Celledoni, Elena (ed.); Munthe-Kaas, Hans Z. (ed.); Owren, Brynjulf (ed.); Zanna, Antonella (ed.) Preface: special issue on mechanics, computation and their math foundations. I. (English) Zbl 07807510 J. Comput. Dyn. 11, No. 1, i-ii (2024). MSC: 00Bxx PDFBibTeX XMLCite \textit{E. Celledoni} (ed.) et al., J. Comput. Dyn. 11, No. 1, i-ii (2024; Zbl 07807510) Full Text: DOI
Munthe-Kaas, Hans Geometric integration on symmetric spaces. (English) Zbl 07807506 J. Comput. Dyn. 11, No. 1, 43-58 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65L05 53C35 22E70 PDFBibTeX XMLCite \textit{H. Munthe-Kaas}, J. Comput. Dyn. 11, No. 1, 43--58 (2024; Zbl 07807506) Full Text: DOI arXiv
Laurent, Adrien; McLachlan, Robert I.; Munthe-Kaas, Hans Z.; Verdier, Olivier The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. (English) Zbl 1527.37090 Forum Math. Sigma 11, Paper No. e69, 39 p. (2023). Reviewer: Kevin Burrage (Brisbane) MSC: 37M15 41A58 05C05 65L06 58A12 PDFBibTeX XMLCite \textit{A. Laurent} et al., Forum Math. Sigma 11, Paper No. e69, 39 p. (2023; Zbl 1527.37090) Full Text: DOI arXiv
Munthe-Kaas, Hans; Stava, Jonatan Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces. arXiv:2306.15582 Preprint, arXiv:2306.15582 [math.DG] (2023). MSC: 53C05 17D25 05C05 53C35 BibTeX Cite \textit{H. Munthe-Kaas} and \textit{J. Stava}, ``Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces'', Preprint, arXiv:2306.15582 [math.DG] (2023) Full Text: arXiv OA License
Laurent, Adrien; Munthe-Kaas, Hans Z. The universal equivariance properties of exotic aromatic B-series. arXiv:2305.10993 Preprint, arXiv:2305.10993 [math.NA] (2023). MSC: 15A72 37C81 41A58 60H35 65C30 BibTeX Cite \textit{A. Laurent} and \textit{H. Z. Munthe-Kaas}, ``The universal equivariance properties of exotic aromatic B-series'', Preprint, arXiv:2305.10993 [math.NA] (2023) Full Text: arXiv OA License
Grong, Erlend; Munthe-Kaas, Hans Z.; Stava, Jonatan Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion. arXiv:2305.02688 Preprint, arXiv:2305.02688 [math.DG] (2023). MSC: 53C05 41A58 53C30 17D99 BibTeX Cite \textit{E. Grong} et al., ``Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion'', Preprint, arXiv:2305.02688 [math.DG] (2023) Full Text: arXiv OA License
Al-Kaabi, M. J. H.; Ebrahimi-Fard, K.; Manchon, D.; Munthe-Kaas, H. Z. Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov’s double exponential and special polynomials. arXiv:2205.04381 Preprint, arXiv:2205.04381 [math.DG] (2022). MSC: 53C05 17D25 BibTeX Cite \textit{M. J. H. Al-Kaabi} et al., ``Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials'', Preprint, arXiv:2205.04381 [math.DG] (2022) Full Text: arXiv OA License
Fløystad, Gunnar; Manchon, Dominique; Munthe-Kaas, Hans Z. The universal pre-Lie-Rinehart algebras of aromatic trees. (English) Zbl 1487.17055 Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2019, Djerba, Selected papers based on the presentations at the 6th Tunisian-Japanese conference. In honor of Professor Takaaki Nomura. Tunisia, December 15–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 366, 137-159 (2021). Reviewer: Loïc Foissy (Calais) MSC: 17D25 17A50 PDFBibTeX XMLCite \textit{G. Fløystad} et al., Springer Proc. Math. Stat. 366, 137--159 (2021; Zbl 1487.17055) Full Text: DOI arXiv
