Gu, Dongqin; Zhang, Chao; Wang, Zhongqing Well-conditioned spectral collocation methods for problems in unbounded domains. (English) Zbl 07296127 Numer. Math., Theory Methods Appl. 13, No. 2, 452-478 (2020). MSC: 65M70 65N35 33C45 PDF BibTeX XML Cite \textit{D. Gu} et al., Numer. Math., Theory Methods Appl. 13, No. 2, 452--478 (2020; Zbl 07296127) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena A 3D efficient procedure for Shepard interpolants on tetrahedra. (English) Zbl 07249914 Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part I. Cham: Springer (ISBN 978-3-030-39080-8/pbk; 978-3-030-39081-5/ebook). Lecture Notes in Computer Science 11973, 27-34 (2020). MSC: 65 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Lect. Notes Comput. Sci. 11973, 27--34 (2020; Zbl 07249914) Full Text: DOI
Cavoretto, R.; De Rossi, A.; Dell’Accio, F.; Di Tommaso, F. An efficient trivariate algorithm for tetrahedral Shepard interpolation. (English) Zbl 07174111 J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020; Zbl 07174111) Full Text: DOI
Shen, Wen An introduction to numerical computation. 2nd edition. (English) Zbl 07102013 Hackensack, NJ: World Scientific (ISBN 978-981-12-0441-8/hbk; 978-981-120-518-7/pbk; 978-981-12-0443-2/ebook). xv, 322 p. (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65Dxx 65Lxx 65Mxx 65Nxx 65Rxx 65T40 65T50 65F15 PDF BibTeX XML Cite \textit{W. Shen}, An introduction to numerical computation. 2nd edition. Hackensack, NJ: World Scientific (2020; Zbl 07102013) Full Text: DOI
Kämmerer, Lutz; Volkmer, Toni Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices. (English) Zbl 1455.65240 J. Approx. Theory 246, 1-27 (2019). MSC: 65T40 42B05 42B35 65D30 65T50 65Y20 PDF BibTeX XML Cite \textit{L. Kämmerer} and \textit{T. Volkmer}, J. Approx. Theory 246, 1--27 (2019; Zbl 1455.65240) Full Text: DOI arXiv
Bittens, Sina; Zhang, Ruochuan; Iwen, Mark A. A deterministic sparse FFT for functions with structured Fourier sparsity. (English) Zbl 07074869 Adv. Comput. Math. 45, No. 2, 519-561 (2019). MSC: 94 42A10 42A15 42A16 42A32 65T40 65T50 68W25 94A12 PDF BibTeX XML Cite \textit{S. Bittens} et al., Adv. Comput. Math. 45, No. 2, 519--561 (2019; Zbl 07074869) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena Fast computation of triangular Shepard interpolants. (English) Zbl 1431.65011 J. Comput. Appl. Math. 354, 457-470 (2019). MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Comput. Appl. Math. 354, 457--470 (2019; Zbl 1431.65011) Full Text: DOI
Merhi, Sami; Zhang, Ruochuan; Iwen, Mark A.; Christlieb, Andrew A new class of fully discrete sparse Fourier transforms: faster stable implementations with guarantees. (English) Zbl 1431.65253 J. Fourier Anal. Appl. 25, No. 3, 751-784 (2019). MSC: 65T50 65T40 68W25 PDF BibTeX XML Cite \textit{S. Merhi} et al., J. Fourier Anal. Appl. 25, No. 3, 751--784 (2019; Zbl 1431.65253) Full Text: DOI arXiv
Bremer, James An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. (English) Zbl 1418.65037 Adv. Comput. Math. 45, No. 1, 173-211 (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 65D20 33C10 33F05 33F10 65L99 34E05 PDF BibTeX XML Cite \textit{J. Bremer}, Adv. Comput. Math. 45, No. 1, 173--211 (2019; Zbl 1418.65037) Full Text: DOI arXiv
Shen, Jie; Wang, Yingwei; Xia, Jianlin Fast structured Jacobi-Jacobi transforms. (English) Zbl 07040627 Math. Comput. 88, No. 318, 1743-1772 (2019). MSC: 65T50 65D05 65N35 65F30 PDF BibTeX XML Cite \textit{J. Shen} et al., Math. Comput. 88, No. 318, 1743--1772 (2019; Zbl 07040627) Full Text: DOI
Conte, S. D.; de Boor, Carl Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. (English) Zbl 1392.65002 Classics in Applied Mathematics 78. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-519-2/pbk; 978-1-61197-520-8/ebook). xxiv, 456 p. (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65-01 65G50 65Dxx 41A05 41A15 41A55 65Hxx 65F05 65F10 65F15 65L05 65L10 65L20 65-04 PDF BibTeX XML Cite \textit{S. D. Conte} and \textit{C. de Boor}, Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2018; Zbl 1392.65002) Full Text: DOI
Börm, S.; Börst, C.; Melenk, J. M. An analysis of a butterfly algorithm. (English) Zbl 1396.65171 Comput. Math. Appl. 74, No. 9, 2125-2143 (2017). MSC: 65T50 65N38 35J05 65Y20 PDF BibTeX XML Cite \textit{S. Börm} et al., Comput. Math. Appl. 74, No. 9, 2125--2143 (2017; Zbl 1396.65171) Full Text: DOI
Lu, Jianfeng; Thicke, Kyle Cubic scaling algorithms for RPA correlation using interpolative separable density fitting. (English) Zbl 1375.81259 J. Comput. Phys. 351, 187-202 (2017). MSC: 81V70 65D05 65Z05 PDF BibTeX XML Cite \textit{J. Lu} and \textit{K. Thicke}, J. Comput. Phys. 351, 187--202 (2017; Zbl 1375.81259) Full Text: DOI
Liu, Guidong; Xiang, Shuhuang Fast multipole methods for approximating a function from sampling values. (English) Zbl 1421.65004 Numer. Algorithms 76, No. 3, 727-743 (2017). Reviewer: Ivana Linkeová (Praha) MSC: 65D05 65D15 31C20 PDF BibTeX XML Cite \textit{G. Liu} and \textit{S. Xiang}, Numer. Algorithms 76, No. 3, 727--743 (2017; Zbl 1421.65004) Full Text: DOI
