Alvise Sommariva
Lavori scientifici / Scientific papers
98. On zero sets of collocation determinants
» Status: in preparation.
» Joint work with F. Dell'Accio and M. Vianello.
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97. A new computational paradigm for cheap and stable discretized measure compression,
» Status: in preparation.
» Joint work with L. Rinaldi and M. Vianello.
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96. Cheap and stable quadrature on polyhedral elements.
⇥ Finite Elements in Analysis and Design, Volume 251, October 2025, 104409.
» Joint work with M. Vianello.
» PDF: url
» SCOPUS:
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» SCIMAGO: Q1 Applied Math. (SJR 2024: 1.008, H-Index: 94)
» RG: url
» SCHOLAR:
» IRIS:
» ARXIV: 2502.03446
» MATLAB: CheapQ at GitHub
» PRESENTATIONS:
95. Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions.
⇥ Mediterranean Journal of Mathematics, , Volume 22, article number 144, (2025).
» PDF: url,
» DOI: 10.1007/s00009-025-02918-y
» SCOPUS:
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» SCIMAGO: Q2, SJR24: 0.677, H-index: 42
» RG: url
» SCHOLAR:
» IRIS:
» ARXIV: 2503.00963
» MATLAB: Kansa_MQ.zip
» PRESENTATIONS:
» PDF: url
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» SCIMAGO: Q2 (SJR24: 0.688, H index: 149)
» RG: url
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» ARXIV: 2405.18550
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93. Polynomial meshes on algebraic sets.
⇥ Journal of Computational and Applied Mathematics, Volume 473, February 2026, 116870 .
» Joint work with L. Bialas-Ciez, A. Kowalska.
» PDF: pdf
» DOI: https://doi.org/10.1016/j.cam.2025.116870
» SCOPUS:
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» SCIMAGO: Q2 (SJR24: 0.688, H index: 149)
» RG: url
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» IRIS:
» ARXIV: 2501.10873
» MATLAB: MeshAlgebraicSets.zip
» PRESENTATIONS:
92. Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers,
⇥ Applied Mathematics Letters, Volume 168, September 2025, 109571
» Joint paper with M. Mohammadi and M. Vianello.
» PDF: url
» DOI: 10.1016/j.aml.2025.109571
» SCOPUS:
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» SCIMAGO: Q1 Applied Math. (SJR 2024: 0.987, H-Index: 116)
» RG: url
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» IRIS:
» ARXIV: 2410.03279
» MATLAB: KANSA TPS
» PRESENTATIONS:
» Status: submitted: January 5, 2025. Minor revision: March 18, 2025. Accepted for publication: March 30, 2025.
91. Adaptive RBF cubature by scattered data on spherical polygons,
» Status: submitted on January 13, 2025, under revision (July 2025).
» Joint paper R. Cavoretto, A. De Rossi and G. Elefante. Jo
90. Nonsingularity of unsymmetric Kansa matrices: random collocation by MultiQuadrics and Inverse MultiQuadrics,
⇥Mathematics and Computers in Simulation, Volume 234, August 2025, Pages 390-395
» Joint paper R. Cavoretto, F. Dell'Accio, A. De Rossi and M. Vianello.
» PDF: url
» DOI: 10.1016/j.matcom.2025.03.005
» SCOPUS:
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» SCIMAGO: Q1, Numerical Analysis (2023), 0.97.
» RG: url
» SCHOLAR: url
» IRIS:
» ARXIV: 2403.18017
» MATLAB:
» PRESENTATIONS:
89. Hybrid hyperinterpolation over general regions,
⇥ Calcolo, Volume 62, article number 3, (2025).
» Joint paper with C. An, J.-S. Ran.
» PDF: url
» DOI: 10.1007/s10092-024-00625-w
» SCOPUS:
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» ISSN:
» SCIMAGO: Q1, Algebra and Computer Theory (2023), 0.78.
» RG: url
» SCHOLAR:
» IRIS: 5b3f641a-8c39-4c93-93b6-a8eb36e2b0d7
» ARXIV: 2305.05863
» MATLAB: Hyper23.zip at Github, Hyper23.zip.
» PRESENTATIONS: On hyperinterpolation and its variants
88. Numerical cubature and hyperinterpolation over Spherical Polygons,
⇥ Applied Mathematics and Computations, Volume 495, 15 June 2025, 129335,
» PDF: url
» DOI: https://doi.org/10.1016/j.amc.2025.129335
» SCOPUS:
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» ISSN:
» SCIMAGO: Q1, Computational Mathematics (2023), 1.03
» RG:
» SCHOLAR: url
» IRIS: 69c04fbc-2e3a-4959-bcb9-dd837d246625
» ARXIV: 2403.05733
» MATLAB: github.com
» PRESENTATIONS:
87. Random sampling and polynomial-free interpolation by Generalized MultiQuadrics,
⇥ Journal of Approximation Theory, March 2025, 106119.
» Joint paper M. Vianello.
» PDF: url
» DOI: 10.1016/j.jat.2024.106119
» SCOPUS:
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» SCIMAGO: Q2, Numerical Analysis, 2023 (0.66)
» RG: url
» SCHOLAR: url
» IRIS: e1327c9c-168d-4d29-bbd7-bb49cfd3503a
» ARXIV:
» MATLAB:
» PRESENTATIONS:
86. Special Issue dedicated to Len Bos on the occasion of his 70th birthday,
⇥ Journal of Approximation Software, vol. 1 issue 2, 2024.
» Joint introduction with R. Cavoretto, A. De Rossi, F. Dell'Accio, and M. Vianello.
» PDF: url
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85. Special Issue dedicated to Len Bos on the occasion of his 70th birthday,
» Status: published on Dolomites Research Nodes on Approximation, vol. 17 issue 3, 2024.
» Joint introduction with F. Dell'Accio and M. Vianello.
» PDF: url
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84. Unisolvence of random Kansa collocation by Thin-Plate Splines for the Poisson equation,
⇥ Engineering Analysis with Boundary Elements, Volume 165, August 2024, 105773.