Curry, C.; Ebrahimi-Fard, K.; Manchon, D.; Munthe-Kaas, H. Z. Planarly branched rough paths and rough differential equations on homogeneous spaces. (English) Zbl 1467.60088 J. Differ. Equations 269, No. 11, 9740-9782 (2020). Reviewer: Nikolas Tapia (Berlin) MSC: 60L20 60H10 16T05 16T15 34A34 16T30 PDFBibTeX XMLCite \textit{C. Curry} et al., J. Differ. Equations 269, No. 11, 9740--9782 (2020; Zbl 1467.60088) Full Text: DOI arXiv
Munthe-Kaas, Hans Z.; Stern, Ari; Verdier, Olivier Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds. (English) Zbl 1433.53035 SIAM J. Appl. Algebra Geom. 4, No. 1, 49-68 (2020). MSC: 53C05 17A30 17B66 65D30 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas} et al., SIAM J. Appl. Algebra Geom. 4, No. 1, 49--68 (2020; Zbl 1433.53035) Full Text: DOI arXiv
Munthe-Kaas, Hans Z.; Lundervold, Alexander Correction to: “On post-Lie algebras, Lie-Butcher series and moving frames”. (English) Zbl 1471.17007 Found. Comput. Math. 19, No. 1, 241 (2019). MSC: 17A30 53A55 65L99 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas} and \textit{A. Lundervold}, Found. Comput. Math. 19, No. 1, 241 (2019; Zbl 1471.17007) Full Text: DOI
Curry, Charles; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans What is a post-Lie algebra and why is it useful in geometric integration. (English) Zbl 1431.65236 Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 429-437 (2018). MSC: 65P10 34A26 37M15 17B35 PDFBibTeX XMLCite \textit{C. Curry} et al., Lect. Notes Comput. Sci. Eng. 126, 429--437 (2018; Zbl 1431.65236) Full Text: DOI arXiv
Fløystad, Gunnar; Munthe-Kaas, Hans Pre- and post-Lie algebras: the algebro-geometric view. (English) Zbl 1446.17002 Celledoni, Elena (ed.) et al., Computation and combinatorics in dynamics, stochastics and control. The Abel symposium, Rosendal, Norway, August 16–19, 2016. Selected papers. Cham: Springer. Abel Symp. 13, 321-367 (2018). MSC: 17A30 14L30 16T30 16T05 PDFBibTeX XMLCite \textit{G. Fløystad} and \textit{H. Munthe-Kaas}, Abel Symp. 13, 321--367 (2018; Zbl 1446.17002) Full Text: DOI arXiv Link
Celledoni, Elena (ed.); Di Nunno, Giulia (ed.); Ebrahimi-Fard, Kurusch (ed.); Munthe-Kaas, Hans Zanna (ed.) Computation and combinatorics in dynamics, stochastics and control. The Abel symposium, Rosendal, Norway, August 16–19, 2016. Selected papers. (English) Zbl 1410.60006 Abel Symposia 13. Cham: Springer (ISBN 978-3-030-01592-3/hbk; 978-3-030-01593-0/ebook). xi, 737 p. (2018). MSC: 60-06 16-06 17-06 37-06 65-06 00B25 PDFBibTeX XMLCite \textit{E. Celledoni} (ed.) et al., Computation and combinatorics in dynamics, stochastics and control. The Abel symposium, Rosendal, Norway, August 16--19, 2016. Selected papers. Cham: Springer (2018; Zbl 1410.60006) Full Text: DOI
Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans Post-Lie algebras and factorization theorems. (English) Zbl 1402.17021 J. Geom. Phys. 119, 19-33 (2017). MSC: 17B35 17B62 17D25 16T05 16T10 16T25 16T30 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} et al., J. Geom. Phys. 119, 19--33 (2017; Zbl 1402.17021) Full Text: DOI arXiv
