Jung, Dohee; Chun, Changbum A general approach for improving the Padé iterations for the matrix sign function. (English) Zbl 1519.65011 J. Comput. Appl. Math. 436, Article ID 115348, 15 p. (2024). MSC: 65H05 65F60 PDFBibTeX XMLCite \textit{D. Jung} and \textit{C. Chun}, J. Comput. Appl. Math. 436, Article ID 115348, 15 p. (2024; Zbl 1519.65011) Full Text: DOI
Kouri, Drew P.; Hua, Zuhao; Udell, Madeleine A greedy Galerkin method to efficiently select sensors for linear dynamical systems. (English) Zbl 07761762 Linear Algebra Appl. 679, 275-304 (2023). MSC: 62K05 34H05 93B07 65F45 49N05 PDFBibTeX XMLCite \textit{D. P. Kouri} et al., Linear Algebra Appl. 679, 275--304 (2023; Zbl 07761762) Full Text: DOI
Macías, Mauricio; Pérez, Rosana; Martínez, Héctor Jairo Two global quasi-Newton algorithms for solving matrix polynomial equations. (English) Zbl 07745074 Comput. Appl. Math. 42, No. 7, Paper No. 311, 25 p. (2023). MSC: 65H10 65F30 65F35 90C53 PDFBibTeX XMLCite \textit{M. Macías} et al., Comput. Appl. Math. 42, No. 7, Paper No. 311, 25 p. (2023; Zbl 07745074) Full Text: DOI OA License
Connolly, Michael P.; Higham, Nicholas J. Probabilistic rounding error analysis of Householder QR factorization. (English) Zbl 1520.65019 SIAM J. Matrix Anal. Appl. 44, No. 3, 1146-1163 (2023). MSC: 65F05 65G50 PDFBibTeX XMLCite \textit{M. P. Connolly} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1146--1163 (2023; Zbl 1520.65019) Full Text: DOI
Güttel, Stefan; Schweitzer, Marcel Randomized sketching for Krylov approximations of large-scale matrix functions. (English) Zbl 1520.65029 SIAM J. Matrix Anal. Appl. 44, No. 3, 1073-1095 (2023). MSC: 65F60 65F50 68W20 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{M. Schweitzer}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1073--1095 (2023; Zbl 1520.65029) Full Text: DOI arXiv
Dong, Yuzhuo; Li, Xiao; Qiao, Zhonghua; Zhang, Zhengru Stability and convergence analysis of the exponential time differencing scheme for a Cahn-Hilliard binary fluid-surfactant model. (English) Zbl 07710420 Appl. Numer. Math. 190, 321-343 (2023). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{Y. Dong} et al., Appl. Numer. Math. 190, 321--343 (2023; Zbl 07710420) Full Text: DOI
Vabishchevich, Petr N. Exponent splitting schemes for evolution equations with fractional powers of operators. (English) Zbl 07709145 Int. J. Numer. Anal. Model. 20, No. 3, 371-390 (2023). MSC: 65-XX 35R11 26A33 65F60 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Int. J. Numer. Anal. Model. 20, No. 3, 371--390 (2023; Zbl 07709145) Full Text: DOI
Chen, Hao; Borzì, Alfio Positivity preserving exponential integrators for differential Riccati equations. (English) Zbl 1517.65058 J. Sci. Comput. 96, No. 2, Paper No. 50, 25 p. (2023). MSC: 65L05 65F45 65L20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{A. Borzì}, J. Sci. Comput. 96, No. 2, Paper No. 50, 25 p. (2023; Zbl 1517.65058) Full Text: DOI
Persson, David; Kressner, Daniel Randomized low-rank approximation of monotone matrix functions. (English) Zbl 1515.65104 SIAM J. Matrix Anal. Appl. 44, No. 2, 894-918 (2023). MSC: 65F60 65F55 PDFBibTeX XMLCite \textit{D. Persson} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 44, No. 2, 894--918 (2023; Zbl 1515.65104) Full Text: DOI arXiv
Zhai, Shuying; Weng, Zhifeng; Zhuang, Qingqu; Liu, Fawang; Vo Anh An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model. (English) Zbl 07700220 J. Comput. Appl. Math. 425, Article ID 114959, 14 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{S. Zhai} et al., J. Comput. Appl. Math. 425, Article ID 114959, 14 p. (2023; Zbl 07700220) Full Text: DOI
Cai, Yao-Yuan; Sun, Hai-Wei; Tam, Sik-Chung Numerical study of a fast two-level Strang splitting method for spatial fractional Allen-Cahn equations. (English) Zbl 07698931 J. Sci. Comput. 95, No. 3, Paper No. 71, 23 p. (2023). MSC: 65Mxx 35Rxx PDFBibTeX XMLCite \textit{Y.-Y. Cai} et al., J. Sci. Comput. 95, No. 3, Paper No. 71, 23 p. (2023; Zbl 07698931) Full Text: DOI
Botchev, M. A.; Zhukov, V. T. Exponential Euler and backward Euler methods for nonlinear heat conduction problems. (English) Zbl 07688787 Lobachevskii J. Math. 44, No. 1, 10-19 (2023). MSC: 65-XX 80-XX PDFBibTeX XMLCite \textit{M. A. Botchev} and \textit{V. T. Zhukov}, Lobachevskii J. Math. 44, No. 1, 10--19 (2023; Zbl 07688787) Full Text: DOI arXiv
