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Constructive Approximation and Applications" (CAA) Home
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Publications and preprints of the CAA group 2005-present
(downloadable pdf)
submitted
-
Computing optimal experimental designs on finite sets
by log-determinant gradient flow
arXiv preprint 2201.03042 - F. Piazzon
-
inRS: implementing the indicator function of NURBS-shaped
planar domains
draft - A. Sommariva and M. Vianello
-
A mu-mode BLAS approach for multidimensional tensor-structured problems
arXiv preprint 2112.11238 - M. Caliari, F. Cassini and F. Zivcovich
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A mu-mode integrator for solving evolution equations in Kronecker form
arXiv preprint 2103.01691 - M. Caliari, F. Cassini, L. Einkemmer,
A. Ostermann and
F. Zivcovich
-
A stochastic extended Rippa's algorithm for LpOCV
arXiv preprint 2111.10782 - L. Ling and F. Marchetti
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Convergence analysis for image interpolation in terms of the cSSIM
arXiv preprint 2108.03879 - F. Marchetti and G. Santin
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Efficient Reduced Basis Algorithm (ERBA) for kernel-based approximation
arXiv preprint 2107.03112 - F. Marchetti and E. Perracchione
-
Low-cardinality Positive Interior cubature on NURBS-shaped domains
draft - A. Sommariva and M. Vianello
-
Graph Wedgelets: Adaptive Data Compression on Graphs
based on Binary Wedge Partitioning Trees and Geometric Wavelets
arXiv preprint 2110.08843 - W. Erb
-
On Kosloff
Tal-Ezer least-squares quadrature formulas
arXiv preprint 2109.13138 - G. Cappellazzo, W. Erb, F. Marchetti and
D. Poggiali
-
Greedy algorithms for exponential-polynomial splines
reduced models
draft - S. De Marchi, R. Campagna, E. Perracchione and G. Santin
-
Kernel-Based Models for Influence Maximization on Graphs based
on Gaussian Process Variance Minimization
arXiv preprint 2103.01575 - S. Cuomo, W. Erb and G. Santin
-
Semi-Supervised Learning on Graphs with Feature-Augmented Graph
Basis Functions
arXiv preprint 2003.07646 - W. Erb
-
Graph Signal Interpolation with Positive Definite Graph Basis Functions
arXiv preprint 1912.02069 - W. Erb
-
Anisotropic Gaussian approximation in L^2(R^2)
arXiv preprint 1910.10319 - W. Erb, T. Hangelbroek and A. Ron
to appear
-
Mapped polynomials and discontinuous kernels
for Runge and Gibbs phenomena
preprint - S. De Marchi
SEMA SIMAI Springer Series, to appear
published
2022
-
Near-optimal polynomial interpolation
on spherical triangles
preprint - A. Sommariva and M. Vianello
Mediterr. J. Math., published online 20 February 2022
-
RBFCUB: a numerical package for near-optimal meshless cubature
on general polygons
preprint - R. Cavoretto, A. De Rossi, A. Sommariva and M. Vianello
Appl. Math. Lett. 125 (2022)
2021
-
A fast time splitting finite difference approach to
Gross-Pitaevskii equations
M. Caliari and S. Zuccher
Commun. Comput. Phys. 29 (2021)
-
An accurate and time-parallel rational exponential integrator for
hyperbolic and oscillatory PDEs
M. Caliari, L. Einkemmer, A. Moriggl and A. Ostermann
J. Comp. Phys. 437 (2021)
-
Numerical differentiation
on scattered data through multivariate polynomial interpolation
arXiv preprint 2105.09262 - F. Dell'Accio, F. Di Tommaso, N. Siar
and M. Vianello
Bit. Numer. Math., published online 7 October 2021
-
Stable discontinuous mapped bases:
the Gibbs-Runge-Avoiding Stable Polynomial
Approximation (GRASPA) method
preprint - S. De Marchi, G. Elefante
and F. Marchetti
Comput. Appl. Math. (COAM) 40 (2021)
-
Partition of Unity Methods for Signal Processing on Graphs
R. Cavoretto, A. De Rossi and W. Erb
J. Fourier Anal. Appl. 27 (2021)
- On "marcov" inequalities
L. Bos, S. De Marchi and A. Sommariva
Dolomites Res. Notes Approx. DRNA 14 (2021), 92--100
-
On a Bivariate Generalization of Berrut's Barycentric
Rational Interpolation to a Triangle
preprint - L. Bos and S. De Marchi
MDPI - Mathematics 9 (2021), 2481
-
A shape preserving quasi-interpolation operator based
on a new transcendental RBF
preprint -
S. De Marchi, M. Heidari and
M. Mohammadi
Dolomites Res. Notes Approx. DRNA 14 (2021), 56--63
-
Learning via variably scaled kernels
C. Campi, F. Marchetti and E. Perracchione
Adv. Comput. Math. 47(51) (2021)
-
Oversampling errors in multimodal medical imaging
are due to the Gibbs effect
preprint - S. De Marchi, D. Poggiali, C. Campi and D.
