Amstutz, Samuel; Dapogny, Charles; Ferrer, Alex A consistent approximation of the total perimeter functional for topology optimization algorithms. (English) Zbl 07500007 ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022). MSC: 49Q10 49Q12 35J05 35J25 41A60 65K05 PDF BibTeX XML Cite \textit{S. Amstutz} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022; Zbl 07500007) Full Text: DOI OpenURL
Kumar, Kotapally Harish; Jiwari, Ram A note on numerical solution of classical Darboux problem. (English) Zbl 1478.65097 Math. Methods Appl. Sci. 44, No. 17, 12998-13007 (2021). MSC: 65M70 65T60 41A50 35L10 35Q05 PDF BibTeX XML Cite \textit{K. H. Kumar} and \textit{R. Jiwari}, Math. Methods Appl. Sci. 44, No. 17, 12998--13007 (2021; Zbl 1478.65097) Full Text: DOI OpenURL
Dohnal, Tomáš; Rudolf, Daniel NLS approximation for wavepackets in periodic cubically nonlinear wave problems in \(\mathbb{R}^d\). (English) Zbl 1459.35342 Appl. Anal. 99, No. 10, 1685-1723 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q60 35L71 41A60 35C08 65N25 65N06 65L06 65T50 PDF BibTeX XML Cite \textit{T. Dohnal} and \textit{D. Rudolf}, Appl. Anal. 99, No. 10, 1685--1723 (2020; Zbl 1459.35342) Full Text: DOI arXiv OpenURL
Lui, S. H.; Nataj, Sarah Chebyshev spectral collocation in space and time for the heat equation. (English) Zbl 1446.65130 ETNA, Electron. Trans. Numer. Anal. 52, 295-319 (2020). MSC: 65M70 65L05 35K20 35L20 41A10 PDF BibTeX XML Cite \textit{S. H. Lui} and \textit{S. Nataj}, ETNA, Electron. Trans. Numer. Anal. 52, 295--319 (2020; Zbl 1446.65130) Full Text: DOI Link OpenURL
Lal, Shyam; Rakesh The approximations of a function belonging Hölder class \(H^\alpha [0,1)\) by second kind Chebyshev wavelet method and applications in solutions of differential equation. (English) Zbl 1412.42093 Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850062, 19 p. (2019). Reviewer: Gustaf Gripenberg (Helsingfors) MSC: 42C40 65T60 65L10 41A50 PDF BibTeX XML Cite \textit{S. Lal} and \textit{Rakesh}, Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850062, 19 p. (2019; Zbl 1412.42093) Full Text: DOI OpenURL
Vaibhav, Vishal Nonlinear Fourier transform of time-limited and one-sided signals. (English) Zbl 1410.78025 J. Phys. A, Math. Theor. 51, No. 42, Article ID 425201, 34 p. (2018). MSC: 78A60 78A46 94A12 41A46 42B10 37L65 35L70 35Q60 PDF BibTeX XML Cite \textit{V. Vaibhav}, J. Phys. A, Math. Theor. 51, No. 42, Article ID 425201, 34 p. (2018; Zbl 1410.78025) Full Text: DOI arXiv OpenURL
Tang, Yaozong; Li, Xiaolin Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems. (English) Zbl 06819517 Appl. Math., Praha 62, No. 5, 477-492 (2017). MSC: 65M60 65N30 41A58 65M12 65M15 35L20 PDF BibTeX XML Cite \textit{Y. Tang} and \textit{X. Li}, Appl. Math., Praha 62, No. 5, 477--492 (2017; Zbl 06819517) Full Text: DOI OpenURL
Bachmayr, Markus; Cohen, Albert Kolmogorov widths and low-rank approximations of parametric elliptic PDEs. (English) Zbl 1358.65072 Math. Comput. 86, No. 304, 701-724 (2017). MSC: 65N99 35J25 65N12 41A46 PDF BibTeX XML Cite \textit{M. Bachmayr} and \textit{A. Cohen}, Math. Comput. 86, No. 304, 701--724 (2017; Zbl 1358.65072) Full Text: DOI arXiv OpenURL
Turut, Veyis; Güzel, Nuran On solving partial differential equations of fractional order by using the variational iteration method and multivariate Padé approximations. (English) Zbl 1413.65401 Eur. J. Pure Appl. Math. 6, No. 2, 147-171 (2013). MSC: 65M99 41A21 35R11 35L70 35Q53 PDF BibTeX XML Cite \textit{V. Turut} and \textit{N. Güzel}, Eur. J. Pure Appl. Math. 6, No. 2, 147--171 (2013; Zbl 1413.65401) Full Text: Link OpenURL
