. 37, No. 1, 32-37 (2017). MSC: 65M20 65L06 65L70 PDFBibTeX XMLCite \textit{X. Y. Zhao} and \textit{W. S. Wang}, Math. Theory Appl. 37, No. 1, 32--37 (2017; Zbl 1503.65209)
Miao, Xinhe; Qi, Nuo; Chen, J.-S. Projection formula and one type of spectral factorization associated with \(p\)-order cone. (English) Zbl 1470.49033 J. Nonlinear Convex Anal. 18, No. 9, 1699-1705 (2017). MSC: 49J52 90C33 65K05 26B05 PDFBibTeX XMLCite \textit{X. Miao} et al., J. Nonlinear Convex Anal. 18, No. 9, 1699--1705 (2017; Zbl 1470.49033) Full Text: Link
Kratzenstein, Claudia; Slawig, Thomas Simultaneous model spin-up and parameter identification with the one-shot method in a climate model example. (English) Zbl 1302.49041 Int. J. Optim. Control, Theor. Appl. (IJOCTA) 3, No. 2, 99-110 (2013). MSC: 49M29 49M37 49M15 49N90 90C30 90C53 PDFBibTeX XMLCite \textit{C. Kratzenstein} and \textit{T. Slawig}, Int. J. Optim. Control, Theor. Appl. (IJOCTA) 3, No. 2, 99--110 (2013; Zbl 1302.49041) Full Text: DOI
Chang, Yu-Lin; Chen, Jein-Shan The Hölder continuity of vector-valued function associated with second-order cone. (English) Zbl 1258.26010 Pac. J. Optim. 8, No. 1, 135-141 (2012). MSC: 26B05 26B35 90C33 65K05 PDFBibTeX XMLCite \textit{Y.-L. Chang} and \textit{J.-S. Chen}, Pac. J. Optim. 8, No. 1, 135--141 (2012; Zbl 1258.26010) Full Text: Link
Ramm, A. G. Series that can be differentiated term-wise \(m\) times if the function is \(m\)-smooth. (English) Zbl 1291.65008 Math. Aeterna 1, No. 3, 137-148 (2011). MSC: 65B10 42A20 PDFBibTeX XMLCite \textit{A. G. Ramm}, Math. Æterna 1, No. 3, 137--148 (2011; Zbl 1291.65008)
Drutsa, A. V.; Kobelkov, G. M. Convergence of difference schemes for the large-scale ocean dynamics equations. (English. Russian original) Zbl 1229.86003 Dokl. Math. 84, No. 2, 702-705 (2011); translation from Dokl. Akad. Nauk 440, No. 6, 727-730 (2011). MSC: 86A05 65D25 PDFBibTeX XMLCite \textit{A. V. Drutsa} and \textit{G. M. Kobelkov}, Dokl. Math. 84, No. 2, 702--705 (2011; Zbl 1229.86003); translation from Dokl. Akad. Nauk 440, No. 6, 727--730 (2011) Full Text: DOI
Deĭtseva, A. G. Approximation of the differentiation operator in a coiflet basis. (Russian. English summary) Zbl 1247.65027 Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2010, No. 1, 99-103 (2010). MSC: 65D25 42C40 41A35 PDFBibTeX XMLCite \textit{A. G. Deĭtseva}, Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2010, No. 1, 99--103 (2010; Zbl 1247.65027)
Roy, Ranadhir Efficient calculation of gradients based on automatic differentiation for nonlinear optimization problems like optical tomography. (English) Zbl 1462.65062 Bull. Pure Appl. Math. 4, No. 2, 234-257 (2010). MSC: 65J22 90C90 92C55 PDFBibTeX XMLCite \textit{R. Roy}, Bull. Pure Appl. Math. 4, No. 2, 234--257 (2010; Zbl 1462.65062)
Shampine, Lawrence F. Accurate numerical derivatives in MATLAB. (English) Zbl 1365.65057 ACM Trans. Math. Softw. 33, No. 4, Article No. 26, 17 p. (2007). MSC: 65D25 65Y15 PDFBibTeX XMLCite \textit{L. F. Shampine}, ACM Trans. Math. Softw. 33, No. 4, Article No. 26, 17 p. (2007; Zbl 1365.65057) Full Text: DOI
Forth, Shaun A. An efficient overloaded implementation of forward mode automatic differentiation in MATLAB. (English) Zbl 1365.65053 ACM Trans. Math. Softw. 32, No. 2, 195-222 (2006). MSC: 65D25 65Y15 PDFBibTeX XMLCite \textit{S. A. Forth}, ACM Trans. Math. Softw. 32, No. 2, 195--222 (2006; Zbl 1365.65053) Full Text: DOI Link
Medina, Aurelio; Ramos-Paz, Antonio; Fuerte-Esquivel, Claudio Rubén Efficient computation of the periodic steady state solution of nonlinear electric systems applying parallel processing techniques. (English) Zbl 1121.78384 COMPEL 25, No. 4, 900-915 (2006). MSC: 78M25 65H10 65Y05 65D25 PDFBibTeX XMLCite \textit{A. Medina} et al., COMPEL 25, No. 4, 900--915 (2006; Zbl 1121.78384) Full Text: DOI