Cecchin
MDPI-Mathematics 9(12) (2021)
-
On (beta,gamma)-Chebyshev functions and points of the interval
preprint - S. De Marchi, G. Elefante and F. Marchetti
J. Approx. Theory, published online 4 August 2021
-
RBF moment computation and meshless cubature on general polygonal
regions
preprint - A. Sommariva and M. Vianello
Appl. Math. Comput. 409 (2021)
-
Numerical hyperinterpolation over spherical triangles
preprint - A. Sommariva and M. Vianello
Math. Comput. Simul. 190 (2021), 15--22
-
Quadrature at fake nodes
S. De Marchi, G. Elefante, E. Perracchione and D. Poggiali
Dolomites Res. Notes Approx. DRNA 14 (2021), 39--45
(Special Issue "Multivariate Approximation: Theory and Applications 2020")
-
Near-algebraic Tchakaloff-like quadrature on spherical triangles
preprint - A. Sommariva and M. Vianello
Appl. Math. Lett. 120 (2021)
-
The extension of Rippa's algorithm beyond LOOCV
preprint - F. Marchetti
Appl. Math. Lett. 120 (2021)
-
Optimal Polynomial Prediction Measures and Extremal
Polynomial Growth
arXiv preprint 1912.12462 - L. Bos, N. Levenberg and
J. Ortega-Cerdà
Constr. Approx., published online 2 November 2020
- Rhodonea curves as sampling
trajectories for spectral
interpolation on the unit disk
arXiv preprint 1812.00437 - W. Erb
Constr. Approx. 53 (2021), 281--318
-
Numerical implementation of the mathematical model describing the
prostate tumor growth:
Radial basis function-generated finite
difference
(RBF-FD) scheme combined with a semi-implicit time discretization
preprint - V. Mohammadi, M. Dehghan and S. De Marchi
J. Comput. Appl. Math. 388 (2021)
-
Convergence rate in terms of the continuous ssim (Cssim)
index in RBF interpolation
F. Marchetti
Dolomites Res. Notes Approx. DRNA 14 (2021), 27--32
- Shapes of Uncertainty
in Spectral Graph Theory
arXiv preprint 1909.10865 - W. Erb
IEEE Trans. Inform. Theory 67 (2021), 1291--1307
-
Computing Tchakaloff-like cubature rules on spline curvilinear polygons
preprint - A. Sommariva and M. Vianello
Dolomites Res. Notes Approx. DRNA 14 (2021), 1--11
-
Multivariate approximation at fake nodes
preprint - S. De Marchi, F. Marchetti, E. Perracchione and D. Poggiali
Appl. Math.
Comput. 391 (2021)
2020
-
Accurate numerical determination of a self-preserving quantum
vortex ring
M. Caliari and S. Zuccher
J. Phys. A: Math. Theor. 54 (2020)
-
Correction/Addendum to: "The Extremal Function for the Complex Ball
for Generalized
Notions of
Degree and Multivariate Polynomial Approximation"
arXiv preprint 2005.02518 - T. Bloom, L. Bos, N. Levenberg, S. Ma'u
and F. Piazzon
Ann. Polon. Math. 125 (2020), 193--202
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On the Probability that the Maximum of a Polynomial
is at an Endpoint of an Interval
L. Bos and T. Ware
Analysis Mathematica 46 (2020), 195--224
-
Approximation of the matrix exponential for matrices
with skinny fields of values
preprint - M. Caliari, F. Cassini and F. Zivcovich
BIT Numer. Math. 60 (2020), 1113--1131
-
A new 3D model for
magnetic particle imaging using realistic magnetic field topologies
for algebraic
reconstruction
arXiv preprint 2004.13357 - G. Bringout, W. Erb and J. Frikel
Inverse Problems 36 (2020)
- An RBF
approach for oil futures pricing under
the jump-diffusion model
preprint - S. De Marchi, M.K. Esfahani and A. Neisy
J. Math. Modelling 9 (2020), 81--92
-
Extremal growth of polynomials
preprint - L. Bos, S. Ma'u and S. Waldron
Analysis Mathematica 46 (2020), 195--224
-
Fake Nodes approximation for Magnetic
Particle
Imaging
preprint - S. De Marchi, W. Erb, E. Francomano, F. Marchetti, E.
Perracchione and D. Poggiali
2020 IEEE 20th Mediterranean Electrotechnical Conference (MELECON),
Palermo, 434-438, doi: 10.1109/MELECON48756.2020.9140583
-
Variably Scaled Kernels Improve Classification of
Hormonally-Treated Patient-Derived Xenografts
preprint - F. Marchetti, F. De Martino, M. Shamseddin, S. De Marchi
and C. Brisken
2020 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS),
Bari, 1-6, doi: 10.1109/EAIS48028.2020.9122767
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Analysis of a new class of rational RBF expansions
preprint - M. Buhmann, S. De Marchi and E. Perracchione
IMA J. Numer. Anal. 40 (2020), 1972--1993
-
dCATCH: a numerical package for d-variate near G-optimal Tchakaloff regression
via fast NNLS
M. Dessole, F. Marcuzzi and M. Vianello
MDPI-Mathematics 8(7) (2020) - Special Issue "Numerical Methods"
-
Quadrature-based polynomial optimization
preprint - A. Martinez, F. Piazzon, A. Sommariva and M. Vianello
Optim. Lett. 14 (2020), 1027--1036
-
Jumping
with Variably Scaled Discontinuos Kernels (VSDK)
preprint - S. De Marchi, F. Marchetti and E. Perracchione
BIT Numer. Math. 60 (2020), 441--463
- Treating the Gibbs phenomenon
in barycentric rational interpolation and approximation via the S-Gibbs
algorithm
preprint - J.-P. Berrut, S. De Marchi, G. Elefante and F. Marchetti
Appl. Math. Lett. 103 (2020)
-
Near G-optimal Tchakaloff designs
preprint - L. Bos, F. Piazzon and M. Vianello
Comput. Statistics 35 (2020), 803--819
-
Shape-Driven Interpolation with Discontinuous Kernels: Error Analysis,
Edge
Extraction and Applications in MPI
arXiv preprint 1903.03095 - S. De Marchi, W. Erb, F. Marchetti, E.
Perracchione and M.