Munthe-Kaas, Hans Z.; Føllesdal, Kristoffer K. Lie-Butcher series, Geometry, Algebra and Computation. arXiv:1701.03654 Preprint, arXiv:1701.03654 [math.NA] (2017). MSC: 65L99 16T05 BibTeX Cite \textit{H. Z. Munthe-Kaas} and \textit{K. K. Føllesdal}, ``Lie-Butcher series, Geometry, Algebra and Computation'', Preprint, arXiv:1701.03654 [math.NA] (2017) Full Text: arXiv OA License
Munthe-Kaas, Hans Z. Groups and symmetries in numerical linear algebra. (English) Zbl 1361.65028 Benzi, Michele (ed.) et al., Exploiting hidden structure in matrix computations: algorithms and applications. Cetraro, Italy, June 22–26, 2015. Lecture notes given at the summer course. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-49886-7/pbk; 978-3-319-49887-4/ebook). Lecture Notes in Mathematics 2173. CIME Foundation Subseries, 319-406 (2016). MSC: 65F99 65T40 65F60 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas}, Lect. Notes Math. 2173, 319--406 (2016; Zbl 1361.65028) Full Text: DOI
Benzi, Michele (ed.); Simoncini, Valeria (ed.) [Bini, Dario; Kressner, Daniel; Munthe-Kaas, Hans; Van Loan, Charles] Exploiting hidden structure in matrix computations: algorithms and applications. Cetraro, Italy, June 22–26, 2015. Lecture notes given at the summer course. (English) Zbl 1366.65001 Lecture Notes in Mathematics 2173. CIME Foundation Subseries. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-49886-7/pbk; 978-3-319-49887-4/ebook). ix, 406 p. (2016). MSC: 65-06 65F30 65Fxx 65Nxx 00B25 PDFBibTeX XMLCite \textit{M. Benzi} (ed.) and \textit{V. Simoncini} (ed.), Exploiting hidden structure in matrix computations: algorithms and applications. Cetraro, Italy, June 22--26, 2015. Lecture notes given at the summer course. Cham: Springer; Florence: Fondazione CIME (2016; Zbl 1366.65001) Full Text: DOI
Munthe-Kaas, Hans; Verdier, Olivier Integrators on homogeneous spaces: isotropy choice and connections. (English) Zbl 1351.22011 Found. Comput. Math. 16, No. 4, 899-939 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 22F30 53C30 14M15 65Pxx 37Mxx 65L06 PDFBibTeX XMLCite \textit{H. Munthe-Kaas} and \textit{O. Verdier}, Found. Comput. Math. 16, No. 4, 899--939 (2016; Zbl 1351.22011) Full Text: DOI arXiv
McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier B-series methods are exactly the affine equivariant methods. (English) Zbl 1364.65145 Numer. Math. 133, No. 3, 599-622 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L06 65L12 37C80 37C10 41A58 34A34 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., Numer. Math. 133, No. 3, 599--622 (2016; Zbl 1364.65145) Full Text: DOI arXiv
Munthe-Kaas, Hans; Verdier, Olivier Aromatic Butcher series. (English) Zbl 1368.65113 Found. Comput. Math. 16, No. 1, 183-215 (2016). Reviewer: Raffaella Pavani (Milano) MSC: 65L06 37M99 37C10 34A34 PDFBibTeX XMLCite \textit{H. Munthe-Kaas} and \textit{O. Verdier}, Found. Comput. Math. 16, No. 1, 183--215 (2016; Zbl 1368.65113) Full Text: DOI arXiv
Lundervold, Alexander; Munthe-Kaas, Hans Z. On algebraic structures of numerical integration on vector spaces and manifolds. (English) Zbl 1351.65049 Ebrahimi-Fard, Kurusch (ed.) et al., Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series. Based on a conference hosted by IRMA, Strasbourg, France, June 27–July 1, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-143-9/pbk; 978-3-03719-643-4/ebook). IRMA Lectures in Mathematics and Theoretical Physics 21, 219-263 (2015). MSC: 65L05 34A34 34A26 PDFBibTeX XMLCite \textit{A. Lundervold} and \textit{H. Z. Munthe-Kaas}, IRMA Lect. Math. Theor. Phys. 21, 219--263 (2015; Zbl 1351.65049) Full Text: arXiv