Byrenheid, Glenn; Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness. (English) Zbl 1422.65467 Numer. Math. 136, No. 4, 993-1034 (2017). Reviewer: Jiří Hrivnák (Praha) MSC: 65T40 42A10 65D30 65D32 68Q17 68Q25 42B35 65T50 65Y20 PDF BibTeX XML Cite \textit{G. Byrenheid} et al., Numer. Math. 136, No. 4, 993--1034 (2017; Zbl 1422.65467) Full Text: DOI
Pan, Victor Y. Fast approximate computations with Cauchy matrices and polynomials. (English) Zbl 1392.65122 Math. Comput. 86, No. 308, 2799-2826 (2017). MSC: 65Y20 12Y05 15A04 47A65 65D99 65Fxx 68Q25 PDF BibTeX XML Cite \textit{V. Y. Pan}, Math. Comput. 86, No. 308, 2799--2826 (2017; Zbl 1392.65122) Full Text: DOI
Richter, Thomas; Wick, Thomas Introduction to numerical analysis. Notions, concepts and numerous examples. (Einführung in die numerische Mathematik. Begriffe, Konzepte und zahlreiche Anwendungsbeispiele.) (German) Zbl 1392.65003 Heidelberg: Springer Spektrum (ISBN 978-3-662-54177-7/pbk; 978-3-662-54178-4/ebook). x, 478 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 65Bxx 65Dxx 65Fxx 65Hxx PDF BibTeX XML Cite \textit{T. Richter} and \textit{T. Wick}, Einführung in die numerische Mathematik. Begriffe, Konzepte und zahlreiche Anwendungsbeispiele. Heidelberg: Springer Spektrum (2017; Zbl 1392.65003) Full Text: DOI
Gasenko, V. G. The differential Fourier transform method. (Russian, English) Zbl 1374.65221 Sib. Zh. Ind. Mat. 20, No. 1, 21-30 (2017); translation in J. Appl. Ind. Math. 11, No. 1, 40-48 (2017). MSC: 65T40 42A38 65T50 PDF BibTeX XML Cite \textit{V. G. Gasenko}, Sib. Zh. Ind. Mat. 20, No. 1, 21--30 (2017; Zbl 1374.65221); translation in J. Appl. Ind. Math. 11, No. 1, 40--48 (2017) Full Text: DOI
Pan, Victor Y.; Tsigaridas, Elias P. Nearly optimal computations with structured matrices. (English) Zbl 1375.65047 Theor. Comput. Sci. 681, 117-137 (2017). MSC: 65F05 65Y20 15B05 65D05 PDF BibTeX XML Cite \textit{V. Y. Pan} and \textit{E. P. Tsigaridas}, Theor. Comput. Sci. 681, 117--137 (2017; Zbl 1375.65047) Full Text: DOI
Rutka, Przemysław; Smarzewski, Ryszard Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials. (English) Zbl 1366.41002 Math. Comput. 86, No. 307, 2409-2427 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A05 33C45 65D05 PDF BibTeX XML Cite \textit{P. Rutka} and \textit{R. Smarzewski}, Math. Comput. 86, No. 307, 2409--2427 (2017; Zbl 1366.41002) Full Text: DOI
Hu, Xianfeng; Iwen, Mark; Kim, Hyejin Rapidly computing sparse Legendre expansions via sparse Fourier transforms. (English) Zbl 1365.65034 Numer. Algorithms 74, No. 4, 1029-1059 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D15 41A10 40A25 65T50 PDF BibTeX XML Cite \textit{X. Hu} et al., Numer. Algorithms 74, No. 4, 1029--1059 (2017; Zbl 1365.65034) Full Text: DOI arXiv
Kunis, Stefan; Melzer, Ines Fast evaluation of real and complex exponential sums. (English) Zbl 1355.65187 ETNA, Electron. Trans. Numer. Anal. 46, 23-35 (2017). MSC: 65T50 42A15 30E10 65D05 65F30 PDF BibTeX XML Cite \textit{S. Kunis} and \textit{I. Melzer}, ETNA, Electron. Trans. Numer. Anal. 46, 23--35 (2017; Zbl 1355.65187) Full Text: EMIS arXiv
Cavoretto, Roberto; De Rossi, Alessandra; Perracchione, Emma Efficient computation of partition of unity interpolants through a block-based searching technique. (English) Zbl 1443.65009 Comput. Math. Appl. 71, No. 12, 2568-2584 (2016). MSC: 65D05 65D12 41A05 41A30 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Comput. Math. Appl. 71, No. 12, 2568--2584 (2016; Zbl 1443.65009) Full Text: DOI
Shtanov, Yu. N.; Koshcheev, V. P.; Morgun, D. A.; Panina, T. A. Modeling of atomic diffusion coefficient of channeled particles. (Russian. English summary) Zbl 1363.81016 Mat. Model. 28, No. 9, 24-30 (2016). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 81V45 82D10 81V10 81V25 81V35 81V55 76R50 65Y10 65T40 65T50 65M50 PDF BibTeX XML Cite \textit{Yu. N. Shtanov} et al., Mat. Model. 28, No. 9, 24--30 (2016; Zbl 1363.81016) Full Text: MNR
Hielscher, Ralf; Quellmalz, Michael Reconstructing a function on the sphere from its means along vertical slices. (English) Zbl 1348.65183 Inverse Probl. Imaging 10, No. 3, 711-739 (2016). MSC: 65T40 45Q05 65N21 44A12 62G05 PDF BibTeX XML Cite \textit{R. Hielscher} and \textit{M. Quellmalz}, Inverse Probl. Imaging 10, No. 3, 711--739 (2016; Zbl 1348.65183) Full Text: DOI
Andersson, Fredrik; Carlsson, Marcus; Nikitin, Viktor V. Fast algorithms and efficient GPU implementations for the Radon transform and the back-projection operator represented as convolution operators. (English) Zbl 1346.65070 SIAM J. Imaging Sci. 9, No. 2, 637-664 (2016). MSC: 65R10 65R32 44A12 65T50 PDF BibTeX XML Cite \textit{F. Andersson} et al., SIAM J. Imaging Sci. 9, No. 2, 637--664 (2016; Zbl 1346.65070) Full Text: DOI arXiv
Adcock, Ben; Platte, Rodrigo B. A mapped polynomial method for high-accuracy approximations on arbitrary grids. (English) Zbl 1342.65088 SIAM J. Numer. Anal. 54, No. 4, 2256-2281 (2016). MSC: 65D15 65D05 65T50 PDF BibTeX XML Cite \textit{B. Adcock} and \textit{R. B. Platte}, SIAM J. Numer. Anal. 54, No. 4, 2256--2281 (2016; Zbl 1342.65088) Full Text: DOI