Giscard, Pierre-Louis; Pozza, Stefano A Lanczos-like method for non-autonomous linear ordinary differential equations. (English) Zbl 1522.65114 Boll. Unione Mat. Ital. 16, No. 1, 81-102 (2023). MSC: 65L05 65F60 PDFBibTeX XMLCite \textit{P.-L. Giscard} and \textit{S. Pozza}, Boll. Unione Mat. Ital. 16, No. 1, 81--102 (2023; Zbl 1522.65114) Full Text: DOI arXiv
Porcelli, Margherita; Simoncini, Valeria Numerical solution of a class of quasi-linear matrix equations. (English) Zbl 1511.65036 Linear Algebra Appl. 664, 349-368 (2023). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Porcelli} and \textit{V. Simoncini}, Linear Algebra Appl. 664, 349--368 (2023; Zbl 1511.65036) Full Text: DOI arXiv
Zhang, Yuze; Yang, Xuguang; Zhang, Lei; Li, Yiteng; Zhang, Tao; Sun, Shuyu Energy landscape analysis for two-phase multi-component NVT flash systems by using ETD type high-index saddle dynamics. (English) Zbl 07652809 J. Comput. Phys. 477, Article ID 111916, 15 p. (2023). MSC: 65Mxx 35Qxx 37Mxx PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Phys. 477, Article ID 111916, 15 p. (2023; Zbl 07652809) Full Text: DOI
Macías, E. M.; Pérez, R.; Martínez, H. J. On the local convergence of a quasi-Newton method for solving matrix polynomial equations. (English) Zbl 1511.65044 Appl. Math. Comput. 441, Article ID 127678, 20 p. (2023). MSC: 65H10 65F35 90C53 PDFBibTeX XMLCite \textit{E. M. Macías} et al., Appl. Math. Comput. 441, Article ID 127678, 20 p. (2023; Zbl 1511.65044) Full Text: DOI
Schweitzer, Marcel Integral representations for higher-order Fréchet derivatives of matrix functions: quadrature algorithms and new results on the level-2 condition number. (English) Zbl 1505.65154 Linear Algebra Appl. 656, 247-276 (2023). MSC: 65D32 15A16 65D30 65F35 65F60 65R10 PDFBibTeX XMLCite \textit{M. Schweitzer}, Linear Algebra Appl. 656, 247--276 (2023; Zbl 1505.65154) Full Text: DOI arXiv
Macías, E. M.; Pérez, R.; Martínez, H. J. An explicit polynomial to globalize algorithms for solving matrix polynomial equations. (English) Zbl 1497.65075 J. Comput. Appl. Math. 420, Article ID 114806, 21 p. (2023). MSC: 65F45 15A24 65H10 PDFBibTeX XMLCite \textit{E. M. Macías} et al., J. Comput. Appl. Math. 420, Article ID 114806, 21 p. (2023; Zbl 1497.65075) Full Text: DOI
Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model. (English) Zbl 1503.65167 J. Comput. Appl. Math. 419, Article ID 114790, 17 p. (2023). MSC: 65M06 35K57 92-10 PDFBibTeX XMLCite \textit{D. Conte} et al., J. Comput. Appl. Math. 419, Article ID 114790, 17 p. (2023; Zbl 1503.65167) Full Text: DOI
Hanna, Magdy Tawfik Fractionalization of a discrete Hankel transform based on an involutory symmetric kernel matrix. (English) Zbl 1509.65030 Circuits Syst. Signal Process. 41, No. 5, 2750-2778 (2022). MSC: 65F15 65T50 15A18 PDFBibTeX XMLCite \textit{M. T. Hanna}, Circuits Syst. Signal Process. 41, No. 5, 2750--2778 (2022; Zbl 1509.65030) Full Text: DOI
Higham, Nicholas J.; Mary, Theo Mixed precision algorithms in numerical linear algebra. (English) Zbl 1512.65081 Acta Numerica 31, 347-414 (2022). MSC: 65G50 65Y04 65F05 65F10 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{T. Mary}, Acta Numerica 31, 347--414 (2022; Zbl 1512.65081) Full Text: DOI
Qiao, Zhonghua; Zhang, Qian Two-phase image segmentation by the Allen-Cahn equation and a nonlocal edge detection operator. (English) Zbl 07672291 Numer. Math., Theory Methods Appl. 15, No. 4, 1147-1172 (2022). MSC: 65K10 65D18 65M12 PDFBibTeX XMLCite \textit{Z. Qiao} and \textit{Q. Zhang}, Numer. Math., Theory Methods Appl. 15, No. 4, 1147--1172 (2022; Zbl 07672291) Full Text: DOI arXiv
Chacha, Chacha S. On solution and perturbation estimates for the nonlinear matrix equation \(X-A^*e^XA=I\). (English) Zbl 1505.65177 J. Egypt. Math. Soc. 30, Paper No. 18, 18 p. (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{C. S. Chacha}, J. Egypt. Math. Soc. 30, Paper No. 18, 18 p. (2022; Zbl 1505.65177) Full Text: DOI
Li, Dongping; Zhang, Yue; Zhang, Xiuying Computing the Lyapunov operator \(\varphi \)-functions, with an application to matrix-valued exponential integrators. (English) Zbl 1505.65188 Appl. Numer. Math. 182, 330-343 (2022). MSC: 65F60 65L05 PDFBibTeX XMLCite \textit{D. Li} et al., Appl. Numer. Math. 182, 330--343 (2022; Zbl 1505.65188) Full Text: DOI arXiv
Miyajima, Shinya Fast enclosure for the minimal nonnegative solution to the nonsymmetric T-Riccati equation. (English) Zbl 1498.65058 Calcolo 59, No. 3, Paper No. 31, 16 p. (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{S. Miyajima}, Calcolo 59, No. 3, Paper No. 31, 16 p. (2022; Zbl 1498.65058) Full Text: DOI