Rossini
SIAM J. Sci. Comput. 42(2) (2020), B472--B491
-
Accelerating the Lawson-Hanson NNLS solver for large-scale
Tchakaloff regression designs
preprint - F. Marcuzzi, M. Dessole and M. Vianello
Dolomites Res. Notes Approx. DRNA 13 (2020), 20--29
-
Compressed cubature over polygons with applications to optical design
preprint - B. Bauman, A. Sommariva and M. Vianello
J. Comput. Appl. Math. 370 (2020)
- On
the Convergence of the Rescaled Localized Radial Basis
Function Method
preprint - S. De Marchi and H. Wendland
Appl. Math. Lett. 99 (2020)
-
Polynomial
interpolation via mapped bases without resampling
preprint - S. De Marchi, F. Marchetti, E. Perracchione and D. Poggiali
J. Comput. Appl. Math. 364 (2020)
-
Algebraic cubature on polygonal elements with a circular edge
preprint - E. Artioli, A. Sommariva and M. Vianello
Comput. Math. Appl. 79 (2020), 2057--2066
-
A stable meshfree PDE solver for source-type flows in porous media
preprint - R. Campagna, S. Cuomo, S. De Marchi, E. Perracchione and G.
Severino
Appl. Numer. Math. 149 (2020), 30--42
2019
-
A Kinetic Neural Network Approach for Absolute Quantification
and Change Detection in Positron Emission Tomography
preprint - D. Poggiali, D. Cecchin and S. De Marchi
Proceedings of MASCOT2018-IMACS Workshop,
IMACS Series in Computational and Applied Mathematics, ISSN: 1098-870X,
vol. 22, 2019, 91--100
-
Anisotropic osmosis filtering for shadow removal in images
preprint - S. Parisotto, L. Calatroni, M. Caliari, C.-B. Schoenlieb
and J. Weickert
Inverse Probl. 35 (2019)
-
Laplace-Beltrami
operator in the Baran metric and pluripotential
equilibrium measure: the ball, the simplex and the sphere
preprint -
F. Piazzon
Comput. Methods Funct. Theory 19 (2019), 547--582
-
The Extremal Function for the Complex Ball for Generalized Notions of
Degree and Multivariate Polynomial Approximation
arXiv preprint 1801.02401 - T. Bloom, L. Bos, N. Levenberg, S. Ma'u
and F. Piazzon
Ann. Polon. Math. 123 (2019), 171--195
-
CaTchDes: Matlab codes for Caratheodory-Tchakaloff Near-Optimal
Regression Designs
preprint - L. Bos and M. Vianello
SoftwareX 10 (2019)
-
Learning
with subsampled kernel-based methods: Environmental and financial
applications
M. Aminian Shahrokhabadi, A. Neisy, E. Perracchione and M. Polato
Dolomites Res. Notes Approx. DRNA 12 (2019), 17--27
-
Near optimal polynomial regression on norming meshes
preprint - L. Bos, F. Piazzon and M. Vianello
Sampling Theory and Applications 2019, IEEE Xplore Digital Library,
DOI: 10.1109/SampTA45681.2019.9030910
-
Chebyshev-Dubiner norming webs
on starlike polygons
preprint - M. Vianello
J. Inequal. Spec. Funct. 10-3 (2019), 26--32
-
Tchakaloff polynomial meshes
preprint - L. Bos and M. Vianello
Ann. Polon. Math. 122 (2019), 221--231
-
Dubiner
distance and stability of Lebesgue constants
preprint - M. Vianello
J. Inequal. Spec. Funct. 10-2 (2019), 49--60
-
On the Lebesgue constant of the trigonometric Floater-Hormann
rational
interpolant at equally spaced nodes
C. Bandiziol and S. De Marchi
Dolomites Res. Notes Approx. DRNA 12 (2019), 51--67
-
Markov
inequalities, Dubiner
distance, norming meshes and polynomial optimization
on convex bodies
preprint - F. Piazzon and M. Vianello
Optim. Lett. 13 (2019), 1325--1343
-
Markov factors on average: An L^infty case
L. Bos
J. Approx. Theory 247 (2019), 20--31
-
Fast and accurate computation of divided differences for analytic
functions, with an application to the exponential function
F. Zivcovich
Dolomites Res. Notes Approx. DRNA 12 (2019), 28--42
-
RBF-based partition of unity method for elliptic PDEs: Adaptivity and
stability issues via VSKs
preprint - S. De Marchi, A. Martinez Calomardo, E. Perracchione
and M. Rossini
J. Sci. Comput. 79(1) (2019), 321--344
-
Pluripotential Numerics
preprint - F. Piazzon
Constr. Approx. 49 (2019), 227--263
-
Fast and stable rational RBF-based Partition of Unity interpolation
preprint - S. De Marchi, A. Martinez Calomardo and E. Perracchione
J. Comput. Appl. Math. 349 (2019), 331--343
-
Markov factors on average: An L^2 case
L. Bos
J. Approx. Theory 241 (2019), 1--10
-
On-the-fly backward error estimate for matrix
exponential approximation by Taylor algorithm
preprint - M. Caliari and F. Zivcovich
J. Comput. Appl. Math. 346 (2019), 532--548
-
On the computation of sets of points with low Lebesgue constant on the
unit disk
preprint - G. Meurant and A. Sommariva
J. Comput. Appl. Math. 345 (2019), 388--404
2018
-
The extremal plurisubharmonic function of the torus
F. Piazzon
Dolomites Res. Notes Approx. DRNA 11 (2018), 75--85
(Special Issue on Norm Levenberg's 60th birthday)
-
Fekete Points as Norming Sets
L. Bos
Dolomites Res. Notes Approx. DRNA 11 (2018), 20--25
(Special Issue on Norm Levenberg's 60th birthday)
-
Near optimal Tchakaloff meshes for compact sets
with Markov exponent 2
M. Vianello
Dolomites Res. Notes Approx. DRNA 11 (2018), 92--96
(Special Issue on Norm Levenberg's 60th birthday)
-
Statistical and Numerical Considerations of Backus-Average Product Approximation
L. Bos, T. Danek, M. Slawinski and T. Stanoev
J. Elasticity 132 (2018), 141--159
-
Backward error analysis of
polynomial
approximations for computing the action of the matrix exponential
preprint - M. Caliari, P. Kandolf and F. Zivcovich
BIT Numerical Math. 58 (2018), 907--935
-
Rational RBF-based
partition of unity method for efficiently
and accurately approximating 3D objects