Gholami, Amir; Malhotra, Dhairya; Sundar, Hari; Biros, George FFT, FMM, or multigrid? A comparative study of state-of-the-art Poisson solvers for uniform and nonuniform grids in the unit cube. (English) Zbl 1369.65138 SIAM J. Sci. Comput. 38, No. 3, C280-C306 (2016). MSC: 65N22 65N55 65T40 65T50 65Y05 78M16 PDF BibTeX XML Cite \textit{A. Gholami} et al., SIAM J. Sci. Comput. 38, No. 3, C280--C306 (2016; Zbl 1369.65138) Full Text: DOI arXiv
Bartels, Sören Numerics \(3\times 9\). Three topics in nine short chapters respectively. (Numerik \(3\times 9\). Drei Themengebiete in jeweils neun kurzen Kapiteln.) (German) Zbl 1336.65001 Springer-Lehrbuch. Heidelberg: Springer Spektrum (ISBN 978-3-662-48202-5/pbk; 978-3-662-48203-2/ebook). xiii, 380 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 65D05 65D10 65D32 65Fxx 65G50 65H10 65H17 65K05 65L05 65T50 65Y15 PDF BibTeX XML Cite \textit{S. Bartels}, Numerik \(3\times 9\). Drei Themengebiete in jeweils neun kurzen Kapiteln. Heidelberg: Springer Spektrum (2016; Zbl 1336.65001) Full Text: DOI
De Marchi, Stefano; Santin, Gabriele Fast computation of orthonormal basis for RBF spaces through Krylov space methods. (English) Zbl 1333.41001 BIT 55, No. 4, 949-966 (2015). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 65Y20 PDF BibTeX XML Cite \textit{S. De Marchi} and \textit{G. Santin}, BIT 55, No. 4, 949--966 (2015; Zbl 1333.41001) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra A trivariate interpolation algorithm using a cube-partition searching procedure. (English) Zbl 1327.65022 SIAM J. Sci. Comput. 37, No. 4, A1891-A1908 (2015). MSC: 65D05 65D15 65D17 PDF BibTeX XML Cite \textit{R. Cavoretto} and \textit{A. De Rossi}, SIAM J. Sci. Comput. 37, No. 4, A1891--A1908 (2015; Zbl 1327.65022) Full Text: DOI arXiv
Pan, Victor Y.; Tsigaridas, Elias P. Nearly optimal computations with structured matrices. (English) Zbl 1346.68297 Watt, Stephen M. (ed.) et al., Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28–31, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2963-7). 21-30 (2014). MSC: 68W30 65F10 68Q17 68Q25 PDF BibTeX XML Cite \textit{V. Y. Pan} and \textit{E. P. Tsigaridas}, in: Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28--31, 2014. New York, NY: Association for Computing Machinery (ACM). 21--30 (2014; Zbl 1346.68297) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra A meshless interpolation algorithm using a cell-based searching procedure. (English) Zbl 1350.65012 Comput. Math. Appl. 67, No. 5, 1024-1038 (2014). MSC: 65D05 65Y20 PDF BibTeX XML Cite \textit{R. Cavoretto} and \textit{A. De Rossi}, Comput. Math. Appl. 67, No. 5, 1024--1038 (2014; Zbl 1350.65012) Full Text: DOI
Lei, Na; Teng, Yuan; Ren, Yuxue A fast algorithm for multivariate Hermite interpolation. (English) Zbl 1324.65012 Appl. Math., Ser. B (Engl. Ed.) 29, No. 4, 438-454 (2014). MSC: 65D05 41A05 41A63 65Y20 PDF BibTeX XML Cite \textit{N. Lei} et al., Appl. Math., Ser. B (Engl. Ed.) 29, No. 4, 438--454 (2014; Zbl 1324.65012) Full Text: DOI
Bilato, Roberto; Maj, Omar; Brambilla, Marco An algorithm for fast Hilbert transform of real functions. (English) Zbl 1311.65161 Adv. Comput. Math. 40, No. 5-6, 1159-1168 (2014). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R10 65Y20 44A15 65T50 PDF BibTeX XML Cite \textit{R. Bilato} et al., Adv. Comput. Math. 40, No. 5--6, 1159--1168 (2014; Zbl 1311.65161) Full Text: DOI
Pan, Victor Y. Fast approximate computations with Cauchy matrices, polynomials and rational functions. (English) Zbl 1392.65121 Hirsch, Edward A. (ed.) et al., Computer science – theory and applications. 9th international computer science symposium in Russia, CSR 2014, Moscow, Russia, June 7–11, 2014. Proceedings. Berlin: Springer (ISBN 978-3-319-06685-1/pbk). Lecture Notes in Computer Science 8476, 287-299 (2014). MSC: 65Y20 12Y05 15A04 47A65 65D99 65Fxx 68Q25 PDF BibTeX XML Cite \textit{V. Y. Pan}, Lect. Notes Comput. Sci. 8476, 287--299 (2014; Zbl 1392.65121) Full Text: DOI
Griewank, Andreas; Lehmann, Lutz; Leovey, Hernan; Zilberman, Marat Automatic evaluations of cross-derivatives. (English) Zbl 1278.65022 Math. Comput. 83, No. 285, 251-274 (2014). MSC: 65D25 68W30 65C05 65T50 91G60 65Y20 PDF BibTeX XML Cite \textit{A. Griewank} et al., Math. Comput. 83, No. 285, 251--274 (2014; Zbl 1278.65022) Full Text: DOI
Poppe, Koen; Cools, Ronald CHEBINT, a MATLAB/Octave toolbox for fast multivariate integration and interpolation based on Chebyshev approximations over hypercubes. (English) Zbl 1298.65042 ACM Trans. Math. Softw. 40, No. 1, Paper No. 2, 13 p. (2013). MSC: 65D32 65D15 65T50 65D05 41A55 41A05 41A63 PDF BibTeX XML Cite \textit{K. Poppe} and \textit{R. Cools}, ACM Trans. Math. Softw. 40, No. 1, Paper No. 2, 13 p. (2013; Zbl 1298.65042) Full Text: DOI
Grivet, Jean-Philippe Applied numerical methods for the scientist and the engineer. With the collaboration of Magali Ribot. (Méthodes numériques appliqués pour le scientifique et l’ingénieur. Avec la contribution de Magali Ribot.) (French) Zbl 1328.65004 Grenoble Sciences. Les Ulis: EDP Sciences (ISBN 978-2-7598-0829-8/pbk). xiv, 391 p. (2013). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 00A06 00A69 65Dxx 65C05 65Fxx 65H05 65T50 65Lxx 65Nxx 65Mxx PDF BibTeX XML Cite \textit{J.-P. Grivet}, Méthodes numériques appliqués pour le scientifique et l'ingénieur. Avec la contribution de Magali Ribot. Les Ulis: EDP Sciences (2013; Zbl 1328.65004)