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Munthe-Kaas, Hans Z. On the Lie enveloping algebra of a post-Lie algebra. (English) Zbl 1360.17015 J. Lie Theory 25, No. 4, 1139-1165 (2015). MSC: 17B35 16T30 17D25 22E05 65L06 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} et al., J. Lie Theory 25, No. 4, 1139--1165 (2015; Zbl 1360.17015) Full Text: arXiv Link
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans Z. Post-Lie algebras and isospectral flows. (English) Zbl 1369.17005 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 093, 16 p. (2015). MSC: 17B35 37J35 70G65 70H06 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 093, 16 p. (2015; Zbl 1369.17005) Full Text: DOI arXiv EMIS
McLachlan, Robert I; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier Butcher series: A story of rooted trees and numerical methods for evolution equations. arXiv:1512.00906 Preprint, arXiv:1512.00906 [math.NA] (2015). MSC: 65-03 01-08 65L06 BibTeX Cite \textit{R. I McLachlan} et al., ``Butcher series: A story of rooted trees and numerical methods for evolution equations'', Preprint, arXiv:1512.00906 [math.NA] (2015) Full Text: arXiv OA License
Holden, Helge; Munthe-Kaas, Hans; Schleicher, Dierk Editorial: Laureates meet young researchers in Heidelberg. (English) Zbl 1296.01013 Eur. Math. Soc. Newsl. 91, 3-5 (2014). MSC: 01A61 PDFBibTeX XMLCite \textit{H. Holden} et al., Eur. Math. Soc. Newsl. 91, 3--5 (2014; Zbl 1296.01013)
Munthe-Kaas, H. Z.; Quispel, G. R. W.; Zanna, A. Symmetric spaces and Lie triple systems in numerical analysis of differential equations. (English) Zbl 1291.65254 BIT 54, No. 1, 257-282 (2014). Reviewer: Walter Freyn (Augsburg) MSC: 65L99 53C35 58J70 34A26 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas} et al., BIT 54, No. 1, 257--282 (2014; Zbl 1291.65254) Full Text: DOI arXiv
Bartha, Ferenc A.; Munthe-Kaas, Hans Z. Computing of B-series by automatic differentiation. (English) Zbl 1278.65020 Discrete Contin. Dyn. Syst. 34, No. 3, 903-914 (2014). MSC: 65D25 65L05 65Y20 PDFBibTeX XMLCite \textit{F. A. Bartha} and \textit{H. Z. Munthe-Kaas}, Discrete Contin. Dyn. Syst. 34, No. 3, 903--914 (2014; Zbl 1278.65020) Full Text: DOI
Munthe-Kaas, Hans Z.; Nome, Morten; Ryland, Brett N. Through the kaleidoscope: symmetries, groups and Chebyshev-approximations from a computational point of view. (English) Zbl 1316.65122 Cucker, Felipe (ed.) et al., Foundations of computational mathematics, Budapest 2011. Collected papers based on the plenary talks presented at the conference of the Society for the Foundations of Computational Mathematics, FoCM, July 4–14, 2011. Cambridge: Cambridge University Press (ISBN 978-1-107-60407-0/pbk). London Mathematical Society Lecture Note Series 403, 188-229 (2013). MSC: 65T99 43A25 41A50 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas} et al., Lond. Math. Soc. Lect. Note Ser. 403, 188--229 (2013; Zbl 1316.65122)
