Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems. II: Projection and augmentation. (English) Zbl 1526.65011 SIAM J. Matrix Anal. Appl. 44, No. 4, 1589-1618 (2023). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1589--1618 (2023; Zbl 1526.65011) Full Text: DOI arXiv
Hristov, I.; Hristova, R.; Puzynin, I.; Puzynina, T.; Sharipov, Z.; Tukhliev, Z. A database of high precision trivial choreographies for the planar three-body problem. (English) Zbl 1521.70013 Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 171-180 (2023). MSC: 70F07 65H10 PDFBibTeX XMLCite \textit{I. Hristov} et al., Lect. Notes Comput. Sci. 13858, 171--180 (2023; Zbl 1521.70013) Full Text: DOI arXiv
Fasi, Massimiliano; Higham, Nicholas J.; Liu, Xiaobo Computing the square root of a low-rank perturbation of the scaled identity matrix. (English) Zbl 1516.15004 SIAM J. Matrix Anal. Appl. 44, No. 1, 156-174 (2023). Reviewer: Ali Morassaei (Zanjan) MSC: 15A16 65F60 PDFBibTeX XMLCite \textit{M. Fasi} et al., SIAM J. Matrix Anal. Appl. 44, No. 1, 156--174 (2023; Zbl 1516.15004) Full Text: DOI
Bujanović, Zvonimir; Kressner, Daniel; Schröder, Christian Iterative refinement of Schur decompositions. (English) Zbl 1507.65076 Numer. Algorithms 92, No. 1, 247-267 (2023). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{Z. Bujanović} et al., Numer. Algorithms 92, No. 1, 247--267 (2023; Zbl 1507.65076) Full Text: DOI arXiv
Druskin, Vladimir; Güttel, Stefan; Knizhnerman, Leonid Model order reduction of layered waveguides via rational Krylov fitting. (English) Zbl 1505.35099 BIT 62, No. 4, 1551-1572 (2022). MSC: 35J05 65N06 PDFBibTeX XMLCite \textit{V. Druskin} et al., BIT 62, No. 4, 1551--1572 (2022; Zbl 1505.35099) Full Text: DOI arXiv
Cockburn, Bernardo; Xia, Shiqiang An adjoint-based super-convergent Galerkin approximation of eigenvalues. (English) Zbl 07524805 J. Comput. Phys. 449, Article ID 110816, 21 p. (2022). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{S. Xia}, J. Comput. Phys. 449, Article ID 110816, 21 p. (2022; Zbl 07524805) Full Text: DOI
Liao, Zeyu; Hayami, Ken; Morikuni, Keiichi; Yin, Jun-Feng A stabilized GMRES method for singular and severely ill-conditioned systems of linear equations. (English) Zbl 1492.65095 Japan J. Ind. Appl. Math. 39, No. 2, 717-751 (2022). MSC: 65F22 65F20 65F25 PDFBibTeX XMLCite \textit{Z. Liao} et al., Japan J. Ind. Appl. Math. 39, No. 2, 717--751 (2022; Zbl 1492.65095) Full Text: DOI arXiv
Al-Mohy, Awad H.; Higham, Nicholas J.; Liu, Xiaobo Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative. (English) Zbl 1508.65044 SIAM J. Matrix Anal. Appl. 43, No. 1, 233-256 (2022). MSC: 65F60 65G30 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} et al., SIAM J. Matrix Anal. Appl. 43, No. 1, 233--256 (2022; Zbl 1508.65044) Full Text: DOI
Boito, Paola; Eidelman, Yuli; Gemignani, Luca Computing the reciprocal of a \(\phi\)-function by rational approximation. (English) Zbl 1481.65069 Adv. Comput. Math. 48, No. 1, Paper No. 1, 28 p. (2022). MSC: 65F60 PDFBibTeX XMLCite \textit{P. Boito} et al., Adv. Comput. Math. 48, No. 1, Paper No. 1, 28 p. (2022; Zbl 1481.65069) Full Text: DOI arXiv