Damle, Anil; Beylkin, Gregory; Haut, Terry; Monzón, Lucas Near optimal rational approximations of large data sets. (English) Zbl 1336.94015 Appl. Comput. Harmon. Anal. 35, No. 2, 251-263 (2013). MSC: 94A12 41A20 65D10 PDF BibTeX XML Cite \textit{A. Damle} et al., Appl. Comput. Harmon. Anal. 35, No. 2, 251--263 (2013; Zbl 1336.94015) Full Text: DOI
Corless, Robert M.; Fillion, Nicolas A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001 New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013). Reviewer: Robert Plato (Siegen) MSC: 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 PDF BibTeX XML Cite \textit{R. M. Corless} and \textit{N. Fillion}, A graduate introduction to numerical methods. From the viewpoint of backward error analysis. New York, NY: Springer (2013; Zbl 1295.65001) Full Text: DOI
Segal, Ben; Iwen, M. A. Improved sparse Fourier approximation results: Faster implementations and stronger guarantees. (English) Zbl 1276.65097 Numer. Algorithms 63, No. 2, 239-263 (2013). Reviewer: S. F. Lukomskii (Saratov) MSC: 65T40 65T50 65C05 42A16 PDF BibTeX XML Cite \textit{B. Segal} and \textit{M. A. Iwen}, Numer. Algorithms 63, No. 2, 239--263 (2013; Zbl 1276.65097) Full Text: DOI
Chui, Charles K.; Jiang, Qingtang Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. (English) Zbl 1279.65001 Mathematics Textbooks for Science and Engineering 2. Amsterdam: Atlantis Press (ISBN 978-94-6239-008-9/hbk; 978-94-6239-009-6/ebook). xxii, 551 p. (2013). Reviewer: Manfred Tasche (Rostock) MSC: 65-01 94-01 94A08 65T50 65T60 65F15 42C40 42A38 65T40 65D18 65N35 65M70 PDF BibTeX XML Cite \textit{C. K. Chui} and \textit{Q. Jiang}, Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. Amsterdam: Atlantis Press (2013; Zbl 1279.65001) Full Text: DOI
Cecka, Cris; Darve, Eric Fourier-based fast multipole method for the Helmholtz equation. (English) Zbl 1266.65220 SIAM J. Sci. Comput. 35, No. 1, A79-A103 (2013). MSC: 65Y20 65T40 31B10 42B10 65D05 PDF BibTeX XML Cite \textit{C. Cecka} and \textit{E. Darve}, SIAM J. Sci. Comput. 35, No. 1, A79--A103 (2013; Zbl 1266.65220) Full Text: DOI arXiv
Iwen, Mark A. Improved approximation guarantees for sublinear-time Fourier algorithms. (English) Zbl 1260.65115 Appl. Comput. Harmon. Anal. 34, No. 1, 57-82 (2013). Reviewer: S. F. Lukomskii (Saratov) MSC: 65T50 65T40 42A38 42A10 PDF BibTeX XML Cite \textit{M. A. Iwen}, Appl. Comput. Harmon. Anal. 34, No. 1, 57--82 (2013; Zbl 1260.65115) Full Text: DOI
Cavoretto, Roberto Partition of unity algorithm for two-dimensional interpolation using compactly supported radial basis functions. (English) Zbl 1329.65040 Commun. Appl. Ind. Math. 3, No. 2, Article ID 431, 13 p. (2012). MSC: 65D05 65D10 41A30 PDF BibTeX XML Cite \textit{R. Cavoretto}, Commun. Appl. Ind. Math. 3, No. 2, Article ID 431, 13 p. (2012; Zbl 1329.65040) Full Text: DOI
Kapusta, Joanna; Smarzewski, Ryszard Fast multidimensional Bernstein-Lagrange algorithms. (English) Zbl 1284.65022 Ann. Univ. Mariae Curie-Skłodowska, Sect. A1, Inform. 12, No. 2, 7-18 (2012). MSC: 65D05 65T50 65Y20 PDF BibTeX XML Cite \textit{J. Kapusta} and \textit{R. Smarzewski}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A1, Inform. 12, No. 2, 7--18 (2012; Zbl 1284.65022) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra Spherical interpolation using the partition of unity method: an efficient and flexible algorithm. (English) Zbl 1251.65008 Appl. Math. Lett. 25, No. 10, 1251-1256 (2012). MSC: 65D05 41A05 41A63 PDF BibTeX XML Cite \textit{R. Cavoretto} and \textit{A. De Rossi}, Appl. Math. Lett. 25, No. 10, 1251--1256 (2012; Zbl 1251.65008) Full Text: DOI
Bailey, J.; Iwen, M. A.; Spencer, C. V. On the design of deterministic matrices for fast recovery of Fourier compressible functions. (English) Zbl 1286.68495 SIAM J. Matrix Anal. Appl. 33, No. 1, 263-289 (2012). MSC: 68W25 65T50 65T40 15B99 94B25 PDF BibTeX XML Cite \textit{J. Bailey} et al., SIAM J. Matrix Anal. Appl. 33, No. 1, 263--289 (2012; Zbl 1286.68495) Full Text: DOI
Lócsi, Levente Rational FFT implementation in Matlab. (English) Zbl 1249.65299 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 36, 241-254 (2012). MSC: 65T50 30J10 94A12 42A16 65T40 PDF BibTeX XML Cite \textit{L. Lócsi}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 36, 241--254 (2012; Zbl 1249.65299)
Yang, Haizhao; Ying, Lexing A fast algorithm for multilinear operators. (English) Zbl 1247.65176 Appl. Comput. Harmon. Anal. 33, No. 1, 148-158 (2012). Reviewer: Yuri A. Farkov (Moscow) MSC: 65T40 65T50 65Y20 PDF BibTeX XML Cite \textit{H. Yang} and \textit{L. Ying}, Appl. Comput. Harmon. Anal. 33, No. 1, 148--158 (2012; Zbl 1247.65176) Full Text: DOI