Benner, Peter; Nakatsukasa, Yuji; Penke, Carolin Stable and efficient computation of generalized polar decompositions. (English) Zbl 1492.65116 SIAM J. Matrix Anal. Appl. 43, No. 3, 1058-1083 (2022). MSC: 65F60 65F55 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1058--1083 (2022; Zbl 1492.65116) Full Text: DOI arXiv
Hertrich, Johannes; Steidl, Gabriele Inertial stochastic PALM and applications in machine learning. (English) Zbl 1487.65065 Sampl. Theory Signal Process. Data Anal. 20, No. 1, Paper No. 4, 33 p. (2022). MSC: 65K05 60H25 90C15 90C26 68T07 PDFBibTeX XMLCite \textit{J. Hertrich} and \textit{G. Steidl}, Sampl. Theory Signal Process. Data Anal. 20, No. 1, Paper No. 4, 33 p. (2022; Zbl 1487.65065) Full Text: DOI arXiv
Chen, Hao; Sun, Hai-Wei Second-order maximum principle preserving Strang’s splitting schemes for anisotropic fractional Allen-Cahn equations. (English) Zbl 07525419 Numer. Algorithms 90, No. 2, 749-771 (2022). MSC: 65Mxx 65F10 65L05 65N22 65F15 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H.-W. Sun}, Numer. Algorithms 90, No. 2, 749--771 (2022; Zbl 07525419) Full Text: DOI
Gaudreault, Stéphane; Charron, Martin; Dallerit, Valentin; Tokman, Mayya High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid. (English) Zbl 07524789 J. Comput. Phys. 449, Article ID 110792, 29 p. (2022). MSC: 65Lxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{S. Gaudreault} et al., J. Comput. Phys. 449, Article ID 110792, 29 p. (2022; Zbl 07524789) Full Text: DOI arXiv
Vabishchevich, Petr N. Factorized schemes for first and second order evolution equations with fractional powers of operators. (English) Zbl 07516755 Comput. Methods Appl. Math. 22, No. 2, 493-510 (2022). MSC: 65Mxx 26A33 35R11 65F60 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Comput. Methods Appl. Math. 22, No. 2, 493--510 (2022; Zbl 07516755) Full Text: DOI
Noutsos, Dimitrios; Tachyridis, Grigorios Band-times-circulant preconditioners for non-symmetric Toeplitz systems. (English) Zbl 1498.65042 BIT 62, No. 2, 561-590 (2022). MSC: 65F08 65F10 15B05 15A18 PDFBibTeX XMLCite \textit{D. Noutsos} and \textit{G. Tachyridis}, BIT 62, No. 2, 561--590 (2022; Zbl 1498.65042) Full Text: DOI
Benzi, Michele; Simunec, Igor Rational Krylov methods for fractional diffusion problems on graphs. (English) Zbl 1494.65020 BIT 62, No. 2, 357-385 (2022). MSC: 65F60 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{I. Simunec}, BIT 62, No. 2, 357--385 (2022; Zbl 1494.65020) Full Text: DOI arXiv
Kumar, Ashim; Cardoso, João R.; Singh, Gurjinder Explicit solutions of the singular Yang-Baxter-like matrix equation and their numerical computation. (English) Zbl 07493759 Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022). MSC: 15A24 15A18 15A09 16T25 65F45 PDFBibTeX XMLCite \textit{A. Kumar} et al., Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022; Zbl 07493759) Full Text: DOI arXiv
Antoine, X.; Lorin, E. Generalized fractional algebraic linear system solvers. (English) Zbl 1487.65033 J. Sci. Comput. 91, No. 1, Paper No. 25, 30 p. (2022). MSC: 65F10 65N22 35R11 65F60 81Q05 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Sci. Comput. 91, No. 1, Paper No. 25, 30 p. (2022; Zbl 1487.65033) Full Text: DOI HAL
Li, Dongping; Yang, Siyu; Lan, Jiamei Efficient and accurate computation for the \(\varphi\)-functions arising from exponential integrators. (English) Zbl 1485.65050 Calcolo 59, No. 1, Paper No. 11, 24 p. (2022). MSC: 65F60 65L05 PDFBibTeX XMLCite \textit{D. Li} et al., Calcolo 59, No. 1, Paper No. 11, 24 p. (2022; Zbl 1485.65050) Full Text: DOI arXiv
Vabishchevich, Petr N. Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. (English) Zbl 1524.65405 J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022). MSC: 65M06 26A33 35R11 65F60 65D32 35B45 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022; Zbl 1524.65405) Full Text: DOI arXiv
Zhao, Di; Ringh, Axel; Qiu, Li; Khong, Sei Zhen Low phase-rank approximation. (English) Zbl 1498.15025 Linear Algebra Appl. 639, 177-204 (2022). Reviewer: Maria Graça (Lisboa) MSC: 15A45 15A60 15B48 65F55 47A58 53C22 PDFBibTeX XMLCite \textit{D. Zhao} et al., Linear Algebra Appl. 639, 177--204 (2022; Zbl 1498.15025) Full Text: DOI arXiv