preprint - E. Perracchione
Comput. Appl. Math. 37 (2018), 4633--4648
-
Subperiodic Dubiner distance, norming meshes and trigonometric
polynomial optimization
preprint - M. Vianello
Optim. Lett. 12 (2018), 1659--1667
-
Discrete norming inequalities on sections of sphere, ball and
torus
preprint - A. Sommariva and M. Vianello
J. Inequal. Spec. Funct. 9-4 (2018), 113--121
-
Nearly optimal nested sensors location for polynomial
regression on
complex geometries
preprint - A. Sommariva and M. Vianello
Sampl. Theory Signal Image Process. 17 (2018), 95--101
-
On the Uniqueness of an Orthogonality Property of the Legendre
Polynomials
L. Bos and A.F. Ware
Dolomites Res. Notes Approx. DRNA 11 (2018), 37--42
-
Global polynomial optimization by norming sets on sphere and torus
preprint - M. Vianello
Dolomites Res. Notes Approx. DRNA 11 (2018), 10--14
-
Stability inequalities for Lebesgue constants via Markov-like
inequalities
preprint - F. Piazzon and M. Vianello
Dolomites Res. Notes Approx. DRNA 11 (2018), 1--9
-
Image
Reconstruction from Scattered Radon Data by
Weighted Positive Definite Kernel Functions
preprint - S. De Marchi, A. Iske and G. Santin
Calcolo 55 (2), 2018
-
Subperiodic
Trigonometric Hyperinterpolation
preprint - G. Da Fies, A. Sommariva and M. Vianello
in: "Contemporary Computational Mathematics - a celebration of
the 80th birthday
of Ian Sloan" (invited paper)
J. Dick, F.Y.
Kuo, H. Wozniakowski Eds., Springer, 2018, 283--304
-
Bernstein-Walsh Theory Associated to Convex Bodies and Applications to
Multivariate Approximation Theory
preprint - L. Bos and N. Levenberg
Comput. Methods Funct. Theory 18 (2018), 361--388
-
On multivariate Marcinkiewicz-Zygmund type inequalities
preprint - S. De Marchi and A. Kroó
Acta Math. Hungarica 154 (2018), 69--89
-
Optimal selection of local
approximants in RBF-PU interpolation using bivariate LOOCV
preprint - R. Cavoretto, A. De Rossi and
E. Perracchione
J. Sci. Comput. 74 (2018), 1--22
-
An
elementary approach to polynomial optimization on polynomial
meshes
preprint - M. Vianello
J. Math. Fund. Sci. 50 (2018), 84--91
-
Meshless partition of unity method for attraction basins of periodic
orbits: Fast detection of separatrix points
Alessandra De Rossi, Emma Perracchione, Ezio Venturino
Dolomites Res. Notes Approx. DRNA 11 (2018)
Special Issue on Multivariate Approximation: Theory, Algorithms &
Applications (MATAA17), 15--22
-
Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy
points and greedy minimal Riesz s-energy points
preprint - S. De Marchi and G. Elefante
Appl. Numer. Math. 127 (2018), 110--124
-
How often is the max of a quadratic at an endpoint?
L. Bos
MatematicaMente 232 (2018)
-
A note on total degree polynomial optimization by Chebyshev grids
preprint - F. Piazzon and M. Vianello
Optim. Lett. 12 (2018), 63--71
2017
-
An Explicit Example of
Leave-One-Out Cross-Validation Parameter Estimation
for a Univariate Radial Basis Function
L. Bos and F. Polato
Dolomites Res. Notes Approx. DRNA 10 (2017), 43--50
- A weighted extremal
function and equilibrium measure
preprint - L. Bos, N. Levenberg, S. Ma`u and F. Piazzon
Math. Scand. 121 (2017), 243--262
- Numerical
quadrature on the intersection of planar disks
preprint - A. Sommariva and M. Vianello
FILOMAT 31:13 (2017), 4105--4115
-
Subperiodic
trigonometric
subsampling: a numerical approach
preprint - A. Sommariva and M. Vianello
Appl. Anal. Discrete Math. 11 (2017), 470--483
-
A rescaled method for RBF approximation
preprint - S. De Marchi, A. Idda and G. Santin
Springer Proceedings on Mathematics and Statistics, Vol. 201 (2017),
39--59
-
Lissajous sampling and spectral filtering in
MPI applications: the reconstruction
algorithm for reducing the Gibbs phenomenon
preprint - S. De Marchi, W. Erb and F. Marchetti
Sampling Theory and Applications 2017, IEEE Xplore Digital Library, DOI:
10.1109/SAMPTA.2017.8024375
-
Caratheodory-Tchakaloff
Least Squares
preprint - F. Piazzon, A. Sommariva and
M. Vianello
Sampling Theory and Applications 2017, IEEE Xplore Digital Library, DOI:
10.1109/SAMPTA.2017.8024337
- Some
results on the rational Bernstein-Markov property in the complex
plane
preprint - F. Piazzon
Comput. Methods Funct. Theory 17 (2017), 405--443
- Numerical
hyperinterpolation over nonstandard planar regions
preprint - A. Sommariva and M. Vianello
Math. Comput. Simulation 141 (2017), 110--120
-
Spectral filtering for the reduction of the Gibbs phenomenon for
polynomial approximation methods on Lissajous curves with applications in
MPI
S. De Marchi, W. Erb and F. Marchetti
Dolomites Res. Notes Approx. DRNA 10(2017), 128--137
-
On the use of compressed polyhedral quadrature formulas in embedded
interface
methods
preprint - Y. Sudhakar, A. Sommariva, M. Vianello and W.A. Wall
SIAM J. Sci. Comput. 39 (2017), B571-B587
-
Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on
the sphere
preprint - P. Leopardi, A. Sommariva and M. Vianello
Dolomites Res. Notes Approx. DRNA 10 (2017), 18--24
-
Caratheodory-Tchakaloff
Subsampling
F. Piazzon, A. Sommariva and M. Vianello
Dolomites Res. Notes Approx. DRNA 10 (2017), 5--14
-
Polynomial approximation on Lissajous curves in the d-cube
preprint - L. Bos, S. De Marchi and M. Vianello
Appl. Numer. Math. 116 (2017), 47--56
- Partition
of unity interpolation using stable kernel-based techniques
preprint - R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione and G.
