Gashkov, Sergeĭ Borisovich; Sergeev, Igor’ Sergeevich Multiplication. (Russian. English summary) Zbl 1455.68294 Chebyshevskiĭ Sb. 21, No. 1(73), 101-134 (2020). MSC: 68W40 11Y16 65T50 65Y04 PDF BibTeX XML Cite \textit{S. B. Gashkov} and \textit{I. S. Sergeev}, Chebyshevskiĭ Sb. 21, No. 1(73), 101--134 (2020; Zbl 1455.68294) Full Text: DOI MNR
Popovici, Doru Thom; Schatz, Martin D.; Franchetti, Franz; Low, Tze Meng A flexible framework for multidimensional DFTs. (English) Zbl 1451.65243 SIAM J. Sci. Comput. 42, No. 5, C245-C264 (2020). MSC: 65T50 65Y05 65Y10 PDF BibTeX XML Cite \textit{D. T. Popovici} et al., SIAM J. Sci. Comput. 42, No. 5, C245--C264 (2020; Zbl 1451.65243) Full Text: DOI
Bisseling, Rob H. Parallel scientific computation. A structured approach using BSP. 2nd edition. (English) Zbl 07269864 Oxford: Oxford University Press (ISBN 978-0-19-878834-8/hbk; 978-0-19-878835-5/pbk). xv, 383 p. (2020). MSC: 65-01 65Y05 65F50 65T50 65F05 68W10 PDF BibTeX XML Cite \textit{R. H. Bisseling}, Parallel scientific computation. A structured approach using BSP. 2nd edition. Oxford: Oxford University Press (2020; Zbl 07269864) Full Text: DOI
Perera, Sirani M.; Liu, Jianhua Complexity reduction, self/completely recursive, radix-2 DCT I/IV algorithms. (English) Zbl 1440.65051 J. Comput. Appl. Math. 379, Article ID 112936, 15 p. (2020). MSC: 65F50 15A23 65T50 65Y04 65Y05 65Y20 94A12 PDF BibTeX XML Cite \textit{S. M. Perera} and \textit{J. Liu}, J. Comput. Appl. Math. 379, Article ID 112936, 15 p. (2020; Zbl 1440.65051) Full Text: DOI
Schnass, Karin; Teixeira, Flavio Compressed dictionary learning. (English) Zbl 1433.68378 J. Fourier Anal. Appl. 26, No. 2, Paper No. 33, 37 p. (2020). MSC: 68T05 15A23 60B20 65T50 65Y20 68Q25 94A12 PDF BibTeX XML Cite \textit{K. Schnass} and \textit{F. Teixeira}, J. Fourier Anal. Appl. 26, No. 2, Paper No. 33, 37 p. (2020; Zbl 1433.68378) Full Text: DOI
Ailon, Nir Paraunitary matrices, entropy, algebraic condition number and Fourier computation. (English) Zbl 1435.68109 Theor. Comput. Sci. 814, 234-248 (2020). MSC: 68Q17 15B10 65T50 65Y20 PDF BibTeX XML Cite \textit{N. Ailon}, Theor. Comput. Sci. 814, 234--248 (2020; Zbl 1435.68109) Full Text: DOI
Nasdala, Roberts; Potts, Daniel Transformed rank-1 lattices for high-dimensional approximation. (English) Zbl 1431.65014 ETNA, Electron. Trans. Numer. Anal. 53, 239-282 (2020). MSC: 65D15 65T50 PDF BibTeX XML Cite \textit{R. Nasdala} and \textit{D. Potts}, ETNA, Electron. Trans. Numer. Anal. 53, 239--282 (2020; Zbl 1431.65014) Full Text: DOI Link
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan A quadratic spline collocation method for the Dirichlet biharmonic problem. (English) Zbl 1434.65290 Numer. Algorithms 83, No. 1, 165-199 (2020). MSC: 65N35 65D07 31A30 65T50 65F08 65F10 65N12 35J40 35J20 PDF BibTeX XML Cite \textit{B. Bialecki} et al., Numer. Algorithms 83, No. 1, 165--199 (2020; Zbl 1434.65290) Full Text: DOI
Hsu, Chloe Ching-Yun; Umans, Chris A new algorithm for fast generalized DFTs. (English) Zbl 1454.68194 ACM Trans. Algorithms 16, No. 1, Article No. 4, 20 p. (2020). MSC: 68W30 20-08 20D06 65T50 68W40 PDF BibTeX XML Cite \textit{C. C. Y. Hsu} and \textit{C. Umans}, ACM Trans. Algorithms 16, No. 1, Article No. 4, 20 p. (2020; Zbl 1454.68194) Full Text: DOI arXiv
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
Bittens, Sina Vanessa Sparse fast trigonometric transforms. (English) Zbl 1437.65001 Göttingen: Univ. Göttingen (Diss.). xv, 284 p. (2019). MSC: 65-02 65T50 PDF BibTeX XML Cite \textit{S. V. Bittens}, Sparse fast trigonometric transforms. Göttingen: Univ. Göttingen (Diss.) (2019; Zbl 1437.65001) Full Text: Link
Bittens, Sina; Plonka, Gerlind Real sparse fast DCT for vectors with short support. (English) Zbl 07125930 Linear Algebra Appl. 582, 359-390 (2019). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 65Y20 94A12 PDF BibTeX XML Cite \textit{S. Bittens} and \textit{G. Plonka}, Linear Algebra Appl. 582, 359--390 (2019; Zbl 07125930) Full Text: DOI arXiv
Kämmerer, Lutz Constructing spatial discretizations for sparse multivariate trigonometric polynomials that allow for a fast discrete Fourier transform. (English) Zbl 1423.60012 Appl. Comput. Harmon. Anal. 47, No. 3, 702-729 (2019). MSC: 60B15 65T50 68Q25 68W40 94A20 PDF BibTeX XML Cite \textit{L. Kämmerer}, Appl. Comput. Harmon. Anal. 47, No. 3, 702--729 (2019; Zbl 1423.60012) Full Text: DOI arXiv