Cortinovis, Alice; Kressner, Daniel; Massei, Stefano Divide-and-conquer methods for functions of matrices with banded or hierarchical low-rank structure. (English) Zbl 1482.65071 SIAM J. Matrix Anal. Appl. 43, No. 1, 151-177 (2022). MSC: 65F60 65F50 PDFBibTeX XMLCite \textit{A. Cortinovis} et al., SIAM J. Matrix Anal. Appl. 43, No. 1, 151--177 (2022; Zbl 1482.65071) Full Text: DOI arXiv
Zhang, Yuze; Li, Yiteng; Zhang, Lei; Sun, Shuyu Construction of a minimum energy path for the VT flash model by the string method coupled with the exponential time differencing scheme. (English) Zbl 1487.65125 Commun. Comput. Phys. 30, No. 5, 1529-1544 (2021). MSC: 65M06 49M41 76T06 35Q35 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Comput. Phys. 30, No. 5, 1529--1544 (2021; Zbl 1487.65125) Full Text: DOI
Ramezani, Zohreh; Toutounian, Faezeh Augmented and deflated CMRH method for solving nonsymmetric linear systems. (English) Zbl 1499.65120 J. Math. Model. 9, No. 2, 239-256 (2021). MSC: 65F10 PDFBibTeX XMLCite \textit{Z. Ramezani} and \textit{F. Toutounian}, J. Math. Model. 9, No. 2, 239--256 (2021; Zbl 1499.65120) Full Text: DOI
Wu, Feng; Zhang, Kailing; Zhu, Li; Hu, Jiayao High-performance computation of the exponential of a large sparse matrix. (English) Zbl 1480.65104 SIAM J. Matrix Anal. Appl. 42, No. 4, 1636-1655 (2021). MSC: 65F60 65F50 15A16 15A60 05C82 PDFBibTeX XMLCite \textit{F. Wu} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1636--1655 (2021; Zbl 1480.65104) Full Text: DOI arXiv
Miao, Yun; Qi, Liqun; Wei, Yimin T-Jordan canonical form and T-Drazin inverse based on the T-product. (English) Zbl 1476.15045 Commun. Appl. Math. Comput. 3, No. 2, 201-220 (2021). MSC: 15A69 15A21 15A09 65F10 PDFBibTeX XMLCite \textit{Y. Miao} et al., Commun. Appl. Math. Comput. 3, No. 2, 201--220 (2021; Zbl 1476.15045) Full Text: DOI arXiv
Botchev, Mike A.; Knizhnerman, Leonid; Tyrtyshnikov, Eugene E. Residual and restarting in Krylov subspace evaluation of the \(\varphi\) function. (English) Zbl 1491.65032 SIAM J. Sci. Comput. 43, No. 6, A3733-A3759 (2021). MSC: 65F60 15A16 65L05 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., SIAM J. Sci. Comput. 43, No. 6, A3733--A3759 (2021; Zbl 1491.65032) Full Text: DOI arXiv
Stanimirović, Predrag S.; Katsikis, Vasilios N.; Jin, Long; Mosić, Dijana Properties and computation of continuous-time solutions to linear systems. (English) Zbl 1510.65062 Appl. Math. Comput. 405, Article ID 126242, 16 p. (2021). MSC: 65F10 15A06 15A09 65F45 68Q06 PDFBibTeX XMLCite \textit{P. S. Stanimirović} et al., Appl. Math. Comput. 405, Article ID 126242, 16 p. (2021; Zbl 1510.65062) Full Text: DOI
Cipolla, Stefano; Donatelli, Marco; Durastante, Fabio Regularization of inverse problems by an approximate matrix-function technique. (English) Zbl 1490.65067 Numer. Algorithms 88, No. 3, 1275-1308 (2021). MSC: 65F22 PDFBibTeX XMLCite \textit{S. Cipolla} et al., Numer. Algorithms 88, No. 3, 1275--1308 (2021; Zbl 1490.65067) Full Text: DOI
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. (English) Zbl 07398755 SIAM J. Matrix Anal. Appl. 42, No. 3, 1290-1318 (2021). MSC: 65F50 65F60 05C12 05C15 15A16 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1290--1318 (2021; Zbl 07398755) Full Text: DOI arXiv
Bergermann, Kai; Stoll, Martin; Volkmer, Toni Semi-supervised learning for aggregated multilayer graphs using diffuse interface methods and fast matrix-vector products. (English) Zbl 07394790 SIAM J. Math. Data Sci. 3, No. 2, 758-785 (2021). MSC: 68T05 68R10 05C50 65F15 65T50 62H30 PDFBibTeX XMLCite \textit{K. Bergermann} et al., SIAM J. Math. Data Sci. 3, No. 2, 758--785 (2021; Zbl 07394790) Full Text: DOI arXiv
Maset, Stefano Relative error analysis of matrix exponential approximations for numerical integration. (English) Zbl 1473.65052 J. Numer. Math. 29, No. 2, 119-158 (2021). MSC: 65F60 65L05 65L06 65L20 65L70 PDFBibTeX XMLCite \textit{S. Maset}, J. Numer. Math. 29, No. 2, 119--158 (2021; Zbl 1473.65052) Full Text: DOI
Gawlik, Evan S. Rational minimax iterations for computing the matrix \(p\)th root. (English) Zbl 1510.65079 Constr. Approx. 54, No. 1, 1-34 (2021). MSC: 65F45 65F60 41A20 49K35 PDFBibTeX XMLCite \textit{E. S. Gawlik}, Constr. Approx. 54, No. 1, 1--34 (2021; Zbl 1510.65079) Full Text: DOI arXiv
Roelfs, Martin; Dudal, David; Huybrechs, Daan Quaternionic step derivative: machine precision differentiation of holomorphic functions using complex quaternions. (English) Zbl 1472.65035 J. Comput. Appl. Math. 398, Article ID 113699, 14 p. (2021). MSC: 65E05 65D25 PDFBibTeX XMLCite \textit{M. Roelfs} et al., J. Comput. Appl. Math. 398, Article ID 113699, 14 p. (2021; Zbl 1472.65035) Full Text: DOI arXiv Link