Santin
Appl. Numer. Math. 116 (2017), 95--107
-
A Simple Recipe for Modelling a d-cube by Lissajous
curves
L. Bos
Dolomites Res. Notes Approx. DRNA 10 (2017), 1--4
- Trivariate
polynomial approximation on Lissajous curves
preprint - L. Bos, S. De Marchi and M. Vianello
IMA J. Numer. Anal. 37 (2017), 519--541
- INFFTM:
Fast evaluation of 3d Fourier series in
MATLAB with an application to quantum vortex reconnections
preprint - M. Caliari and S. Zuccher
Comput. Phys. Commun. 213 (2017), 197--207
-
An Orthogonality Property of Legendre
Polynomials
preprint - L. Bos, A. Narayan, N. Levenberg and F.
Piazzon
Constr. Approx. 45 (2017), 65--81
- Polynomial approximation and quadrature on
geographic rectangles
preprint - M. Gentile, A. Sommariva and M. Vianello
Appl. Math. Comput. 297 (2017), 159--179
2016
-
A new quasi-Monte Carlo technique based on nonnegative least-squares and
approximate Fekete points
preprint - L. Bittante, S. De Marchi and G. Elefante
Numer. Math. TMA. 9 (2016), 609--632
- Kernel-based
Image Reconstruction from Scattered Radon Data
S. De Marchi, A. Iske and A. Sironi
Dolomites Res. Notes Approx. DRNA 9 (2016), 19--31
- Approximation
of eigenfunctions in kernel-based spaces
preprint - G. Santin and R. Schaback
Adv. Comput. Math. 42 (2016), 973--993
-
Jacobi norming meshes
preprint - F. Piazzon and M. Vianello
Math. Inequal. Appl. 19 (2016), 1089--1095
- Approximating
basins of attraction for dynamical systems
via stable radial bases
preprint - R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione
and G. Santin
AIP Conference Proceedings 1738 (2016),
doi:10.1063/1.4952177
-
The
Leja
method revisited: backward error analysis for the matrix
exponential
preprint - M. Caliari, P. Kandolf, A. Ostermann and S. Rainer
SIAM J. Sci. Comput. 38 (2016), A1639--A1661
- Optimal
Polynomial Admissible Meshes on Some Classes of Compact Subsets of
R^d
preprint - F. Piazzon
J. Approx. Theory 207 (2016), 241--264
- Compressed
sampling
inequalities by Tchakaloff's theorem
preprint - M. Vianello
Math. Inequal. Appl. 19 (2016), 395--400
2015
- Transfinite diameter on curves,
Hankel determinants and the moment problem
preprint - L. Bos and S. Ma`u
Banach Center Publications 107 (2015), 79--100
- Fast
computation of orthonormal bases for RBF spaces through Krylov spaces
methods
preprint - S. De Marchi and G. Santin
BIT Numerical Math. 55 (2015), 949--966
-
Bernstein-Markov: a survey
T. Bloom, N. Levenberg, F. Piazzon and F. Wielonsky
Dolomites Res. Notes Approx. DRNA 8 (2015), 75--91
-
Application of modified Leja sequences to polynomial interpolation
L. Bos and M. Caliari
Dolomites Res. Notes Approx. DRNA 8 (2015), 66--74
-
A few remarks on "On certain Vandermonde determinants
whose variables separate"
A. Perro de Camargo and S. De Marchi
Dolomites Res. Notes Approx. DRNA 8
(2015), 1--11
- RBF
approximation of large datasets by partition of unity and local
stabilization
preprint - R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione and
G. Santin
Proceedings of CMMSE 2015, 317--326, ISBN 978-84-617-2230-3, ISSN
2312-0177
- Polynomial
Meshes: Computation and Approximation
preprint - S. De Marchi, F. Piazzon, A. Sommariva and M. Vianello
Proceedings of CMMSE 2015, 414--425, ISBN 978-84-617-2230-3, ISSN
2312-0177
-
Analytical and experimental FWHM of a gamma camera: theoretical and
practical issues
preprint - D. Cecchin, D, Poggiali, L. Riccardi, P. Turco, F. Bui and S.
