Burnett, Ben; Gottlieb, Sigal; Grant, Zachary J. Stability analysis and performance evaluation of additive mixed-precision Runge-Kutta methods. (English) Zbl 07846938 Commun. Appl. Math. Comput. 6, No. 1, 705-738 (2024). MSC: 65M12 35L60 PDFBibTeX XMLCite \textit{B. Burnett} et al., Commun. Appl. Math. Comput. 6, No. 1, 705--738 (2024; Zbl 07846938) Full Text: DOI arXiv
Dusson, Geneviève; Sigal, Israel Michael; Stamm, Benjamin Analysis of the Feshbach-Schur method for the Fourier spectral discretizations of Schrödinger operators. (English) Zbl 1502.65225 Math. Comput. 92, No. 339, 217-249 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N25 65N12 65N15 81Q05 35Q40 PDFBibTeX XMLCite \textit{G. Dusson} et al., Math. Comput. 92, No. 339, 217--249 (2023; Zbl 1502.65225) Full Text: DOI arXiv
DeCaria, Victor; Gottlieb, Sigal; Grant, Zachary J.; Layton, William J. A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD. (English) Zbl 07518071 J. Comput. Phys. 455, Article ID 110927, 26 p. (2022). MSC: 65Lxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{V. DeCaria} et al., J. Comput. Phys. 455, Article ID 110927, 26 p. (2022; Zbl 07518071) Full Text: DOI arXiv
Choi, Beomjun; Gao, Jianhui; Haslhofer, Robert; Sigal, Daniel Heat flow on time-dependent manifolds. (English) Zbl 1479.35509 J. Geom. Anal. 32, No. 1, Paper No. 11, 16 p. (2022). MSC: 35K15 35R01 53E20 58J35 PDFBibTeX XMLCite \textit{B. Choi} et al., J. Geom. Anal. 32, No. 1, Paper No. 11, 16 p. (2022; Zbl 1479.35509) Full Text: DOI arXiv
Dusson, Geneviève; Sigal, Israel Michael; Stamm, Benjamin The Feshbach-Schur map and perturbation theory. (English) Zbl 07438887 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 65-88 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47A55 35P15 81Q15 47A75 35J10 PDFBibTeX XMLCite \textit{G. Dusson} et al., in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 65--88 (2021; Zbl 07438887) Full Text: DOI arXiv
Burnett, Ben; Gottlieb, Sigal; Grant, Zachary J.; Heryudono, Alfa Performance Evaluation of Mixed-Precision Runge-Kutta Methods. arXiv:2107.03357 Preprint, arXiv:2107.03357 [math.NA] (2021). BibTeX Cite \textit{B. Burnett} et al., ``Performance Evaluation of Mixed-Precision Runge-Kutta Methods'', Preprint, arXiv:2107.03357 [math.NA] (2021) Full Text: arXiv OA License
Dong, Bo; Gottlieb, Sigal; Hristova, Yulia; Jiang, Yan; Wang, Haijin The effect of the sensitivity parameter in weighted essentially non-oscillatory methods. (English) Zbl 1384.65053 Brenner, Susanne C. (ed.), Topics in numerical partial differential equations and scientific computing. Based on the presentations at the 2nd IMA’s Women in Applied Mathematics, WhAM!, research collaboration workshop, Minneapolis, MN, USA, August 12–15, 2014. New York, NY: Springer (ISBN 978-1-4939-6398-0/hbk; 978-1-4939-6399-7/ebook). The IMA Volumes in Mathematics and its Applications 160, 23-50 (2016). MSC: 65M06 35L65 35L67 65M12 PDFBibTeX XMLCite \textit{B. Dong} et al., IMA Vol. Math. Appl. 160, 23--50 (2016; Zbl 1384.65053) Full Text: DOI
Jonsson, B. L. G.; Ovchinnikov, Yu. N.; Sigal, I. M.; Ting, Fridolin Sze Thou Dynamics of breakup of multiple vortices in Gross-Pitaevskii equations of superfluids. (English) Zbl 1272.35175 J. Math. Phys. 52, No. 9, 093505, 16 p. (2011). MSC: 35Q55 35Q56 82C22 82D50 76A25 76B47 PDFBibTeX XMLCite \textit{B. L. G. Jonsson} et al., J. Math. Phys. 52, No. 9, 093505, 16 p. (2011; Zbl 1272.35175) Full Text: DOI