Tolstykh, A. I. A family of compact approximations and related multioperator approximations of a given order. (English. Russian original) Zbl 1152.65420 Dokl. Math. 72, No. 1, 519-524 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 403, No. 2, 172-177 (2005). MSC: 65D25 65J10 47A50 PDFBibTeX XMLCite \textit{A. I. Tolstykh}, Dokl. Math. 72, No. 1, 519--524 (2005; Zbl 1152.65420); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 403, No. 2, 172--177 (2005)
Yuan, Xiu Gui; Huang, Cheng Comparison of the finite difference expression with the multiresolution expression for the second derivation. (Chinese. English summary) Zbl 1504.42106 Math. Theory Appl. 24, No. 3, 65-69 (2004). MSC: 42C40 65D25 PDFBibTeX XMLCite \textit{X. G. Yuan} and \textit{C. Huang}, Math. Theory Appl. 24, No. 3, 65--69 (2004; Zbl 1504.42106)
Pan, Ri Jing A recurrent formula and an algorithm for divided-difference expanded coefficients. (Chinese. English summary) Zbl 1480.65033 J. Fujian Norm. Univ., Nat. Sci. 17, No. 2, 28-31 (2001). MSC: 65D05 65D25 PDFBibTeX XMLCite \textit{R. J. Pan}, J. Fujian Norm. Univ., Nat. Sci. 17, No. 2, 28--31 (2001; Zbl 1480.65033)
Molinàs-Mata, Pau; Molinàs-Mata, Patrici Electron resonances and Savitzky-Golay methods: How can the tunneling current be properly calculated? (English) Zbl 1073.81503 Comput. Phys. Commun. 132, No. 1-2, 104-109 (2000). MSC: 81-04 82D37 65Z05 PDFBibTeX XMLCite \textit{P. Molinàs-Mata} and \textit{P. Molinàs-Mata}, Comput. Phys. Commun. 132, No. 1--2, 104--109 (2000; Zbl 1073.81503) Full Text: DOI
Lupaş, Alexandru; Mache, Detlef H. On the numerical differentiation. (English) Zbl 1012.65502 Rev. Anal. Numér. Théor. Approx. 26, No. 1-2, 109-115 (1997). MSC: 65D25 PDFBibTeX XMLCite \textit{A. Lupaş} and \textit{D. H. Mache}, Rev. Anal. Numér. Théor. Approx. 26, No. 1--2, 109--115 (1997; Zbl 1012.65502)
Ostapenko, V. V. A criterion for the weak finite-difference approximation of the operator of the sum of partial derivatives of nonlinear functions. (English. Russian original) Zbl 0963.65524 Dokl. Math. 56, No. 1, 508-511 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 2, 160-163 (1997). MSC: 65M06 65D25 PDFBibTeX XML
Gussejnov, M. A. Universal algorithm for numerical differentiation. (Russian. English summary) Zbl 0981.65504 Mat. Model. 8, No. 3, 49-50 (1996). MSC: 65D25 PDFBibTeX XMLCite \textit{M. A. Gussejnov}, Mat. Model. 8, No. 3, 49--50 (1996; Zbl 0981.65504) Full Text: MNR
Vanden, Kirk J.; Orkwis, Paul D. Comparison of numerical and analytical Jacobians. (English) Zbl 0900.76408 AIAA J. 34, No. 6, 1125-1129 (1996). MSC: 76M25 76N10 65D25 PDFBibTeX XMLCite \textit{K. J. Vanden} and \textit{P. D. Orkwis}, AIAA J. 34, No. 6, 1125--1129 (1996; Zbl 0900.76408) Full Text: DOI
Verwer, J. G.; Blom, J. G. On the coupled solution of diffusion and chemistry in air pollution models. (English) Zbl 0925.65230 Z. Angew. Math. Mech. 76, Suppl. 4, 469-472 (1996). MSC: 65Z05 35Q72 86A10 92E20 35K55 65M06 PDFBibTeX XMLCite \textit{J. G. Verwer} and \textit{J. G. Blom}, Z. Angew. Math. Mech. 76, 469--472 (1996; Zbl 0925.65230)
Corless, Robert M.; Rokicki, Jacek The symbolic generation of finite-difference formulae. (English) Zbl 0900.65296 Z. Angew. Math. Mech. 76, Suppl. 1, 381-382 (1996). MSC: 65N06 65D25 68W30 PDFBibTeX XMLCite \textit{R. M. Corless} and \textit{J. Rokicki}, Z. Angew. Math. Mech. 76, 381--382 (1996; Zbl 0900.65296)