Messner, Matthias; Schanz, Martin; Darve, Eric Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation. (English) Zbl 1239.65002 J. Comput. Phys. 231, No. 4, 1175-1196 (2012). MSC: 65B10 65D05 PDF BibTeX XML Cite \textit{M. Messner} et al., J. Comput. Phys. 231, No. 4, 1175--1196 (2012; Zbl 1239.65002) Full Text: DOI
Wang, Wu; Feng, Yangde; Chi, Xuebin Fast interpolation for the multilevel fast multipole method. (Chinese. English summary) Zbl 1240.65346 Math. Numer. Sin. 33, No. 2, 145-156 (2011). MSC: 65N38 65Y20 65T50 35J05 35Q61 PDF BibTeX XML Cite \textit{W. Wang} et al., Math. Numer. Sin. 33, No. 2, 145--156 (2011; Zbl 1240.65346)
Schwab, Christoph; Stevenson, Rob Fast evaluation of nonlinear functionals of tensor product wavelet expansions. (English) Zbl 1232.65027 Numer. Math. 119, No. 4, 765-786 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 65D15 65T60 65Y20 68R10 68Q25 65D05 65J15 47J25 PDF BibTeX XML Cite \textit{C. Schwab} and \textit{R. Stevenson}, Numer. Math. 119, No. 4, 765--786 (2011; Zbl 1232.65027) Full Text: DOI
Hermann, Martin Numerical mathematics. 3rd revised and expanded ed. (Numerische Mathematik.) (German) Zbl 1254.65001 München: Oldenbourg Verlag (ISBN 978-3-486-70820-2/hbk; 978-3-486-71970-3/ebook). xiv, 563 p. (2011). Reviewer: Rudolf Gorenflo (Berlin) MSC: 65-01 65Dxx 65Fxx 65Hxx 65G50 65Txx 65Y15 68W30 PDF BibTeX XML Cite \textit{M. Hermann}, Numerische Mathematik. 3rd revised and expanded ed. München: Oldenbourg Verlag (2011; Zbl 1254.65001)
Sugiura, Hiroshi; Hasegawa, Takemitsu A polynomial interpolation process at quasi-Chebyshev nodes with the FFT. (English) Zbl 1228.65017 Math. Comput. 80, No. 276, 2169-2184 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D05 41A10 41A05 65T50 65Y20 PDF BibTeX XML Cite \textit{H. Sugiura} and \textit{T. Hasegawa}, Math. Comput. 80, No. 276, 2169--2184 (2011; Zbl 1228.65017) Full Text: DOI
Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. (English) Zbl 1206.65028 Numer. Algorithms 56, No. 1, 45-60 (2011). MSC: 65D05 41A05 41A63 65D32 41A55 PDF BibTeX XML Cite \textit{M. Caliari} et al., Numer. Algorithms 56, No. 1, 45--60 (2011; Zbl 1206.65028) Full Text: DOI
Döhler, Michael; Kunis, Stefan; Potts, Daniel Nonequispaced hyperbolic cross fast Fourier transform. (English) Zbl 1207.65168 SIAM J. Numer. Anal. 47, No. 6, 4415-4428 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 65Y20 PDF BibTeX XML Cite \textit{M. Döhler} et al., SIAM J. Numer. Anal. 47, No. 6, 4415--4428 (2010; Zbl 1207.65168) Full Text: DOI
Moin, Parviz Fundamentals of engineering numerical analysis. 2nd ed. (English) Zbl 1228.65003 Cambridge: Cambridge University Press (ISBN 978-0-521-71123-4/pbk; 978-0-521-88432-7/hbk; 978-0-511-92221-3/ebook). xiv, 241 p. (2010). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 00A06 65Dxx 65Lxx 65Mxx 65Nxx 65T50 65Rxx PDF BibTeX XML Cite \textit{P. Moin}, Fundamentals of engineering numerical analysis. 2nd ed. Cambridge: Cambridge University Press (2010; Zbl 1228.65003) Full Text: DOI
Berriochoa, Elías; Cachafeiro, Alicia Algorithms for solving Hermite interpolation problems using the fast Fourier transform. (English) Zbl 1215.33009 J. Comput. Appl. Math. 235, No. 4, 882-894 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 65D05 33C52 65T50 65D15 65T40 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, J. Comput. Appl. Math. 235, No. 4, 882--894 (2010; Zbl 1215.33009) Full Text: DOI
Li, Shaojing; Livshitz, Boris; Lomakin, Vitaliy Fast evaluation of Helmholtz potential on graphics processing units (GPUs). (English) Zbl 1202.78020 J. Comput. Phys. 229, No. 22, 8463-8483 (2010). MSC: 78A55 65Y10 PDF BibTeX XML Cite \textit{S. Li} et al., J. Comput. Phys. 229, No. 22, 8463--8483 (2010; Zbl 1202.78020) Full Text: DOI
Liang, Fen; Lin, Fu-Rong A fast numerical solution method for two dimensional Fredholm integral equations of the second kind based on piecewise polynomial interpolation. (English) Zbl 1205.65337 Appl. Math. Comput. 216, No. 10, 3073-3088 (2010). Reviewer: Johannes Elschner (Berlin) MSC: 65R20 45B05 65Y20 PDF BibTeX XML Cite \textit{F. Liang} and \textit{F.-R. Lin}, Appl. Math. Comput. 216, No. 10, 3073--3088 (2010; Zbl 1205.65337) Full Text: DOI
Iwen, M. A. Combinatorial sublinear-time Fourier algorithms. (English) Zbl 1230.65145 Found. Comput. Math. 10, No. 3, 303-338 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 65T40 68Q25 94A12 PDF BibTeX XML Cite \textit{M. A. Iwen}, Found. Comput. Math. 10, No. 3, 303--338 (2010; Zbl 1230.65145) Full Text: DOI
Bostan, Alin; Salvy, Bruno; Schost, Éric Fast conversion algorithms for orthogonal polynomials. (English) Zbl 1182.65037 Linear Algebra Appl. 432, No. 1, 249-258 (2010). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65D20 65Y20 33C45 33F05 42C05 65T40 68Q25 68W40 PDF BibTeX XML Cite \textit{A. Bostan} et al., Linear Algebra Appl. 432, No. 1, 249--258 (2010; Zbl 1182.65037) Full Text: DOI
Wickerhauser, Mladen Victor Mathematics for multimedia. Corrected reprint of the 2004 original. (English) Zbl 1183.65001 Applied and Numerical Harmonic Analysis. Basel: Birkhäuser (ISBN 978-0-8176-4879-4/hbk; 978-0-8176-4880-0/ebook). xvii, 302 p. (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65-01 65D05 65T50 65T60 65Y20 PDF BibTeX XML Cite \textit{M. V. Wickerhauser}, Mathematics for multimedia. Corrected reprint of the 2004 original. Basel: Birkhäuser (2010; Zbl 1183.65001) Full Text: DOI