Zhang, Xiao-Yong; Li, Yan Generalized Laguerre pseudospectral method based Laguerre interpolation. (English) Zbl 1308.41003 Appl. Math. Comput. 219, No. 5, 2545-2563 (2012). MSC: 41A05 PDF BibTeX XML Cite \textit{X.-Y. Zhang} and \textit{Y. Li}, Appl. Math. Comput. 219, No. 5, 2545--2563 (2012; Zbl 1308.41003) Full Text: DOI OpenURL
Turut, Veyis; Çelik, Ercan; Yiğider, Muhammed Multivariate Padé approximation for solving partial differential equations (PDE). (English) Zbl 1219.65116 Int. J. Numer. Methods Fluids 66, No. 9, 1159-1173 (2011). MSC: 65M80 35L45 35L52 41A21 35C10 PDF BibTeX XML Cite \textit{V. Turut} et al., Int. J. Numer. Methods Fluids 66, No. 9, 1159--1173 (2011; Zbl 1219.65116) Full Text: DOI OpenURL
Pasquetti, Richard; Rapetti, Francesca Spectral element methods on unstructured meshes: Which interpolation points? (English) Zbl 1200.65096 Numer. Algorithms 55, No. 2-3, 349-366 (2010). MSC: 65N35 35J25 65D05 41A05 65N15 PDF BibTeX XML Cite \textit{R. Pasquetti} and \textit{F. Rapetti}, Numer. Algorithms 55, No. 2--3, 349--366 (2010; Zbl 1200.65096) Full Text: DOI OpenURL
Doğru, Ogün; Erkuş-Duman, Esra Korovkin type error estimates for positive linear operators involving some special functions. (English) Zbl 1176.41019 Turk. J. Math. 33, No. 1, 41-53 (2009). MSC: 41A25 41A30 41A36 33C45 33C50 PDF BibTeX XML Cite \textit{O. Doğru} and \textit{E. Erkuş-Duman}, Turk. J. Math. 33, No. 1, 41--53 (2009; Zbl 1176.41019) OpenURL
Guessab, Allal On a new family of Gaussian quadrature formulae of Birkhoff type and some lumped mass spectral approximations. II: Generalized Laguerre case on semi-infinite domains. (English) Zbl 1021.65011 Int. J. Pure Appl. Math. 3, No. 2, 193-239 (2002). MSC: 65D32 41A55 65N35 65L60 35J05 34A30 PDF BibTeX XML Cite \textit{A. Guessab}, Int. J. Pure Appl. Math. 3, No. 2, 193--239 (2002; Zbl 1021.65011) OpenURL
Campiti, Michele; Rasa, Ioan On a best extension property with respect to a linear operator. (English) Zbl 0877.47009 Appl. Anal. 64, No. 1-2, 189-202 (1997). Reviewer: M.Campiti (Bari) MSC: 47A58 41A50 PDF BibTeX XML Cite \textit{M. Campiti} and \textit{I. Rasa}, Appl. Anal. 64, No. 1--2, 189--202 (1997; Zbl 0877.47009) Full Text: DOI OpenURL
Boyd, William G. C. Steepest-descents integral representations for dominant solutions of linear second-order differential equations. (English) Zbl 0934.34079 Methods Appl. Anal. 3, No. 2, 174-202 (1996). MSC: 34M30 41A60 34M40 34A30 41A80 PDF BibTeX XML Cite \textit{W. G. C. Boyd}, Methods Appl. Anal. 3, No. 2, 174--202 (1996; Zbl 0934.34079) Full Text: DOI OpenURL
Dunster, T. M. Error bounds for exponentially improved asymptotic solutions of ordinary differential equations having irregular singularities of rank one. (English) Zbl 0859.34039 Methods Appl. Anal. 3, No. 1, 109-134 (1996). Reviewer: I.Badea (Craiova) MSC: 34E05 34M99 41A30 41A60 30E10 30E15 PDF BibTeX XML Cite \textit{T. M. Dunster}, Methods Appl. Anal. 3, No. 1, 109--134 (1996; Zbl 0859.34039) Full Text: DOI OpenURL
Moskowitz, B.; Caflisch, R. E. Smoothness and dimension reduction in quasi-Monte Carlo methods. (English) Zbl 0858.65023 Math. Comput. Modelling 23, No. 8-9, 37-54 (1996). Reviewer: A.Pasculescu (Mississauga/Ontario) MSC: 65D32 41A55 41A63 65C05 65Z05 35K15 PDF BibTeX XML Cite \textit{B. Moskowitz} and \textit{R. E. Caflisch}, Math. Comput. Modelling 23, No. 8--9, 37--54 (1996; Zbl 0858.65023) Full Text: DOI OpenURL
