Schlüchtermann, Georg; Wibmer, Michael Numerical solution of free stochastic differential equations. (English) Zbl 07770180 SIAM J. Numer. Anal. 61, No. 6, 2623-2650 (2023). MSC: 65C30 46L53 46L54 60H10 PDFBibTeX XMLCite \textit{G. Schlüchtermann} and \textit{M. Wibmer}, SIAM J. Numer. Anal. 61, No. 6, 2623--2650 (2023; Zbl 07770180) Full Text: DOI arXiv
Komori, Yoshio; Burrage, Kevin Split S-ROCK methods for high-dimensional stochastic differential equations. (English) Zbl 07766132 J. Sci. Comput. 97, No. 3, Paper No. 62, 24 p. (2023). MSC: 60H10 65L05 65L06 PDFBibTeX XMLCite \textit{Y. Komori} and \textit{K. Burrage}, J. Sci. Comput. 97, No. 3, Paper No. 62, 24 p. (2023; Zbl 07766132) Full Text: DOI
Jorgensen, Palle; Tian, James Noncommutative boundaries arising in dynamics and representations of the Cuntz relations. (English) Zbl 1443.47086 Numer. Funct. Anal. Optim. 41, No. 5, 571-620 (2020). MSC: 47L60 46N30 81S25 81R15 81T05 81T75 60D05 60G15 60J25 65R10 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{J. Tian}, Numer. Funct. Anal. Optim. 41, No. 5, 571--620 (2020; Zbl 1443.47086) Full Text: DOI
Carley, Holly K.; Kiessling, Michael K.-H.; Perlick, Volker On the Schrödinger spectrum of a Hydrogen atom with electrostatic Bopp-Landé-Thomas-Podolsky interaction between electron and proton. (English) Zbl 1471.81112 Int. J. Mod. Phys. A 34, No. 26, Article ID 1950146, 20 p. (2019). MSC: 81V45 81Q10 81V10 35P15 65D20 81R60 PDFBibTeX XMLCite \textit{H. K. Carley} et al., Int. J. Mod. Phys. A 34, No. 26, Article ID 1950146, 20 p. (2019; Zbl 1471.81112) Full Text: DOI arXiv
Gribling, Sander; de Laat, David; Laurent, Monique Lower bounds on matrix factorization ranks via noncommutative polynomial optimization. (English) Zbl 07118503 Found. Comput. Math. 19, No. 5, 1013-1070 (2019). MSC: 65-XX 68-XX 90C22 15A23 PDFBibTeX XMLCite \textit{S. Gribling} et al., Found. Comput. Math. 19, No. 5, 1013--1070 (2019; Zbl 07118503) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Reflection positivity, duality, and spectral theory. (English) Zbl 1525.47130 J. Appl. Math. Comput. 59, No. 1-2, 361-404 (2019). MSC: 47L60 46N30 81S25 81R15 81T05 81T75 60J25 65R10 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, J. Appl. Math. Comput. 59, No. 1--2, 361--404 (2019; Zbl 1525.47130) Full Text: DOI arXiv
Blasco, X.; Reynoso-Meza, G.; Sánchez-Pérez, E. A.; Sánchez-Pérez, J. V. Computing optimal distances to Pareto sets of multi-objective optimization problems in asymmetric normed lattices. (English) Zbl 1482.47150 Acta Appl. Math. 159, 75-93 (2019). MSC: 47N10 46B85 46L85 90C29 65K05 PDFBibTeX XMLCite \textit{X. Blasco} et al., Acta Appl. Math. 159, 75--93 (2019; Zbl 1482.47150) Full Text: DOI
Deundyak, V. M.; Leonov, D. A. Fourier method for solving two-sided convolution equations on finite noncommutative groups. (English. Russian original) Zbl 07002019 Comput. Math. Math. Phys. 58, No. 10, 1562-1572 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018). MSC: 65-XX 22E40 44A35 PDFBibTeX XMLCite \textit{V. M. Deundyak} and \textit{D. A. Leonov}, Comput. Math. Math. Phys. 58, No. 10, 1562--1572 (2018; Zbl 07002019); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018) Full Text: DOI
Jorgensen, Palle; Tian, Feng Martin boundaries of representations of the Cuntz algebra. arXiv:1805.06063 Preprint, arXiv:1805.06063 [math.FA] (2018). MSC: 47L60 46N30 81S25 81R15 81T05 81T75 60D05 60G15 60J25 65R10 58J65 BibTeX Cite \textit{P. Jorgensen} and \textit{F. Tian}, ``Martin boundaries of representations of the Cuntz algebra'', Preprint, arXiv:1805.06063 [math.FA] (2018) Full Text: arXiv OA License