Kapusta, Joanna; Smarzewski, Ryszard Fast algorithms for multivariate interpolation and evaluation at special points. (English) Zbl 1169.65303 J. Complexity 25, No. 4, 332-338 (2009). MSC: 65D05 41A05 41A63 65Y20 PDF BibTeX XML Cite \textit{J. Kapusta} and \textit{R. Smarzewski}, J. Complexity 25, No. 4, 332--338 (2009; Zbl 1169.65303) Full Text: DOI
De Marchi, Stefano; Vianello, Marco; Xu, Yuan New cubature formulae and hyperinterpolation in three variables. (English) Zbl 1180.65031 BIT 49, No. 1, 55-73 (2009). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 65D05 41A55 41A63 PDF BibTeX XML Cite \textit{S. De Marchi} et al., BIT 49, No. 1, 55--73 (2009; Zbl 1180.65031) Full Text: DOI arXiv
Löhner, Rainald Applied computational fluid dynamics techniques. An introduction based on finite element methods. 2nd ed. (English) Zbl 1151.76002 Chichester: John Wiley & Sons (ISBN 978-0-470-51907-3/hbk; 978-0-470-98974-6/ebook). xviii, 519 p. (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 76-02 76M10 PDF BibTeX XML Cite \textit{R. Löhner}, Applied computational fluid dynamics techniques. An introduction based on finite element methods. 2nd ed. Chichester: John Wiley \& Sons (2008; Zbl 1151.76002) Full Text: DOI
Dahmen, Wolfgang; Reusken, Arnold Numerical analysis for engineers and natural scientists. 2nd revised ed. (Numerik für Ingenieure und Naturwissenschaftler.) (English) Zbl 1153.65002 Berlin: Springer (ISBN 978-3-540-76492-2/pbk). xviii, 633 p. (2008). Reviewer: Rudolf Gorenflo (Berlin) MSC: 65-01 65Dxx 65T40 65T50 65G50 65M32 35K05 65Fxx 65Hxx 65Lxx 65Nxx PDF BibTeX XML Cite \textit{W. Dahmen} and \textit{A. Reusken}, Numerik für Ingenieure und Naturwissenschaftler. 2nd revised ed. Berlin: Springer (2008; Zbl 1153.65002)
Martinsson, P. G.; Rokhlin, V. An accelerated kernel-independent fast multipole method in one dimension. (English) Zbl 1154.65318 SIAM J. Sci. Comput. 29, No. 3, 1160-1178 (2007). MSC: 65F30 65R20 PDF BibTeX XML Cite \textit{P. G. Martinsson} and \textit{V. Rokhlin}, SIAM J. Sci. Comput. 29, No. 3, 1160--1178 (2007; Zbl 1154.65318) Full Text: DOI
George, Ashvin; Bresler, Yoram Fast tomographic reconstruction via rotation-based hierarchical backprojection. (English) Zbl 1133.92017 SIAM J. Appl. Math. 68, No. 2, 574-597 (2007). MSC: 92C55 44A12 65R10 68U10 PDF BibTeX XML Cite \textit{A. George} and \textit{Y. Bresler}, SIAM J. Appl. Math. 68, No. 2, 574--597 (2007; Zbl 1133.92017) Full Text: DOI
Gorla, Elisa; Puttmann, Christoph; Shokrollahi, Jamshid Explicit formulas for efficient multiplication in \(\mathbb{F}_{3^{6m}}\). (English) Zbl 1154.11348 Adams, Carlisle (ed.) et al., Selected areas in cryptography. 14th international workshop, SAC 2007, Ottawa, Canada, August 16–17, 2007. Revised selected papers. Berlin: Springer (ISBN 978-3-540-77359-7/pbk). Lecture Notes in Computer Science 4876, 173-183 (2007). MSC: 11Y16 11T71 PDF BibTeX XML Cite \textit{E. Gorla} et al., Lect. Notes Comput. Sci. 4876, 173--183 (2007; Zbl 1154.11348) Full Text: DOI
Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. Numerical recipes. The art of scientific computing. 3rd ed. (English) Zbl 1132.65001 Cambridge: Cambridge University Press (ISBN 978-0-521-88068-8/hbk; 978-0-511-33239-5/ebook). xxi, 1235 p. (2007). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx 15-04 33-04 34-04 35-04 41-04 42-04 62-04 62H30 65C10 65C99 65D18 65E05 65K05 65T40 68-04 68U05 90-04 68W30 PDF BibTeX XML Cite \textit{W. H. Press} et al., Numerical recipes. The art of scientific computing. 3rd ed. Cambridge: Cambridge University Press (2007; Zbl 1132.65001)
Tausch, Johannes A fast method for solving the heat equation by layer potentials. (English) Zbl 1120.65329 J. Comput. Phys. 224, No. 2, 956-969 (2007). MSC: 65M70 35K05 65Y20 PDF BibTeX XML Cite \textit{J. Tausch}, J. Comput. Phys. 224, No. 2, 956--969 (2007; Zbl 1120.65329) Full Text: DOI
Kunis, Stefan Nonequispaced FFT. Generalisation and inversion. (English) Zbl 1111.65116 Berichte aus der Mathematik. Aachen: Shaker Verlag; Lübeck: Univ. Lübeck, Technisch-Naturwissenschaftliche Fakultät (Diss. 2006) (ISBN 978-3-8322-5878-8/pbk). 105 p. (2007). MSC: 65T50 65Y20 PDF BibTeX XML Cite \textit{S. Kunis}, Nonequispaced FFT. Generalisation and inversion. Aachen: Shaker Verlag; Lübeck: Univ. Lübeck, Technisch-Naturwissenschaftliche Fakultät (Diss. 2006) (2007; Zbl 1111.65116) Full Text: Link
Kunis, S.; Potts, D.; Steidl, G. Fast Gauss transforms with complex parameters using NFFTs. (English) Zbl 1132.65119 J. Numer. Math. 14, No. 4, 295-303 (2006). Reviewer: Gerlind Plonka (Duisburg) MSC: 65T50 65T40 PDF BibTeX XML Cite \textit{S. Kunis} et al., J. Numer. Math. 14, No. 4, 295--303 (2006; Zbl 1132.65119) Full Text: DOI
