Publications
-
Cubature rules with positive weights on union of disks,
draft,
» Joint paper with with M. Vianello
»
» SCOPUS:
» WOS:
» ISSN:
» SCIMAGO:
» Work supported by:
» This research has been accomplished within:. -
Algebraic cubature on polygonal elements with a circular edge,
submitted,
» Joint paper with with E. Artioli and M. Vianello
» [PDF]
» SCOPUS:
» WOS:
» ISSN:
» SCIMAGO:
» Work supported by:
» This research has been accomplished within:. -
Quadrature-based polynomial optimization,
Optim. Lett., published online 07 March 2019.
» Joint paper with A. Martinez Calomardo, F. Piazzon and M. Vianello.
» [PDF]
» SCOPUS:
» WOS:
» ISSN:
» SCIMAGO: Q2, Control and Optimization, SJR 2017: 0.72 (March 2019)
» Work partially supported by the DOR funds and the biennial project BIRD163015 of the University of Padova, and by the GNCS-INdAM.
» This research has been accomplished within the RITA (Research ITalian network on Approximation). -
Compressed cubature over polygonal domains ,
draft.
» Joint paper with B. Bauman (LLNL, USA) and M. Vianello.
» [no PDF available]
» SCOPUS:
» WOS:
» ISSN:
» Work supported:
» This research has been accomplished within the RITA (Research ITalian network on Approximation). -
On the computation of sets of points with low Lebesgue constant on the unit disk,
Journal of Computational and Applied Mathematics, Volume 345, 1 January 2019, Pages 388-404.
» Joint paper with G. Meurant.
» [PDF]
» Doi: 10.1016/j.cam.2018.06.051
» SCOPUS: 2-s2.0-85049854067
» WOS: 000447084300028
» ISSN: 03770427
» eISSN: 1879-1778
» SCIMAGO: Q2, Applied Mathematics, SJR 2017: 0.94 (March 2019)
» Work supported by the BIRD163015, PRAT-CPDA143275 and DOR funds of the University of Padova, and by the GNCS-INdAM.
» This research has been accomplished within the RITA (Research ITalian network on Approximation). -
Discrete norming inequalities on sections of sphere, ball and torus,
J. Inequal. Spec. Funct. 9 (2018), 113-121.
» Joint paper with M. Vianello.
» [PDF]
» [MATLAB CODES (zip file)]
» SCOPUS:
» WOS: 000454338200010
» ISSN: 2217-4303
» SCIMAGO: -
» Work supported by the BIRD163015, Horizon 2020 ERA-PLANET European project "GEOEssential", DOR funds of the University of Padova, and by the GNCS-INdAM.
» This research has been accomplished within the RITA (Research ITalian network on Approximation). -
Nearly optimal nested sensors location for polynomial regression on complex geometries,
Sampl. Theory Signal Image Process. 17 (2018), 95--101.
» Joint paper with M. Vianello.
» [PDF]
» [MATLAB CODES (zip file)]
» SCOPUS: -
» WOS: -
» ISSN: 1530-6429
» SCIMAGO: Q4, Algebra and Number theory, SJR 2017: 0.15 (March 2019) -
Subperiodic Trigonometric Hyperinterpolation
"Festschrift for the 80th Birthday of Ian Sloan" (invited paper), J. Dick, F.Y. Kuo, H. Wozniakowski Eds., Springer, 2018, pp. 283-304.
» Joint paper with G. Da Fies and M. Vianello.
» [PDF]
» Doi: 10.1007/978-3-319-72456-0_13
» SCOPUS: 2-s2.0-85053994029
» WOS: -
» ISSN: -
» ISBN: 978-331972456-0;978-331972455-3
» Work supported by the DOR funds and by the biennial projects CPDA124755 and BIRD163015 of the University of Padova, and by the GNCS-INdAM. -
Caratheodory-Tchakaloff Least Squares,
⇥ 2017 International Conference on Sampling Theory and Applications (SampTA), IEEE Xplore Digital Library.
» Joint paper with F. Piazzon and M. Vianello.
» [PDF]
» [MATLAB CODES (zip)]
» Doi: 10.1109/SAMPTA.2017.8024337
» SCOPUS: 2-s2.0-85031692512
» WOS: 000426975000141
» ISSN: -
» ISBN: 978-153861565-2
» Work supported by the DOR funds and the biennial projects CPDA143275 and BIRD163015 of the University of Padova, and by the GNCS-INdAM.
» This research has been accomplished within the RITA (Research ITalian network on Approximation). -
Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere,
⇥ Dolomites Res. Notes Approx. DRNA 10 (2017), 18-24.