» Joint paper F. Dell'Accio and M. Vianello.
» PDF: url
» DOI: 10.1016/j.enganabound.2024.105773
» SCOPUS: 2-s2.0-85193826128
» WOS: 001265968500001
» ISSN:
» SCIMAGO: Q1 (engineering)
» RG: url
» SCHOLAR: url
» IRIS: 11577/3535865
» ARXIV: 2403.06646
» MATLAB:
» PRESENTATIONS:
83. Polynomial-free unisolvence of polyharmonic splines with odd exponent by random sampling,
⇥ Dolomites Research Notes in Approximation DRNA, volume 17, issue 3, 2024, pag. 45-47.
» Joint paper with M. Vianello
» PDF: url
» DOI: 10.14658/PUPJ-DRNA-2024-3-7
» SCOPUS: 2-s2.0-85204180010
» WOS: 001316088600001
» ISSN:
» SCIMAGO: Q2 (mathematics, miscellaneous)
» RG: url
» SCHOLAR: url
» IRIS: 4ede0053-cf8b-4a25-a77d-d54a25ce63c5
» ARXIV: 2401.13322
» MATLAB:
» PRESENTATIONS:
82. A note on polynomial-free unisolvence of polyharmonic splines at random points,
⇥ Applied Mathematics Letters, Volume 157, November 2024, 109161.
» Joint paper with L. Bos and M. Vianello
» PDF: url
» DOI: https://doi.org/10.1016/j.aml.2024.109161
» SCOPUS: 2-s2.0-85194171152
» WOS: 001247086700001
» ISSN:
» SCIMAGO: Q1 Applied Mathematics
» RG: url
» SCHOLAR:
» IRIS: 9637367c-b391-4957-98d6-3e9d1ca0f0d5
» ARXIV: 2312.13710
» MATLAB:
» PRESENTATIONS:
81. Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach,
⇥ Mathematics in Engineering, 6 (2024), 510-535.
» Joint paper with E. Artioli, G. Elefante and M. Vianello
» PDF: url
» DOI: https://doi.org/10.3934/mine.2024021
» SCOPUS: 2-s2.0-85200328593
» WOS: 001280221800001
» ISSN:
» SCIMAGO: Q1 (Mathematics, Mathematical Physics)
» RG: url
» SCHOLAR: url
» IRIS: c7e1199d-07a9-41cd-b04b-df84ade65589
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80. Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball,
⇥ Electronic Transactions in Numerical Analysis, 60 (2024), 428-445.
» Joint paper with L. Białas-Cież, D. Kenne and M. Vianello
» PDF: url
» DOI: 10.1553/etna_vol60s428
» SCOPUS: 2-s2.0-85204605346
» WOS:
» ISSN:
» SCIMAGO: Q2 Applied Mathematics, 2023 (0.69)
» RG: url
» SCHOLAR: url
» IRIS: 04b22e36-f4c0-4c98-8d81-f4b81d239504
» ARXIV: 2311.18656
» MATLAB: LEBEVAL at Github, LEBEVAL
» PRESENTATIONS:
79. CPOLYMESH: Matlab and Python codes for complex polynomial approximation by Chebyshev admissible meshes,
⇥ Journal of Approximation Software, Vol. 1. No. 2, 2024.
» Joint paper with D. Kenne and M. Vianello.
78. Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections,
⇥ Journal of Computational and Applied Mathematics, Volume 443, June 2024, 115766.
» Joint paper with L. Białas-Cież, D. Kenne and M. Vianello
» PDF: url
» DOI: https://doi.org/10.1016/j.cam.2024.115766
» SCOPUS: 2-s2.0-85182877071
» WOS: 001167914500001
» ISSN: 03770427
» SCIMAGO: Q2 (Applied Mathematics, 0.86 SJR 2023)
» RG: url
» SCHOLAR: url
» IRIS: bcfb2040-784f-4b6a-a9f7-a9712975a2e7
» ARXIV: 2311.06511
» MATLAB: CPOLYMESH at Github, CPOLYMESH at unipd.it
» PRESENTATIONS:
77. Numerical cubature on scattered data by adaptive interpolation,
⇥ Journal of Computational and Applied Mathematics, Volume 444, July 2024, 115793.
» Joint paper with R. Cavoretto, F. Dell'Accio, A. De Rossi, F. Di Tommaso, N. Siar, M. Vianello.
» PDF: url
» DOI: https://doi.org/10.1016/j.cam.2024.115793
» SCOPUS: 2-s2.0-85184148285
» WOS: 001172021000001
» ISSN: 03770427
» SCIMAGO: Q2 (Applied Mathematics, 0.86 SJR 2023)
» RG: url
» SCHOLAR: url
» IRIS: aa7a6091-db9b-4951-8312-58e6e5fc540b
» ARXIV: 2307.07203
» MATLAB: SCATTCUB at github, SCATTCUB at personal homepage.
» PRESENTATIONS:
76. Qsurf: compressed QMC integration on algebraic surfaces,
⇥ Journal of Approximation Software, Vol. 1 No. 1 (2024).
» Joint paper with G. Elefante, M. Vianello,
» PDF: url
» DOI:
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» RG: url
» SCHOLAR: url
» IRIS:
» ARXIV: 2304.08090
» MATLAB: Qsurf.zip
» PRESENTATIONS:
75. Tchakaloff-like compression of QMC volume and surface integration on union of balls,
⇥ Calcolo, Volume 61, article number 46, (2024).
» Joint paper with G. Elefante and M.Vianello
» PDF: url
» DOI: url
» SCOPUS: 2-s2.0-85198366762
» WOS: 001270196700001
» ISSN:
» SCIMAGO: Q1 Algebra and Number Theory, Q2 Numerical Analysis
» RG: url
» SCHOLAR: url
» IRIS: c989ddda-2aba-4027-b596-f5a6590b0e16
» ARXIV:
» MATLAB: qBubble_040323
» PRESENTATIONS: Constructive approximation of functions 3 (Krakow, Poland, 22-24 February 2023)
74. TetraFreeQ: tetrahedra-free quadrature on polyhedral elements,
⇥ Applied Numerical Mathematics, Volume 200, June 2024, Pages 389-398.