Komori, Yoshio; Cohen, David; Burrage, Kevin Weak second order explicit exponential Runge-Kutta methods for stochastic differential equations. (English) Zbl 1387.65064 SIAM J. Sci. Comput. 39, No. 6, A2857-A2878 (2017). MSC: 65L05 65L06 60H10 PDFBibTeX XMLCite \textit{Y. Komori} et al., SIAM J. Sci. Comput. 39, No. 6, A2857--A2878 (2017; Zbl 1387.65064) Full Text: DOI
Ariznabarreta, Gerardo; Mañas, Manuel Multivariate orthogonal polynomials and integrable systems. (English) Zbl 1350.15002 Adv. Math. 302, 628-739 (2016). MSC: 15A23 42C05 65F05 37K10 37L60 46L55 PDFBibTeX XMLCite \textit{G. Ariznabarreta} and \textit{M. Mañas}, Adv. Math. 302, 628--739 (2016; Zbl 1350.15002) Full Text: DOI arXiv
Barrett, John W.; Glaser, Lisa Monte Carlo simulations of random non-commutative geometries. (English) Zbl 1344.81111 J. Phys. A, Math. Theor. 49, No. 24, Article ID 245001, 27 p. (2016). MSC: 81R60 81Q05 35J10 65C05 81Q10 81R20 15A66 15B52 35R60 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{L. Glaser}, J. Phys. A, Math. Theor. 49, No. 24, Article ID 245001, 27 p. (2016; Zbl 1344.81111) Full Text: DOI arXiv Link
Jorgensen, Palle; Tian, Feng Induced representations arising from a character with finite orbit in a semidirect product. (English) Zbl 1328.47077 New York J. Math. 21, 783-800 (2015). MSC: 47L60 46N30 46N50 42C15 65R10 05C50 05C75 31C20 46N20 22E70 31A15 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, New York J. Math. 21, 783--800 (2015; Zbl 1328.47077) Full Text: arXiv EMIS
Chirikjian, Gregory S. Numerical harmonic analysis and diffusions on the 3D-motion group. (English) Zbl 1311.65173 Andrews, Travis D. (ed.) et al., Excursions in harmonic analysis. Volume 2. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006–2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8378-8/hbk; 978-0-8176-8379-5/ebook). Applied and Numerical Harmonic Analysis, 333-353 (2013). MSC: 65T40 43A99 92D20 PDFBibTeX XMLCite \textit{G. S. Chirikjian}, in: Excursions in harmonic analysis. Volume 2. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006--2011. New York, NY: Birkhäuser/Springer. 333--353 (2013; Zbl 1311.65173) Full Text: DOI
Kim, Dongjin; Stanescu, Dan Low-storage Runge-Kutta methods for stochastic differential equations. (English) Zbl 1157.65007 Appl. Numer. Math. 58, No. 10, 1479-1502 (2008). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 65C30 60H10 60H35 65L06 34F05 PDFBibTeX XMLCite \textit{D. Kim} and \textit{D. Stanescu}, Appl. Numer. Math. 58, No. 10, 1479--1502 (2008; Zbl 1157.65007) Full Text: DOI
Ayoola, E. O. Exponential formula for the reachable sets of quantum stochastic differential inclusions. (English) Zbl 1047.81048 Stochastic Anal. Appl. 21, No. 3, 515-543 (2003). MSC: 81S25 60H10 65C99 PDFBibTeX XMLCite \textit{E. O. Ayoola}, Stochastic Anal. Appl. 21, No. 3, 515--543 (2003; Zbl 1047.81048) Full Text: DOI
Ayoola, E. O. Lipschitzian quantum stochastic differential equations and the associated Kurzweil equations. (English) Zbl 0987.60072 Stochastic Anal. Appl. 19, No. 4, 581-603 (2001). MSC: 60H10 60H20 65L05 81S25 PDFBibTeX XMLCite \textit{E. O. Ayoola}, Stochastic Anal. Appl. 19, No. 4, 581--603 (2001; Zbl 0987.60072) Full Text: DOI