Munthe-Kaas, Hans Z.; Lundervold, Alexander On post-Lie algebras, Lie-Butcher series and moving frames. (English) Zbl 1327.17001 Found. Comput. Math. 13, No. 4, 583-613 (2013); correction ibid.19, No. 1, 241 (2019). MSC: 17A30 53A55 65L99 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas} and \textit{A. Lundervold}, Found. Comput. Math. 13, No. 4, 583--613 (2013; Zbl 1327.17001) Full Text: DOI arXiv
Lundervold, Alexander; Munthe-Kaas, Hans Backward error analysis and the substitution law for Lie group integrators. (English) Zbl 1323.65090 Found. Comput. Math. 13, No. 2, 161-186 (2013). MSC: 65L70 65L06 65L05 PDFBibTeX XMLCite \textit{A. Lundervold} and \textit{H. Munthe-Kaas}, Found. Comput. Math. 13, No. 2, 161--186 (2013; Zbl 1323.65090) Full Text: DOI arXiv
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Malham, Simon J. A.; Munthe-Kaas, Hans; Wiese, Anke Algebraic structure of stochastic expansions and efficient simulation. (English) Zbl 1371.60102 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2144, 2361-2382 (2012). MSC: 60H10 34A25 34F05 PDFBibTeX XMLCite \textit{K. Ebrahimi-Fard} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2144, 2361--2382 (2012; Zbl 1371.60102) Full Text: DOI arXiv
Munthe-Kaas, Hans; Sørevik, Tor Multidimensional pseudo-spectral methods on lattice grids. (English) Zbl 1237.65130 Appl. Numer. Math. 62, No. 3, 155-165 (2012). MSC: 65N35 65T50 35J05 PDFBibTeX XMLCite \textit{H. Munthe-Kaas} and \textit{T. Sørevik}, Appl. Numer. Math. 62, No. 3, 155--165 (2012; Zbl 1237.65130) Full Text: DOI
Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf Topics in structure-preserving discretization. (English) Zbl 1233.65087 Acta Numerica 20, 1-119 (2011). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 65-02 35J25 PDFBibTeX XMLCite \textit{S. H. Christiansen} et al., Acta Numerica 20, 1--119 (2011; Zbl 1233.65087) Full Text: DOI arXiv
Lundervold, Alexander; Munthe-Kaas, Hans Hopf algebras of formal diffeomorphisms and numerical integration on manifolds. (English) Zbl 1291.65212 Ebrahimi-Fard, Kurusch (ed.) et al., Combinatorics and physics. Mini-workshop on renormalization, December 15–16, 2006, Conference on combinatorics and physics, March 19–23, 2007, Bonn, Germany. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5329-0/pbk). Contemporary Mathematics 539, 295-324 (2011). MSC: 65L05 37M99 81R50 81R60 81T15 16T05 65D30 PDFBibTeX XMLCite \textit{A. Lundervold} and \textit{H. Munthe-Kaas}, Contemp. Math. 539, 295--324 (2011; Zbl 1291.65212) Full Text: arXiv
Ryland, Brett N.; Munthe-Kaas, Hans Z. On multivariate Chebyshev polynomials and spectral approximations on triangles. (English) Zbl 1216.65035 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 19-41 (2011). MSC: 65D20 33C52 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{B. N. Ryland} and \textit{H. Z. Munthe-Kaas}, Lect. Notes Comput. Sci. Eng. 76, 19--41 (2011; Zbl 1216.65035) Full Text: DOI
Krogstad, Stein; Munthe-Kaas, Hans Z.; Zanna, Antonella Generalized polar coordinates on Lie groups and numerical integrators. (English) Zbl 1185.22003 Numer. Math. 114, No. 1, 161-187 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 22E15 17B40 57S25 65L06 22-04 PDFBibTeX XMLCite \textit{S. Krogstad} et al., Numer. Math. 114, No. 1, 161--187 (2009; Zbl 1185.22003) Full Text: DOI