» Joint paper with with M. Vianello.
» PDF: url
» DOI: 10.1016/j.apnum.2023.07.003
» SCOPUS: 2-s2.0-85165688359
» WOS: 001229768400001
» ISSN:
» SCIMAGO: Q1, Applied Mathematics (21-12-23)
» RG: url
» SCHOLAR: url
» IRIS: url
» ARXIV: 2211.16620
» MATLAB: [MATLAB CODES (zip file)]
» PRESENTATIONS: FAATNA 20-> 22 (Matera, Italy, July 5-8, 2022)
73. Random sampling and unisolvent interpolation by almost everywhere analytic functions,
⇥ Applied Mathematics Letters, Volume 145, November 2023, 108734.
» Joint paper with with F. Dell'Accio and M. Vianello.
» PDF: url
» DOI: 10.1016/j.aml.2023.108734
» SCOPUS: 2-s2.0-85161698604
» WOS: 001020399000001
» ISSN: 08939659
» SCIMAGO: Q1, Applied Mathematics
» RG: url
» SCHOLAR: url
» IRIS: 941d0e18-17b9-4997-99e3-59265beb4d4d
» ARXIV: 2303.14074
» MATLAB:
» PRESENTATIONS:
72. Low cardinality Positive Interior cubature on NURBS-shaped domains,
⇥ BIT Numerical Mathematics, Volume 63, article number 22, (2023).
» Joint paper with M. Vianello
» PDF: url
» DOI: 10.1007/s10543-023-00958-y
» SCOPUS: 2-s2.0-85150411431
» WOS: 000954399200001
» ISSN:
» SCIMAGO: Q1, Applied Mathematics, SJR 2021: 1.04 (02-04-23)
» RG: url
» ARXIV: url
» SCHOLAR: url
» IRIS: a0b626d3-c7d5-490e-a788-667ce9ad1ea8
» Matlab sources: [MATLAB CODES (zip file)]
» Presentation sources: [PDF (Beamer)]
71. Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday (introduction of the special issue)
⇥ Dolomites Research Notes on Approximation DRNA 15 (2022), Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday, pages i-v.
» Joint work with L. Bos, F. Dell'Accio, G. Elefante, W. Erb, F. Marchetti, E. Perracchione, D. Poggiali, G. Santin
» PDF: url
» DOI:
» SCOPUS: 2-s2.0-85143966479
» WOS:
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» IRIS: -
70. Cubature rules with positive weights on union of disks,
⇥ Dolomites Research Notes on Approximation, Volume 15, Issue 4, 2022, pp. 73-81
» Joint paper with M. Vianello
» PDF: url
» DOI: 10.14658/pupj-drna-2022-4-7
» SCOPUS: 2-s2.0-85143983360
» WOS: 000979615400009
» ISSN:
» SCIMAGO: Q2, Applied Mathematics, SJR 2021: 0.57 (02-04-23)
» SCHOLAR: url
» IRIS: url
» Matlab sources: [MATLAB CODES (zip file)]
69. CQMC: an improved code for low-dimensional Compressed Quasi-MonteCarlo cubature,
⇥ Dolomites Research Notes on Approximation, Volume 15, Issue 2, 2022, pp. 92-100 (Special Issue "Software for Approximation 2022")
» Joint paper with G. Elefante and M. Vianello;
» PDF: url
» DOI: 10.14658/pupj-drna-2022-2-8
» SCOPUS: 2-s2.0-85139871684
» WOS:
» ISSN: 20356803
» SCIMAGO: Q2, Applied Mathematics, SJR 2021: 0.57 (02-04-23)
» RG: url
» ARXIV:
» SCHOLAR: url
» IRIS: url
» Matlab sources:ROUTINES_2D.zip [MATLAB CODES], ROUTINES_3D.zip [MATLAB CODES].
68. 5-th Dolomites Workshop on Constructive Approximation and Applications. Special Issue dedicated to Robert Schaback on the occasion of his 75th birthday (introduction of the special issue)
⇥ Dolomites Research Notes on Approximation DRNA 15 (2022), Special Issue dedicated to Robert Schaback on the occasion of his 75th birthday, pages i-iii.
» Joint work with F. Marchetti, E.Perracchione and G. Santin;
» PDF: url
» DOI: 10.14658/pupj-drna-2022-3-1
» SCOPUS: 2-s2.0-85140779861
» WOS:
» ISSN:
» SCIMAGO: Q2, Applied Mathematics, SJR 2021: 0.57 (02-04-23)
» RG:
» ARXIV:
» SCHOLAR:
» IRIS: url
67. inRS: implementing the indicator function for NURBS-shaped planar domains
⇥ Applied Mathematics Letters, Volume 130, August 2022, 108026.
» Joint paper with M. Vianello;
» PDF: url
» DOI: 10.1016/j.aml.2022.108026
» SCOPUS: 2-s2.0-85116904796
» WOS: 000801711500019
» ISSN:
» SCIMAGO: Q1, Applied Mathematics, SJR 2020: 1.44 (15-10-21)
» RG: url
» ARXIV: url
» SCHOLAR: url
» IRIS: url
» Matlab sources: [MATLAB CODES (zip file)]
» Presentation sources: [PDF (Beamer)]
66. RBFCUB: a numerical package for near-optimal meshless cubature on general polygons,
⇥ Applied Mathematics Letters, Volume 125, March 2022, 107704.
» Joint paper with with R. Cavoretto, A. De Rossi and M. Vianello
» PDF: url
» DOI: 10.1016/j.aml.2021.107704
» SCOPUS: 2-s2.0-85116904796
» WOS: 000708115400004
» ISSN:
» SCIMAGO: Q1, Applied Mathematics, SJR 2020: 1.44 (15-10-21)
» RG: url
» SCHOLAR:
» IRIS: url
» Matlab sources: [MATLAB CODES (zip file)]
65. Near-optimal polynomial interpolation on spherical triangles,
⇥ Mediterranean Journal of Mathematics, 9, 2022, article 68.