Bittens, Sina; Plonka, Gerlind Sparse fast DCT for vectors with one-block support. (English) Zbl 07107362 Numer. Algorithms 82, No. 2, 663-697 (2019). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 65Y20 94A12 PDF BibTeX XML Cite \textit{S. Bittens} and \textit{G. Plonka}, Numer. Algorithms 82, No. 2, 663--697 (2019; Zbl 07107362) Full Text: DOI arXiv
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
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
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
Deuflhard, Peter; Hohmann, Andreas Numerical mathematics. 1: An algorithmically oriented introduction. 5th revised and expanded edition. (Numerische Mathematik 1. Eine algorithmisch orientierte Einführung.) (English) Zbl 1404.65001 de Gruyter Studium. Berlin: de Gruyter (ISBN 978-3-11-061421-3/pbk; 978-3-11-061432-9/ebook). xii, 348 p. (2019). MSC: 65-01 65H10 65Q20 65Fxx 65Dxx 65C60 62J05 65G50 65T50 65Bxx 65Cxx PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{A. Hohmann}, Numerische Mathematik 1. Eine algorithmisch orientierte Einführung. Berlin: de Gruyter (2019; Zbl 1404.65001) Full Text: DOI
Perera, Sirani M. Signal flow graph approach to efficient and forward stable DST algorithms. (English) Zbl 1416.65569 Linear Algebra Appl. 542, 360-390 (2018). MSC: 65T50 94A11 94A12 PDF BibTeX XML Cite \textit{S. M. Perera}, Linear Algebra Appl. 542, 360--390 (2018; Zbl 1416.65569) Full Text: DOI
Csomós, Petra; Mena, Hermann Fourier-splitting method for solving hyperbolic LQR problems. (English) Zbl 1406.35449 Numer. Algebra Control Optim. 8, No. 1, 17-46 (2018). MSC: 35Q93 49J20 65M22 93B52 34H05 76B15 93C20 93C15 65T50 65F30 PDF BibTeX XML Cite \textit{P. Csomós} and \textit{H. Mena}, Numer. Algebra Control Optim. 8, No. 1, 17--46 (2018; Zbl 1406.35449) Full Text: DOI
Malahe, Michael An efficient spectral crystal plasticity solver for GPU architectures. (English) Zbl 06989141 Comput. Mech. 62, No. 6, 1311-1326 (2018). MSC: 74C10 65T50 65Y05 65Y10 PDF BibTeX XML Cite \textit{M. Malahe}, Comput. Mech. 62, No. 6, 1311--1326 (2018; Zbl 06989141) Full Text: DOI
Hnativ, L. O. Simple high-order integer cosine transform for high-resolution video coding. (English. Russian original) Zbl 1401.65157 Cybern. Syst. Anal. 54, No. 3, 490-501 (2018); translation from Kibern. Sist. Anal. 2018, No. 3, 166-177 (2018). MSC: 65T50 65Y20 94A08 PDF BibTeX XML Cite \textit{L. O. Hnativ}, Cybern. Syst. Anal. 54, No. 3, 490--501 (2018; Zbl 1401.65157); translation from Kibern. Sist. Anal. 2018, No. 3, 166--177 (2018) Full Text: DOI
Dai, Wangchen; Chen, Donglong; Cheung, Ray C. C.; Koç, Çetin Kaya FFT-based McLaughlin’s Montgomery exponentiation without conditional selections. (English) Zbl 1433.68037 IEEE Trans. Comput. 67, No. 9, 1301-1314 (2018). MSC: 68M07 65T50 65Y04 94A60 PDF BibTeX XML Cite \textit{W. Dai} et al., IEEE Trans. Comput. 67, No. 9, 1301--1314 (2018; Zbl 1433.68037) Full Text: DOI
Diéguez, Adrián Pérez; Amor, Margarita; Lobeiras, Jacobo; Doallo, Ramón Solving large problem sizes of index-digit algorithms on GPU: FFT and tridiagonal system solvers. (English) Zbl 1390.65166 IEEE Trans. Comput. 67, No. 1, 86-101 (2018). MSC: 65T50 65F30 PDF BibTeX XML Cite \textit{A. P. Diéguez} et al., IEEE Trans. Comput. 67, No. 1, 86--101 (2018; Zbl 1390.65166) Full Text: DOI
Pawar, Sameer; Ramchandran, Kannan R-FFAST: a robust sub-linear time algorithm for computing a sparse DFT. (English) Zbl 06895612 IEEE Trans. Inf. Theory 64, No. 1, 451-466 (2018). MSC: 65T50 68Q25 68R10 94A11 PDF BibTeX XML Cite \textit{S. Pawar} and \textit{K. Ramchandran}, IEEE Trans. Inf. Theory 64, No. 1, 451--466 (2018; Zbl 06895612) Full Text: DOI
Pawar, Sameer; Ramchandran, Kannan FFAST: an algorithm for computing an exactly \(k\)-sparse DFT in \(O(k\log k)\) time. (English) Zbl 06895611 IEEE Trans. Inf. Theory 64, No. 1, 429-450 (2018). MSC: 65T50 68Q25 68R10 94A11 PDF BibTeX XML Cite \textit{S. Pawar} and \textit{K. Ramchandran}, IEEE Trans. Inf. Theory 64, No. 1, 429--450 (2018; Zbl 06895611) Full Text: DOI
