Multivariate Approximation and Interpolation with Applications – MAIA
September 19 – 23, 2016
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)


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

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

Some Bivariate Generalizations of Berrut’s Rational Interpolants

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

Multigrid and subdivision

The unitary extension principle and its generalizations

Error bounds for conditionally positive definite kernels without polynomial terms

On the rescaled method for RBF approximation

Deep learning on Manifolds

A unified interpolatory subdivision scheme for quadrilateral meshes

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

Partially Nested Hierarchical B-Splines

Estimation of linear integral operator from scattered impulse reponses

Some Recent Insights into Computing with Positive Definite Kernels

Directional time-frequency analysis via continuous frames

Sampling for solutions of the heat equation

Stable Phase Retrieval in Infinite Dimensions

A moment matrix approach to computing symmetric cubatures

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

Interpolatory and noninterpolatory Hermite subdivision schemes reproducing polynomials

Low Rank Spline Surfaces

25+ Years of Wavelets for PDEs

Error estimates for multilevel Gaussian quasi-interpolation on the torus

Simplex spline bases on the  Powell-Sabin 12 split

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

B-Splines and Clifford Algebra

Smoothing of vector and Hermite
subdivision schemes

Sparse multivariate polynomial-exponential representation and interpolation

Dictionary data assimilation for recovery problems

Recent Progress on RAGS

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

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

Helmholtz-Hodge decomposition, Divergence-free wavelets and applications

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

Sparse approximation by modified Prony method

Spherical Splines

Applications of subdivision schemes to combinatorics and to number theory

Variational Bézier or B-spline curves and surfaces

Approximation and Modeling with Ambient B-Splines

Convergence of corner cutting algorithms refining points and nets of functions

Applications of variably scaled kernels

Non-symmetric kernel-based greedy approximation

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

Adaption of tensor product spline spaces to approximation on domains

Local approximation methods using hierarchical splines

Methods for constructing multivariate tight wavelet frames

Multigrid and Subdivision: grid transfer operators

  • Alberto Viscardi (University of Milano-Bicocca)

Irregular Tight Wavelet Frames: Matrix Approach

Anisotropic Diagonal Scaling Matrices and Subdivision Schemes in Dimension d

Kernel-based Discretisation  for Solving  Matrix-valued PDEs

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

Univariate Non-linear Approximation Scheme for Piecewise Smooth functions