» Joint paper with with M. Vianello
» PDF: url
» DOI: 10.1007/s00009-022-01987-7
» SCOPUS: 2-s2.0-85125335413
» WOS: 000758109100001
» ISSN:
» SCIMAGO: Q2 Mathematics (miscellaneous), SJR 2020: 0.7
» RG: url
» SCHOLAR:
» IRIS: url
» Matlab sources: [MATLAB CODES (zip file)]
» Matlab sources at mirrors: [MATLAB CODES (zip file), at Github]
64. On "marcov" inequalities,
⇥ Dolomites Research Notes on Approximation, Volume 14, issue 1, 2021, pp. 92-100.
» Joint paper with L. Bos and S. De Marchi.
» PDF: url (see also: DRNA homepage)
» DOI: http://dx.doi.org/10.14658/pupj-drna-2021-1-8
» SCOPUS: 2-s2.0-85118235615
» WOS:
» ISSN: 20356803.
» SCIMAGO: Q2, Applied Mathematics, SJR 2021: 0.57 (02-04-23)
» RG: url
» SCHOLAR:
» IRIS: url
63. Numerical hyperinterpolation over spherical triangles,
⇥ Mathematics and Computers in Simulation, Volume 190, December 2021, pp. 15-22.
» Joint paper with with M. Vianello
» PDF: url
» DOI: 10.1016/j.matcom.2021.05.003
» SCOPUS: 2-s2.0-85099821558
» WOS: 000690878300002
» ISSN: 03784754
» SCIMAGO: Q1: Computer Science (miscellaneous), SJR 2020: 0.54
» RG: url
» SCHOLAR: url (06-02-21)
» IRIS: url
» Matlab sources: [.zip],
» Matlab sources at mirrors: [MATLAB CODES (zip file), at Github]
62. Near-algebraic Tchakaloff-like quadrature on spherical triangles,
⇥ Applied Mathematics Letters, Volume 120, October 2021, 107282.
» Joint paper with with M. Vianello
» PDF: url
» DOI: 10.1016/j.aml.2021.107282
» SCOPUS: 2-s2.0-85104302500
» WOS: 000663082700037: 2 citations
» ISSN: 08939659
» SCIMAGO: Q1, Applied Mathematics, SJR 2019: 1.46 (28-03-21)
» RG: url
» SCHOLAR: url (06-02-21)
» IRIS: url
» Matlab sources: [.zip]
61. RBF moment computation and meshless cubature on general polygonal regions,
⇥ Applied Mathematics and Computation, Volume 409, 15 November 2021, 126375.
» Joint paper with with M. Vianello
» PDF: url
» DOI: 10.1016/j.amc.2021.126375
» SCOPUS: 2-s2.0-85107111573
» WOS: 000715743900024: 1 citation
» ISSN: 00963003
» SCIMAGO: Q1, Applied Mathematics, SJR 2019: 0.97 (09-07-21)
» RG: url
» SCHOLAR: url (06-02-21)
» IRIS: url
» Matlab sources: [.zip]
60. Computing Tchakaloff-like cubature rules on spline curvilinear polygons,
⇥ Dolomites Research Notes on Approximation DRNA, Volume 14, 2021, pp. 1-11.
» Joint paper with with M. Vianello
» PDF: url
» DOI: 10.14658/pupj-drna-2021-1-1
» SCOPUS: -
» WOS: 000611656800001: 2 citations
» ISSN: 20356803
» SCIMAGO: Q2, Applied Mathematics, SJR 2021: 0.57 (02-04-23)
» RG: url
» SCHOLAR: url (06-02-21)
» IRIS: url
» Matlab sources: [.zip]
59. Algebraic cubature on polygonal elements with a circular edge,
⇥ Computers Mathematics with Applications, Volume 79, Volume 7, 1 April 2020, pp. 2057-2066.
» Joint paper with with E. Artioli and M. Vianello
» PDF: url
» DOI: 10.1016/j.camwa.2019.10.022
» SCOPUS: 2-s2.0-85075421800. Citations: 3, field-weighted citation: 2.83
» WOS: 000522097300012 Citations: 5
» ISSN: 08981221
» SCIMAGO: Q1, Computational Mathematics, SJR 2017: 1 (January 2020)
» RG: url
» SCHOLAR: SCHOLAR: url (9 citations, 06-02-21)
» IRIS: url
58. Quadrature-based polynomial optimization,
⇥ Optimization Letters, Volume 14, 2020, pp. 1027-1036,
» Joint paper with A. Martinez Calomardo, F. Piazzon and M. Vianello.
» Co-winner of the OPTL Best Paper Awards for 2020.
» PDF: url
» DOI: 10.1007/s11590-019-01416-x
» SCOPUS: 2-s2.0-85062652547. Citations: 3 Field Weighted Citation: 2.53
» WOS: 000541342200001. Citations: 2.
» ISSN: Online: 1862-4480, Print: 1862-4472
» SCIMAGO: Q2, Control and Optimization, SJR 2017: 0.72 (March 2019)
» RG: url
» SCHOLAR: SCHOLAR: url (4 citations, 06-02-21)
» IRIS: url
57. Compressed cubature over polygons with applications to optical design,
⇥ Journal of Computational and Applied Mathematics, Volume 370, 2020, 112658.
» Joint paper with B. Bauman (LLNL, USA) and M. Vianello.
» PDF: url
» DOI: 10.1016%2Fj.cam.2019.112658
» SCOPUS: 2-s2.0-85077066238
» WOS:
» ISSN: 03770427
» SCIMAGO: Q2, Applied Mathematics, SJR 2017: 0.85 (January 2020)
» RG: url
» SCHOLAR: url (2 citations, 06-02-21)
» IRIS: url
» Matlab sources: [.zip]
56. On the computation of sets of points with low Lebesgue constant on the unit disk,
⇥ Journal of Computational and Applied Mathematics, Volume 345, 2019, pp. 388-404. (Open Access)
» Joint paper with G. Meurant.