Butzer, P. L.; Gessinger, A. The approximation theoretical behaviour of solutions of specific hyperbolic differential equations at zero and infinity. (English) Zbl 0844.41022 Müller, Manfred W. (ed.) et al., Approximation theory. Proceedings of the 1st international Dortmund meeting IDoMAT 95 held in Witten, Germany, March 13-17, 1995. Berlin: Akademie Verlag. Math. Res. 86, 27-51 (1995). Reviewer: I.E.Tralle (Minsk) MSC: 41A65 35L15 PDF BibTeX XML Cite \textit{P. L. Butzer} and \textit{A. Gessinger}, in: Approximation theory. Proceedings of the 1st international Dortmund meeting IDoMAT 95 held in Witten, Germany, March 13-17, 1995. Berlin: Akademie Verlag. 27--51 (1995; Zbl 0844.41022) OpenURL
Altomare, Francesco Approximation theory methods for the study of diffusion equations. (English) Zbl 0842.41020 Müller, Manfred W. (ed.) et al., Approximation theory. Proceedings of the 1st international Dortmund meeting IDoMAT 95 held in Witten, Germany, March 13-17, 1995. Berlin: Akademie Verlag. Math. Res. 86, 9-26 (1995). Reviewer: I.E.Tralle (Minsk) MSC: 41A35 35J25 PDF BibTeX XML Cite \textit{F. Altomare}, in: Approximation theory. Proceedings of the 1st international Dortmund meeting IDoMAT 95 held in Witten, Germany, March 13-17, 1995. Berlin: Akademie Verlag. 9--26 (1995; Zbl 0842.41020) OpenURL
Pasquini, L. Polynomial solutions to second order linear homogeneous ordinary differential equations. Properties and approximation. (English) Zbl 0787.34018 Calcolo 26, No. 2-4, 167-183 (1989). MSC: 34A45 34A30 33C65 41A10 65L99 PDF BibTeX XML Cite \textit{L. Pasquini}, Calcolo 26, No. 2--4, 167--183 (1989; Zbl 0787.34018) Full Text: DOI OpenURL
Ioakimidis, N. I.; Pitta, M. S. Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity. (English) Zbl 0646.65018 Comput. Methods Appl. Mech. Eng. 69, No. 3, 325-343 (1988). MSC: 65D32 65R20 30E20 41A55 74R05 45E05 PDF BibTeX XML Cite \textit{N. I. Ioakimidis} and \textit{M. S. Pitta}, Comput. Methods Appl. Mech. Eng. 69, No. 3, 325--343 (1988; Zbl 0646.65018) Full Text: DOI OpenURL
Reemtsen, R. Defect minimization in operator equations: theory and applications. (English) Zbl 0682.47033 Pitman Research Notes in Mathematics Series, 163. Harlow: Longman Scientific & Technical; New York: John Wiley & Sons, Inc. xiv, 106 p. $ 34.95 (1987). MSC: 47J25 47-02 34A45 65J15 47A50 41A65 PDF BibTeX XML Cite \textit{R. Reemtsen}, Defect minimization in operator equations: theory and applications. Harlow: Longman Scientific \&| Technical; New York: John Wiley \&| Sons, Inc. (1987; Zbl 0682.47033) OpenURL
Saxena, Anjula Solution of Cauchy’s problem by deficient lacunary spline interpolants. (English) Zbl 0637.34005 Stud. Univ. Babeș-Bolyai, Math. 32, No. 2, 62-70 (1987). MSC: 34A45 34A12 41A15 PDF BibTeX XML Cite \textit{A. Saxena}, Stud. Univ. Babeș-Bolyai, Math. 32, No. 2, 62--70 (1987; Zbl 0637.34005) OpenURL
Harris, B. J. The asymptotic form of the Titchmarsh-Weyl m-function associated with a second order differential equation with locally integrable coefficient. (English) Zbl 0615.34028 Proc. R. Soc. Edinb., Sect. A 102, 243-251 (1986). MSC: 34C05 41A60 PDF BibTeX XML Cite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 102, 243--251 (1986; Zbl 0615.34028) Full Text: DOI OpenURL
