Blanes, Sergio; Iserles, Arieh; Macnamara, Shev Positivity-preserving methods for ordinary differential equations. (English) Zbl 1508.65079 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1843-1870 (2022). MSC: 65L05 65L04 65L06 65L20 65P10 PDFBibTeX XMLCite \textit{S. Blanes} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1843--1870 (2022; Zbl 1508.65079) Full Text: DOI arXiv
Burrage, Kevin; Burrage, Pamela; Macnamara, Shev Localization and pseudospectra of twisted Toeplitz matrices with applications to ion channels. (English) Zbl 1480.65080 SIAM J. Matrix Anal. Appl. 42, No. 4, 1656-1679 (2021). MSC: 65F15 65Z05 15B05 PDFBibTeX XMLCite \textit{K. Burrage} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1656--1679 (2021; Zbl 1480.65080) Full Text: DOI
Burrage, Kevin; Burrage, Pamela; MacNamara, Shev The reflectionless properties of Toeplitz waves and Hankel waves: an analysis via Bessel functions. (English) Zbl 1474.65419 Appl. Math. Comput. 389, Article ID 125576, 17 p. (2021). MSC: 65N06 15A60 65F99 65F60 33C10 15B05 PDFBibTeX XMLCite \textit{K. Burrage} et al., Appl. Math. Comput. 389, Article ID 125576, 17 p. (2021; Zbl 1474.65419) Full Text: DOI arXiv
Colbrook, Matthew J.; Botev, Zdravko I.; Kuritz, Karsten; MacNamara, Shev Kernel density estimation with linked boundary conditions. (English) Zbl 1453.62440 Stud. Appl. Math. 145, No. 3, 357-396 (2020). MSC: 62G07 62P10 60J60 65C20 PDFBibTeX XMLCite \textit{M. J. Colbrook} et al., Stud. Appl. Math. 145, No. 3, 357--396 (2020; Zbl 1453.62440) Full Text: DOI arXiv
Iserles, A.; Macnamara, S. Applications of Magnus expansions and pseudospectra to Markov processes. (English) Zbl 1427.60167 Eur. J. Appl. Math. 30, No. 2, 400-425 (2019). MSC: 60J28 60H35 65F15 15A18 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{S. Macnamara}, Eur. J. Appl. Math. 30, No. 2, 400--425 (2019; Zbl 1427.60167) Full Text: DOI
MacNamara, Shev; McLean, William; Burrage, Kevin Wider contours and adaptive contours. (English) Zbl 07075714 Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 79-98 (2019). MSC: 65F60 PDFBibTeX XMLCite \textit{S. MacNamara} et al., MATRIX Book Ser. 2, 79--98 (2019; Zbl 07075714) Full Text: DOI arXiv
Strang, Gilbert; MacNamara, Shev A local inverse formula and a factorization. (English) Zbl 1405.65039 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 1109-1126 (2018). MSC: 65F05 15A09 15A23 15A29 PDFBibTeX XMLCite \textit{G. Strang} and \textit{S. MacNamara}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 1109--1126 (2018; Zbl 1405.65039) Full Text: DOI arXiv
Hellander, Andreas; Klosa, Jan; Lötstedt, Per; MacNamara, Shev Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations. (English) Zbl 1386.35204 SIAM J. Appl. Math. 77, No. 4, 1157-1183 (2017). MSC: 35K57 35Q92 35R60 92E20 PDFBibTeX XMLCite \textit{A. Hellander} et al., SIAM J. Appl. Math. 77, No. 4, 1157--1183 (2017; Zbl 1386.35204) Full Text: DOI arXiv
MacNamara, Shev; Henry, Bruce; McLean, William Fractional Euler limits and their applications. (English) Zbl 1371.35304 SIAM J. Appl. Math. 77, No. 2, 447-469 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q92 35R60 35R11 PDFBibTeX XMLCite \textit{S. MacNamara} et al., SIAM J. Appl. Math. 77, No. 2, 447--469 (2017; Zbl 1371.35304) Full Text: DOI arXiv
Tisdell, C. Christopher; Liu, Zhenhai; MacNamara, Shev F. Basic existence and uniqueness results for solutions to systems of nonlinear fractional differential equations. (English) Zbl 1383.34012 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 24, No. 3, 181-193 (2017). Reviewer: Yong-Kui Chang (Xi’an) MSC: 34A08 34A12 47N20 34A40 PDFBibTeX XMLCite \textit{C. C. Tisdell} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 24, No. 3, 181--193 (2017; Zbl 1383.34012) Full Text: Link
Iserles, Arieh; MacNamara, Shev Magnus expansions and pseudospectra of Master Equations. arXiv:1701.02522 Preprint, arXiv:1701.02522 [math.NA] (2017). BibTeX Cite \textit{A. Iserles} and \textit{S. MacNamara}, ``Magnus expansions and pseudospectra of Master Equations'', Preprint, arXiv:1701.02522 [math.NA] (2017) Full Text: arXiv OA License