» PDF: url
» 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)
» RG: url
» SCHOLAR: url (2 citations, 06-02-21)
» IRIS: url
55. Discrete norming inequalities on sections of sphere, ball and torus,
⇥ Journal of Inequalities and Special Functions, Volume 9, 2018, pp. 113-121.
» Joint paper with M. Vianello.
» PDF: url
» MATLAB: [MATLAB CODES (zip file)]
» DOI: -
» SCOPUS: -
» WOS: 000454338200010
» ISSN: 2217-4303
» SCIMAGO: -
» ARXIV: 1802.01711
» SCHOLAR: url (4 citations, 06-02-21)
» IRIS: url
54. Nearly optimal nested sensors location for polynomial regression on complex geometries,
⇥ Sample Theory Signal Image Processing, Volume 17, 2018, pp. 95-101.
» Joint paper with M. Vianello.
» PDF: url
» Matlab: [MATLAB CODES (zip file)]
» DOI: -
» SCOPUS: -
» WOS: -
» ISSN: 1530-6429
» SCIMAGO: Q4, Algebra and Number theory, SJR 2017: 0.15 (March 2019)
» SCHOLAR: url (6 citations, 06-02-21)
» IRIS: url
53. 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: url
» DOI: 10.1007/978-3-319-72456-0_13
» SCOPUS: 2-s2.0-85053994029
» WOS: -
» ISSN: -
» ISBN: 978-331972456-0;978-331972455-3
» SCHOLAR: url (06-02-21)
» IRIS: url
52. 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: url
» DOI: 10.1109/SAMPTA.2017.8024337
» SCOPUS: 2-s2.0-85031692512. Citations: 8, F-WC: 2.51.
» WOS: 000426975000141
» ISSN: -
» ISBN: 978-153861565-2
» SCHOLAR: url (8 citations, 06-02-21)
» IRIS: url
51. Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere,
⇥ Dolomites Research Notes on Approximation DRNA, Volume 10, 2017, pp. 18-24.
» Joint paper with P. Leopardi and M. Vianello.
» PDF: url,
» DOI: http://dx.doi.org/10.14658/pupj-drna-2017-Special_Issue-4,
» SCOPUS: 2-s2.0-85019644284. Citations: 1. F-WC: 0.22.
» WOS: 000403961900005
» ISSN: 2035-6803.
» ARXIV: 1612.04952
» SCHOLAR: url (3 citations, 06-02-21)
» IRIS: url
50. Caratheodory-Tchakaloff Subsampling,
⇥ Dolomites Research Notes on Approximation DRNA 10 (2017), 5-14.
» Joint paper with F. Piazzon and M. Vianello.
» PDF: url,
» DOI: 10.14658/pupj-drna-2017-1-2,
» SCOPUS: 2-s2.0-85018265874. Citations: 12, F-WC: 2.37.
» WOS: 000402109700001
» ISSN:
» ARXIV: 1611.02065
» SCHOLAR: url (06-02-21)
» IRIS: url
49. Subperiodic trigonometric subsampling: a numerical approach,
⇥ Applicable Analysis and Discrete Mathematics 11 (2017), 470-483. (Open Access)
» Joint paper with M. Vianello.
» PDF: url
» [MATLAB CODES (zip file)]
» DOI: 10.2298/AADM1702470S
» SCOPUS: 2-s2.0-85031897864
» WOS: 000414668600016
» ISSN: 14528630
» SCHOLAR: url (06-02-21)
» IRIS: url
» SCIMAGO: Q2 SJR 0.48
48. On the use of compressed polyhedral quadrature formulas in embedded interface methods,
⇥ SIAM Journal Scientific Computing, 39(3), B571-B587, (2017) (Open Access)
» Joint paper with Y. Sudhakar, W.A. Wall and M. Vianello.
» PDF: url
» DOI: 10.1137/16M1085206
» SCOPUS: 2-s2.0-85021788971. Citations: 4.
» WOS: 000404763200006
» ISSN: 1064-8275
» eISSN: 1095-7197
» SCHOLAR: url (6 citations, 06-02-21)
» IRIS: url
47. Numerical quadrature on the intersection of planar disks,
⇥ FILOMAT 31:13 (2017), 4105--4115 (open access)
» Joint paper with M. Vianello.
» PDF: url
» DOI: 10.2298/FIL1713105S
» SCOPUS: 2-s2.0-85034649171
» WOS:
» ISSN: 03545180
» SCHOLAR: url (2 citations, 06-02-21)
» IRIS: url
46. Polynomial approximation and quadrature on geographic rectangles,
⇥ Applied Mathematics and Computation 297 (2017), 159-179.
» Joint paper with M. Gentile and M. Vianello.
» PDF: url
» DOI: 10.1016/j.amc.2016.08.014
» SCOPUS: 2-s2.0-85000786752. Citations: 6, F-WC: 0.9.
» WOS: 000389591600014
» ISSN: 0096-3003
» eISSN: 1873-5649
» SCHOLAR: url (11 citations, 06-02-21)
» IRIS: url
» MATLAB: [MATLAB CODES (zip file), interpolation] [MATLAB CODES (zip file), cubature]
45. Numerical hyperinterpolation over nonstandard planar regions,
⇥ Mathematics and Computers in Simulation 141 (2017), 110-120. (Open Access)
» Joint paper with M. Vianello.
» PDF: url
» DOI: 10.1016/j.matcom.2016.07.009
» SCOPUS: 2-s2.0-84994302358. Citations: 2.
» WOS: 000408783100010
» ISSN: 0378-4754
» eISSN: 1872-7166
» SCHOLAR: url (4 citations, 06-02-21)
» IRIS: url
43. Compression of multivariate discrete measures and applications,
⇥ Numerical Functional Analysis and Optimization, 36 (2015), 1198-1223. (Open Access)
» Joint paper with M. Vianello
» PDF: url,
» DOI: 10.1080/01630563.2015.1062394,
» SCOPUS: 2-s2.0-84940403852. Citations: 24, F-WC: 1.64.