Augusta, Petr; Augustová, Petra A fast numerical test of multivariate polynomial positiveness with applications. (English) Zbl 06890421 Kybernetika 54, No. 2, 289-303 (2018). Reviewer: Krzysztof Gałkowski (Zielona Gora) MSC: 65T50 12D10 26C05 65Y20 PDF BibTeX XML Cite \textit{P. Augusta} and \textit{P. Augustová}, Kybernetika 54, No. 2, 289--303 (2018; Zbl 06890421) Full Text: DOI
Perera, Sirani M.; Liu, Jianhua Lowest complexity self-recursive radix-2 DCT II/III algorithms. (English) Zbl 1391.65121 SIAM J. Matrix Anal. Appl. 39, No. 2, 664-682 (2018). MSC: 65F50 65T50 65Y04 65Y20 15A23 15B10 94A08 94A12 PDF BibTeX XML Cite \textit{S. M. Perera} and \textit{J. Liu}, SIAM J. Matrix Anal. Appl. 39, No. 2, 664--682 (2018; Zbl 1391.65121) 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
Hsu, Chloe Ching-Yun; Umans, Chris A fast generalized DFT for finite groups of Lie type. (English) Zbl 1434.65322 Czumaj, Artur (ed.), Proceedings of the 29th annual ACM-SIAM symposium on discrete algorithms, SODA 2018, New Orleans, LA, USA, January 7–10, 2018. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1047-1059 (2018). MSC: 65T50 43A15 68W40 PDF BibTeX XML Cite \textit{C. C. Y. Hsu} and \textit{C. Umans}, in: Proceedings of the 29th annual ACM-SIAM symposium on discrete algorithms, SODA 2018, New Orleans, LA, USA, January 7--10, 2018. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1047--1059 (2018; Zbl 1434.65322) Full Text: Link
Bertin, N.; Capolungo, L. A FFT-based formulation for discrete dislocation dynamics in heterogeneous media. (English) Zbl 1380.74116 J. Comput. Phys. 355, 366-384 (2018). MSC: 74S30 74E05 65Y05 65Y10 PDF BibTeX XML Cite \textit{N. Bertin} and \textit{L. Capolungo}, J. Comput. Phys. 355, 366--384 (2018; Zbl 1380.74116) Full Text: DOI
Yang, Sheng-Chun; Qian, Hu-Jun; Lu, Zhong-Yuan A new theoretical derivation of NFFT and its implementation on GPU. (English) Zbl 1432.65206 Appl. Comput. Harmon. Anal. 44, No. 2, 273-293 (2018). MSC: 65T50 65Y10 PDF BibTeX XML Cite \textit{S.-C. Yang} et al., Appl. Comput. Harmon. Anal. 44, No. 2, 273--293 (2018; Zbl 1432.65206) Full Text: DOI
Chen, Liangyu; Covanov, Svyatoslav; Mohajerani, Davood; Moreno Maza, Marc Big prime field FFT on the GPU. (English) Zbl 07245216 Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-5064-8). 85-92 (2017). MSC: 11Y16 68W30 PDF BibTeX XML Cite \textit{L. Chen} et al., in: Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25--28, 2017. New York, NY: Association for Computing Machinery (ACM). 85--92 (2017; Zbl 07245216) Full Text: DOI
Eller, Martin; Fornasier, Massimo Rotation invariance in exemplar-based image inpainting. (English) Zbl 1403.68323 Bergounioux, Maïtine (ed.) et al., Variational methods. In imaging and geometric control. Berlin: De Gruyter (ISBN 978-3-11-043923-6/hbk; 978-3-11-043039-4/ebook; 978-3-11-043040-0/set). Radon Series on Computational and Applied Mathematics 18, 108-183 (2017). MSC: 68U10 49J40 65K10 65T50 94A08 PDF BibTeX XML Cite \textit{M. Eller} and \textit{M. Fornasier}, Radon Ser. Comput. Appl. Math. 18, 108--183 (2017; Zbl 1403.68323)
Cheraghchi, Mahdi; Indyk, Piotr Nearly optimal deterministic algorithm for sparse Walsh-Hadamard transform. (English) Zbl 1446.94021 ACM Trans. Algorithms 13, No. 3, Article No. 34, 36 p. (2017). MSC: 94A12 65T50 65Y20 PDF BibTeX XML Cite \textit{M. Cheraghchi} and \textit{P. Indyk}, ACM Trans. Algorithms 13, No. 3, Article No. 34, 36 p. (2017; Zbl 1446.94021) Full Text: DOI
Wang, Haiyong; Huybrechs, Daan Fast and accurate computation of Chebyshev coefficients in the complex plane. (English) Zbl 1433.41004 IMA J. Numer. Anal. 37, No. 3, 1150-1174 (2017). MSC: 41A10 65T50 65D15 PDF BibTeX XML Cite \textit{H. Wang} and \textit{D. Huybrechs}, IMA J. Numer. Anal. 37, No. 3, 1150--1174 (2017; Zbl 1433.41004) 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
Wang, Dong; Li, Haohan; Wei, Xiaoyu; Wang, Xiao-Ping An efficient iterative thresholding method for image segmentation. (English) Zbl 1380.65048 J. Comput. Phys. 350, 657-667 (2017). MSC: 65D18 65K10 65Y20 PDF BibTeX XML Cite \textit{D. Wang} et al., J. Comput. Phys. 350, 657--667 (2017; Zbl 1380.65048) Full Text: DOI