Botchev, M. A. An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices. (English. Russian original) Zbl 1469.65087 Comput. Math. Math. Phys. 61, No. 5, 684-698 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706-722 (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{M. A. Botchev}, Comput. Math. Math. Phys. 61, No. 5, 684--698 (2021; Zbl 1469.65087); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706--722 (2021) Full Text: DOI arXiv
Chow, Kevin; Ruuth, Steven J. Linearly stabilized schemes for the time integration of stiff nonlinear PDEs. (English) Zbl 1484.65177 J. Sci. Comput. 87, No. 3, Paper No. 95, 29 p. (2021). Reviewer: Michael Plum (Karlsruhe) MSC: 65M06 65M12 65L05 65L06 PDFBibTeX XMLCite \textit{K. Chow} and \textit{S. J. Ruuth}, J. Sci. Comput. 87, No. 3, Paper No. 95, 29 p. (2021; Zbl 1484.65177) Full Text: DOI arXiv Link
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes. (English) Zbl 1465.35081 SIAM Rev. 63, No. 2, 317-359 (2021). MSC: 35B50 35K58 65M12 65R20 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM Rev. 63, No. 2, 317--359 (2021; Zbl 1465.35081) Full Text: DOI arXiv
Benzi, Michele Some uses of the field of values in numerical analysis. (English) Zbl 1470.65084 Boll. Unione Mat. Ital. 14, No. 1, 159-177 (2021). MSC: 65F99 65F10 65F60 PDFBibTeX XMLCite \textit{M. Benzi}, Boll. Unione Mat. Ital. 14, No. 1, 159--177 (2021; Zbl 1470.65084) Full Text: DOI
Jia, Zhongxiao; Wang, Fa The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. (English) Zbl 1462.90083 SIAM J. Optim. 31, No. 1, 887-914 (2021). MSC: 90C20 90C30 65K05 65F10 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{F. Wang}, SIAM J. Optim. 31, No. 1, 887--914 (2021; Zbl 1462.90083) Full Text: DOI arXiv
Chen, Hao; Sun, Hai-Wei A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. (English) Zbl 1466.65099 J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65N06 65F10 65F15 65L05 65F60 65M15 15B05 35Q53 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H.-W. Sun}, J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021; Zbl 1466.65099) Full Text: DOI
Vabishchevich, P. N. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. (English) Zbl 1466.65166 J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021). MSC: 65N06 35J25 35R11 65F60 65D32 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021; Zbl 1466.65166) Full Text: DOI arXiv
Luan, Vu Thai; Michels, Dominik L. Efficient exponential time integration for simulating nonlinear coupled oscillators. (English) Zbl 1471.65082 J. Comput. Appl. Math. 391, Article ID 113429, 18 p. (2021). MSC: 65L06 65L70 PDFBibTeX XMLCite \textit{V. T. Luan} and \textit{D. L. Michels}, J. Comput. Appl. Math. 391, Article ID 113429, 18 p. (2021; Zbl 1471.65082) Full Text: DOI
Liu, Hai-Feng Frame completion with prescribed norms via alternating projection method. (English) Zbl 1464.42027 Appl. Numer. Math. 164, 161-174 (2021). Reviewer: Rosario Corso (Palermo) MSC: 42C15 65Kxx 47Hxx PDFBibTeX XMLCite \textit{H.-F. Liu}, Appl. Numer. Math. 164, 161--174 (2021; Zbl 1464.42027) Full Text: DOI
Chen, Pengwen; Cheng, Chung-Kuan; Wang, Xinyuan Arnoldi algorithms with structured orthogonalization. (English) Zbl 1520.65028 SIAM J. Numer. Anal. 59, No. 1, 370-400 (2021). Reviewer: Raffaella Pavani (Milano) MSC: 65F60 34A09 65L80 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM J. Numer. Anal. 59, No. 1, 370--400 (2021; Zbl 1520.65028) Full Text: DOI arXiv
Al Mugahwi, Mohammed; De la Cruz Cabrera, Omar; Noschese, Silvia; Reichel, Lothar Functions and eigenvectors of partially known matrices with applications to network analysis. (English) Zbl 1459.65046 Appl. Numer. Math. 159, 93-105 (2021). MSC: 65F15 15A18 15A16 65F55 PDFBibTeX XMLCite \textit{M. Al Mugahwi} et al., Appl. Numer. Math. 159, 93--105 (2021; Zbl 1459.65046) Full Text: DOI arXiv
Li, Dongping; Zhang, Xiuying; Liu, Renyun Exponential integrators for large-scale stiff Riccati differential equations. (English) Zbl 1459.65100 J. Comput. Appl. Math. 389, Article ID 113360, 18 p. (2021). MSC: 65L04 65L05 65F55 65F60 PDFBibTeX XMLCite \textit{D. Li} et al., J. Comput. Appl. Math. 389, Article ID 113360, 18 p. (2021; Zbl 1459.65100) Full Text: DOI