» WOS: 000360486800007
» ISSN: 0163-0563
» eISSN: 1532-2467
» SCHOLAR: url (33 citations, 06-02-21)
» IRIS: url
42. Polynomial fitting and interpolation on circular sections,
⇥ Applied Mathematics and Computations 258 (2015), 410-424.
» Joint paper with M. Vianello.
» PDF: url
» DOI: 10.1016/j.amc.2015.02.013
» SCOPUS: 2-s2.0-84923917436. Citations: 11, F-WC: 1.43.
» WOS: 000351668500039
» ISSN: 0096-3003
» eISSN: 1873-5649
» SCHOLAR: url (15 citations, 06-02-21)
» IRIS: url
41. Multivariate Christoffel functions and hyperinterpolation,
⇥ Dolomites Research Notes on Approximation DRNA 7 (2014), 26-33. (Open Access)
» Joint paper with S. De Marchi and M. Vianello.
» PDF: url
» ISSN: 2035-6803,
» DOI: 10.14658/pupj-drna-2014-Special_Issue-6
» SCOPUS: 2-s2.0-84922638261. Citations: 4, F-WC: 0.30.
» ISSN: 2035-6803
» SCHOLAR: url (10 citations, 06-02-21)
40. Fast variants of the Golub and Welsch algorithm for symmetric weight functions,
⇥ Numerical Algorithms, 67, Issue 3 (2014), 491-506.
» Joint paper with G. Meurant.
» PDF: url
» MATLAB: [MATLAB CODES (zip file)]
» DOI: 10.1007/s11075-013-9804-x
» SCOPUS: 2-s2.0-84946399323. Citations: 7, F-WC: 1.27.
» WOS: 000344598600002
» ISSN: 1017-1398
» eISSN: 1572-9265
» SCHOLAR: url (10 citations, 06-02-21)
39. Fast Construction of Fejer and Clenshaw-Curtis rules for general weight functions,
⇥ Computers Mathematics with Applications, Volume 65, Issue 4, February 2013, Pages 682-693.(Open Access)
» PDF: url
» [MATLAB CODES (zip file)]
» DOI: 10.1016/j.camwa.2012.12.004
» SCOPUS: 2-s2.0-84873178211. Citations: 13, F-WC: 0.62.
» WOS: 000315425100012
» ISSN: 0898-1221
» eISSN: 1873-7668
» SCHOLAR: url (26 citations, 06-02-21
38. Algebraic cubature by linear blending of elliptical arcs,
⇥ Applied Numerical Mathematics, 74 (2013), 49-61. (Open Access)
» Joint paper with G. Da Fies and M. Vianello.
» PDF: url
» [MATLAB CODES (zip file)]
» DOI: 10.1016/j.apnum.2013.08.003
» SCOPUS: 2-s2.0-84883895589. Citations: 12, F-WC: 0.75.
» WOS: 000328098200004
» ISSN: 0168-9274
» eISSN: 1873-5460
» SCHOLAR: url (25 citations, 06-02-21)
» IRIS: url
37. Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder,
⇥ Applied Mathematics and Computations, Vol. 218 (2012), 10617-10629. (Open Access)
» Joint paper with S. De Marchi and M. Marchioro.
» url
» DOI: doi: https://doi.org/10.1016/j.amc.2012.04.023
» SCOPUS: 2-s2.0-84861795109. Citations: 9, F-WC: 0.74.
» WOS: 000304903000024
» ISSN: 0096-3003
» SCHOLAR: url (16 citations, 05-02-21)
» IRIS: url
36. Computing almost minimal formulas on the square,
⇥ Journal of Computational and Applied Mathematics 236 (2012), 4296-4302. (Open Access)
» Joint paper with M. Festa.
» PDF: url
» DOI: 10.1016/j.cam.2012.05.021
» SCOPUS: 2-s2.0-84862843016. Citations: 5, F-WC: 0.74.
» WOS: 000307027700010
» ISSN: 0377-0427
» SCHOLAR: url (10 citations, 06-02-21)
» IRIS: url
35. On the generation of symmetric Lebesgue points in the triangle,
⇥ Journal of Computational and Applied Mathematics 236 (2012), 4925-4932 (Open Access)
» Joint paper with F. Rapetti and M. Vianello.
» PDF: url
» DOI: 10.1016/j.cam.2011.11.023
» SCOPUS: 2-s2.0-84863981410. Citations: 6, F-WC: 0.82.
» WOS: 000307425900030
» ISSN: 0377-0427
» SCHOLAR: url (9 citations, 06-02-21)
» IRIS: url
34. Computing Fekete and Lebesgue points: Simplex, square, disk,
⇥ Journal of Computational and Applied Mathematics 236 (2012), 2477-2486. (Open Access)
» Joint paper with M. Briani and M. Vianello.
» PDF: url
» DOI: 10.1016/j.cam.2011.12.006
» SCOPUS: 2-s2.0-84856217885. Citations: 24, F-WC: 1.84.
» WOS: 000300863800020
» ISSN: 0377-0427
» SCHOLAR: url (46 citations, 06-02-21)
» IRIS: url
32. 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: url
31. Polynomial interpolation and cubature over polygons,
⇥ Journal of Computational and Applied Mathematics 235 (2011), 5232-5239. (Open Access)
» Joint paper with M. Gentile and M. Vianello.
» PDF: url
» DOI: 10.1016/j.cam.2011.05.013
» SCOPUS: 2-s2.0-79960049592. Citations: 19, F-WC: 0.73.
» WOS: 000293432300027
» ISSN: 0377-0427
» SCHOLAR: url (29 citations, 06-02-21)
» IRIS: url
30. An algebraic cubature formula on curvilinear polygons,
⇥ Applied Mathematics and Computations, 217 (2011), 10003-10015, (Open Access)
» Joint paper with G. Santin and M. Vianello.