Xu, Kuan; Austin, Anthony P.; Wei, Ke A fast algorithm for the convolution of functions with compact support using Fourier extensions. (English) Zbl 1379.65096 SIAM J. Sci. Comput. 39, No. 6, A3089-A3106 (2017). MSC: 65R10 45D05 45B05 45E10 65T50 65Y20 44A35 PDF BibTeX XML Cite \textit{K. Xu} et al., SIAM J. Sci. Comput. 39, No. 6, A3089--A3106 (2017; Zbl 1379.65096) Full Text: DOI
Figueras, J.-Ll.; Haro, A.; Luque, A. Rigorous computer-assisted application of KAM theory: a modern approach. (English) Zbl 1383.37047 Found. Comput. Math. 17, No. 5, 1123-1193 (2017). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37J40 37J10 65G20 65G40 65T50 PDF BibTeX XML Cite \textit{J. Ll. Figueras} et al., Found. Comput. Math. 17, No. 5, 1123--1193 (2017; Zbl 1383.37047) Full Text: DOI
Coelho, Diego F. G.; Cintra, Renato J.; Rajapaksha, Nilanka; Mendis, Gihan J.; Madanayake, Arjuna; Dimitrov, Vassil S. DFT computation using Gauss-Eisenstein basis: FFT algorithms and VLSI architectures. (English) Zbl 1374.94766 IEEE Trans. Comput. 66, No. 8, 1442-1448 (2017). MSC: 94A55 65T50 68W35 PDF BibTeX XML Cite \textit{D. F. G. Coelho} et al., IEEE Trans. Comput. 66, No. 8, 1442--1448 (2017; Zbl 1374.94766) Full Text: DOI
Zhou, S. S.; Loke, T.; Izaac, J. A.; Wang, J. B. Quantum Fourier transform in computational basis. (English) Zbl 1373.81161 Quantum Inf. Process. 16, No. 3, Paper No. 82, 19 p. (2017). MSC: 81P68 68Q12 65T50 PDF BibTeX XML Cite \textit{S. S. Zhou} et al., Quantum Inf. Process. 16, No. 3, Paper No. 82, 19 p. (2017; Zbl 1373.81161) Full Text: DOI
Daripa, Prabir; Ghosh, Aditi The FFTRR-based fast direct algorithms for complex inhomogeneous biharmonic problems with applications to incompressible flows. (English) Zbl 1377.65035 Numer. Algorithms 75, No. 4, 937-971 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 65E05 31A30 76D07 PDF BibTeX XML Cite \textit{P. Daripa} and \textit{A. Ghosh}, Numer. Algorithms 75, No. 4, 937--971 (2017; Zbl 1377.65035) 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
Cevher, Volkan; Kapralov, Michael; Scarlett, Jonathan; Zandieh, Amir An adaptive sublinear-time block sparse Fourier transform. (English) Zbl 1372.65360 Hatami, Hamed (ed.) et al., Proceedings of the 49th annual ACM SIGACT symposium on theory of computing, STOC ’17, Montreal, QC, Canada, June 19–23, 2017. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4528-6). 702-715 (2017). MSC: 65T50 65Y20 PDF BibTeX XML Cite \textit{V. Cevher} et al., in: Proceedings of the 49th annual ACM SIGACT symposium on theory of computing, STOC '17, Montreal, QC, Canada, June 19--23, 2017. New York, NY: Association for Computing Machinery (ACM). 702--715 (2017; Zbl 1372.65360) Full Text: DOI
Wilber, Heather; Townsend, Alex; Wright, Grady B. Computing with functions in spherical and polar geometries. II: The disk. (English) Zbl 1368.65026 SIAM J. Sci. Comput. 39, No. 3, C238-C262 (2017). MSC: 65D15 65T50 65F05 65D30 65D25 PDF BibTeX XML Cite \textit{H. Wilber} et al., SIAM J. Sci. Comput. 39, No. 3, C238--C262 (2017; Zbl 1368.65026) Full Text: DOI
Gao, You; Ku, Min; Qian, Tao; Wang, Jianzhong FFT formulations of adaptive Fourier decomposition. (English) Zbl 1369.65184 J. Comput. Appl. Math. 324, 204-215 (2017). MSC: 65T50 65Y20 PDF BibTeX XML Cite \textit{Y. Gao} et al., J. Comput. Appl. Math. 324, 204--215 (2017; Zbl 1369.65184) 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
Baba, Kensuke An acceleration of FFT-based algorithms for the match-count problem. (English) Zbl 1409.68349 Inf. Process. Lett. 125, 1-4 (2017). MSC: 68W32 65T50 68W40 PDF BibTeX XML Cite \textit{K. Baba}, Inf. Process. Lett. 125, 1--4 (2017; Zbl 1409.68349) Full Text: DOI
Li, Yingzhou; Yang, Haizhao Interpolative butterfly factorization. (English) Zbl 1365.65292 SIAM J. Sci. Comput. 39, No. 2, A503-A531 (2017). MSC: 65T50 65F30 65R10 44A55 65F05 PDF BibTeX XML Cite \textit{Y. Li} and \textit{H. Yang}, SIAM J. Sci. Comput. 39, No. 2, A503--A531 (2017; Zbl 1365.65292) Full Text: DOI arXiv
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
af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin Fast Ewald summation for free-space Stokes potentials. (English) Zbl 1360.65295 Res. Math. Sci. 4, Paper No. 1, 32 p. (2017). MSC: 65N38 35Q30 65T50 65Y20 PDF BibTeX XML Cite \textit{L. af Klinteberg} et al., Res. Math. Sci. 4, Paper No. 1, 32 p. (2017; Zbl 1360.65295) Full Text: DOI