Ketcheson, David I.; Gottlieb, Sigal; Macdonald, Colin B. Strong stability preserving two-step Runge-Kutta methods. (English) Zbl 1240.65278 SIAM J. Numer. Anal. 49, No. 6, 2618-2639 (2011). Reviewer: Fernando Casas (Castellon) MSC: 65M20 65L06 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., SIAM J. Numer. Anal. 49, No. 6, 2618--2639 (2011; Zbl 1240.65278) Full Text: DOI arXiv
Wright, Stephen E.; Sigal, Belle M.; Bailer, A. John Workweek optimization of experimental designs: exact designs for variable sampling costs. (English) Zbl 1306.62364 J. Agric. Biol. Environ. Stat. 15, No. 4, 491-509 (2010). MSC: 62P12 62K99 PDFBibTeX XMLCite \textit{S. E. Wright} et al., J. Agric. Biol. Environ. Stat. 15, No. 4, 491--509 (2010; Zbl 1306.62364) Full Text: DOI
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal Optimal implicit strong stability preserving Runge-Kutta methods. (English) Zbl 1157.65046 Appl. Numer. Math. 59, No. 2, 373-392 (2009). MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., Appl. Numer. Math. 59, No. 2, 373--392 (2009; Zbl 1157.65046) Full Text: DOI
Macdonald, Colin B.; Gottlieb, Sigal; Ruuth, Steven J. A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities. (English) Zbl 1203.65167 J. Sci. Comput. 36, No. 1, 89-112 (2008). MSC: 65M20 65L06 65L20 PDFBibTeX XMLCite \textit{C. B. Macdonald} et al., J. Sci. Comput. 36, No. 1, 89--112 (2008; Zbl 1203.65167) Full Text: DOI
Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael Long time motion of NLS solitary waves in a confining potential. (English) Zbl 1100.81019 Ann. Henri Poincaré 7, No. 4, 621-660 (2006). Reviewer: A. D. Osborne (Keele) MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{B. L. G. Jonsson} et al., Ann. Henri Poincaré 7, No. 4, 621--660 (2006; Zbl 1100.81019) Full Text: DOI arXiv Link
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. Solitary wave dynamics in an external potential. (English) Zbl 1075.35075 Commun. Math. Phys. 250, No. 3, 613-642 (2004). MSC: 35Q55 35Q51 37K25 37K40 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Commun. Math. Phys. 250, No. 3, 613--642 (2004; Zbl 1075.35075) Full Text: DOI arXiv
Shafie, K.; Sigal, B.; Siegmund, D.; Worsley, K. J. Rotation space random fields with an application to fMRI data. (English) Zbl 1043.92019 Ann. Stat. 31, No. 6, 1732-1771 (2003). Reviewer: Andrew Olenko (Kyïv) MSC: 92C55 62M40 60D05 52A22 PDFBibTeX XMLCite \textit{K. Shafie} et al., Ann. Stat. 31, No. 6, 1732--1771 (2003; Zbl 1043.92019) Full Text: DOI
Sigal, I. M.; Vasilijevic, B. Mathematical theory of quantum tunneling decay at positive temperature. (English) Zbl 1006.81009 Ann. Henri Poincaré 3, No. 2, 347-387 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 81Q05 35B34 82B35 81U99 81V70 PDFBibTeX XMLCite \textit{I. M. Sigal} and \textit{B. Vasilijevic}, Ann. Henri Poincaré 3, No. 2, 347--387 (2002; Zbl 1006.81009) Full Text: DOI