» PDF: url,
» DOI: 10.1016/j.amc.2011.04.071
» SCOPUS: 2-s2.0-80955178375. Citations: 9, F-WC: 0.55.
» WOS: 000291680400015
» ISSN: 0096-3003
» SCHOLAR: url (13 citations, 06-02-21)
» IRIS: url
29. Least-squares polynomial approximation on weakly admissible meshes: disk and triangle,
⇥ Journal of Computational and Applied Mathematics 235 (2010), 660-668, (Open Access)
» Joint paper with L. Bos and M. Vianello.
» PDF: url
» DOI: 10.1016/j.cam.2010.06.019
» SCOPUS: 2-s2.0-77957907903. Citations: 13, F-WC: 1.28.
» WOS: 000282394500010
» ISSN: 0377-0427
» SCHOLAR: url (27 citations, 06-02-21)
» IRIS: url
28. Weakly Admissible Meshes and Discrete Extremal Sets,
⇥ Numerical Mathematics Theory Methods Applications, 4 (2011) 1-12, (Open Access)
» Joint paper with L. Bos, S. De Marchi and M.Vianello.
» PDF: url.
» DOI: 10.4208/nmtma.2011.m1003
» SCOPUS: 2-s2.0-79960433016. Citations: 29, F-WC: 0.99.
» WOS: 000289959100001
» ISSN: 1004-8979
» SCHOLAR: url (53 citations, 06-02-21)
» IRIS: url
27. Computing multivariate Fekete and Leja points by numerical linear algebra,
⇥ SIAM Journal Numerical Analysis, 48 (2010), 1984-1999. (Open Access)
» Joint paper with L. Bos, S. De Marchi and M.Vianello.
» PDF: url
» DOI: 10.1137/090779024
» SCOPUS: 2-s2.0-78649910368. Citations: 57, F-WC: 2.44.
» WOS: 000284761200016
» ISSN: 0036-1429
»SCHOLAR: url (109 citations, 06-02-21)
» IRIS: url
26. Approximate Fekete points for weighted polynomial interpolation,
⇥ Electronic Transactions Numerical Analysis, 37 (2010), (Open Access)
» Joint paper with M. Vianello.
» PDF: url
» DOI:
» SCOPUS: 2-s2.0-78649931686. Citations: 8, F-WC: 0.97.
» WOS: 000285976700001
» ISSN: 1068-9613
» SCHOLAR: url (20 citations, 06-02-21)
» IRIS: url
25. Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave,
⇥ Numerical Algorithms, 56 (2011), 45-60. (Open Access)
» Joint paper with M. Caliari, S. De Marchi and M.Vianello.
» PDF: url
» DOI: 10.1007/s11075-010-9373-1
» SCOPUS: 2-s2.0-78650216760. Citations: 27, F-WC: 1.03.
» WOS: 000285155700004
» ISSN: 1017-1398
» SCHOLAR: url (45 citations, 06-02-21)
» IRIS: url
24. Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points,
⇥ Mathematics of Computation, 80 (2011), 1601-1621. (Open Access)
» Joint paper with L. Bos, J.P. Calvi, N. Levenberg and M.Vianello.
» PDF: url
» DOI: 10.1090/S0025-5718-2011-02442-7.
» SCOPUS: 2-s2.0-79955664955. Citations: 49, F-WC: 4.66.
» WOS: 000291704900015
» ISSN: 0025-5718
» ARXIV: 0902.0215
» SCHOLAR: url (88 citations, 06-02-21)
» IRIS: url
23. Computing approximate Fekete points by QR factorisations of Vandermonde matrices,
⇥ Computers Mathematics with Application, 57 (2009), 1324-1336. (Open Access)
» Joint paper with M. Vianello.
» PDF: url
» DOI: 10.1016/j.camwa.2008.11.011
» SCOPUS: 2-s2.0-62249119185. Citations: 52, F-WC: 2.23.
» WOS: 000265317900009
» ISSN: 0898-1221
» SCHOLAR: url (89 citations, 06-02-21)
» IRIS: url
22. Gauss-Green cubature and moment computation over arbitrary geometries,
⇥ Journal of Computational and Applied Mathematics, 231 (2009), 886-896, (Open Access)
» Joint paper with M. Vianello.
» DOI: 10.1016/j.cam.2009.05.014
» SCOPUS: 2-s2.0-67949109543. Citations: 37, F-WC: 0.56.
» WOS: 000268515000034
» ISSN: 0377-0427
» SCHOLAR: url (60 citations, 06-02-21)
» IRIS: url
21. 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.
» PDF: url
20. Nontensorial Clenshaw-Curtis cubature,
⇥ Numerical Algorithms, 49 (2008), 409-427. (Open Access)
» Joint paper with M. Vianello and R. Zanovello.
» PDF: url
» DOI: 10.1007/s11075-008-9203-x
» SCOPUS: 2-s2.0-55349114756. Citations: 13, F-WC: 0.89.
» WOS: 000260618800024
» ISSN: 1017-1398
» SCHOLAR: url (23 citations, 06-02-21)
» IRIS: url
19. Meshless cubature over the disk by Thin-Plates Splines,
⇥ Journal of Computational and Applied Mathematics, 221 (2008), 430-436. (Open Access)
» Joint paper with A. Punzi and M. Vianello.
» PDF: url
» DOI: 10.1016/j.cam.2007.10.023
» SCOPUS: 2-s2.0-52149087731. Citations: 8.
» WOS: 000260360600016
» ISSN: 0377-0427
» SCHOLAR: url (9 citations, 06-02-21)
» IRIS: url
18. Approximation on the sphere using radial basis functions plus polynomials,
⇥ Advances in Computational Mathematics, Volume 29, Number 2 / August (2008), 147-177. (Open Access)
» Joint paper with I.H. Sloan.
» PDF: url
» DOI: 10.1007/s10444-007-9048-1
» SCOPUS: 2-s2.0-47249116177. Citations: 19, F-WC: 1.00.