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
Golovnev, Alexander; Kulikov, Alexander S.; Mihajlin, Ivan Families with infants: speeding up algorithms for NP-hard problems using FFT. (English) Zbl 1445.68163 ACM Trans. Algorithms 12, No. 3, Article No. 35, 17 p. (2016). MSC: 68R10 05C15 05C70 65T50 68Q17 68W40 90C27 PDF BibTeX XML Cite \textit{A. Golovnev} et al., ACM Trans. Algorithms 12, No. 3, Article No. 35, 17 p. (2016; Zbl 1445.68163) Full Text: DOI
Ghosh, Aditi; Daripa, Prabir The FFTRR-based fast decomposition methods for solving complex biharmonic problems and incompressible flows. (English) Zbl 1433.65364 IMA J. Numer. Anal. 36, No. 2, 824-850 (2016). MSC: 65T50 65E05 65N80 76M99 76D05 PDF BibTeX XML Cite \textit{A. Ghosh} and \textit{P. Daripa}, IMA J. Numer. Anal. 36, No. 2, 824--850 (2016; Zbl 1433.65364) Full Text: DOI
Van Der Hoeven, Joris; Lecerf, Grégoire; Quintin, Guillaume Modular SIMD arithmetic in Mathemagix. (English) Zbl 1391.65003 ACM Trans. Math. Softw. 43, No. 1, Article No. 5, 37 p. (2016). MSC: 65-04 65Y04 68W30 65T60 PDF BibTeX XML Cite \textit{J. Van Der Hoeven} et al., ACM Trans. Math. Softw. 43, No. 1, Article No. 5, 37 p. (2016; Zbl 1391.65003) Full Text: DOI
Cheraghchi, Mahdi; Indyk, Piotr Nearly optimal deterministic algorithm for sparse Walsh-Hadamard transform. (English) Zbl 1412.94028 Krauthgamer, Robert (ed.), Proceedings of the 27th annual ACM-SIAM symposium on discrete algorithms, SODA 2016, Arlington, VA, USA, January 10–12, 2016. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 298-317 (2016). MSC: 94A12 65T50 65Y20 PDF BibTeX XML Cite \textit{M. Cheraghchi} and \textit{P. Indyk}, in: Proceedings of the 27th annual ACM-SIAM symposium on discrete algorithms, SODA 2016, Arlington, VA, USA, January 10--12, 2016. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 298--317 (2016; Zbl 1412.94028) Full Text: DOI arXiv
Blelloch, Guy E.; Fineman, Jeremy T.; Gibbons, Phillip B.; Gu, Yan; Shun, Julian Efficient algorithms with asymmetric read and write costs. (English) Zbl 1397.68084 Sankowski, Piotr (ed.) et al., 24th annual European symposium on algorithms, ESA 2016, Aarhus, Denmark, August 22–24, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-015-6). LIPIcs – Leibniz International Proceedings in Informatics 57, Article 14, 18 p. (2016). MSC: 68Q17 68Q05 68Q10 68R10 68W01 PDF BibTeX XML Cite \textit{G. E. Blelloch} et al., LIPIcs -- Leibniz Int. Proc. Inform. 57, Article 14, 18 p. (2016; Zbl 1397.68084) Full Text: DOI
Deuar, P. A tractable prescription for large-scale free flight expansion of wavefunctions. (English) Zbl 1380.65455 Comput. Phys. Commun. 208, 92-102 (2016). MSC: 65T50 81Q05 65Z05 65Y20 PDF BibTeX XML Cite \textit{P. Deuar}, Comput. Phys. Commun. 208, 92--102 (2016; Zbl 1380.65455) Full Text: DOI
Kapralov, Michael Sparse Fourier transform in any constant dimension with nearly-optimal sample complexity in sublinear time. (English) Zbl 1377.94011 Wichs, Daniel (ed.) et al., Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC ’16, Cambridge, MA, USA, June 19–21, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4132-5). 264-277 (2016). MSC: 94A12 65T50 68Q25 68W20 PDF BibTeX XML Cite \textit{M. Kapralov}, in: Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC '16, Cambridge, MA, USA, June 19--21, 2016. New York, NY: Association for Computing Machinery (ACM). 264--277 (2016; Zbl 1377.94011) Full Text: DOI
Chen, Yannan; Qi, Liqun; Wang, Qun Computing extreme eigenvalues of large scale Hankel tensors. (English) Zbl 1377.65046 J. Sci. Comput. 68, No. 2, 716-738 (2016). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A69 65T50 65K05 65Y20 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Sci. Comput. 68, No. 2, 716--738 (2016; Zbl 1377.65046) Full Text: DOI
Boyer, Claire; Chauffert, Nicolas; Ciuciu, Philippe; Kahn, Jonas; Weiss, Pierre On the generation of sampling schemes for magnetic resonance imaging. (English) Zbl 1439.94003 SIAM J. Imaging Sci. 9, No. 4, 2039-2072 (2016). MSC: 94A08 94A15 94A20 41A29 68W25 PDF BibTeX XML Cite \textit{C. Boyer} et al., SIAM J. Imaging Sci. 9, No. 4, 2039--2072 (2016; Zbl 1439.94003) Full Text: DOI