Romm, Ya. E.; Firsova, S. A. A parallel scheme of discrete and fast Fourier transforms based on a polynomial representation of the basis. (Russian. English summary) Zbl 1112.65133 Mat. Model. 18, No. 11, 3-13 (2006). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65T50 65T40 65Y05 94A12 PDF BibTeX XML Cite \textit{Ya. E. Romm} and \textit{S. A. Firsova}, Mat. Model. 18, No. 11, 3--13 (2006; Zbl 1112.65133) Full Text: MNR
Runovski, Konstantin; Rystsov, Igor; Schmeisser, Hans-Jürgen Computational aspects of a method of stochastic approximation. (English) Zbl 1102.41003 Z. Anal. Anwend. 25, No. 3, 367-383 (2006). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A05 42A10 PDF BibTeX XML Cite \textit{K. Runovski} et al., Z. Anal. Anwend. 25, No. 3, 367--383 (2006; Zbl 1102.41003) Full Text: DOI
Rokhlin, Vladimir; Tygert, Mark Fast algorithms for spherical harmonic expansions. (English) Zbl 1104.65134 SIAM J. Sci. Comput. 27, No. 6, 1903-1928 (2006). Reviewer: Ferenc Móricz (Szeged) MSC: 65T40 65D20 33C55 42C15 33F05 PDF BibTeX XML Cite \textit{V. Rokhlin} and \textit{M. Tygert}, SIAM J. Sci. Comput. 27, No. 6, 1903--1928 (2006; Zbl 1104.65134) Full Text: DOI
Hermann, Martin Numerical mathematics. 2nd revised and extended ed. (Numerische Mathematik.) (German) Zbl 1108.65001 München: Oldenbourg Verlag (ISBN 3-486-57935-5/pbk). xii, 522 p. (2006). Reviewer: Rudolf Gorenflo (Berlin) MSC: 65-01 65Dxx 65Fxx 65Hxx 65G50 65Txx 65Y15 68W30 PDF BibTeX XML Cite \textit{M. Hermann}, Numerische Mathematik. 2nd revised and extended ed. München: Oldenbourg Verlag (2006; Zbl 1108.65001) Full Text: DOI
Dahmen, Wolfgang; Reusken, Arnold Numerical analysis for engineers and natural scientists. (Numerik für Ingenieure und Naturwissenschaftler.) (German) Zbl 1102.65002 Springer-Lehrbuch. Berlin: Springer (ISBN 3-540-25544-3/pbk). xvi, 625 p. (2006). Reviewer: Rudolf Gorenflo (Berlin) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Nxx 65T40 65T50 65G50 65M32 35K05 PDF BibTeX XML Cite \textit{W. Dahmen} and \textit{A. Reusken}, Numerik für Ingenieure und Naturwissenschaftler. Berlin: Springer (2006; Zbl 1102.65002) Full Text: DOI
Huckle, Thomas; Schneider, Stefan Numerical methods. An introduction for computer scientists, engineers, scientists, and mathematicians. 2nd ed. (Numerische Methoden. Eine Einführung für Informatiker, Naturwissenschaftler, Ingenieure und Mathematiker.) (German) Zbl 1102.65003 eXamen.press. Berlin: Springer (ISBN 3-540-30316-2/pbk). xiii, 385 p. (2006). Reviewer: Immo O. Kerner (Nienhagen) MSC: 65-02 68-01 65Fxx 65Dxx 65T50 65Lxx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{T. Huckle} and \textit{S. Schneider}, Numerische Methoden. Eine Einführung für Informatiker, Naturwissenschaftler, Ingenieure und Mathematiker. 2nd ed. Berlin: Springer (2006; Zbl 1102.65003) Full Text: DOI
Zou, Jing; Gilbert, Anna; Strauss, Martin; Daubechies, Ingrid Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis. (English) Zbl 1085.65128 J. Comput. Phys. 211, No. 2, 572-595 (2006). Reviewer: Qiao Wang (Nanjing) MSC: 65T50 65T40 68W20 42A10 PDF BibTeX XML Cite \textit{J. Zou} et al., J. Comput. Phys. 211, No. 2, 572--595 (2006; Zbl 1085.65128) Full Text: DOI
Codevico, G.; Heinig, G.; Van Barel, M. A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. (English) Zbl 1164.65334 Numer. Linear Algebra Appl. 12, No. 8, 699-713 (2005). Reviewer: Jan Chleboun (Praha) MSC: 65F05 65Y20 65T50 PDF BibTeX XML Cite \textit{G. Codevico} et al., Numer. Linear Algebra Appl. 12, No. 8, 699--713 (2005; Zbl 1164.65334) Full Text: DOI
Roussos, George; Baxter, Brad J. C. Rapid evaluation of radial basis functions. (English) Zbl 1069.65008 J. Comput. Appl. Math. 180, No. 1, 51-70 (2005). MSC: 65D05 65D07 65Y20 PDF BibTeX XML Cite \textit{G. Roussos} and \textit{B. J. C. Baxter}, J. Comput. Appl. Math. 180, No. 1, 51--70 (2005; Zbl 1069.65008) Full Text: DOI
Bollhöfer, Matthias; Mehrmann, Volker Numerical mathematics. A project oriented introduction for engineers, mathematicians and scientist. (Numerische Mathematik. Eine projektorientierte Einführung für Ingenieure, Mathematiker und Naturwissenschaftler.) (German) Zbl 1066.65001 Vieweg Studium: Grundkurs Mathematik. Wiesbaden: Vieweg (ISBN 3-528-03220-0/pbk). xii, 286 p. (2004). Reviewer: W. C. Rheinboldt (Pittsburgh) MSC: 65-01 00A06 65Dxx 65Fxx 65Hxx 65Lxx 65T50 65Y15 PDF BibTeX XML Cite \textit{M. Bollhöfer} and \textit{V. Mehrmann}, Numerische Mathematik. Eine projektorientierte Einführung für Ingenieure, Mathematiker und Naturwissenschaftler. Wiesbaden: Vieweg (2004; Zbl 1066.65001)
Plato, Robert Workbook for numerical mathematics. Problems, solutions and applications. (Übungsbuch zur numerischen Mathematik. Aufgaben, Lösungen und Anwendungen.) (German) Zbl 1067.65002 Wiesbaden: Vieweg (ISBN 3-528-03209-X/pbk). viii, 223 p. (2004). Reviewer: Michael Jung (Dresden) MSC: 65-01 65Dxx 65T50 65Fxx 65Hxx 65Lxx 41-01 PDF BibTeX XML Cite \textit{R. Plato}, Übungsbuch zur numerischen Mathematik. Aufgaben, Lösungen und Anwendungen. Wiesbaden: Vieweg (2004; Zbl 1067.65002)