» Joint paper with P. Leopardi and M. Vianello.
» [PDF],
» http://dx.doi.org/10.14658/pupj-drna-2017-Special_Issue-4,
» SCOPUS: 2-s2.0-85019644284
» WOS: 000403961900005
» ISSN: 2035-6803.
» Work supported by the BIRD163015, CPDA143275 and DOR funds of the University of Padova, and by the GNCS-INdAM.
» This research has been accomplished within the RITA (Research ITalian network on Approximation). -
Caratheodory-Tchakaloff Subsampling,
⇥ Dolomites Res. Notes Approx. DRNA 10 (2017), 5-14.
» Joint paper with F. Piazzon and M. Vianello.
» [PDF],
» [MATLAB CODES (zip file)],
» Doi: 10.14658/pupj-drna-2017-1-2,
» SCOPUS: 2-s2.0-85018265874
» WOS: 000402109700001
» ISSN: 20356803.
» Work supported by the DOR funds and the biennial projects CPDA143275 and BIRD163015 of the University of Padova, and by the GNCS-INdAM.
» This research has been accomplished within the RITA (Research ITalian network on Approximation). -
Subperiodic trigonometric subsampling: a numerical approach,
⇥ Appl. Anal. Discrete Math. 11 (2017), 470-483
» Joint paper with M. Vianello.
» [PDF]
» [MATLAB CODES (zip file)]
» Doi: 10.2298/AADM1702470S
» SCOPUS: 2-s2.0-85031897864
» WOS: 000414668600016
» ISSN: 14528630
» Work supported by the DOR funds and by the biennial projects CPDA124755 and BIRD163015 of the University of Padova, and by the GNCS-INdAM. -
On the use of compressed polyhedral quadrature formulas in embedded interface methods,
⇥ SIAM J. Sci. Comput., 39(3), B571-B587, (2017)
» Joint paper with Y. Sudhakar, W.A. Wall and M. Vianello.
» [PDF]
» Doi: 10.1137/16M1085206
» SCOPUS: 2-s2.0-85021788971
» WOS: 000404763200006
» ISSN: 1064-8275
» eISSN: 1095-7197
» Work supported by the ex-60% funds and by the biennial project CPDA143275 of the University of Padova, and by the GNCS-INdAM. -
Numerical quadrature on the intersection of planar disks,
⇥ FILOMAT 31:13 (2017), 4105--4115
» Joint paper with M. Vianello.
» [PDF]
» Doi: 10.2298/FIL1713105S
» SCOPUS: 2-s2.0-85034649171
» WOS:
» ISSN: 03545180
» Work supported by ex-60% funds and by the biennial projects CPDA104492 and CPDA124755 of the University of Padova, and by the GNCS-INdAM. -
Polynomial approximation and quadrature on geographic rectangles,
⇥ Appl. Math. Comput. 297 (2017), 159-179.
» Joint paper with M. Gentile and M. Vianello.
» [PDF]
» [MATLAB CODES (zip file), interpolation]
» [MATLAB CODES (zip file), cubature]
» doi: 10.1016/j.amc.2016.08.014
» SCOPUS: 2-s2.0-85000786752
» WOS: 000389591600014
» ISSN: 0096-3003
» eISSN: 1873-5649
» Work supported by the ex-60% funds and by the biennial projects CPDA124755/CPDA143275 of the University of Padova, and by the INdAM GNCS. -
Numerical hyperinterpolation over nonstandard planar regions,
⇥ Math. Comput. Simulation 141 (2017), 110-120.
» Joint paper with M. Vianello.
» [PDF]
» doi: 10.1016/j.matcom.2016.07.009
» SCOPUS: 2-s2.0-84994302358
» WOS: 000408783100010
» ISSN: 0378-4754
» eISSN: 1872-7166
» Work supported by ex-60% funds and by the biennial projects CPDA104492 and CPDA124755 of the University of Padova, and by the GNCS-INdAM. -
Polynomial Meshes: Computation and Approximation,
⇥ Proceeedings of CMMSE 2015, 414-425 (2015).
» Joint paper with S. De Marchi, F. Piazzon and M. Vianello.
» [PDF],
» SCOPUS:
» ISBN 978-84-617-2230-3, ISSN 2312-0177.
» Work supported by ex-60% funds and by the biennial projects CPDA124755/CPDA143275 of the University of Padova, and by the INdAM GNCS. -
Compression of multivariate discrete measures and applications,
⇥ Numer. Funct. Anal. Optim. 36 (2015), 1198-1223.