McLachlan, R. I.; Munthe-Kaas, H. Z.; Quispel, G. R. W.; Zanna, A. Explicit volume-preserving splitting methods for linear and quadratic divergence-free vector fields. (English) Zbl 1147.65053 Found. Comput. Math. 8, No. 3, 335-355 (2008). MSC: 65L05 34A26 34C14 34A30 34A34 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., Found. Comput. Math. 8, No. 3, 335--355 (2008; Zbl 1147.65053) Full Text: DOI
Munthe-Kaas, H. Z.; Wright, W. M. On the Hopf algebraic structure of Lie group integrators. (English) Zbl 1147.16028 Found. Comput. Math. 8, No. 2, 227-257 (2008). MSC: 16W30 37M99 65L05 65L06 81R60 81T15 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas} and \textit{W. M. Wright}, Found. Comput. Math. 8, No. 2, 227--257 (2008; Zbl 1147.16028) Full Text: DOI arXiv
Munthe-Kaas, Hans (ed.); Owren, Brynjulf (ed.) Mathematics and computation, a contemporary view. The Abel symposium 2006. Proceedings of the third Abel symposium, Alesund, Norway, May 25–27, 2006. (English) Zbl 1148.00004 Abel Symposia 3. Berlin: Springer (ISBN 978-3-540-68848-8/hbk). xiv, 127 p. (2008). MSC: 00B25 PDFBibTeX XMLCite \textit{H. Munthe-Kaas} (ed.) and \textit{B. Owren} (ed.), Mathematics and computation, a contemporary view. The Abel symposium 2006. Proceedings of the third Abel symposium, Alesund, Norway, May 25--27, 2006. Berlin: Springer (2008; Zbl 1148.00004) Full Text: DOI
Hong, Jialin; Liu, Ying; Munthe-Kaas, Hans; Zanna, Antonella Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. (English) Zbl 1110.65116 Appl. Numer. Math. 56, No. 6, 814-843 (2006). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65P10 37K10 37M15 35Q55 65M15 65M06 PDFBibTeX XMLCite \textit{J. Hong} et al., Appl. Numer. Math. 56, No. 6, 814--843 (2006; Zbl 1110.65116) Full Text: DOI
Hlander, Krister; Munthe-Kaas, Hans Eigenvalues for equivariant matrices. (English) Zbl 1091.65036 J. Comput. Appl. Math. 192, No. 1, 89-99 (2006). MSC: 65F15 PDFBibTeX XMLCite \textit{K. Hlander} and \textit{H. Munthe-Kaas}, J. Comput. Appl. Math. 192, No. 1, 89--99 (2006; Zbl 1091.65036) Full Text: DOI
Munthe-Kaas, H. Z. On group Fourier analysis and symmetry preserving discretizations of PDEs. (English) Zbl 1090.65121 J. Phys. A, Math. Gen. 39, No. 19, 5563-5584 (2006). MSC: 65M70 35K55 22E70 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas}, J. Phys. A, Math. Gen. 39, No. 19, 5563--5584 (2006; Zbl 1090.65121) Full Text: DOI
Åhlander, Krister; Munthe-Kaas, Hans Applications of the generalized Fourier transform in numerical linear algebra. (English) Zbl 1093.65042 BIT 45, No. 4, 819-850 (2005). MSC: 65F30 65T50 15A21 15B57 PDFBibTeX XMLCite \textit{K. Åhlander} and \textit{H. Munthe-Kaas}, BIT 45, No. 4, 819--850 (2005; Zbl 1093.65042) Full Text: DOI
Haveraaen, Magne; Friis, Helmer André; Munthe-Kaas, Hans Computable scalar fields: A basis for PDE software. (English) Zbl 1094.65124 J. Log. Algebr. Program. 65, No. 1, 36-49 (2005). MSC: 65N99 35A25 PDFBibTeX XMLCite \textit{M. Haveraaen} et al., J. Log. Algebr. Program. 65, No. 1, 36--49 (2005; Zbl 1094.65124) Full Text: DOI
Chen, Jing-Bo; Munthe-Kaas, Hans; Qin, Meng-Zhao Square-conservative schemes for a class of evolution equations using Lie-group methods. (English) Zbl 1009.65061 SIAM J. Numer. Anal. 39, No. 6, 2164-2178 (2002). MSC: 65M20 35K55 35K90 PDFBibTeX XMLCite \textit{J.-B. Chen} et al., SIAM J. Numer. Anal. 39, No. 6, 2164--2178 (2002; Zbl 1009.65061) Full Text: DOI
