Liu, Jun; Fu, Hongfei An efficient QSC approximation of variable-order time-fractional mobile-immobile diffusion equations with variably diffusive coefficients. (English) Zbl 1503.65265 J. Sci. Comput. 93, No. 2, Paper No. 44, 38 p. (2022). MSC: 65M70 65M06 65N35 65D07 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{J. Liu} and \textit{H. Fu}, J. Sci. Comput. 93, No. 2, Paper No. 44, 38 p. (2022; Zbl 1503.65265) Full Text: DOI
Stanisławski, Rafał; Rydel, Marek; Latawiec, Krzysztof J. Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems. (English) Zbl 1508.93049 Kulczycki, Piotr (ed.) et al., Fractional dynamical systems: methods, algorithms and applications. Cham: Springer. Stud. Syst. Decis. Control 402, 199-220 (2022). MSC: 93B11 93C55 93C05 26A33 PDFBibTeX XMLCite \textit{R. Stanisławski} et al., Stud. Syst. Decis. Control 402, 199--220 (2022; Zbl 1508.93049) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145 Appl. Numer. Math. 158, 271-291 (2020). MSC: 65M06 65N06 65M99 65M15 65M12 65D30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 158, 271--291 (2020; Zbl 1452.65145) Full Text: DOI
Beckermann, Bernhard; Townsend, Alex Bounds on the singular values of matrices with displacement structure. (English) Zbl 1441.15005 SIAM Rev. 61, No. 2, 319-344 (2019). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A18 15A60 15B48 26C15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Townsend}, SIAM Rev. 61, No. 2, 319--344 (2019; Zbl 1441.15005) Full Text: DOI
Beckermann, Bernhard; Townsend, Alex On the singular values of matrices with displacement structure. (English) Zbl 1386.15024 SIAM J. Matrix Anal. Appl. 38, No. 4, 1227-1248 (2017). MSC: 15A18 26C15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Townsend}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1227--1248 (2017; Zbl 1386.15024) Full Text: DOI arXiv Backlinks: MO
Stanisławski, Rafał; Rydel, Marek; Latawiec, Krzysztof J. Modeling of discrete-time fractional-order state space systems using the balanced truncation method. (English) Zbl 1364.93438 J. Franklin Inst. 354, No. 7, 3008-3020 (2017). MSC: 93C55 93C05 26A33 15A18 15A23 93B05 93B07 PDFBibTeX XMLCite \textit{R. Stanisławski} et al., J. Franklin Inst. 354, No. 7, 3008--3020 (2017; Zbl 1364.93438) Full Text: DOI
Strobach, Peter Solving cubics by polynomial fitting. (English) Zbl 1210.65099 J. Comput. Appl. Math. 235, No. 9, 3033-3052 (2011). MSC: 65H04 26C10 12D05 65D10 PDFBibTeX XMLCite \textit{P. Strobach}, J. Comput. Appl. Math. 235, No. 9, 3033--3052 (2011; Zbl 1210.65099) Full Text: DOI
Ilić, M.; Turner, I. W.; Anh, V. A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation. (English) Zbl 1162.65015 J. Appl. Math. Stochastic Anal. 2008, Article ID 104525, 26 p. (2008). MSC: 65F10 65F35 35J05 45K05 65R20 26A33 PDFBibTeX XMLCite \textit{M. Ilić} et al., J. Appl. Math. Stochastic Anal. 2008, Article ID 104525, 26 p. (2008; Zbl 1162.65015) Full Text: DOI EuDML
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y. Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. (English) Zbl 1072.65068 Numer. Math. 100, No. 3, 373-408 (2005). Reviewer: Constantin Popa (Constanta) MSC: 65H05 65F15 12Y05 30C15 26D10 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Math. 100, No. 3, 373--408 (2005; Zbl 1072.65068) Full Text: DOI
Neumaier, Arnold Enclosing clusters of zeros of polynomials. (English) Zbl 1029.65050 J. Comput. Appl. Math. 156, No. 2, 389-401 (2003). Reviewer: H.Ratschek (Düsseldorf) MSC: 65H05 65G30 26C10 12Y05 30C15 PDFBibTeX XMLCite \textit{A. Neumaier}, J. Comput. Appl. Math. 156, No. 2, 389--401 (2003; Zbl 1029.65050) Full Text: DOI
Ammar, G. S.; Calvetti, D.; Gragg, W. B.; Reichel, L. Polynomial zerofinders based on Szegő polynomials. (English) Zbl 0971.65042 J. Comput. Appl. Math. 127, No. 1-2, 1-16 (2001). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65H05 65Y05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{G. S. Ammar} et al., J. Comput. Appl. Math. 127, No. 1--2, 1--16 (2001; Zbl 0971.65042) Full Text: DOI