Ayoola, E. O. Construction of approximate attainability sets for Lipschitzian quantum stochastic differential inclusions. (English) Zbl 0985.60064 Stochastic Anal. Appl. 19, No. 3, 461-471 (2001). MSC: 60H10 60H20 65L05 81S25 PDFBibTeX XMLCite \textit{E. O. Ayoola}, Stochastic Anal. Appl. 19, No. 3, 461--471 (2001; Zbl 0985.60064) Full Text: DOI
Silbermann, B.; Hagen, R.; Roch, S. \(C^*\)-algebra techniques – A powerful tool in numerical analysis. (English) Zbl 0902.65087 Bach, Michael (ed.) et al., Analysis, numerics and applications of differential and integral equations. Dedication to Wolfgang L. Wendland on the occasion of his 60th birthday. Harlow: Addison Wesley Longman. Pitman Res. Notes Math. Ser. 379, 214-218 (1998). MSC: 65R20 46N40 46L89 45E05 35S10 PDFBibTeX XMLCite \textit{B. Silbermann} et al., Pitman Res. Notes Math. Ser. 379, 214--218 (1998; Zbl 0902.65087)
Castell, Fabienne; Gaines, Jessica The ordinary differential equation approach to asymptotically efficient schemes for solution of stochastic differential equations. (English) Zbl 0851.60054 Ann. Inst. Henri Poincaré, Probab. Stat. 32, No. 2, 231-250 (1996). MSC: 60H10 65F05 PDFBibTeX XMLCite \textit{F. Castell} and \textit{J. Gaines}, Ann. Inst. Henri Poincaré, Probab. Stat. 32, No. 2, 231--250 (1996; Zbl 0851.60054) Full Text: Numdam EuDML
Johnson, Rodney W.; McLoughlin, Aileen M. Noncommutative bilinear algorithms for 3\(\times 3\) matrix multiplication. (English) Zbl 0622.68037 SIAM J. Comput. 15, 595-603 (1986). Reviewer: M.Chytil MSC: 68Q25 65F30 15A99 68W30 68W99 PDFBibTeX XMLCite \textit{R. W. Johnson} and \textit{A. M. McLoughlin}, SIAM J. Comput. 15, 595--603 (1986; Zbl 0622.68037) Full Text: DOI
Makarov, O. M. A noncommutative algorithm for multiplying 5\(\times 5\) matrices using 102 multiplications. (English) Zbl 0614.65037 Inf. Process. Lett. 23, 115-117 (1986). Reviewer: L.Bakule MSC: 65F30 68Q25 PDFBibTeX XMLCite \textit{O. M. Makarov}, Inf. Process. Lett. 23, 115--117 (1986; Zbl 0614.65037) Full Text: DOI
Lamnabhi-Lagarrigue, F.; Lamnabhi, M. Algebraic computation of the statistics of the solution of some nonlinear stochastic differential equations. (English) Zbl 0544.65060 Computer algebra, EUROCAL ’83, Proc. Conf., London 1983, Lect. Notes Comput. Sci. 162, 55-67 (1983). Reviewer: M.D.Lax MSC: 65L99 60H10 34F05 PDFBibTeX XML
Kümmerer, Burkhard Markov dilations of completely positive operators on \(W^*\)-algebras. (English) Zbl 0543.46043 Dilation theory, Toeplitz operators, and other topics, 7th int. Conf. Oper. theory, Timişoara & Herculane/Rom. 1982, Oper. Theory, Adv. Appl. 11, 251-259 (1983). Reviewer: Gr.Arsene MSC: 46L55 47A20 46L30 65J05 PDFBibTeX XML
Kümmerer, B.; Schröder, W. A Markov dilation of a non-quasifree Bloch evolution. (English) Zbl 0543.46042 Commun. Math. Phys. 90, 251-262 (1983). Reviewer: Gr.Arsene MSC: 46L55 47A20 46L30 65J05 PDFBibTeX XMLCite \textit{B. Kümmerer} and \textit{W. Schröder}, Commun. Math. Phys. 90, 251--262 (1983; Zbl 0543.46042) Full Text: DOI
Lamnabhi-Lagarrigue, F.; Lamnabhi, M. Algebraic computation of the solution of some nonlinear differential equations. (English) Zbl 0549.34018 Computer algebra, EUROCAM ’82, Conf. Marseille/France 1982, Lect. Notes Comput. Sci. 144, 204-211 (1982). MSC: 65J99 68W30 34A05 34A34 PDFBibTeX XML
Mandl, Robert; Vari, Thomas Computational complexity of inner products of vectors (and that of other bilinear forms) over a non-commutative ring (auxiliary functions allowed). (English) Zbl 0294.68016 SIAM J. Comput. 4, 49-55 (1975). MSC: 68Q25 65F99 16-04 PDFBibTeX XMLCite \textit{R. Mandl} and \textit{T. Vari}, SIAM J. Comput. 4, 49--55 (1975; Zbl 0294.68016) Full Text: DOI