De
Marchi
PeerJ 3e:722, https://dx.doi.org/10.7717/peerj.722
-
Compression of multivariate discrete measures and applications
preprint - A. Sommariva and M. Vianello
Numer. Funct. Anal. Optim. 36 (2015), 1198--1223
- Polynomial fitting and interpolation on
circular sections
preprint - A. Sommariva and M. Vianello
Appl. Math. Comput. 258 (2015), 410--424
- On
the constrained Mock-Chebyshev least squares
preprint - S. De Marchi, F. Dell'Accio and M. Mazza
J. Comput. Appl. Math. 280 (2015), 94--109
2014
-
Fast variants of the Golub and Welsch algorithm for symmetric weight
functions in Matlab
preprint - G. Meurant and A. Sommariva
Numer. Algorithms 67 (2014), 491--506
- Fekete
Type Points for Ridge Function Interpolation and Hyperbolic Potential
Theory
preprint - L. Bos S. De Marchi and N. Levenberg
Publ. Math. Inst. (Beograd)
110 (2014), 41--48
- Multivariate
Christoffel functions and
hyperinterpolation
S. De Marchi, A. Sommariva and M. Vianello
Dolomites Res. Notes Approx. DRNA 7
(2014), 26--33
-
Blossoms - a Flowery
Approach to Polynomials
L. Bos
MatematicaMente 195 (2014)
- Product Gaussian quadrature
on circular
lunes
preprint - G. Da Fies and M. Vianello
Numer. Math. Theory Methods Appl. 7 (2014), 251--264
- On certain
multivariate Vandermonde determinants whose variables separate
preprint - S. De Marchi and K. Usevich
Linear Algebra Appl. 449 (2014), 17--27
- Constructing
optimal polynomial meshes
on planar starlike domains
F. Piazzon and M. Vianello
Dolomites Res. Notes Approx. DRNA 7 (2014), 22--25
-
Comparison of software for computing the action
of the matrix exponential
preprint - M. Caliari, P. Kandolf, A. Ostermann and S. Rainer
BIT Numerical Math. 54 (2014), 113--128
-
Norming meshes by Bernstein-like inequalities
preprint - M. Vianello
Math. Inequal. Appl. 17 (2014), 929--936
- Sub-optimal polynomial meshes
on planar Lipschitz domains
preprint - F. Piazzon and M. Vianello
Numer. Funct. Anal. Optim. 35 (2014), 1467--1475
2013
-
Interpolation
on real algebraic curves to polynomial data
L. Bos and I. Lagu
Dolomites Res. Notes Approx. DRNA 6 (2013), 1--25
-
Algebraic cubature by linear blending of
elliptical arcs
preprint - G. Da Fies, A. Sommariva and M. Vianello
Appl. Numer. Math. 74 (2013), 49--61
- Polynomial
approximation on pyramids, cones and solids of rotation
S. De Marchi and M. Vianello
Dolomites Res. Notes Approx. DRNA 6 (2013), 20--26
-
A new stable basis for radial basis function interpolation
preprint - S. De Marchi and G. Santin
J. Comp. Appl. Math. 253 (2013), 1--13
-
Small perturbations of polynomial meshes
preprint - F. Piazzon and M. Vianello
Appl. Anal. 92 (2013), 1063--1073
-
Meshfree Exponential Integrators
preprint - M. Caliari, A. Ostermann and S. Rainer
SIAM J. Sci. Comput. 35 (2013), A431--A452
- A Meshfree
splitting method for soliton dynamics in
nonlinear
Schroedinger equations
preprint- M. Caliari, A. Ostermann and S. Rainer
Lect. Notes Comput. Sci. Eng. 89 (2013)
-
Bounding the Lebesgue constant of Berrut's rational interpolant
at general nodes
preprint - L. Bos, S. De Marchi, K. Hormann and J. Sidon
J. Approx. Theory 169 (2013), 7--22
among the most cited articles of JAT 2013-2017
-
Fast construction of Fejer and
Clenshaw-Curtis rules for general weight
functions
preprint - A. Sommariva
Comput. Math. Appl. 65 (2013), 682--693
cited in S. Olver, M. Slevinsky, A. Townsend,
Fast algorithms using orthogonal polynomials,
Acta Numerica 2020
-
On the Lebesgue
constant of subperiodic
trigonometric
interpolation
preprint - G. Da Fies and M. Vianello
J. Approx. Theory 167 (2013), 59--64
2012
-
The transfinite diameter of a
real ball and simplex
preprint - T. Bloom, L. Bos and N. Levenberg
Ann. Polon. Math. 106 (2012), 83--96
-
Polynomial Interpolation and Approximation in C^d
preprint - T. Bloom, L. Bos, J.-P. Calvi and N. Levenberg
Ann. Polon. Math. 106 (2012), 53--81
-
Computing almost minimal formulas on the square
preprint - M. Festa and A. Sommariva
J. Comput. Appl. Math. 236 (2012), 4296--4302
-
On the Lebesgue constant of barycentric rational interpolation at
equidistant nodes
preprint - L. Bos, S. De Marchi, K. Hormann and G. Klein
Numer. Math. 121 (2012), 461--471
-
On Bezier and Subdivision Curves
L. Bos
MatematicaMente 172 (2012)
-
Algebraic cubature on planar lenses and bubbles
G. Da Fies and M. Vianello
Dolomites Res. Notes Approx. DRNA 5 (2012), 7--12
-
On the
generation of symmetric
Lebesgue-like points in the triangle
preprint - F. Rapetti, A. Sommariva and M. Vianello
J. Comput. Appl. Math. 236 (2012), 4925--4932
-
Subperiodic trigonometric interpolation and quadrature
preprint - L. Bos and M. Vianello
Appl. Math. Comput. 218 (2012), 10630--10638
-
Polynomial approximation and cubature
at approximate Fekete and Leja points of the cylinder
preprint - S. De Marchi, M. Marchioro and A. Sommariva
Appl. Math. Comput. 218 (2012), 10617--10629
-
Trigonometric Gaussian quadrature on subintervals of the
period
preprint - G. Da Fies and M. Vianello
Electron. Trans. Numer. Anal. 39 (2012), 102--112
-
Computing Fekete and Lebesgue points: simplex, square, disk
preprint - M. Briani, A. Sommariva and M. Vianello
J. Comput. Appl. Math. 236 (2012), 2477--2486
-
Barycentric rational interpolation at
quasi-equidistant nodes
S. De Marchi, K. Hormann and G. Klein
Dolomites Res. Notes Approx. DRNA 5 (2012), 1--6
-
Low cardinality admissible meshes on quadrangles, triangles and
disks
preprint - L. Bos and M.