Plato, Robert Numerical mathematical compact. Fundamentals for studies and practice. 2nd, revised ed. (Numerische Mathematik kompakt. Grundlagenwissen für Studium und Praxis.) (German) Zbl 1067.65001 Wiesbaden: Vieweg (ISBN 3-528-13153-5/pbk). xvi, 414 p. (2004). Reviewer: Michael Jung (Dresden) MSC: 65-01 65Dxx 65T50 65Fxx 65Hxx 65Lxx 41-01 PDF BibTeX XML Cite \textit{R. Plato}, Numerische Mathematik kompakt. Grundlagenwissen für Studium und Praxis. 2nd, revised ed. Wiesbaden: Vieweg (2004; Zbl 1067.65001)
Potts, Daniel; Steidl, Gabriele; Nieslony, Arthur Fast convolution with radial kernels at nonequispaced knots. (English) Zbl 1056.65146 Numer. Math. 98, No. 2, 329-351 (2004). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 65T40 65F30 PDF BibTeX XML Cite \textit{D. Potts} et al., Numer. Math. 98, No. 2, 329--351 (2004; Zbl 1056.65146) Full Text: DOI
Suda, Reiji; Kuriyama, Shingo Another preprocessing algorithm for generalized one-dimensional fast multipole method. (English) Zbl 1055.65135 J. Comput. Phys. 195, No. 2, 790-803 (2004). MSC: 65N35 35Q72 65C35 82C80 65Y20 PDF BibTeX XML Cite \textit{R. Suda} and \textit{S. Kuriyama}, J. Comput. Phys. 195, No. 2, 790--803 (2004; Zbl 1055.65135) Full Text: DOI
Potts, Daniel Approximation of scattered data by trigonometric polynomials on the torus and the 2-sphere. (English) Zbl 1047.65006 Adv. Comput. Math. 21, No. 1-2, 21-36 (2004). MSC: 65D10 65T50 65F10 65F20 42A10 65T40 PDF BibTeX XML Cite \textit{D. Potts}, Adv. Comput. Math. 21, No. 1--2, 21--36 (2004; Zbl 1047.65006) Full Text: DOI
Fourmont, Karsten Non-equispaced fast Fourier transforms with applications to tomography. (English) Zbl 1073.65151 J. Fourier Anal. Appl. 9, No. 5, 431-450 (2003). Reviewer: Qiao Wang (Nanjing) MSC: 65T50 65Y20 65R10 44A12 92C55 PDF BibTeX XML Cite \textit{K. Fourmont}, J. Fourier Anal. Appl. 9, No. 5, 431--450 (2003; Zbl 1073.65151) Full Text: DOI
Potts, Daniel; Steidl, Gabriele Fast summation at nonequispaced knots by NFFT. (English) Zbl 1040.65110 SIAM J. Sci. Comput. 24, No. 6, 2013-2037 (2003). Reviewer: Ferenc Móricz (Szeged) MSC: 65T50 65F30 65B10 65T40 PDF BibTeX XML Cite \textit{D. Potts} and \textit{G. Steidl}, SIAM J. Sci. Comput. 24, No. 6, 2013--2037 (2003; Zbl 1040.65110) Full Text: DOI
Healy, D. M. jun.; Rockmore, D. N.; Kostelec, P. J.; Moore, S. FFTs for the 2-sphere-improvements and variations. (English) Zbl 1037.65136 J. Fourier Anal. Appl. 9, No. 4, 341-385 (2003). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 65T40 33C55 42C10 PDF BibTeX XML Cite \textit{D. M. Healy jun.} et al., J. Fourier Anal. Appl. 9, No. 4, 341--385 (2003; Zbl 1037.65136) Full Text: DOI
Goldberg, Maxim J.; Hrycak, Tomasz; Kim, Seonja A fast numerical method for evaluation of Calderón commutators. (English) Zbl 1029.65149 J. Comput. Appl. Math. 158, No. 2, 473-484 (2003). MSC: 65T40 65N38 42B20 45E05 35J05 PDF BibTeX XML Cite \textit{M. J. Goldberg} et al., J. Comput. Appl. Math. 158, No. 2, 473--484 (2003; Zbl 1029.65149) Full Text: DOI
Olshevsky, Vadim Pivoting for structured matrices and rational tangential interpolation. (English) Zbl 1039.65027 Olshevsky, Vadim (ed.), Fast algorithms for structured matrices: Theory and applications. AMS-IMS-SIAM joint summer research conference on fast algorithms in mathematics, computer science and engineering, August 5–9, 2001, South Hadley, Massachusetts. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3177-1/pbk; 0-89871-543-1/pbk). Contemp. Math. 323, 1-73 (2003). MSC: 65F05 65D05 65Y20 PDF BibTeX XML Cite \textit{V. Olshevsky}, Contemp. Math. 323, 1--73 (2003; Zbl 1039.65027)
Bebendorf, M.; Rjasanow, S. Adaptive low-rank approximation of collocation matrices. (English) Zbl 1068.41052 Computing 70, No. 1, 1-24 (2003). Reviewer: Josef Kofroň (Praha) MSC: 41A63 41A80 65D05 65D15 65F05 65F30 PDF BibTeX XML Cite \textit{M. Bebendorf} and \textit{S. Rjasanow}, Computing 70, No. 1, 1--24 (2003; Zbl 1068.41052) Full Text: DOI
Dahlquist, Germund; Björck, Åke Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. (English) Zbl 1029.65002 Mineola, NY: Dover Publications. xviii, 573 p. (2003). MSC: 65-01 65G50 65B05 65B10 65Dxx 65Fxx 65Hxx 65Lxx 65T40 65Kxx 65Cxx 65S05 PDF BibTeX XML Cite \textit{G. Dahlquist} and \textit{Å. Björck}, Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. Mineola, NY: Dover Publications (2003; Zbl 1029.65002)
Plato, Robert Concise numerical mathematics. Translated from the German by Richard Le Borne and Sabine Le Borne. (English) Zbl 1022.65002 Graduate Studies in Mathematics. 57. Providence, RI: American Mathematical Society (AMS). xiv, 453 p. (2003). MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65T50 41-01 PDF BibTeX XML Cite \textit{R. Plato}, Concise numerical mathematics. Translated from the German by Richard Le Borne and Sabine Le Borne. Providence, RI: American Mathematical Society (AMS) (2003; Zbl 1022.65002)
Yang, ZhengHong Generalized confluent Cauchy-Vandermonde matrices: Displacement structures, inversion formulas and tangential interpolations. (English) Zbl 1021.65013 J. Comput. Appl. Math. 154, No. 2, 355-371 (2003). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F05 15A09 15B57 65Y20 PDF BibTeX XML Cite \textit{Z. Yang}, J. Comput. Appl. Math. 154, No. 2, 355--371 (2003; Zbl 1021.65013) Full Text: DOI