» Joint paper with M. Vianello
» [PDF],
» doi: 10.1080/01630563.2015.1062394,
» SCOPUS: 2-s2.0-84940403852
» WOS: 000360486800007
» ISSN: 0163-0563
» eISSN: 1532-2467
» Work supported by the ex-60% funds, by the biennial project CPDA124755 of the University of Padova, and by the GNCS-INdAM. -
Polynomial fitting and interpolation on circular sections,
⇥ Appl. Math. Comput. 258 (2015), 410-424.
» Joint paper with M. Vianello.
» [PDF]
» doi:10.1016/j.amc.2015.02.013
» SCOPUS: 2-s2.0-84923917436
» WOS: 000351668500039
» ISSN: 0096-3003
» eISSN: 1873-5649
» Work supported by the ex-60% funds, by the biennial project CPDA124755 of the University of Padova, and by the GNCS-INdAM. -
Multivariate Christoffel functions and hyperinterpolation,
⇥ Dolomites Res. Notes Approx. DRNA 7 (2014), 26-33.
» Joint paper with S. De Marchi and M. Vianello.
» [PDF]
» ISSN : 2035-6803,
» http://dx.doi.org/10.14658/pupj-drna-2014-Special_Issue-6
» SCOPUS: 2-s2.0-84922638261
» Work supported by the ex-60% funds, by the biennial project CPDA124755 of the University of Padova, and by the GNCS-INdAM. -
Fast variants of the Golub and Welsch algorithm for symmetric weight functions,
⇥ Numer. Algo. 67, Issue 3 (2014), 491-506.
» Joint paper with G. Meurant.
» [PDF]
» [MATLAB CODES (zip file)]
» DOI: 10.1007/s11075-013-9804-x
» SCOPUS: 2-s2.0-84946399323
» WOS: 000344598600002
» ISSN: 1017-1398
» eISSN: 1572-9265
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, ex 60%, and by the INdAM-GNCS. -
Fast Construction of Fejer and Clenshaw-Curtis rules for general weight functions,
⇥ Comput. Math. Appl., Volume 65, Issue 4, February 2013, Pages 682-693.
» [PDF]
» [MATLAB CODES (zip file)]
» DOI: 10.1016/j.camwa.2012.12.004
» SCOPUS: 2-s2.0-84873178211
» WOS: 000315425100012
» ISSN: 0898-1221
» eISSN: 1873-7668
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, ex 60%, and by the INdAM-GNCS. -
Algebraic cubature by linear blending of elliptical arcs,
⇥ Appl. Numer. Math. 74 (2013), 49-61.
» Joint paper with G. Da Fies and M. Vianello.
» [PDF]
» [MATLAB CODES (zip file)]
» doi: 10.1016/j.apnum.2013.08.003
» SCOPUS: 2-s2.0-84883895589
» WOS: 000328098200004
» ISSN: 0168-9274
» eISSN: 1873-5460
» Work supported by ex 60%, and by the INdAM-GNCS. -
Computing almost minimal formulas on the square,
⇥ J. Comput. Appl. Math. 236 (2012), 4296-4302.
» Joint paper with M. Festa.
» [PDF]
» doi: 10.1016/j.cam.2012.05.021
» SCOPUS: 2-s2.0-84862843016
» WOS: 000307027700010
» ISSN: 0377-0427
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, ex 60%, and by the INdAM-GNCS. -
On the generation of symmetric Lebesgue points in the triangle,
⇥ J. Comput. Appl. Math. 236 (2012), 4925-4932
» Joint paper with F. Rapetti and M. Vianello.
» [PDF]
» doi: 10.1016/j.cam.2011.11.023
» SCOPUS: 2-s2.0-84863981410
» WOS: 000307425900030
» ISSN: 0377-0427
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova and by the INdAM-GNCS. -
Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder,
⇥ Appl. Math. Comput. Vol. 218 (2012), 10617-10629.
» Joint paper with S. De Marchi and M. Marchioro.
» [PDF]
» doi: https://doi.org/10.1016/j.amc.2012.04.023
» SCOPUS: 2-s2.0-84861795109
» WOS: 000304903000024
» ISSN: 0096-3003
» Work supported by ex 60%. -
Computing Lebesgue and Fekete points in Matlab,
⇥ J. Comput. Appl. Math. 236 (2012), 2477-2486.
» Joint paper with M. Briani and M. Vianello.
» [PDF]
» doi: 10.1016/j.cam.2011.12.006
» SCOPUS:2-s2.0-84856217885
» WOS:000300863800020
» ISSN: 0377-0427
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, ex 60%, and by the INdAM-GNCS. -
On multivariate Newton interpolation at Discrete Leja points,
⇥ Dolomites Res. Notes Approx. DRNA 4 (2011), 15-20,
» Joint paper with L. Bos, S. De Marchi and M. Vianello.
