• 1638a - Adaptive Algorithms 

      [OWR-2016-44] (2016) - (18 Sep - 24 Sep 2016)
      Overwhelming empirical evidence in computational science and engineering proved that self-adaptive mesh-generation is a must-do in real-life problem computational partial differential equations. The mathematical understanding ...
    • 0827b - Learning Theory and Approximation 

      [OWR-2008-30] (2008) - (29 Jun - 05 Jul 2008)
    • 1226 - Learning Theory and Approximation 

      [OWR-2012-31] (2012) - (24 Jun - 30 Jun 2012)
      Learning theory studies data structures from samples and aims at understanding unknown function relations behind them. This leads to interesting theoretical problems which can be often attacked with methods from Approximation ...
    • 1627b - Learning Theory and Approximation 

      [OWR-2016-33] (2016) - (03 Jul - 09 Jul 2016)
      The main goal of this workshop – the third one of this type at the MFO – has been to blend mathematical results from statistical learning theory and approximation theory to strengthen both disciplines and use synergistic ...
    • 1606c - Mini-Workshop: Mathematical Foundations of Isogeometric Analysis 

      [OWR-2016-8] (2016) - (07 Feb - 13 Feb 2016)
      Isogeometric Analysis (IgA) is a new paradigm which is designed to merge two so far disjoint disciplines, namely, numerical simulations for partial differential equations (PDEs) and applied geometry. Initiated by the ...
    • 1507a - Mini-Workshop: Modern Applications of s-numbers and Operator Ideals 

      [OWR-2015-6] (2015) - (08 Feb - 14 Feb 2015)
      The main aim of this mini-workshop was to present and discuss some modern applications of the functional-analytic concepts of $s$-numbers and operator ideals in areas like Numerical Analysis, Theory of Function Spaces, ...
    • 1713 - Multiscale and High-Dimensional Problems 

      [OWR-2017-17] (2017) - (26 Mar - 01 Apr 2017)
      High-dimensional problems appear naturally in various scientific areas. Two primary examples are PDEs describing complex processes in computational chemistry and physics, and stochastic/ parameter-dependent PDEs arising ...
    • 1517a - Multivariate Splines and Algebraic Geometry 

      [OWR-2015-21] (2015) - (19 Apr - 25 Apr 2015)
      Multivariate splines are effective tools in numerical analysis and approximation theory. Despite an extensive literature on the subject, there remain open questions in finding their dimension, constructing local bases, and ...
    • 1503 - New Discretization Methods for the Numerical Approximation of PDEs 

      [OWR-2015-2] (2015) - (11 Jan - 17 Jan 2015)
      The construction and mathematical analysis of numerical methods for PDEs is a fundamental area of modern applied mathematics. Among the various techniques that have been proposed in the past, some – in particular, finite ...
    • On Concentrators and Related Approximation Constants 

      [OWP-2013-14] Bondarenko, A. V.; Prymak, A.; Radchenko, D. (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)
      Pippenger ([Pip77]) showed the existence of (6m, 4m, 3m, 6)-concentrator for each positive integer m using a probabilistic method. We generalize his approach and prove existence of (6m, 4m, 3m, 5.05)-concentrator (which ...
    • On the L2 Markov Inequality with Laguerre Weight 

      [OWP-2016-15] Nikolov, Geno P.; Shadrin, Alexei (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
    • 0645 - Qualitative Assumptions and Regularization in High-Dimensional Statistics 

      [OWR-2006-49] (2006) - (05 Nov - 11 Nov 2006)
      Important and exciting developments are currently underway in nonparametric statistics involving inter-play between qualitative constraints, penalization, and regularization methods. Some of these developments are taking ...
    • 1538 - Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws 

      [OWR-2015-41] (2015) - (13 Sep - 19 Sep 2015)
      The development of reliable numerical methods for the simulation of real life problems requires both a fundamental knowledge in the field of numerical analysis and a proper experience in practical applications as well as ...
    • 1203 - Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws and their Use in Science and Engineering 

      [OWR-2012-5] (2012) - (15 Jan - 21 Jan 2012)
      Modern numerical methods for hyperbolic conservation laws rely on polynomials of high degree, mostly orthogonal polynomials, on triangular or quadrilateral meshes. Due to shocks stability is an issue and modern means of ...
    • Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D 

      [OWP-2018-27] Beckus, Siegfried; Bellissard, Jean; De Nittis, Giuseppe (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-17)
      The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schrödinger operators. In a forthcoming work [9] this task was ...
    • 1340 - Uniform Distribution Theory and Applications 

      [OWR-2013-49] (2013) - (29 Sep - 05 Oct 2013)
      The topics of the workshop were recent progress in the theory of uniform distribution theory (also known as discrepancy theory) and new developments in its applications in analysis, approximation theory, computer science, ...