Vianello
Math. Inequal. Appl. 15 (2012), 229--235
2011
-
On the Whittaker--Shannon sampling
by means of Berrut's rational interpolant and its extension by Floater and
Hormann
preprint - L. Bos and S. De Marchi
East J. Approx. 17 (2011), 267--284
-
On optimal points for interpolation by
univariate exponential functions
L. Bos and S. De Marchi
Dolomites Res. Notes Approx. DRNA 4 (2011), 8--12
-
On the Lebesgue constant of Berrut's rational interpolant at
equidistant
nodes
preprint - L. Bos, S. De Marchi and K. Hormann
J. Comput. Appl. Math. 236 (2011), 504--510
-
Meshfree integrators
preprint - M. Caliari, A. Ostermann, and S. Rainer
Oberwolfach Reports (2011)
-
On Multivariate Newton Interpolation at Discrete Leja Points
L. Bos, S. De Marchi, A. Sommariva and M.
Vianello
Dolomites Res. Notes Approx. DRNA 4 (2011), 15--20
-
Polynomial interpolation and cubature over polygons
preprint - M. Gentile, A. Sommariva and M.
Vianello
J. Comput. Appl. Math. 235 (2011), 5232--5239
-
An algebraic cubature formula on curvilinear polygons
preprint - G. Santin, A. Sommariva and M.
Vianello
Appl. Math. Comput. 217 (2011), 10003--10015
-
Geometric Weakly Admissible Meshes, Discrete Least Squares
Approximations and Approximate Fekete Points
preprint - L. Bos, J.P. Calvi, N. Levenberg, A.
Sommariva and M. Vianello
Math. Comp. 80 (2011), 1601--1621
-
Padua2DM: fast interpolation and cubature at the Padua points in
Matlab/Octave
preprint - M. Caliari, S. De Marchi, A.
Sommariva and M. Vianello
Numer. Algorithms 56 (2011), 45--60
-
Weakly Admissible Meshes and Discrete Extremal Sets
preprint - L. Bos, S. De Marchi, A. Sommariva and M.
Vianello
Numer. Math. Theory Methods Appl. 4 (2011), 1--12
2010
-
Analytic transformations of admissible meshes
preprint - F. Piazzon and M.
Vianello
East J. Approx. 16 (2010), 313--322
-
Computing multivariate Fekete and Leja points by numerical linear
algebra
preprint - L. Bos, S. De Marchi, A. Sommariva and M. Vianello
SIAM J. Numer. Anal. 48 (2010), 1984--1999
-
On the convergence of optimal measures
preprint - T. Bloom, L. Bos, N. Levenberg and S. Waldron
Constr. Approx. 32 (2010), 159--179
-
On polynomial inequalities on
exponential curves in C^n
preprint - L. Bos, A. Brudnyi and N. Levenberg
Constr. Approx. 31 (2010), 139--147
-
Least-squares polynomial approximation on weakly admissible
meshes: disk and triangle
preprint - L. Bos, A. Sommariva and M. Vianello
J. Comput. Appl. Math. 235 (2010), 660--668
-
Approximate Fekete points for weighted polynomial interpolation
preprint - A. Sommariva and M. Vianello
Electron. Trans. Numer. Anal. 37 (2010), 1--22
-
On simple approximations to simple curves
L. Bos and M.
Vianello
Dolomites Res. Notes Approx. DRNA 3 (2010), 1--6
-
Stability of Kernel-Based Interpolation
preprint - S. De Marchi and R. Schaback
Adv. Comput. Math. 32 (2010), 155--161
2009
-
On the Vandermonde Determinant of Padua-like Points
L. Bos, S. De Marchi and S. Waldron
Dolomites Res. Notes Approx. DRNA 2
(2009), 1--15
-
Nonstandard Kernels and their Applications
R. Schaback and S. De Marchi
Dolomites Res. Notes Approx. DRNA 2 (2009), 16--43
-
Efficient massively parallel implementation of the ReLPM
exponential integrator for advection-diffusion models
preprint - L. Bergamaschi, M. Caliari, A. Martinez and M. Vianello
J. Comput. Appl. Math. 231 (2009), 82--91
cited in M. Hochbruck, A. Ostermann,
Exponential Integrators,
Acta Numerica 2010
-
Implementation of exponential Rosenbrock-type integrators
preprint - M. Caliari and A. Ostermann
Appl. Numer. Math. 59 (2009), 568--581
cited in M. Hochbruck, A. Ostermann,
Exponential Integrators,
Acta Numerica 2010
-
Gauss-Green cubature and moment computation over arbitrary
geometries
preprint - A. Sommariva and M. Vianello
J. Comput. Appl. Math. 231 (2009), 886--896
-
Geometric greedy and greedy points for RBF interpolation
preprint - S. De Marchi
Proceedings of the 9th CMMSE (2009), Vol. II,
381--392
-
A numerical code for fast interpolation and cubature at
the Padua points
preprint - M. Caliari, S. De Marchi, A. Sommariva and M. Vianello
Proceedings of the 9th CMMSE (2009), Vol. I,
218--228
-
Computing approximate Fekete points by QR factorizations of
Vandermonde matrices
preprint - A. Sommariva and M. Vianello
Comput. Math. Appl. 57 (2009), 1324--1336
-
New cubature formulae and hyperinterpolation in three variables
preprint - S. De Marchi, M. Vianello and Y. Xu
BIT Numerical Math. 49 (2009), 55--73
2008
-
Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on
Bivariate
Domains
preprint - M. Caliari, S. De Marchi and M. Vianello
ACM Trans. Math. Software 35-3 (2008)
-