Zanna, A.; Munthe-Kaas, H. Z. Generalized polar decompositions for the approximation of the matrix exponential. (English) Zbl 0999.65060 SIAM J. Matrix Anal. Appl. 23, No. 3, 840-862 (2002). MSC: 65L05 22E15 34A26 34A30 PDFBibTeX XMLCite \textit{A. Zanna} and \textit{H. Z. Munthe-Kaas}, SIAM J. Matrix Anal. Appl. 23, No. 3, 840--862 (2002; Zbl 0999.65060) Full Text: DOI
Faltinsen, Stig; Marthinsen, Arne; Munthe-Kaas, Hans Z. Multistep methods integrating ordinary differential equations on manifolds. (English) Zbl 0996.65073 Appl. Numer. Math. 39, No. 3-4, 349-365 (2001). Reviewer: Kevin Burrage (Brisbane) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{S. Faltinsen} et al., Appl. Numer. Math. 39, No. 3--4, 349--365 (2001; Zbl 0996.65073) Full Text: DOI
Engø, Kenth; Marthinsen, Arne; Munthe-Kaas, Hans Z. DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds. (English) Zbl 0990.65139 Appl. Numer. Math. 39, No. 3-4, 323-347 (2001). MSC: 65P10 65Y15 37M15 PDFBibTeX XMLCite \textit{K. Engø} et al., Appl. Numer. Math. 39, No. 3--4, 323--347 (2001; Zbl 0990.65139) Full Text: DOI
Friis, Helmer André; Johansen, Tor Arne; Haveraaen, Magne; Munthe-Kaas, Hans; Drottning, Åsmund Use of coordinate-free numerics in elastic wave simulation. (English) Zbl 1088.74521 Appl. Numer. Math. 39, No. 2, 151-171 (2001). MSC: 74H15 74J10 74F10 86A15 PDFBibTeX XMLCite \textit{H. A. Friis} et al., Appl. Numer. Math. 39, No. 2, 151--171 (2001; Zbl 1088.74521) Full Text: DOI
Munthe-Kaas, H. Z.; Quispel, G. R. W.; Zanna, A. Generalized polar decompositions on Lie groups with involutive automorphisms. (English) Zbl 0980.22010 Found. Comput. Math. 1, No. 3, 297-324 (2001). Reviewer: Brigitte Breckner (Cluj-Napoca) MSC: 22E15 53C22 65F25 65Q05 53C35 PDFBibTeX XMLCite \textit{H. Z. Munthe-Kaas} et al., Found. Comput. Math. 1, No. 3, 297--324 (2001; Zbl 0980.22010)
Zanna, Antonella; Engø, Kenth; Munthe-Kaas, Hans Z. Adjoint and selfadjoint Lie-group methods. (English) Zbl 0982.65083 BIT 41, No. 2, 395-421 (2001). Reviewer: Kevin Burrage (Brisbane) MSC: 65L06 65L05 34A26 34A34 PDFBibTeX XMLCite \textit{A. Zanna} et al., BIT 41, No. 2, 395--421 (2001; Zbl 0982.65083) Full Text: DOI
Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella Lie-group methods. (English) Zbl 1064.65147 Acta Numerica 9, 215-365 (2000). MSC: 65P10 37M15 34A26 65L06 65L20 65L70 PDFBibTeX XMLCite \textit{A. Iserles} et al., Acta Numerica 9, 215--365 (2000; Zbl 1064.65147)
Munthe-Kaas, Hans; Owren, Brynjulf Computations in a free Lie algebra. (English) Zbl 0956.65056 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1754, 957-981 (1999). Reviewer: M.Plum (Karlsruhe) MSC: 65L05 17B01 65Y20 34C40 PDFBibTeX XMLCite \textit{H. Munthe-Kaas} and \textit{B. Owren}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1754, 957--981 (1999; Zbl 0956.65056) Full Text: DOI
Munthe-Kaas, Hans High order Runge-Kutta methods on manifolds. (English) Zbl 0934.65077 Appl. Numer. Math. 29, No. 1, 115-127 (1999). Reviewer: E.Schechter (Kaiserslautern) MSC: 65L06 65L05 34C40 PDFBibTeX XMLCite \textit{H. Munthe-Kaas}, Appl. Numer. Math. 29, No. 1, 115--127 (1999; Zbl 0934.65077) Full Text: DOI