Higham, Nicholas J.; Liu, Xiaobo A multiprecision derivative-free Schur-Parlett algorithm for computing matrix functions. (English) Zbl 1476.65067 SIAM J. Matrix Anal. Appl. 42, No. 3, 1401-1422 (2021). MSC: 65F60 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{X. Liu}, SIAM J. Matrix Anal. Appl. 42, No. 3, 1401--1422 (2021; Zbl 1476.65067) Full Text: DOI
Abrahamsen, Dylan; Fornberg, Bengt On the infinite order limit of Hermite-based finite difference schemes. (English) Zbl 1484.65240 SIAM J. Numer. Anal. 59, No. 4, 1857-1874 (2021). MSC: 65M70 65M06 65T40 PDFBibTeX XMLCite \textit{D. Abrahamsen} and \textit{B. Fornberg}, SIAM J. Numer. Anal. 59, No. 4, 1857--1874 (2021; Zbl 1484.65240) Full Text: DOI
Ellison, Abe C.; Fornberg, Bengt A parallel-in-time approach for wave-type PDEs. (English) Zbl 1477.65150 Numer. Math. 148, No. 1, 79-98 (2021). MSC: 65M20 65L06 65L05 65Y05 PDFBibTeX XMLCite \textit{A. C. Ellison} and \textit{B. Fornberg}, Numer. Math. 148, No. 1, 79--98 (2021; Zbl 1477.65150) Full Text: DOI arXiv
Rauch, Reuben; Trummer, Manfred R.; Williams, J. F. A spectral collocation method for mixed functional differential equations. (English) Zbl 1461.65225 Appl. Numer. Math. 161, 101-110 (2021). MSC: 65L60 34K37 PDFBibTeX XMLCite \textit{R. Rauch} et al., Appl. Numer. Math. 161, 101--110 (2021; Zbl 1461.65225) Full Text: DOI
Fornberg, Bengt Improving the accuracy of the trapezoidal rule. (English) Zbl 1462.65029 SIAM Rev. 63, No. 1, 167-180 (2021). MSC: 65D30 65D32 65B15 PDFBibTeX XMLCite \textit{B. Fornberg}, SIAM Rev. 63, No. 1, 167--180 (2021; Zbl 1462.65029) Full Text: DOI
Maxwell, Peter; Ellingsen, Simen Å. Path-following methods for calculating linear surface wave dispersion relations on vertical shear flows. (English) Zbl 1462.65083 Water Waves 2, No. 2, 381-414 (2020). MSC: 65L05 65L06 65L09 65Z05 PDFBibTeX XMLCite \textit{P. Maxwell} and \textit{S. Å. Ellingsen}, Water Waves 2, No. 2, 381--414 (2020; Zbl 1462.65083) Full Text: DOI arXiv
Rump, Siegfried M. On recurrences converging to the wrong limit in finite precision and some new examples. (English) Zbl 1448.65041 ETNA, Electron. Trans. Numer. Anal. 52, 358-369 (2020); addendum ibid. 52, 571-575 (2020). MSC: 65G50 11B37 65G30 PDFBibTeX XMLCite \textit{S. M. Rump}, ETNA, Electron. Trans. Numer. Anal. 52, 358--369 (2020; Zbl 1448.65041) Full Text: DOI Link
Cayama, Jorge; Cuesta, Carlota M.; de la Hoz, Francisco Numerical approximation of the fractional Laplacian on \(\mathbb{R}\) using orthogonal families. (English) Zbl 07249428 Appl. Numer. Math. 158, 164-193 (2020). MSC: 65-XX 33-XX 35-XX PDFBibTeX XMLCite \textit{J. Cayama} et al., Appl. Numer. Math. 158, 164--193 (2020; Zbl 07249428) Full Text: DOI arXiv
Elsworth, Steven; Güttel, Stefan The block rational Arnoldi method. (English) Zbl 1441.65047 SIAM J. Matrix Anal. Appl. 41, No. 2, 365-388 (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F25 65F15 65F50 PDFBibTeX XMLCite \textit{S. Elsworth} and \textit{S. Güttel}, SIAM J. Matrix Anal. Appl. 41, No. 2, 365--388 (2020; Zbl 1441.65047) Full Text: DOI
