Approximation theory has evolved from classical work by Chebyshev, Weierstrass and Bernstein into an area that  combines a deep theoretical analysis of approximation with insights leading to the invention of new computational techniques.  Such invaluable tools of modern computation as orthogonal polynomials, splines, finite elements, Bézier curves, NURBS, radial basis functions,  wavelets and subdivision surfaces have been developed and analysed with the prominent help of ideas coming from approximation theory.

The workshop is devoted to the approximation of functions of two or more variables. This area has many challenging open questions and its wide  variety of applications includes problems of computer aided design, mathematical modelling, data interpolation and fitting, signal analysis and image processing. The Workshop  will be  the 13th Conference of MAIA series.

This  conference  is intended to be a platform for researchers in approximation theory and its applications with a strong interest in multivariate approximation and interpolation. The aim of this workshop is also to bring together researchers working in these topics. Participants will present and discuss their latest results.  

Relevant  topics of the MAIA conference  include, but are not limited to the following:

• Multivariate approximation and interpolation,
• Spline theory, Radial basis functions, polynomial approximation,
• Subdivision schemes, Shape preservation,
• Meshless approximation, Finite elements method,
• Wavelets theory and applications,
• Problems in high-dimensions,
• Numerical Methods for approximation, etc.

 

Scientific Committee

Carl de Boor (University of Wisconsin)
Jesus Carnicer (University of Zaragoza)
Oleg Davydov (University of Giessen)
Shai Dekel (Tel-Aviv University)
Michael Floater (University of Oslo)
Gitta Kutyniok  (TU Berlin)
Yvon Maday (UPMC)
Carla Manni (University of Rome 2)
Tomas Sauer (University of Giessen)
Holger Wendland (University of Bayreuth)

Organizing Committee

 Abderrahman Bouhamidi (Université Littoral Côte d’Opale Calais)
 Albert Cohen (UPMC)
 Costanza Conti (University of Florence)
 Christophe Rabut (INSA Toulouse)

Speakers

• Mohamed Addam (Université Mohammed Premier, Oujda)

B-spline finite element method for dynamic deflection of beam deformation model

• Carolina Beccari (Università di Bologna)

Rational Geometric Splines: construction and applications in the representation of smooth surfaces

• Len Bos (University of Verona)

Some Bivariate Generalizations of Berrut’s Rational Interpolants

• Vittoria Bruni (University of Roma La Sapienza)

Some applications of the wavelet transform with signal-dependent dilation factor

• Maria Charina (University of Vienna)

Multigrid and subdivision

• Ole Christensen (Technical University of Denmark)

The unitary extension principle and its generalizations

• Oleg Davydov (University of Giessen)

Error bounds for conditionally positive definite kernels without polynomial terms

• Stefano De Marchi (University of Padova)

On the rescaled method for RBF approximation

• Shai Dekel (Tel Aviv University)

Deep learning on Manifolds

• Chongyang Deng (Hangzhou Dianzi University)

A unified interpolatory subdivision scheme for quadrilateral meshes

• Nira Dyn (Tel Aviv University)

Reconstruction of 2D shapes and 3D objects from their 1D parallel  cross-sections by « geometric piecewise linear interpolation

• Nora Engleitner (Johannes Kepler Universität Linz)

Partially Nested Hierarchical B-Splines

• Paul Escande (Université Paul Sabatier)

Estimation of linear integral operator from scattered impulse reponses

• Greg Fasshauer (Illinois Institut of Technolgy)

Some Recent Insights into Computing with Positive Definite Kernels

• Brigitte Forster (Universität Passau)

Directional time-frequency analysis via continuous frames

• Karlheinz Gröchenig (University of Vienna)

Sampling for solutions of the heat equation

• Philipp Grohs (ETH Zurich)

Stable Phase Retrieval in Infinite Dimensions

• Evelyne Hubert (INRIA Sophia Antipolis)

A moment matrix approach to computing symmetric cubatures

• B. Ali Ibrahimoglu (Yıldız Technical University)

On Computing the Derivative of the Lebesgue Function of Barycentric Rational Interpolation

• Byeongseon Jeong (Ewha W. University, Korea)

Interpolatory and noninterpolatory Hermite subdivision schemes reproducing polynomials

• Bert Jüttler (Universität Hohenheim)

Low Rank Spline Surfaces

• Angela Kunoth (University of Cologne)

25+ Years of Wavelets for PDEs

• Jeremy Levesley (University of Leicester)

Error estimates for multilevel Gaussian quasi-interpolation on the torus

• Tom Lyche (University of Oslo)

Simplex spline bases on the  Powell-Sabin 12 split

• Carla Manni (University of Rome Tor Vergata)

Spline spaces over planar T-meshes and Extended  complete Tchebycheff spaces

• Peter Massopust (TUM Munich)

B-Splines and Clifford Algebra

• Caroline Moosmüller (TU Graz)

Smoothing of vector and Hermite
subdivision schemes

• Bernard Mourrain (INRIA – Sophia Antipolis)

Sparse multivariate polynomial-exponential representation and interpolation

• Olga Mula (Université Paris Dauphine)

Dictionary data assimilation for recovery problems

• Mike Neamtu (Vanderbilt University)

Recent Progress on RAGS

• Anthony Nouy (Ecole Centrale de Nantes)

Adaptive hierarchical low-rank approximation of multivariate functions using statistical methods

• Juan M. Peña (Universidad de Zaragoza)

Recent advances on Accuracy and Stability in Approximation and C.A.G.D.

• Valérie Perrier (Université Grenoble Alpes)

Helmholtz-Hodge decomposition, Divergence-free wavelets and applications

• Francesca Pitolli (University of Roma La Sapienza)

Less is enough: localizing neural sources by the random sampling method

• Gerlind Plonka (University of Göttingen)

Sparse approximation by modified Prony method

• Hartmut Prautzsch (KIT)

Spherical Splines

• Vladimir Yu. Protassov (Moscow State University)

Applications of subdivision schemes to combinatorics and to number theory

• Christophe Rabut (INSA, Toulouse)

Variational Bézier or B-spline curves and surfaces

• Ulrich Reif (TU Darmstadt)

Approximation and Modeling with Ambient B-Splines

• Lucia Romani (University of Milano-Bicocca)

Convergence of corner cutting algorithms refining points and nets of functions

• Milvia Rossini (University of Milano Bicocca)

Applications of variably scaled kernels

• Gabriele Santin (University of Stuttgart)

Non-symmetric kernel-based greedy approximation

• Tomas Sauer (University of Passau)

Prony’s problem and superresolution in several variables: structure and algorithms

• Nada Sissouno (University of Passau)

Adaption of tensor product spline spaces to approximation on domains

• Hendrik Speleers (University of Rome Tor Vergata)

Local approximation methods using hierarchical splines

• Joachim Stöckler (TU Dortmund)

Methods for constructing multivariate tight wavelet frames

• Valentina Turati (Università degli Studi dell’Insubria)

Multigrid and Subdivision: grid transfer operators

• Alberto Viscardi (University of Milano-Bicocca)

Irregular Tight Wavelet Frames: Matrix Approach

• Elena Volontè (University of Milano – Bicocca)

Anisotropic Diagonal Scaling Matrices and Subdivision Schemes in Dimension d

• Holger Wendland (Bayreuth University)

Kernel-based Discretisation  for Solving  Matrix-valued PDEs

• Hyoseon Yang (Ewha W. University Korea)

Sixth-order Weighted essentially non-oscillatory schemes based on exponential polynomials

• Jungho Yoon (Ewha W. University Korea)

Univariate Non-linear Approximation Scheme for Piecewise Smooth functions