» WOS: 000257587300004
» ISSN: 1019-7168
» SCHOLAR: url (28 citations, 06-02-21)
» IRIS: url
17. Product Gauss cubature over polygons based on Green's integration formula,
⇥ BIT Numerical Mathematics, 47 (2007), 441-453 (Open Access)
» Joint paper with M. Vianello.
» PDF: url
» DOI: 10.1007/s10543-007-0131-2
» SCOPUS: 2-s2.0-34250896791. Citations: 47, F-WC: 1.10.
» WOS: 000247256900013
» ISSN: 0006-3835
» SCHOLAR: url ( citations, 06-02-21)
» IRIS: url
16. Meshless cubature by Green's formula,
⇥ Applied Mathematics and Computation, Volume 183, Issue 2, 15 December 2006, 1098-1107, (Open Access)
» Joint paper with M. Vianello
.» PDF: url
» DOI: 10.1016/j.amc.2006.05.211
» SCOPUS: 2-s2.0-33845761052. Citations: 11, F-WC: 0.72.
» WOS: 000244051100039
» ISSN: 0096-3003
» SCHOLAR: url (18 citations, 06-02-21)
» IRIS: url
14. Numerical cubature on scattered data by Radial Basis Functions,
⇥ Computing, 76 (2005), 295-310.
» Joint paper with M. Vianello.
» PDF: url
» DOI: 10.1007/s00607-005-0142-2
» SCOPUS: 2-s2.0-29144523574. Citations: 16, F-WC: 0.60.
» WOS: 000234020100006
» ISSN: 0010-485X
» SCHOLAR: url (38 citations, 06-02-21)
» IRIS: url
13. On the numerical solution of some semilinear elliptic problems II,
⇥ Computing, 74 (2005), 159-175.
» Joint paper with Kendall Atkinson.
» PDF: url
» DOI: 10.1007/s00607-004-0094-y
» SCOPUS: 2-s2.0-17144425010. Citations: 6. F-WC: 0.60.
» WOS: 000227964900004
» ISSN: 0010-485X
» SCHOLAR: url (7 citations, 06-02-21)
» IRIS: url
12. Quadrature over the sphere,
⇥ Electronic Transactions in Numerical Analysis, 20 (2005), 104-118.
» Joint paper with Kendall Atkinson.
» PDF: url
» DOI:
» SCOPUS: 2-s2.0-29344469815. Citations: 9, F-WC: 0.95.
» WOS: 000234240200007
» ISSN: 1068-9613
» SCHOLAR: url (11 citations, 06-02-21)
» IRIS: url
11. Adaptive bivariate Chebyshev approximation,
⇥ Numerical Algorithms, 38 (2005), 70-94. (Open Access)
» Joint paper with M. Vianello and R. Zanovello.
» PDF: url
» DOI: 10.1007/s11075-004-2859-y
» SCOPUS: 2-s2.0-23944516602. Citations: 9. F-WC: 0.79.
» WOS: 000227040600007
» ISSN: 1017-1398
» SCHOLAR: url (13 citations, 06-02-21)
» IRIS: url
10. A fast Nystrom-Broyden solver by Chebyshev compression,
⇥ Numerical Algorithms, 38 (2005), 47-60.
» PS: url
» DOI: 10.1007/s11075-004-2857-0
» SCOPUS: 2-s2.0-23944495382. Citations: 8. F-WC: 0.26.
» WOS: 000227040600005
» ISSN: 1017-1398
» SCHOLAR: url (9 citations, 06-02-21)
» IRIS: url
9. A fast Nystrom-Broyden solver by Chebyshev compression,
⇥ NACoM-2003 Extended Abstracts/ANACM issue:1, vol.1, Wiley-VCH.
» PDF: url
» DOI:
» SCOPUS:
» WOS:
» ISSN:
» SCHOLAR:
» IRIS:
7. Fast summation of power series with coefficients analytic at infinity,
⇥ Numerical Algorithms, 27 (2001), 77-87.
» Joint paper with M. Vianello.
» PDF:
» DOI: 10.1023/A:1016738517989
» SCOPUS: 2-s2.0-0035599990. Citations: 9, F-WC: 0.79.
» WOS: 000170557900004
» ISSN: 1017-1398
» SCHOLAR: url (06-02-21)
» IRIS: url
» SCIMAGO: Q2 SJR 0.83 (March 2025)
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.
4. Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations,
⇥ Journal of Integral Equations and Applications, 12 (2000), 95-112. (Open Access)
» Joint paper with M. Vianello.
» PDF: url
» DOI: 10.1216/jiea/1020282136
» SCOPUS: 2-s2.0-0348140240. Citations: 5.
» SCIMAGO: Q3 , SJR 0.38 (March 25)
» SCHOLAR: url (9 citations, 06-02-21)
» IRIS: url
3. Constructive approximation for a class of perturbed Hammerstein integral equations,
⇥ Nonlinear Analysis Theory Methods and Applications, n. 41 (2000), 177-185.
» Joint paper with M. Vianello.
» PDF: [PS]
» DOI: 10.1016/S0362-546X(98)00272-7
» SCOPUS: 2-s2.0-0034230622. Citations: 1.
» WOS: 000087291600010
» ISSN: 0362-546X
» SCHOLAR: url (6 citations, 06-02-21)
» SCIMAGO : Q1, SJR 1.28 (March 2025)
» IRIS: url
2. Constructive analysis of purely integral Boltzmann models,
⇥ Journal of Integral Equations and Applications, 11 (1999), 393-404. (Open Access)
» Joint paper with M. Vianello.
» PDF: url,
» DOI: 10.1216/jiea/1181074284
» SCOPUS: 2-s2.0-84875295860, citations 3.
» ISSN: 08973962
» SCHOLAR: url (6 citations, 06-02-21)
» SCIMAGO: Q3 , SJR 0.38 (March 25)
» IRIS: url
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.
» PDF: [PS]
» DOI: 10.1080/01630569808816850
» SCOPUS: 2-s2.0-0032115035, citations 6.
» WOS: 000075252800013
» ISSN: 0163-0563
» SCHOLAR: url (10 citations, 06-02-21)
» IRIS: url