Hervella-Nieto, Luis; López-Pérez, Paula M.; Prieto, Andrés Robustness and dispersion analysis of the partition of unity finite element method applied to the Helmholtz equation. (English) Zbl 1439.65084 Comput. Math. Appl. 79, No. 8, 2426-2446 (2020). MSC: 65L10 65L60 PDFBibTeX XMLCite \textit{L. Hervella-Nieto} et al., Comput. Math. Appl. 79, No. 8, 2426--2446 (2020; Zbl 1439.65084) Full Text: DOI
Xu, Yiran; Li, Jingye; Chen, Xiaohong; Pang, Guofei Solving fractional Laplacian visco-acoustic wave equations on complex-geometry domains using Grünwald-formula based radial basis collocation method. (English) Zbl 1437.65217 Comput. Math. Appl. 79, No. 8, 2153-2167 (2020). MSC: 65N35 26A33 35R11 86A15 35Q86 PDFBibTeX XMLCite \textit{Y. Xu} et al., Comput. Math. Appl. 79, No. 8, 2153--2167 (2020; Zbl 1437.65217) Full Text: DOI
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for singular value decomposition based on matrix multiplication. (English) Zbl 1431.65045 J. Comput. Appl. Math. 369, Article ID 112512, 11 p. (2020). MSC: 65F15 15A18 15A23 65F99 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, J. Comput. Appl. Math. 369, Article ID 112512, 11 p. (2020; Zbl 1431.65045) Full Text: DOI
Go, Myeong-Seok; Lim, Jae Hyuk; Kim, Jin-Gyun; Hwang, Ki-Ryoung A family of Craig-Bampton methods considering residual mode compensation. (English) Zbl 1433.74105 Appl. Math. Comput. 369, Article ID 124822, 15 p. (2020). MSC: 74S05 65M60 65N30 PDFBibTeX XMLCite \textit{M.-S. Go} et al., Appl. Math. Comput. 369, Article ID 124822, 15 p. (2020; Zbl 1433.74105) Full Text: DOI
Courtier, N. E.; Foster, J. M.; O’Kane, S. E. J.; Walker, A. B.; Richardson, G. Systematic derivation of a surface polarisation model for planar perovskite solar cells. (English) Zbl 1431.78005 Eur. J. Appl. Math. 30, No. 3, 427-457 (2019); corrigendum ibid. 31, No. 1, 183-184 (2020). MSC: 78A35 78M35 82D37 35Q60 35Q82 65M20 65M06 65L80 65L04 82M36 PDFBibTeX XMLCite \textit{N. E. Courtier} et al., Eur. J. Appl. Math. 30, No. 3, 427--457 (2019; Zbl 1431.78005) Full Text: DOI arXiv
Higham, Nicholas J.; Pranesh, Srikara Simulating low precision floating-point arithmetic. (English) Zbl 07124603 SIAM J. Sci. Comput. 41, No. 5, C585-C602 (2019). MSC: 65Y04 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{S. Pranesh}, SIAM J. Sci. Comput. 41, No. 5, C585--C602 (2019; Zbl 07124603) Full Text: DOI
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues. (English) Zbl 1418.65049 Japan J. Ind. Appl. Math. 36, No. 2, 435-459 (2019). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, Japan J. Ind. Appl. Math. 36, No. 2, 435--459 (2019; Zbl 1418.65049) Full Text: DOI
Carbone, Maurizio; Iovieno, Michele Application of the nonuniform fast Fourier transform to the direct numerical simulation of two-way coupled particle laden flows. (English) Zbl 1416.76074 Hernández, S. (ed.) et al., Advances in fluid mechanics XII. Proceedings of the 12th international conference on advances in fluid mechanics, AFM, Ljubljana, Slovenia, July 10–12, 2018. Southampton: WIT Press. WIT Trans. Eng. Sci. 120, 237-248 (2019). MSC: 76F65 65T50 76T20 PDFBibTeX XMLCite \textit{M. Carbone} and \textit{M. Iovieno}, WIT Trans. Eng. Sci. 120, 237--248 (2019; Zbl 1416.76074) Full Text: Link