Ducas, Léo; Prest, Thomas Fast Fourier orthogonalization. (English) Zbl 1365.65105 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 191-198 (2016). MSC: 65F25 65F05 65T50 65Y20 94A60 PDF BibTeX XML Cite \textit{L. Ducas} and \textit{T. Prest}, in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 191--198 (2016; Zbl 1365.65105) 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
Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang Fast phase retrieval from local correlation measurements. (English) Zbl 1352.49035 SIAM J. Imaging Sci. 9, No. 4, 1655-1688 (2016). MSC: 49N45 49N30 42A38 65T50 15B52 68W25 PDF BibTeX XML Cite \textit{M. A. Iwen} et al., SIAM J. Imaging Sci. 9, No. 4, 1655--1688 (2016; Zbl 1352.49035) Full Text: DOI
Hnativ, L. O. Integer cosine transforms for high-efficiency image and video coding. (English. Russian original) Zbl 1353.65141 Cybern. Syst. Anal. 52, No. 5, 802-816 (2016); translation from Kibern. Sist. Anal. 2016, No. 5, 161-176 (2016). MSC: 65T50 65Y20 PDF BibTeX XML Cite \textit{L. O. Hnativ}, Cybern. Syst. Anal. 52, No. 5, 802--816 (2016; Zbl 1353.65141); translation from Kibern. Sist. Anal. 2016, No. 5, 161--176 (2016) Full Text: DOI
Townsend, Alex Book review of: R. M. Corless and N. Fillion, A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1348.00031 SIAM Rev. 58, No. 4, 795-798 (2016). MSC: 00A17 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 PDF BibTeX XML Cite \textit{A. Townsend}, SIAM Rev. 58, No. 4, 795--798 (2016; Zbl 1348.00031) Full Text: DOI
Zhang, Jiong; Duits, Remco; Sanguinetti, Gonzalo; ter Haar Romeny, Bart M. Numerical approaches for linear left-invariant diffusions on \(SE(2)\), their comparison to exact solutions, and their applications in retinal imaging. (English) Zbl 1363.65008 Numer. Math., Theory Methods Appl. 9, No. 1, 1-50 (2016). MSC: 65C30 65M06 65T50 65C05 35H10 65M75 60J05 65D18 65M15 60H15 60H35 35R60 PDF BibTeX XML Cite \textit{J. Zhang} et al., Numer. Math., Theory Methods Appl. 9, No. 1, 1--50 (2016; Zbl 1363.65008) Full Text: DOI arXiv
Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire Even faster integer multiplication. (English) Zbl 1350.68145 J. Complexity 36, 1-30 (2016). MSC: 68Q25 11Y16 65T50 68Q05 PDF BibTeX XML Cite \textit{D. Harvey} et al., J. Complexity 36, 1--30 (2016; Zbl 1350.68145) Full Text: DOI arXiv
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
Perera, Sirani K. M. Signal processing based on stable radix-2 DCT I-IV algorithms having orthogonal factors. (English) Zbl 1341.65055 Electron. J. Linear Algebra 31, 362-380 (2016). MSC: 65T50 65D18 94A08 94A12 PDF BibTeX XML Cite \textit{S. K. M. Perera}, Electron. J. Linear Algebra 31, 362--380 (2016; Zbl 1341.65055) Full Text: DOI Link
Christlieb, Andrew; Lawlor, David; Wang, Yang A multiscale sub-linear time Fourier algorithm for noisy data. (English) Zbl 1403.42006 Appl. Comput. Harmon. Anal. 40, No. 3, 553-574 (2016). MSC: 42B10 65T50 PDF BibTeX XML Cite \textit{A. Christlieb} et al., Appl. Comput. Harmon. Anal. 40, No. 3, 553--574 (2016; Zbl 1403.42006) Full Text: DOI arXiv
Kawano, Yasuhito; Sekigawa, Hiroshi Quantum Fourier transform over symmetric groups – improved result. (English) Zbl 1332.81032 J. Symb. Comput. 75, 219-243 (2016). MSC: 81P68 65T50 20B30 68Q12 PDF BibTeX XML Cite \textit{Y. Kawano} and \textit{H. Sekigawa}, J. Symb. Comput. 75, 219--243 (2016; Zbl 1332.81032) Full Text: DOI
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
Towers, Isaac Book review of: J. N. Kutz, Data-driven modeling and scientific computation. Methods for complex systems and big data. (English) Zbl 1369.00070 Aust. Math. Soc. Gaz. 42, No. 1, 33-35 (2015). MSC: 00A17 65-01 00A69 65M60 65N30 65M70 65T50 65L60 65L12 65M06 65N06 65N35 65T60 65Y15 62-07 65C60 PDF BibTeX XML Cite \textit{I. Towers}, Aust. Math. Soc. Gaz. 42, No. 1, 33--35 (2015; Zbl 1369.00070)
Rajapaksha, Nilanka; Madanayake, Arjuna; Cintra, Renato J.; Adikari, Jithra; Dimitrov, Vassil S. VLSI computational architectures for the arithmetic cosine transform. (English) Zbl 1360.94094 IEEE Trans. Comput. 64, No. 9, 2708-2715 (2015). MSC: 94A12 65T50 65Y10 PDF BibTeX XML Cite \textit{N. Rajapaksha} et al., IEEE Trans. Comput. 64, No. 9, 2708--2715 (2015; Zbl 1360.94094) Full Text: DOI
