Browsing by MSC "41"

Anzeige der Dokumente 1-20 von 23

    • 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 ...

    • 2207a - Interpolation, Approximation, and Algebra 

      [OWR-2022-7] (2022) - (13 Feb - 19 Feb 2022)
      This report involves two concepts of geometric modeling: multi-variate data interpolation by polynomials, and the study of generalized bary\-centric coordinates. These topics are connected to a wide range of of applications, ...

    • 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 ...

    • 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 ...

    • 0827b - Learning Theory and Approximation 

      [OWR-2008-30] (2008) - (29 Jun - 05 Jul 2008)
      Mathematical analysis of learning algorithms consists of bias measured by various kinds of approximation errors and variance investigated by probability and statistical analysis. This workshop has dealt with new developments ...

    • 1929b - Mathematical Foundations of Isogeometric Analysis 

      [OWR-2019-33] (2019) - (14 Jul - 20 Jul 2019)
      Isogeometric analysis is a recent technology for numerical simulation, unifying computer aided design and finite element analysis. It offers a true design-through-analysis pipeline by employing the same representation ...

    • 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 ...

    • 2119b - Mini-Workshop: Mathematics of Dissipation – Dynamics, Data and Control (hybrid meeting) 

      [OWR-2021-24] (2021) - (09 May - 15 May 2021)
      Dissipation of energy --- as well as its sibling the increase of entropy --- are fundamental facts inherent to any physical system. The concept of dissipativity has been extended to a more general system theoretic setting ...

    • 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, ...

    • 2339b - Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis 

      [OWR-2023-43] (2023) - (24 Sep - 29 Sep 2023)
      Multivariate polynomials and, in particular, multivariate orthogonal polynomials (MOPs) are research areas within the fields of special functions, Lie groups, quantum groups, computer algebra to name only some of them. ...

    • 2342c - Mini-Workshop: Nonlinear Approximation of High-dimensional Functions in Scientific Computing 

      [OWR-2023-48] (2023) - (15 Oct - 20 Oct 2023)
      Approximation techniques for high dimensional PDEs are crucial for contemporary scientific computing tasks and gained momentum in recent years due to the renewed interest in neural networks. It seems that especially ...

    • 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 Dykstra’s Algorithm with Bregman Projections 

      [OWP-2024-04] Pinto, Pedro; Pischke, Nicholas (Mathematisches Forschungsinstitut Oberwolfach, 2024-04-16)
      We provide quantitative results on the asymptotic behavior of Dykstra’s algorithm with Bregman projections, a combination of the well-known Dykstra’s algorithm and the method of cyclic Bregman projections, designed to find ...

    • On the L2 Markov Inequality with Laguerre Weight 

      [OWP-2016-15] Nikolov, Geno P.; Shadrin, Alexei (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)

    • Proof Mining and the Convex Feasibility Problem : the Curious Case of Dykstra's Algorithm 

      [OWP-2024-06] Pinto, Pedro (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-15)
      In a recent proof mining application, the proof-theoretical analysis of Dykstra's cyclic projections algorithm resulted in quantitative information expressed via primitive recursive functionals in the sense of Gödel. This ...

    • 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 ...