Kubota, Koichi. A Fortran precompiler for automatic differentiation and estimates of rounding errors. (English) Zbl 0900.65041 Z. Angew. Math. Mech. 76, Suppl. 1, 273-274 (1996). MSC: 65D25 65G50 PDFBibTeX XMLCite \textit{Koichi. Kubota}, Z. Angew. Math. Mech. 76, 273--274 (1996; Zbl 0900.65041) Full Text: DOI
Bischof, Christian; Griewank, Andreas Tools for the automatic differentiation of computer programs. (English) Zbl 0900.65042 Z. Angew. Math. Mech. 76, Suppl. 1, 267-271 (1996). MSC: 65D25 PDFBibTeX XMLCite \textit{C. Bischof} and \textit{A. Griewank}, Z. Angew. Math. Mech. 76, 267--271 (1996; Zbl 0900.65042)
Catchpole, E. A.; Morgan, B. J. T. Model selection in ring-recovery models using score tests. (English) Zbl 0875.62535 Biometrics 52, No. 2, 664-672 (1996). MSC: 62P10 PDFBibTeX XMLCite \textit{E. A. Catchpole} and \textit{B. J. T. Morgan}, Biometrics 52, No. 2, 664--672 (1996; Zbl 0875.62535) Full Text: DOI
Krämer, Walter Bases of verified computing. (Grundlagen des verifizierten numerischen Rechnens.) (German) Zbl 0850.65085 Z. Angew. Math. Mech. 75, Suppl. 2, S425-S428 (1995). MSC: 65G30 65H05 65D25 PDFBibTeX XMLCite \textit{W. Krämer}, Z. Angew. Math. Mech. 75, S425--S428 (1995; Zbl 0850.65085)
Mitrea, Alexandru I. On the numerical differentiation for an extended node matrix of Laguerre type. (English) Zbl 0883.65011 Babeș-Bolyai Univ., Fac. Math. Comput. Sci., Res. Semin., Prepr. 1994, No. 7, 15-18 (1994). MSC: 65D25 PDFBibTeX XMLCite \textit{A. I. Mitrea}, Babeș-Bolyai Univ., Fac. Math. Comput. Sci., Res. Semin., Prepr. 1994, No. 7, 15--18 (1994; Zbl 0883.65011)
George, Kemel The digital derivative. (Spanish) Zbl 0875.26018 Lect. Mat. 14, No. 1-3, 49-61 (1993). MSC: 26A24 65D25 39A99 PDFBibTeX XMLCite \textit{K. George}, Lect. Mat. 14, No. 1--3, 49--61 (1993; Zbl 0875.26018)
Gu, Yunhai; Chen, Guoliang A class of stiff-stable linear multistep methods. (Chinese. English summary) Zbl 0850.65145 Math. Numer. Sin. 14, No. 3, 257-265 (1992). MSC: 65L06 65L05 65L20 34A34 34E13 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{G. Chen}, Math. Numer. Sin. 14, No. 3, 257--265 (1992; Zbl 0850.65145)
Chu, Lanying; Sun, Guilan; Bao, Xiu A construction method for numerical partial derivatives. (Chinese. English summary) Zbl 0970.65516 J. Harbin Inst. Technol. 24, No. 6, 12-17 (1992). MSC: 65D25 PDFBibTeX XMLCite \textit{L. Chu} et al., J. Harbin Inst. Technol. 24, No. 6, 12--17 (1992; Zbl 0970.65516)
Brudaru, O.; Crucianu, M. Systolic arrays for estimating derivatives. (English) Zbl 0796.68122 Prepr., ”Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1989, No. 10, 15-32 (1989). MSC: 68W35 65Y10 94C10 PDFBibTeX XMLCite \textit{O. Brudaru} and \textit{M. Crucianu}, Prepr., ``Babeș-Bolyai'' Univ., Fac. Math. Phys., Res. Semin. 1989, No. 10, 15--32 (1989; Zbl 0796.68122)
Ivanov, V. V. Optimal precison approximation of functions with singular points unknow in advance. (English) Zbl 0709.65524 Proc. Steklov Inst. Math. 180, 139-141 (1989). MSC: 65D15 65D25 PDFBibTeX XMLCite \textit{V. V. Ivanov}, Proc. Steklov Inst. Math. 180, 139--141 (1989; Zbl 0709.65524)
Ajda-zade, K. R.; Evtushenko, Yu. G. Fast automatic differentiation on computers. (Russian) Zbl 0972.65504 Mat. Model. 1, No. 1, 120-131 (1989). MSC: 65D25 PDFBibTeX XMLCite \textit{K. R. Ajda-zade} and \textit{Yu. G. Evtushenko}, Mat. Model. 1, No. 1, 120--131 (1989; Zbl 0972.65504) Full Text: MNR
Cui, Minggen; Deng, Zhongxing Approximation of derivatives of functions by derivatives of Lagrange operators. (Chinese. English summary) Zbl 0970.65517 J. Harbin Inst. Technol. 1987, No. 2, 6-15 (1987). MSC: 65D25 41A10 65D05 PDFBibTeX XMLCite \textit{M. Cui} and \textit{Z. Deng}, J. Harbin Inst. Technol. 1987, No. 2, 6--15 (1987; Zbl 0970.65517)