Soleymani, Fazlollah; Zhu, Shengfeng RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function. (English) Zbl 1524.91150 Comput. Math. Appl. 82, 161-178 (2021). MSC: 91G60 65M06 65M70 45K05 91G20 PDFBibTeX XMLCite \textit{F. Soleymani} and \textit{S. Zhu}, Comput. Math. Appl. 82, 161--178 (2021; Zbl 1524.91150) Full Text: DOI
Pan, Mingyang; Wang, Qinghe; He, Dongdong; Pan, Kejia Positive-definiteness preserving and energy stable time-marching scheme for a diffusive Oldroyd-B electrohydrodynamic model. (English) Zbl 1455.76130 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105630, 19 p. (2021). MSC: 76M20 76A10 76W05 65M12 PDFBibTeX XMLCite \textit{M. Pan} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105630, 19 p. (2021; Zbl 1455.76130) Full Text: DOI
Rittich, Hannah; Speck, Robert Time-parallel simulation of the Schrödinger equation. (English) Zbl 1523.81005 Comput. Phys. Commun. 255, Article ID 107363, 13 p. (2020). MSC: 81-10 81Q05 65M60 65Y05 PDFBibTeX XMLCite \textit{H. Rittich} and \textit{R. Speck}, Comput. Phys. Commun. 255, Article ID 107363, 13 p. (2020; Zbl 1523.81005) Full Text: DOI arXiv
Zhang, Lu; Sun, Hai-Wei Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method. (English) Zbl 1475.65054 J. Appl. Math. Comput. 62, No. 1-2, 449-472 (2020). MSC: 65L06 65N22 65F10 65F15 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{H.-W. Sun}, J. Appl. Math. Comput. 62, No. 1--2, 449--472 (2020; Zbl 1475.65054) Full Text: DOI
Zeilmann, Alexander; Savarino, Fabrizio; Petra, Stefania; Schnörr, Christoph Geometric numerical integration of the assignment flow. (English) Zbl 1490.65139 Inverse Probl. 36, No. 3, Article ID 034003, 33 p. (2020). MSC: 65L05 62H35 65F10 65L06 68T05 94A08 PDFBibTeX XMLCite \textit{A. Zeilmann} et al., Inverse Probl. 36, No. 3, Article ID 034003, 33 p. (2020; Zbl 1490.65139) Full Text: DOI arXiv
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar A survey on numerical methods for spectral space-fractional diffusion problems. (English) Zbl 1474.65438 Fract. Calc. Appl. Anal. 23, No. 6, 1605-1646 (2020). MSC: 65N30 35R11 65N06 65F50 26A33 PDFBibTeX XMLCite \textit{S. Harizanov} et al., Fract. Calc. Appl. Anal. 23, No. 6, 1605--1646 (2020; Zbl 1474.65438) Full Text: DOI arXiv
Belyayev, Yuriy N. Method for calculating multiwave scattering by layered anisotropic media. (English) Zbl 1524.74464 Wave Motion 99, Article ID 102664, 21 p. (2020). MSC: 74S99 65F60 15A16 74J20 78A45 PDFBibTeX XMLCite \textit{Y. N. Belyayev}, Wave Motion 99, Article ID 102664, 21 p. (2020; Zbl 1524.74464) Full Text: DOI
Zimmermann, Ralf Hermite interpolation and data processing errors on Riemannian matrix manifolds. (English) Zbl 1452.65085 SIAM J. Sci. Comput. 42, No. 5, A2593-A2619 (2020). MSC: 65F60 15A16 41A05 53-08 PDFBibTeX XMLCite \textit{R. Zimmermann}, SIAM J. Sci. Comput. 42, No. 5, A2593--A2619 (2020; Zbl 1452.65085) Full Text: DOI arXiv
Li, Yu; Cao, Yang; Fan, Yan Generalized Mittag-Leffler quadrature methods for fractional differential equations. (English) Zbl 1463.65205 Comput. Appl. Math. 39, No. 3, Paper No. 215, 16 p. (2020). MSC: 65L05 34A08 65L20 PDFBibTeX XMLCite \textit{Y. Li} et al., Comput. Appl. Math. 39, No. 3, Paper No. 215, 16 p. (2020; Zbl 1463.65205) Full Text: DOI
Acebrón, Juan A.; Herrero, José R.; Monteiro, José A highly parallel algorithm for computing the action of a matrix exponential on a vector based on a multilevel Monte Carlo method. (English) Zbl 1451.65056 Comput. Math. Appl. 79, No. 12, 3495-3515 (2020). MSC: 65F60 65Y05 65C05 PDFBibTeX XMLCite \textit{J. A. Acebrón} et al., Comput. Math. Appl. 79, No. 12, 3495--3515 (2020; Zbl 1451.65056) Full Text: DOI arXiv
Bentbib, A. H.; El Ghomari, M.; Jbilou, K. Extended nonsymmetric global Lanczos method for matrix function approximation. (English) Zbl 1451.65057 Numer. Algorithms 84, No. 4, 1459-1479 (2020). MSC: 65F60 15A16 15A63 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Numer. Algorithms 84, No. 4, 1459--1479 (2020; Zbl 1451.65057) Full Text: DOI
Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar Iterative algorithms for the post-processing of high-dimensional data. (English) Zbl 1436.65054 J. Comput. Phys. 410, Article ID 109396, 22 p. (2020). MSC: 65F55 65N06 15A69 PDFBibTeX XMLCite \textit{M. Espig} et al., J. Comput. Phys. 410, Article ID 109396, 22 p. (2020; Zbl 1436.65054) Full Text: DOI arXiv