Snytnikov, N. V. Optimized parallel algorithm for solving the Poisson equation in non-stationary problems. (English) Zbl 1374.65204 Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 17, 61-67 (2015). MSC: 65N55 65Y05 35J05 65N06 65T50 PDF BibTeX XML Cite \textit{N. V. Snytnikov}, Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 17, 61--67 (2015; Zbl 1374.65204) Full Text: Link
Scheiber, Ernest On the Chebyshev approximation of a function with two variables. (English) Zbl 1374.65222 Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 8(57), No. 2, 131-146 (2015). MSC: 65T50 65D15 41A10 41A63 PDF BibTeX XML Cite \textit{E. Scheiber}, Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 8(57), No. 2, 131--146 (2015; Zbl 1374.65222) Full Text: arXiv
Lüders, Christoph Implementation of the DKSS algorithm for multiplication of large numbers. (English) Zbl 1346.68294 Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6–9, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3435-8). 267-274 (2015). MSC: 68W30 65T50 68Q25 PDF BibTeX XML Cite \textit{C. Lüders}, in: Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6--9, 2015. New York, NY: Association for Computing Machinery (ACM). 267--274 (2015; Zbl 1346.68294) Full Text: DOI
Cui, Xiang; Li, Xiaowen; Chen, Yifeng Programming method of dimensional array types and high performance FFT implementation. (Chinese. English summary) Zbl 1349.65734 J. Softw. 26, No. 12, 3104-3116 (2015). MSC: 65T50 65Y10 68N15 PDF BibTeX XML Cite \textit{X. Cui} et al., J. Softw. 26, No. 12, 3104--3116 (2015; Zbl 1349.65734) Full Text: DOI
Mamatha, I.; Sudarshan, T. S. B.; Tripathi, Shikha; Bhattar, Nikhil Triple-matrix product-based 2D systolic implementation of discrete Fourier transform. (English) Zbl 1367.68014 Circuits Syst. Signal Process. 34, No. 10, 3221-3239 (2015). MSC: 68M07 65T50 68W35 PDF BibTeX XML Cite \textit{I. Mamatha} et al., Circuits Syst. Signal Process. 34, No. 10, 3221--3239 (2015; Zbl 1367.68014) Full Text: DOI
Ding, Weiyang; Qi, Liqun; Wei, Yimin Fast Hankel tensor-vector product and its application to exponential data fitting. (English) Zbl 1349.65070 Numer. Linear Algebra Appl. 22, No. 5, 814-832 (2015). MSC: 65D10 65T50 65Y20 15B05 PDF BibTeX XML Cite \textit{W. Ding} et al., Numer. Linear Algebra Appl. 22, No. 5, 814--832 (2015; Zbl 1349.65070) Full Text: DOI
Dogra, Shruti; Dorai, Arvind; Dorai, Kavita Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator. (English) Zbl 1334.81028 Int. J. Quantum Inf. 13, No. 7, Article ID 1550059, 13 p. (2015). MSC: 81P68 65T50 68Q12 PDF BibTeX XML Cite \textit{S. Dogra} et al., Int. J. Quantum Inf. 13, No. 7, Article ID 1550059, 13 p. (2015; Zbl 1334.81028) Full Text: DOI
Bowman, John C.; Roberts, Malcolm Adaptive matrix transpose algorithms for distributed multicore processors. (English) Zbl 1331.65064 Cojocaru, Monica G. (ed.) et al., Interdisciplinary topics in applied mathematics, modeling and computational science. Selected papers based on the presentations at the 2nd conference, AMMCS 2013, Waterloo, Canada, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-12306-6/hbk; 978-3-319-12307-3/ebook). Springer Proceedings in Mathematics & Statistics 117, 97-103 (2015). MSC: 65F30 65Y05 65T50 PDF BibTeX XML Cite \textit{J. C. Bowman} and \textit{M. Roberts}, in: Interdisciplinary topics in applied mathematics, modeling and computational science. Selected papers based on the presentations at the 2nd conference, AMMCS 2013, Waterloo, Canada, August 26--30, 2013. Cham: Springer. 97--103 (2015; Zbl 1331.65064) Full Text: DOI
Ailon, Nir Tighter Fourier transform lower bounds. (English) Zbl 1435.68108 Halldórsson, Magnús M. (ed.) et al., Automata, languages, and programming. 42nd international colloquium, ICALP 2015, Kyoto, Japan, July 6–10, 2015. Proceedings. Part I. Berlin: Springer. Lect. Notes Comput. Sci. 9134, 14-25 (2015). MSC: 68Q17 65T50 65Y20 PDF BibTeX XML Cite \textit{N. Ailon}, Lect. Notes Comput. Sci. 9134, 14--25 (2015; Zbl 1435.68108) Full Text: DOI