Munthe-Kaas, Hans Runge-Kutta methods on Lie groups. (English) Zbl 0904.65077 BIT 38, No. 1, 92-111 (1998). Reviewer: A.Marciniak (Poznań) MSC: 65L06 65L05 22E99 34A34 PDFBibTeX XMLCite \textit{H. Munthe-Kaas}, BIT 38, No. 1, 92--111 (1998; Zbl 0904.65077) Full Text: DOI
Zanna, Antonella; Munthe-Kaas, Hans Iterated commutators, Lie’s reduction method and ordinary differential equations on matrix Lie groups. (English) Zbl 0869.65049 Cucker, Felipe (ed.) et al., Foundations of computational mathematics. Selected papers of a conference, held at IMPA in Rio de Janeiro, Brazil, January 1997. Berlin: Springer. 424-433 (1997). MSC: 65L05 34A26 34A34 PDFBibTeX XMLCite \textit{A. Zanna} and \textit{H. Munthe-Kaas}, in: Foundations of computational mathematics. Selected papers of a conference, held at IMPA in Rio de Janeiro, Brazil, January 1997. Berlin: Springer. 424--433 (1997; Zbl 0869.65049)
Munthe-Kaas, Hans; Zanna, Antonella Numerical integration of differential equations on homgeneous manifolds. (English) Zbl 0869.65048 Cucker, Felipe (ed.) et al., Foundations of computational mathematics. Selected papers of a conference, held at IMPA in Rio de Janeiro, Brazil, January 1997. Berlin: Springer. 305-315 (1997). MSC: 65L05 65L06 34C30 34A34 PDFBibTeX XMLCite \textit{H. Munthe-Kaas} and \textit{A. Zanna}, in: Foundations of computational mathematics. Selected papers of a conference, held at IMPA in Rio de Janeiro, Brazil, January 1997. Berlin: Springer. 305--315 (1997; Zbl 0869.65048)
Marthinsen, Arne; Munthe-Kaas, Hans; Owren, Brynjulf Simulation of ordinary differential equations on manifolds: Some numerical experiments and verifications. (English) Zbl 0870.34015 Model. Identif. Control 18, No. 1, 75-88 (1997). Reviewer: T.E.Simos (Athens) MSC: 65J99 65L05 PDFBibTeX XMLCite \textit{A. Marthinsen} et al., Model. Identif. Control 18, No. 1, 75--88 (1997; Zbl 0870.34015) Full Text: DOI
Arioli, M.; Munthe-Kaas, Hans; Valdettaro, L. Componentwise error analysis for FFTs with applications to fast Helmholtz solvers. (English) Zbl 0855.65146 Numer. Algorithms 12, No. 1-2, 65-88 (1996). Reviewer: G.Mayer (Rostock) MSC: 65T50 35J05 65G50 65F05 65N06 PDFBibTeX XMLCite \textit{M. Arioli} et al., Numer. Algorithms 12, No. 1--2, 65--88 (1996; Zbl 0855.65146) Full Text: DOI
Munthe-Kaas, H.; Haveraaen, M. Coordinate free numerics – closing the gap between ‘pure’ and ‘applied’ mathematics? (English) Zbl 0925.68257 Z. Angew. Math. Mech. 76, Suppl. 1, 487-488 (1996). MSC: 68W30 65L06 PDFBibTeX XMLCite \textit{H. Munthe-Kaas} and \textit{M. Haveraaen}, Z. Angew. Math. Mech. 76, 487--488 (1996; Zbl 0925.68257) Full Text: DOI
Munthe-Kaas, Hans Lie-Butcher theory for Runge-Kutta methods. (English) Zbl 0841.65059 BIT 35, No. 4, 572-587 (1995). Reviewer: E.Hairer (Genève) MSC: 65L06 37K35 PDFBibTeX XMLCite \textit{H. Munthe-Kaas}, BIT 35, No. 4, 572--587 (1995; Zbl 0841.65059) Full Text: DOI
Munthe-Kaas, Hans Superparallel FFTs. (English) Zbl 0773.65096 SIAM J. Sci. Comput. 14, No. 2, 349-367 (1993). Reviewer: L.S.Ioffe (Haifa) MSC: 65T50 65Y05 65Y10 PDFBibTeX XMLCite \textit{H. Munthe-Kaas}, SIAM J. Sci. Comput. 14, No. 2, 349--367 (1993; Zbl 0773.65096) Full Text: DOI