Shi, Wenya; Luo, Youwei; Wu, Gang On general matrix exponential discriminant analysis methods for high dimensionality reduction. (English) Zbl 1442.65077 Calcolo 57, No. 2, Paper No. 18, 34 p. (2020). MSC: 65F55 65F15 65F10 94A08 PDFBibTeX XMLCite \textit{W. Shi} et al., Calcolo 57, No. 2, Paper No. 18, 34 p. (2020; Zbl 1442.65077) Full Text: DOI
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 1442.65340 J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020). MSC: 65N22 65L06 65F15 65F08 26A33 35R11 35Q56 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020; Zbl 1442.65340) Full Text: DOI
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B. Block Krylov subspace methods for functions of matrices. II: Modified block FOM. (English) Zbl 1441.65051 SIAM J. Matrix Anal. Appl. 41, No. 2, 804-837 (2020). MSC: 65F60 65F50 65F55 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 804--837 (2020; Zbl 1441.65051) Full Text: DOI
Soleymani, Fazlollah; Akgül, Ali European option valuation under the Bates PIDE in finance: a numerical implementation of the Gaussian scheme. (English) Zbl 1437.91456 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 889-909 (2020). MSC: 91G60 65M06 91G20 PDFBibTeX XMLCite \textit{F. Soleymani} and \textit{A. Akgül}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 889--909 (2020; Zbl 1437.91456) Full Text: DOI
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. (English) Zbl 1434.65033 ETNA, Electron. Trans. Numer. Anal. 53, 113-216 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F15 15B05 65N06 65N30 65N25 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 53, 113--216 (2020; Zbl 1434.65033) Full Text: DOI Link
Acebrón, Juan A. A probabilistic linear solver based on a multilevel Monte Carlo method. (English) Zbl 1527.65001 J. Sci. Comput. 82, No. 3, Paper No. 65, 22 p. (2020). MSC: 65C05 65F99 65Y05 PDFBibTeX XMLCite \textit{J. A. Acebrón}, J. Sci. Comput. 82, No. 3, Paper No. 65, 22 p. (2020; Zbl 1527.65001) Full Text: DOI Link
Čiegis, Raimondas; Vabishchevich, Petr N. High order numerical schemes for solving fractional powers of elliptic operators. (English) Zbl 1440.65085 J. Comput. Appl. Math. 372, Article ID 112627, 17 p. (2020). MSC: 65M06 65N30 65M12 26A33 35R11 65F60 PDFBibTeX XMLCite \textit{R. Čiegis} and \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 372, Article ID 112627, 17 p. (2020; Zbl 1440.65085) Full Text: DOI arXiv
Hached, M.; Jbilou, K. Numerical methods for differential linear matrix equations via Krylov subspace methods. (English) Zbl 1493.65078 J. Comput. Appl. Math. 370, Article ID 112674, 12 p. (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Hached} and \textit{K. Jbilou}, J. Comput. Appl. Math. 370, Article ID 112674, 12 p. (2020; Zbl 1493.65078) Full Text: DOI arXiv
Ackerer, Damien; Filipović, Damir Linear credit risk models. (English) Zbl 1445.91066 Finance Stoch. 24, No. 1, 169-214 (2020). Reviewer: John O’Hara (Colchester) MSC: 91G40 91G20 91G60 62P05 62N02 PDFBibTeX XMLCite \textit{D. Ackerer} and \textit{D. Filipović}, Finance Stoch. 24, No. 1, 169--214 (2020; Zbl 1445.91066) Full Text: DOI arXiv
Bertaccini, D.; Popolizio, M.; Durastante, F. Efficient approximation of functions of some large matrices by partial fraction expansions. (English) Zbl 1499.65156 Int. J. Comput. Math. 96, No. 9, 1799-1817 (2019). MSC: 65F60 65F08 15A23 PDFBibTeX XMLCite \textit{D. Bertaccini} et al., Int. J. Comput. Math. 96, No. 9, 1799--1817 (2019; Zbl 1499.65156) Full Text: DOI arXiv
Li, Xiao; Ju, Lili; Meng, Xucheng Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation. (English) Zbl 1483.65141 Commun. Comput. Phys. 26, No. 5, 1510-1529 (2019). MSC: 65M06 65N06 65L05 65L06 35K35 35K59 65M12 65M15 PDFBibTeX XMLCite \textit{X. Li} et al., Commun. Comput. Phys. 26, No. 5, 1510--1529 (2019; Zbl 1483.65141) Full Text: DOI
Richters, Dorothee; Lass, Michael; Walther, Andrea; Plessl, Christian; Kühne, Thomas D. A general algorithm to calculate the inverse principal \(p\)-th root of symmetric positive definite matrices. (English) Zbl 07417508 Commun. Comput. Phys. 25, No. 2, 564-585 (2019). MSC: 65F25 65F50 65F60 65N25 PDFBibTeX XMLCite \textit{D. Richters} et al., Commun. Comput. Phys. 25, No. 2, 564--585 (2019; Zbl 07417508) Full Text: DOI arXiv
Soleymani, Fazlollah; Akgül, Ali Improved numerical solution of multi-asset option pricing problem: a localized RBF-FD approach. (English) Zbl 1448.91311 Chaos Solitons Fractals 119, 298-309 (2019). MSC: 91G30 65M20 65L04 PDFBibTeX XMLCite \textit{F. Soleymani} and \textit{A. Akgül}, Chaos Solitons Fractals 119, 298--309 (2019; Zbl 1448.91311) Full Text: DOI