Bespalov, M. S. Cyclic operators for columns of the matrices of discrete transforms. (English. Russian original) Zbl 1329.65329 J. Math. Sci., New York 208, No. 1, 36-48 (2015); translation from Probl. Mat. Anal. 79, 35-44 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65T50 65F30 42C10 15A04 15B34 PDF BibTeX XML Cite \textit{M. S. Bespalov}, J. Math. Sci., New York 208, No. 1, 36--48 (2015; Zbl 1329.65329); translation from Probl. Mat. Anal. 79, 35--44 (2015) Full Text: DOI
Gumerov, Nail A.; Duraiswami, Ramani Recursive computation of spherical harmonic rotation coefficients of large degree. (English) Zbl 1325.65163 Balan, Radu (ed.) et al., Excursions in harmonic analysis, Volume 3. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002–2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-13229-7/hbk; 978-3-319-13230-3/ebook). Applied and Numerical Harmonic Analysis, 105-141 (2015). MSC: 65N38 35J05 65N06 65T50 65N12 65Y20 33C55 PDF BibTeX XML Cite \textit{N. A. Gumerov} and \textit{R. Duraiswami}, in: Excursions in harmonic analysis, Volume 3. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002--2013. Cham: Birkhäuser/Springer. 105--141 (2015; Zbl 1325.65163) Full Text: DOI
Chan, Timothy M.; Lewenstein, Moshe Clustered integer 3SUM via additive combinatorics. (English) Zbl 1321.68299 Proceedings of the 47th annual ACM symposium on theory of computing, STOC ’15, Portland, OR, USA, June 14–17, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3536-2). 31-40 (2015). MSC: 68Q25 68Q17 68R05 PDF BibTeX XML Cite \textit{T. M. Chan} and \textit{M. Lewenstein}, in: Proceedings of the 47th annual ACM symposium on theory of computing, STOC '15, Portland, OR, USA, June 14--17, 2015. New York, NY: Association for Computing Machinery (ACM). 31--40 (2015; Zbl 1321.68299) Full Text: DOI
Du, Ning; Wang, Hong A fast finite element method for space-fractional dispersion equations on bounded domains in \(\mathbb{R}^2\). (English) Zbl 1331.65175 SIAM J. Sci. Comput. 37, No. 3, A1614-A1635 (2015). MSC: 65R20 35R11 60J60 65F10 65F30 65T50 65M60 PDF BibTeX XML Cite \textit{N. Du} and \textit{H. Wang}, SIAM J. Sci. Comput. 37, No. 3, A1614--A1635 (2015; Zbl 1331.65175) Full Text: DOI
Nam, Y. S.; Blümel, R. Structural stability of the quantum Fourier transform. (English) Zbl 1320.81040 Quantum Inf. Process. 14, No. 4, 1179-1192 (2015). MSC: 81P68 68Q12 65T50 PDF BibTeX XML Cite \textit{Y. S. Nam} and \textit{R. Blümel}, Quantum Inf. Process. 14, No. 4, 1179--1192 (2015; Zbl 1320.81040) Full Text: DOI
Abbas, Ali A fourth-order Hermitian box-scheme with fast solver for the Poisson problem in a cube. (English) Zbl 1316.65094 Numer. Methods Partial Differ. Equations 31, No. 3, 609-629 (2015). MSC: 65N08 35J05 65T50 65Y20 PDF BibTeX XML Cite \textit{A. Abbas}, Numer. Methods Partial Differ. Equations 31, No. 3, 609--629 (2015; Zbl 1316.65094) Full Text: DOI
Sharon, Nir; Shkolnisky, Yoel A class of Laplacian multiwavelets bases for high-dimensional data. (English) Zbl 1314.65165 Appl. Comput. Harmon. Anal. 38, No. 3, 420-451 (2015). MSC: 65T60 65T50 65D15 PDF BibTeX XML Cite \textit{N. Sharon} and \textit{Y. Shkolnisky}, Appl. Comput. Harmon. Anal. 38, No. 3, 420--451 (2015; Zbl 1314.65165) Full Text: DOI
Cariow, Aleksandr; Majorkowska-Mech, Dorota Fast algorithm for discrete fractional Hadamard transform. (English) Zbl 1311.65174 Numer. Algorithms 68, No. 3, 585-600 (2015). MSC: 65T50 PDF BibTeX XML Cite \textit{A. Cariow} and \textit{D. Majorkowska-Mech}, Numer. Algorithms 68, No. 3, 585--600 (2015; Zbl 1311.65174) Full Text: DOI
Krovi, Hari; Russell, Alexander Quantum Fourier transforms and the complexity of link invariants for quantum doubles of finite groups. (English) Zbl 1308.81061 Commun. Math. Phys. 334, No. 2, 743-777 (2015). MSC: 81P68 16T05 57M25 65T50 68Q12 PDF BibTeX XML Cite \textit{H. Krovi} and \textit{A. Russell}, Commun. Math. Phys. 334, No. 2, 743--777 (2015; Zbl 1308.81061) Full Text: DOI
Forster, Otto Algorithmic number theory. 2nd revised and extended ed. (Algorithmische Zahlentheorie.) (German) Zbl 1304.11002 Heidelberg: Springer Spektrum (ISBN 978-3-658-06539-3/pbk; 978-3-658-06540-9/ebook). viii, 314 p. (2015). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11Axx 11B39 11R11 11Y05 11Y11 11Y16 11Y40 11Y65 PDF BibTeX XML Cite \textit{O. Forster}, Algorithmische Zahlentheorie. 2nd revised and extended ed. Heidelberg: Springer Spektrum (2015; Zbl 1304.11002) Full Text: DOI