» [PDF]
» SCOPUS:
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, and by the INdAM-GNCS. -
New Tools for Multivariate Polynomial Approximation,
⇥ Book of Abstracts ICIAM 2011.
» Joint work with L. Bos, S. De Marchi and M. Vianello (conference contribution).
» [PDF] -
Polynomial interpolation and cubature over polygons,
⇥ J. Comput. Appl. Math. 235 (2011), 5232-5239.
» Joint paper with M. Gentile and M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-79960049592
» WOS:000293432300027
» ISSN: 0377-0427
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, ex 60%, and by the INdAM-GNCS. -
An algebraic cubature formula on curvilinear polygons,
⇥ Appl. Math. Comput. 217 (2011), 10003-10015,
» Joint paper with G. Santin and M. Vianello.
» [PDF],
» SCOPUS:2-s2.0-80955178375
» WOS:000291680400015
» ISSN: 0096-3003
» Work supported by ex 60% and by the INdAM-GNCS. -
Least-squares polynomial approximation on weakly admissible meshes: disk and triangle,
⇥ J. Comput. Appl. Math. 235 (2010), 660-668,
» Joint paper with L. Bos and M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-77957907903
» WOS:000282394500010
» ISSN: 0377-0427
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, and by the INdAM-GNCS. -
Weakly Admissible Meshes and Discrete Extremal Sets,
⇥ Numer. Math. Theory Methods Appl, 4 (2011) 1-12,
» Joint paper with L. Bos, S. De Marchi and M.Vianello.
» [PDF].
» SCOPUS:2-s2.0-79960433016
» WOS:000289959100001
» ISSN: 1004-8979
» Work supported by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, and by the INdAM-GNCS. -
Computing multivariate Fekete and Leja points by numerical linear algebra,
⇥ SIAM J. Numer. Anal., 48 (2010), 1984-1999.
» Joint paper with L. Bos, S. De Marchi and M.Vianello.
» [PDF]
» SCOPUS:2-s2.0-78649910368
» WOS:000284761200016
» ISSN: 0036-1429
» Work supported by ex-60%, and by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, and by the INdAM-GNCS. -
Approximate Fekete points for weighted polynomial interpolation,
⇥ Electron. Trans. Numer. Anal., 37 (2010),
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-78649931686
» WOS:000285976700001
» ISSN: 1068-9613
» Work supported by ex-60%, and by the biennial Project "Interpolation and Extrapolation: Theory, Algorithms and Applications" of the University of Padova, and by the INdAM-GNCS. -
Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave,
⇥ Numer. Algorithms, 56 (2011), 45-60.
» Joint paper with M. Caliari, S. De Marchi and M.Vianello.
» [PDF]
» SCOPUS:2-s2.0-78650216760
» WOS:000285155700004
» ISSN: 1017-1398 -
Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points,
⇥ Math. Comp., 80 (2011), 1601-1621.
» Joint paper with L. Bos, J.P. Calvi, N. Levenberg and M.Vianello.
» [PDF]
» SCOPUS:2-s2.0-79955664955
» WOS:000291704900015
» ISSN: 0025-5718 -
Computing approximate Fekete points by QR factorisations of Vandermonde matrices,
⇥ Comput. Math. Appl., 57 (2009), 1324-1336.
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-62249119185
» WOS:000265317900009
» ISSN: 0898-1221 -
Gauss-Green cubature and moment computation over arbitrary geometries,
⇥ Journal of Computational and Applied Mathematics, 231 (2009), 886-896,
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-67949109543
» WOS:000268515000034
» ISSN: 0377-0427 -
A numerical code for fast interpolation and cubature at the Padua points .
⇥ J. Vigo Aguiar. Proceedings of the 9th CMMSE. Gijon (Spain), June 30-July 3, 2009, vol. 1, 218-228.
» SCOPUS: -
Nontensorial Clenshaw-Curtis cubature,
⇥ Numerical Algorithms, 49 (2008), 409-427.
» Joint paper with M. Vianello and R. Zanovello.
» [PDF]
» SCOPUS:2-s2.0-55349114756
» WOS:000260618800024
» ISSN: 1017-1398 -
Meshless cubature over the disk by Thin-Plates Splines,
⇥ Journal of Computational and Applied Mathematics, 221 (2008), 430-436.
» Joint paper with A. Punzi and M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-52149087731
» WOS:000260360600016
» ISSN: 0377-0427 -
Approximation on the sphere using radial basis functions plus polynomials,
⇥ Advances in Computational Mathematics, Volume 29, Number 2 / August (2008), 147-177.