Behr, Maximilian; Benner, Peter; Heiland, Jan Solution formulas for differential Sylvester and Lyapunov equations. (English) Zbl 1432.15015 Calcolo 56, No. 4, Paper No. 51, 33 p. (2019). MSC: 15A24 65F45 PDFBibTeX XMLCite \textit{M. Behr} et al., Calcolo 56, No. 4, Paper No. 51, 33 p. (2019; Zbl 1432.15015) Full Text: DOI arXiv
Nakano, Kosuke; Kemmochi, Tomoya; Miyatake, Yuto; Sogabe, Tomohiro; Zhang, Shao-Liang Modified Strang splitting for semilinear parabolic problems. (English) Zbl 1434.65130 JSIAM Lett. 11, 77-80 (2019). MSC: 65M06 65L06 65L05 35K58 35Q53 PDFBibTeX XMLCite \textit{K. Nakano} et al., JSIAM Lett. 11, 77--80 (2019; Zbl 1434.65130) Full Text: DOI arXiv
Acebrón, Juan A. A Monte Carlo method for computing the action of a matrix exponential on a vector. (English) Zbl 1433.65087 Appl. Math. Comput. 362, Article ID 124545, 13 p. (2019). MSC: 65F60 15A16 65C05 65Y05 PDFBibTeX XMLCite \textit{J. A. Acebrón}, Appl. Math. Comput. 362, Article ID 124545, 13 p. (2019; Zbl 1433.65087) Full Text: DOI arXiv Link
Miyajima, Shinya Robust verification algorithm for stabilizing solutions of discrete-time algebraic Riccati equations. (English) Zbl 1437.65025 Japan J. Ind. Appl. Math. 36, No. 3, 763-776 (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{S. Miyajima}, Japan J. Ind. Appl. Math. 36, No. 3, 763--776 (2019; Zbl 1437.65025) Full Text: DOI
Guo, Chun-Hua Explicit convergence regions of Newton’s method and Chebyshev’s method for the matrix \(p\)th root. (English) Zbl 1437.65043 Linear Algebra Appl. 583, 63-76 (2019). MSC: 65H10 65F10 PDFBibTeX XMLCite \textit{C.-H. Guo}, Linear Algebra Appl. 583, 63--76 (2019; Zbl 1437.65043) Full Text: DOI
Leok, Melvin Variational discretizations of gauge field theories using group-equivariant interpolation. (English) Zbl 1437.37110 Found. Comput. Math. 19, No. 5, 965-989 (2019). MSC: 37M15 65P10 65D05 70S15 PDFBibTeX XMLCite \textit{M. Leok}, Found. Comput. Math. 19, No. 5, 965--989 (2019; Zbl 1437.37110) Full Text: DOI
Soleymani, Fazlollah; Kumar, Ashim A fourth-order method for computing the sign function of a matrix with application in the Yang-Baxter-like matrix equation. (English) Zbl 1438.65090 Comput. Appl. Math. 38, No. 2, Paper No. 64, 12 p. (2019). MSC: 65F60 15A24 65F45 PDFBibTeX XMLCite \textit{F. Soleymani} and \textit{A. Kumar}, Comput. Appl. Math. 38, No. 2, Paper No. 64, 12 p. (2019; Zbl 1438.65090) Full Text: DOI
Brezinski, Claude; Redivo-Zaglia, Michela Matrix Shanks transformations. (English) Zbl 1431.65002 Electron. J. Linear Algebra 35, 248-265 (2019). MSC: 65B05 65F60 41A21 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Electron. J. Linear Algebra 35, 248--265 (2019; Zbl 1431.65002) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano Block GLT sequences: matrix functions and engineering application. (English) Zbl 1436.15033 Electron. J. Linear Algebra 35, 204-222 (2019). Reviewer: Giovanni Barbarino (Pisa) MSC: 15B05 15A18 65F60 65N25 65N30 65D07 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Electron. J. Linear Algebra 35, 204--222 (2019; Zbl 1436.15033) Full Text: DOI
Ramezani, Z.; Toutounian, F. Extended and rational Hessenberg methods for the evaluation of matrix functions. (English) Zbl 07074125 BIT 59, No. 2, 523-545 (2019). MSC: 65F10 PDFBibTeX XMLCite \textit{Z. Ramezani} and \textit{F. Toutounian}, BIT 59, No. 2, 523--545 (2019; Zbl 07074125) Full Text: DOI
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. (English) Zbl 1415.65151 J. Comput. Appl. Math. 356, 339-357 (2019). MSC: 65L05 65L20 65M12 PDFBibTeX XMLCite \textit{W. Auzinger} et al., J. Comput. Appl. Math. 356, 339--357 (2019; Zbl 1415.65151) Full Text: DOI arXiv
Bini, Dario A.; Massei, Stefano; Robol, Leonardo Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. (English) Zbl 1434.65324 Numer. Algorithms 81, No. 2, 741-769 (2019). MSC: 65Y15 15B05 65F60 65F45 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Algorithms 81, No. 2, 741--769 (2019; Zbl 1434.65324) Full Text: DOI arXiv
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. (English) Zbl 1419.65018 SIAM J. Numer. Anal. 57, No. 2, 875-898 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M06 65M12 65M15 65R20 35Q99 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 57, No. 2, 875--898 (2019; Zbl 1419.65018) Full Text: DOI arXiv