Approximation on the sphere using radial basis functions plus
polynomials
preprint - A. Sommariva and I.H. Sloan
Adv. Comput. Math. 29 (2008), 147--177
-
Nontensorial Clenshaw-Curtis cubature
preprint - A. Sommariva, M. Vianello and R. Zanovello
Numer. Algorithms 49 (2008), 409--427
-
Hyperinterpolation in the cube
preprint - M. Caliari, S. De Marchi and M. Vianello
Comput. Math. Appl. 55 (2008), 2490--2497
-
Univariate Radial Basis Functions with Compact Support Cardinal
Functions
preprint - L. Bos and S. De Marchi
East J. Approx. 14 (2008), 69--80
-
Bivariate Lagrange interpolation at the Padua points:
computational aspects
preprint - M. Caliari, S. De Marchi and M. Vianello
J. Comput. Appl. Math. 221 (2008), 284--292
-
Meshless cubature over the disk by Thin-Plate Splines
preprint - A. Punzi, A. Sommariva and M. Vianello
J. Comput. Appl. Math. 221 (2008), 430--436
2007
-
Bivariate Lagrange interpolation at the Padua points: the
ideal theory approach
preprint - L. Bos, S. De Marchi, M. Vianello and Y. Xu
Numer. Math. 108 (2007), 43--57
-
Accurate evaluation of divided differences for polynomial
interpolation of
exponential propagators
preprint - M. Caliari
Computing 80 (2007), 189--201
cited in M. Hochbruck, A. Ostermann,
Exponential Integrators,
Acta Numerica 2010
- The LEM exponential integrator for
advection-diffusion-reaction equations
preprint - L. Bergamaschi, M. Caliari and M. Vianello
J. Comput. Appl. Math. 210 (2007), 56--63
-
Product Gauss cubature over polygons based on Green's integration
formula
preprint - A. Sommariva and M. Vianello
BIT Numerical Math. 47 (2007), 441--453
-
Hyperinterpolation on the square
preprint - M. Caliari, S. De Marchi and M. Vianello
J. Comput. Appl. Math. 210 (2007), 78--83
2006
- Meshless cubature by Green's formula
preprint - A. Sommariva and M. Vianello
Appl. Math. Comput. 183 (2006), 1098--1107
-
Hyper2d: a numerical code for
hyperinterpolation on
rectangles
preprint - M. Caliari, S. De Marchi, R. Montagna and M. Vianello
Appl. Math. Comput. 183 (2006), 1138--1147
-
Comparing Leja and Krylov approximations of large scale
matrix exponentials
preprint - L. Bergamaschi, M. Caliari, A. Martinez and M. Vianello
Springer LNCS vol. 3994, 2006 (Proc. of ICCS 2006, Reading, UK), 685--692
cited in M. Hochbruck, A. Ostermann,
Exponential Integrators,
Acta Numerica 2010
-
Bivariate interpolation at Xu points: results, extensions and
applications
preprint - L. Bos, M. Caliari, S. De Marchi and M. Vianello
Electron. Trans. Numer. Anal. 25 (2006), 1--16
-
On the Lebesgue constant for the Xu interpolation formula
preprint - L. Bos, S. De Marchi and M. Vianello
J. Approx. Theory 141 (2006), 134--141
-
A numerical study of the Xu polynomial interpolation formula
in two variables
preprint - L. Bos, M. Caliari, S. De Marchi and M. Vianello
Computing 76 (2006), 311--324
- Numerical cubature on scattered
data by radial basis
functions
preprint - A. Sommariva and M. Vianello
Computing 76 (2006), 295--310
-
Bivariate Lagrange interpolation at the Padua points: the
generating curve approach
preprint - L. Bos, M. Caliari, S. De Marchi, M. Vianello and Y. Xu
J. Approx. Theory 143 (2006), 15--25
2005
-
Near-Optimal Data-Independent Point Locations for Radial Basis
Functions Interpolation
preprint - S. De Marchi, R. Schaback and H. Wendland
Adv. Comput. Math. 23 (2005), 317--330
cited in R. Schaback, H. Wendland,
Kernel techniques: From machine learning to meshless methods,
Acta Numerica 2006
-
Sets of Near-Optimal Points for Interpolation on the Square
preprint - S. De Marchi
APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY
Proceedings of the 7th Conference, Venice (Italy), 20 - 24 September 2004,
Ed. M. Primicerio et al., 45--55
-
On the Numerical Solution of Some Semilinear Elliptic Problems -
II
preprint - K. Atkinson and A. Sommariva
Computing 74 (2005), 159--175
-
Quadrature over the sphere
preprint - K. Atkinson and A. Sommariva
Electron. Trans. Numer. Anal. 20 (2005), 104--118
-
A parallel exponential integrator for large-scale discretizations
of advection-diffusion models
preprint - L. Bergamaschi, M. Caliari, A. Martinez and M. Vianello
Springer LNCS vol. 3666, 2005 (Proc. of Euro PVM MPI 2005,
Sorrento,
Italy), 483--492
cited in M. Hochbruck, A. Ostermann,
Exponential Integrators,
Acta Numerica 2010
-
Adaptive bivariate Chebyshev approximation
preprint - A. Sommariva, M. Vianello and R. Zanovello
Numer. Algorithms 38 (2005), no. 1-3, 79--94
-
Bivariate polynomial interpolation on the square at new nodal sets
preprint - M. Caliari, S. De Marchi and M. Vianello
Appl. Math. Comput. 165/2 (2005), 261--274