Chen, Zheng; Hauck, Cory D. Multiscale convergence properties for spectral approximations of a model kinetic equation. (English) Zbl 1474.65382 Math. Comput. 88, No. 319, 2257-2293 (2019). MSC: 65M70 65M12 65M15 65M22 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{C. D. Hauck}, Math. Comput. 88, No. 319, 2257--2293 (2019; Zbl 1474.65382) Full Text: DOI arXiv
Fornberg, Bengt; Reeger, Jonah A. An improved Gregory-like method for 1-D quadrature. (English) Zbl 07006662 Numer. Math. 141, No. 1, 1-19 (2019). MSC: 65D30 65D32 65B15 PDFBibTeX XMLCite \textit{B. Fornberg} and \textit{J. A. Reeger}, Numer. Math. 141, No. 1, 1--19 (2019; Zbl 07006662) Full Text: DOI Link
Higham, Nicholas J.; Mary, Theo A new preconditioner that exploits low-rank approximations to factorization error. (English) Zbl 1408.65013 SIAM J. Sci. Comput. 41, No. 1, A59-A82 (2019). Reviewer: Georg Hebermehl (Berlin) MSC: 65F10 65F08 65F05 65F25 65F30 68Q87 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{T. Mary}, SIAM J. Sci. Comput. 41, No. 1, A59--A82 (2019; Zbl 1408.65013) Full Text: DOI
Van Barel, Marc; Tisseur, Françoise Polynomial eigenvalue solver based on tropically scaled Lagrange linearization. (English) Zbl 1418.65052 Linear Algebra Appl. 542, 186-208 (2018). MSC: 65F15 15A22 15A80 15A18 47J10 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{F. Tisseur}, Linear Algebra Appl. 542, 186--208 (2018; Zbl 1418.65052) Full Text: DOI Link
Pan, Binfeng; Wang, Yang; Tian, Shaohua A high-precision single shooting method for solving hypersensitive optimal control problems. (English) Zbl 1427.49034 Math. Probl. Eng. 2018, Article ID 7908378, 11 p. (2018). MSC: 49M20 65K10 49M37 PDFBibTeX XMLCite \textit{B. Pan} et al., Math. Probl. Eng. 2018, Article ID 7908378, 11 p. (2018; Zbl 1427.49034) Full Text: DOI
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for symmetric eigenvalue decomposition. (English) Zbl 1403.65018 Japan J. Ind. Appl. Math. 35, No. 3, 1007-1035 (2018). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, Japan J. Ind. Appl. Math. 35, No. 3, 1007--1035 (2018; Zbl 1403.65018) Full Text: DOI
Tenetov, Evgeny; Wolansky, Gershon; Kimmel, Ron Fast entropic regularized optimal transport using semidiscrete cost approximation. (English) Zbl 1401.65020 SIAM J. Sci. Comput. 40, No. 5, A3400-A3422 (2018). MSC: 65D05 90C08 49M25 PDFBibTeX XMLCite \textit{E. Tenetov} et al., SIAM J. Sci. Comput. 40, No. 5, A3400--A3422 (2018; Zbl 1401.65020) Full Text: DOI
Fasi, Massimiliano; Higham, Nicholas J. Multiprecision algorithms for computing the matrix logarithm. (English) Zbl 1390.15073 SIAM J. Matrix Anal. Appl. 39, No. 1, 472-491 (2018). MSC: 15A60 65F30 65F60 PDFBibTeX XMLCite \textit{M. Fasi} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 39, No. 1, 472--491 (2018; Zbl 1390.15073) Full Text: DOI