MacNamara, Shev; Strang, Gilbert Operator splitting. (English) Zbl 1372.65236 Glowinski, Roland (ed.) et al., Splitting methods in communication and imaging, science, and engineering. Cham: Springer (ISBN 978-3-319-41587-1/hbk; 978-3-319-41589-5/ebook). Scientific Computation, 95-114 (2016). MSC: 65M06 35K57 35L05 PDFBibTeX XMLCite \textit{S. MacNamara} and \textit{G. Strang}, in: Splitting methods in communication and imaging, science, and engineering. Cham: Springer. 95--114 (2016; Zbl 1372.65236) Full Text: DOI
Kormann, Katharina; MacNamara, Shev Error Control for Exponential Integration of the Master Equation. arXiv:1610.03232 Preprint, arXiv:1610.03232 [math.NA] (2016). BibTeX Cite \textit{K. Kormann} and \textit{S. MacNamara}, ``Error Control for Exponential Integration of the Master Equation'', Preprint, arXiv:1610.03232 [math.NA] (2016) Full Text: arXiv OA License
Strang, Gilbert; MacNamara, Shev Functions of difference matrices are Toeplitz plus Hankel. (English) Zbl 1304.65195 SIAM Rev. 56, No. 3, 525-546 (2014). MSC: 65M06 35K05 35L05 PDFBibTeX XMLCite \textit{G. Strang} and \textit{S. MacNamara}, SIAM Rev. 56, No. 3, 525--546 (2014; Zbl 1304.65195) Full Text: DOI Link
Speth, Raymond L.; Green, William H.; Macnamara, Shev; Strang, Gilbert Balanced splitting and rebalanced splitting. (English) Zbl 1284.65121 SIAM J. Numer. Anal. 51, No. 6, 3084-3105 (2013). MSC: 65M20 35K57 65M12 PDFBibTeX XMLCite \textit{R. L. Speth} et al., SIAM J. Numer. Anal. 51, No. 6, 3084--3105 (2013; Zbl 1284.65121) Full Text: DOI Link
Dangerfield, C. E.; Kay, D.; MacNamara, S.; Burrage, K. A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. (English) Zbl 1255.65019 BIT 52, No. 2, 283-304 (2012). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 65C30 65L20 60H35 92D99 60H10 34F05 PDFBibTeX XMLCite \textit{C. E. Dangerfield} et al., BIT 52, No. 2, 283--304 (2012; Zbl 1255.65019) Full Text: DOI Link
MacNamara, Shev; Baker, Ruth E.; Maini, Philip K. Distinguishing graded and ultrasensitive signalling cascade kinetics by the shape of morphogen gradients in Drosophila. (English) Zbl 1397.92291 J. Theor. Biol. 285, 136-146 (2011). MSC: 92C45 92C37 PDFBibTeX XMLCite \textit{S. MacNamara} et al., J. Theor. Biol. 285, 136--146 (2011; Zbl 1397.92291) Full Text: DOI
MacNamara, Shev; Burrage, Kevin Stochastic modeling of naïve T cell homeostasis for competing clonotypes via the master equation. (English) Zbl 1211.92017 Multiscale Model. Simul. 8, No. 4, 1325-1347 (2010). Reviewer: Kai Liu (Liverpool) MSC: 92C37 60H35 PDFBibTeX XMLCite \textit{S. MacNamara} and \textit{K. Burrage}, Multiscale Model. Simul. 8, No. 4, 1325--1347 (2010; Zbl 1211.92017) Full Text: DOI
MacNamara, Shev; Burrage, Kevin Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade. (English) Zbl 1165.92019 Numer. Algorithms 51, No. 3, 281-307 (2009). MSC: 92C45 60H35 65C30 PDFBibTeX XMLCite \textit{S. MacNamara} and \textit{K. Burrage}, Numer. Algorithms 51, No. 3, 281--307 (2009; Zbl 1165.92019) Full Text: DOI
Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. Multiscale modeling of chemical kinetics via the master equation. (English) Zbl 1153.60370 Multiscale Model. Simul. 6(2007), No. 4, 1146-1168 (2008). MSC: 60H35 65C40 65F10 PDFBibTeX XMLCite \textit{S. Macnamara} et al., Multiscale Model. Simul. 6, No. 4, 1146--1168 (2008; Zbl 1153.60370) Full Text: DOI Link
MacNamara, Shev F.; Burrage, Kevin; Sidje, Roger B. An improved finite state projection algorithm for the numerical solution of the chemical master equation with applications. (English) Zbl 1334.92475 ANZIAM J. 48C(2006-2010), Proc. 2006, C413-C435 (2007). MSC: 92E20 80A30 PDFBibTeX XMLCite \textit{S. F. MacNamara} et al., ANZIAM J. 48C, C413--C435 (2007; Zbl 1334.92475) Full Text: Link
Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev Inexact uniformization method for computing transient distributions of Markov chains. (English) Zbl 1154.65300 SIAM J. Sci. Comput. 29, No. 6, 2562-2580 (2007). MSC: 65C40 60J27 65F50 65F30 PDFBibTeX XMLCite \textit{R. B. Sidje} et al., SIAM J. Sci. Comput. 29, No. 6, 2562--2580 (2007; Zbl 1154.65300) Full Text: DOI Link
Hegland, Markus; Burden, Conrad; Santoso, Lucia; MacNamara, Shev; Booth, Hilary A solver for the stochastic master equation applied to gene regulatory networks. (English) Zbl 1121.65009 J. Comput. Appl. Math. 205, No. 2, 708-724 (2007). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 92D10 62P10 60J22 65C40 60H10 34F05 PDFBibTeX XMLCite \textit{M. Hegland} et al., J. Comput. Appl. Math. 205, No. 2, 708--724 (2007; Zbl 1121.65009) Full Text: DOI