» Joint paper with I.H. Sloan.
» [PDF]
» SCOPUS:2-s2.0-47249116177
» WOS:000257587300004
» ISSN: 1019-7168 -
Product Gauss cubature over polygons based on Green's integration formula,
⇥ BIT Numerical Mathematics, 47 (2007), 441-453
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-34250896791
» WOS:000247256900013
» ISSN: 0006-3835 -
Meshless cubature by Green's formula,
⇥ Applied Mathematics and Computation, Volume 183, Issue 2, 15 December 2006, 1098-1107,
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-33845761052
» WOS:000244051100039
» ISSN: 0096-3003 -
Integration by RBF over the Sphere,
⇥ Preprint UNSW, AMR05_17.
» Joint paper with R.S. Womersley.
» [PDF] -
Numerical cubature on scattered datas by Radial Basis Functions,
⇥ Computing 76 (2005), 295-310.
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-29144523574
» WOS:000234020100006
» ISSN: 0010-485X -
On the numerical solution of some semilinear elliptic problems II,
⇥ Computing, 74 (2005), 159-175.
» Joint paper with Kendall Atkinson.
» [PDF]
» SCOPUS:2-s2.0-17144425010
» WOS:000227964900004
» ISSN: 0010-485X -
Quadrature over the sphere,
⇥ Electronic Transactions in Numerical Analysis, 20 (2005), 104-118.
» Joint paper with Kendall Atkinson.
» [PDF]
» SCOPUS:2-s2.0-29344469815
» WOS:000234240200007
» ISSN: 1068-9613 -
Adaptive bivariate Chebyshev approximation,
⇥ Numerical Algorithms, 38 (2005), 70-94.
» Joint paper with M. Vianello and R. Zanovello.
» [PS]
» SCOPUS:2-s2.0-23944516602
» WOS:000227040600007
» ISSN: 1017-1398 -
A fast Nystrom-Broyden solver by Chebyshev compression,
⇥ Numerical Algorithms, 38 (2005), 47-60.
» [PS]
» SCOPUS:2-s2.0-23944495382
» WOS:000227040600005
» ISSN: 1017-1398 -
Adaptive bivariate Chebyshev approximation and efficient evaluation of integral operators,
⇥ ANACM 1, No.2, 524 (2004), 123-128.
» Joint paper with A. Mardegan, M.Vianello and R. Zanovello.
» [PDF],
» [PDF] -
Fast summation of power series with coefficients analytic at infinity,
⇥ Numerical Algorithms'', 27 (2001), 77-87.
» Joint paper with M. Vianello.
» .
» SCOPUS:2-s2.0-0035599990
» WOS:000170557900004
» ISSN: 1017-1398 -
Analisi costruttiva e numerica per una classe di equazioni di Hammerstein della teoria del trasporto,
⇥ Bollettino UMI, Supplemento Speciale Tesi di Dottorato. In italian.
» [PDF]
» SCOPUS:
» WOS:000172042500055
» ISSN: 0041-7084 -
Positive multiplication preserves dissipativity in commutative C* - algebras,
⇥ J. Inequal. Appl., 6 (2001), 247-251.
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS: -
Relaxed Picard-like methods for nonlinear integral equations arising in transport theory,
⇥ Applied and Industrial Mathematics. Venice 2, 1998, Kluwer Academic Publishers, Dordrecht (2000).
» Joint paper with M.Vianello and E.Facchinello.
» [PDF]
» SCOPUS:
» WOS:000088541800019
» ISBN:0-7923-6152-0 -
Computing positive fixed points of decreasing Hammerstein operators by relaxed iterations,
⇥ Journal of Integral Equations and Applications , 12 (2000), 95-112.
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-0348140240 -
Constructive approximation for a class of perturbed Hammerstein integral equations,
⇥ Nonlinear Analysis, n. 41 (2000), 177-185.
» Joint paper with M. Vianello.
» [PS]
» SCOPUS:2-s2.0-0034230622
» WOS:000087291600010
» ISSN: 0362-546X -
Constructive analysis of purely integral Boltzmann models,
⇥ Journal of Integral Equations and Applications, 11 (1999), 393-404.
» Joint paper with M. Vianello.
» [PDF]
» SCOPUS:2-s2.0-84875295860 -
Approximating fixed-points of decreasing operators in spaces of continuous functions,
⇥ Numerical Functional Analysis and Optimization, Volume 19, n. 5/6 (1998), 635-646.
» Joint paper with M. Vianello.
» [PS]
» SCOPUS:2-s2.0-0032115035
» WOS:000075252800013
» ISSN: 0163-0563
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