Meyer, R. E.; Painter, J. F. Irregular points of modulation. (English) Zbl 0511.34042 Adv. Appl. Math. 4, 145-174 (1983). MSC: 34E20 41A60 PDF BibTeX XML Cite \textit{R. E. Meyer} and \textit{J. F. Painter}, Adv. Appl. Math. 4, 145--174 (1983; Zbl 0511.34042) Full Text: DOI OpenURL
Gusejnov, M. M. On double expansion of a second order differential operator in terms of eigen- and adjoint functions. (Russian) Zbl 0638.34017 Spektr. Teor. Oper. 4, 107-118 (1982). MSC: 34L99 41A60 PDF BibTeX XML OpenURL
Kersten, H. Die C-Vollständigkeit partikulaerer Lösungssysteme der Schwingungsgleichung Delta U + \(k^ 2\) U = 0. (German) Zbl 0474.35038 Result. Math. 4, 155-170 (1981). MSC: 35J05 35J25 35J67 41A30 41A63 PDF BibTeX XML Cite \textit{H. Kersten}, Result. Math. 4, 155--170 (1981; Zbl 0474.35038) Full Text: DOI OpenURL
Wanka, Gert Gleichmäßige Approximation durch Lösungen von Randwertproblemen elliptischer Differentialgleichungen zweiter Ordnung. (German) Zbl 0472.35008 Beitr. Anal. 17, 19-29 (1981). MSC: 35A35 35J25 41A35 PDF BibTeX XML Cite \textit{G. Wanka}, Beitr. Anal. 17, 19--29 (1981; Zbl 0472.35008) OpenURL
Chikwendu, S. C. Non-linear wave propagation solutions by Fourier transform perturbation. (English) Zbl 0471.73015 Int. J. Non-Linear Mech. 16, 117-128 (1981). MSC: 74S30 35B20 35L05 42B10 41A60 PDF BibTeX XML Cite \textit{S. C. Chikwendu}, Int. J. Non-Linear Mech. 16, 117--128 (1981; Zbl 0471.73015) Full Text: DOI OpenURL
Orochko, Yu. B. Smooth approximation of selfadjoint differential operators of divergence form with bounded measurable coefficients. (English) Zbl 0459.47044 Math. USSR, Sb. 37, 389-401 (1980). MSC: 47F05 35R05 35J15 35A35 35P05 35J10 47A60 47B25 41A35 47A10 PDF BibTeX XML Cite \textit{Yu. B. Orochko}, Math. USSR, Sb. 37, 389--401 (1980; Zbl 0459.47044) Full Text: DOI OpenURL
Trench, William F. Interpolating functions associated with second-order differential equations. (English) Zbl 0433.34012 Proc. Am. Math. Soc. 78, 253-266 (1980). MSC: 34A45 41A05 PDF BibTeX XML Cite \textit{W. F. Trench}, Proc. Am. Math. Soc. 78, 253--266 (1980; Zbl 0433.34012) Full Text: DOI OpenURL
Babin, A. V. On the expression of a solution of the equation Au=h in terms of iterations of the unbounded operator A, and the weighted approximation of functions. (English) Zbl 0437.41019 Russ. Math. Surv. 34, No. 3, 195 (1979). MSC: 41A35 41A10 35J15 PDF BibTeX XML Cite \textit{A. V. Babin}, Russ. Math. Surv. 34, No. 3, 195 (1979; Zbl 0437.41019) Full Text: DOI OpenURL
Babin, A. V. Über eine Formel für die Lösung der Gleichung Au=h durch Iteration des unbeschränkten Operators A und über die bewichtete Approximation von Funktionen. (Russian) Zbl 0411.41005 Usp. Mat. Nauk 34, No. 3(207), 189 (1979). MSC: 41A35 41A10 35J15 PDF BibTeX XML Cite \textit{A. V. Babin}, Usp. Mat. Nauk 34, No. 3(207), 189 (1979; Zbl 0411.41005) OpenURL
Strygin, V. V. (ed.) Approximate methods for investigating differential equations and their applications. No.4. (Priblizhennye metody issledovaniya differentisil’nykh uravnenij i ikh prilozheniya. Vyp. 4). (Russian) Zbl 0508.34002 Kujbyshev: Kujbyshevskij Gosudarstvennyj Universitet. 140 p. R. 0.80 (1978). MSC: 34-02 34D15 34E15 34G10 34A45 41A25 PDF BibTeX XML OpenURL
Lawson, J. D.; Morris, J. Ll. The extrapolation of first order methods for parabolic partial differential equations. I. (English) Zbl 0397.65064 SIAM J. Numer. Anal. 15, 1212-1224 (1978). MSC: 65M12 41A21 35K05 35K15 35K20 65M06 PDF BibTeX XML Cite \textit{J. D. Lawson} and \textit{J. Ll. Morris}, SIAM J. Numer. Anal. 15, 1212--1224 (1978; Zbl 0397.65064) Full Text: DOI OpenURL