Ar, S.; Blum, M.; Codenotti, B.; Gemmell, P. Checking approximate computations over the reals. (English) Zbl 1310.65176 Proceedings of the 25th annual ACM symposium on theory of computing, STOC ’93. San Diego, CA, USA, May 16–18, 1993. New York, NY: Association for Computing Machinery (ACM) (ISBN 0-89791-591-7). 786-795 (1993). MSC: 65Y20 65Fxx 65G50 68Q25 PDFBibTeX XMLCite \textit{S. Ar} et al., in: Proceedings of the 25th annual ACM symposium on theory of computing, STOC '93. San Diego, CA, USA, May 16--18, 1993. New York, NY: Association for Computing Machinery (ACM). 786--795 (1993; Zbl 1310.65176) Full Text: DOI
Sigal, B. M. A forecasting problem for homogeneous and isotropic random fields. (English. Russian original) Zbl 0835.60047 Theory Probab. Math. Stat. 47, 139-146 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 139-146 (1992). MSC: 60G60 60G25 62M20 PDFBibTeX XMLCite \textit{B. M. Sigal}, Theory Probab. Math. Stat. 47, 1 (1992; Zbl 0835.60047); translation from Teor. Jmovirn. Mat. Stat. 47, 139--146 (1992)
Gustafson, Karl E. (ed.); Reinhardt, William P. (ed.) [Enss, V.; Simon, B.; Devinatz, A.; Rejto, P.; Sinha, K. B.; Sigal, I. M.; Brownell, F. H.; Gustafson, K.; Johanson, G.; Dolph, C. L.; Ramm, A. G.; Reinhardt, W. P.; Jaffe, C.; Shirts, R. B.; Schechter, M.; Weder, R.; Hartman, R. L.; Tadjeran, H.; Xia, D.; Seddighin, M.; Klink, W. H.; Ton-That, T.; Marchand, J.-P.; Schroeck, F. E.; Mercer, R.; Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R.; Misra, B.; Goodrich, R. K.; Jones, W. B.; Thron, W. J.; Howland, J. S.] Quantum mechanics in mathematics, chemistry, and physics. (Proceedings of a Special Session in Mathematical Physics organized as a part of the 774th Meeting of the American Mathematical Society, held March 27-29, 1980, in Boulder, Colorado). (English) Zbl 0489.46053 New York, London: Plenum Press. IX, 506 p. $ 59.50 (1981). MSC: 46N99 00Bxx 46L60 46-06 47L90 81-06 46L51 46L53 46L54 47A40 PDFBibTeX XML
Perry, P.; Sigal, I. M.; Simon, B. Spectral analysis of N-body Schrödinger operators. (English) Zbl 0477.35069 Ann. Math. (2) 114, 519-567 (1981). MSC: 35P05 35J10 81V70 PDFBibTeX XMLCite \textit{P. Perry} et al., Ann. Math. (2) 114, 519--567 (1981; Zbl 0477.35069) Full Text: DOI
Perry, P.; Sigal, I. M.; Simon, B. Absence of singular continuous spectrum in N-body quantum systems. (English) Zbl 0458.35072 Bull. Am. Math. Soc., New Ser. 3, 1019-1023 (1980). MSC: 35P05 81Q10 35J10 35P20 PDFBibTeX XMLCite \textit{P. Perry} et al., Bull. Am. Math. Soc., New Ser. 3, 1019--1023 (1980; Zbl 0458.35072) Full Text: DOI
Sigal, C. Elliott; Pritsker, A. Alan B.; Solberg, James J. The stochastic shortest route problem. (English) Zbl 0451.90091 Oper. Res. 28, 1122-1129 (1980). MSC: 90C15 90B10 90C90 90C35 PDFBibTeX XMLCite \textit{C. E. Sigal} et al., Oper. Res. 28, 1122--1129 (1980; Zbl 0451.90091) Full Text: DOI
Sigal, C. E.; Pritsker, A. A. B.; Solberg, J. J. The use of cutsets in Monte Carlo analysis of stochastic networks. (English) Zbl 0416.90030 Math. Comput. Simulation 21, 376-384 (1979). MSC: 90B15 65C05 90B25 PDFBibTeX XMLCite \textit{C. E. Sigal} et al., Math. Comput. Simul. 21, 376--384 (1979; Zbl 0416.90030) Full Text: DOI
Sigal, C. Elliott; Pritsker, A. Alan B. SMOOTH: A combined continuous-discrete network simulation language. (English) Zbl 0283.68078 Simulation 22, 65-73 (1974). MSC: 68U20 PDFBibTeX XML Full Text: DOI