Sarra, Scott A.; Cogar, Samuel An examination of evaluation algorithms for the RBF method. (English) Zbl 1403.65010 Eng. Anal. Bound. Elem. 75, 36-45 (2017). MSC: 65D10 65G99 41A30 PDFBibTeX XMLCite \textit{S. A. Sarra} and \textit{S. Cogar}, Eng. Anal. Bound. Elem. 75, 36--45 (2017; Zbl 1403.65010) Full Text: DOI
Bertoluzza, Silvia; Perrier, Valérie A new construction of boundary interpolating wavelets for fourth order problems. (English) Zbl 1421.65033 Acta Appl. Math. 152, No. 1, 33-56 (2017). Reviewer: Yuri A. Farkov (Moscow) MSC: 65T60 65N35 74K10 74S25 PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{V. Perrier}, Acta Appl. Math. 152, No. 1, 33--56 (2017; Zbl 1421.65033) Full Text: DOI HAL
Carson, Erin; Higham, Nicholas J. A new analysis of iterative refinement and its application to accurate solution of ill-conditioned sparse linear systems. (English) Zbl 1379.65019 SIAM J. Sci. Comput. 39, No. 6, A2834-A2856 (2017). MSC: 65F10 65F35 65G50 65F08 PDFBibTeX XMLCite \textit{E. Carson} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 39, No. 6, A2834--A2856 (2017; Zbl 1379.65019) Full Text: DOI
Berljafa, Mario; Güttel, Stefan The RKFIT algorithm for nonlinear rational approximation. (English) Zbl 1373.65037 SIAM J. Sci. Comput. 39, No. 5, A2049-A2071 (2017). MSC: 65H10 41A20 93D25 65K10 PDFBibTeX XMLCite \textit{M. Berljafa} and \textit{S. Güttel}, SIAM J. Sci. Comput. 39, No. 5, A2049--A2071 (2017; Zbl 1373.65037) Full Text: DOI
Ceballos, Marcelo A. Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems. (English) Zbl 1388.74117 J. Comput. Appl. Math. 313, 355-382 (2017). MSC: 74S30 65D30 74G15 PDFBibTeX XMLCite \textit{M. A. Ceballos}, J. Comput. Appl. Math. 313, 355--382 (2017; Zbl 1388.74117) Full Text: DOI
Bangay, Shaun; Beliakov, Gleb On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. (English) Zbl 1413.65089 Numer. Linear Algebra Appl. 23, No. 3, 485-500 (2016). MSC: 65F15 15B05 65T50 PDFBibTeX XMLCite \textit{S. Bangay} and \textit{G. Beliakov}, Numer. Linear Algebra Appl. 23, No. 3, 485--500 (2016; Zbl 1413.65089) Full Text: DOI
Drmač, Zlatko SVD of Hankel matrices in Vandermonde-Cauchy product form. (English) Zbl 1330.65057 ETNA, Electron. Trans. Numer. Anal. 44, 593-623 (2015). MSC: 65F15 15A09 15A12 15A18 15A23 15B05 65F22 65F35 65T50 PDFBibTeX XMLCite \textit{Z. Drmač}, ETNA, Electron. Trans. Numer. Anal. 44, 593--623 (2015; Zbl 1330.65057) Full Text: EMIS
de la Hoz, Francisco; Vadillo, Fernando The solution of two-dimensional advection-diffusion equations via operational matrices. (English) Zbl 1302.65235 Appl. Numer. Math. 72, 172-187 (2013). MSC: 65M70 35K20 65M12 PDFBibTeX XMLCite \textit{F. de la Hoz} and \textit{F. Vadillo}, Appl. Numer. Math. 72, 172--187 (2013; Zbl 1302.65235) Full Text: DOI
Clamond, Didier; Dutykh, Denys Fast accurate computation of the fully nonlinear solitary surface gravity waves. (English) Zbl 1290.76018 Comput. Fluids 84, 35-38 (2013). MSC: 76B25 76M25 65T50 PDFBibTeX XMLCite \textit{D. Clamond} and \textit{D. Dutykh}, Comput. Fluids 84, 35--38 (2013; Zbl 1290.76018) Full Text: DOI arXiv