• 1720 - Computational Inverse Problems for Partial Differential Equations 

      [OWR-2017-24] Workshop Report 2017,24 (2017) - (14 May - 20 May 2017)
      The problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may ...
    • 2050 - Computational Inverse Problems for Partial Differential Equations (hybrid meeting) 

      [OWR-2020-39] Workshop Report 2020,39 (2020) - (06 Dec - 12 Dec 2020)
      Inverse problems in partial differential equations (PDEs) consist in reconstructing some part of a PDE such as a coefficient, a boundary condition, an initial condition, the shape of a domain, or a singularity from ...
    • 0925 - Computational Multiscale Methods 

      [OWR-2009-29] Workshop Report 2009,29 (2009) - (14 Jun - 20 Jun 2009)
      Computational Multiscale Methods play an important role in many modern computer simulations in material sciences with different time scales and different scales in space. Besides various computational challenges, the meeting ...
    • 1931 - Computational Multiscale Methods 

      [OWR-2019-35] Workshop Report 2019,35 (2019) - (28 Jul - 03 Aug 2019)
      Many physical processes in material sciences or geophysics are characterized by inherently complex interactions across a large range of non-separable scales in space and time. The resolution of all features on all scales ...
    • 1426 - Computational Multiscale Methods 

      [OWR-2014-30] Workshop Report 2014,30 (2014) - (22 Jun - 28 Jun 2014)
      Almost all processes in engineering and the sciences are characterised by the complicated relation of features on a large range of nonseparable spatial and time scales. The workshop concerned the computer-aided simulation ...
    • 2215b - Conic Linear Optimization for Computer-Assisted Proofs 

      [OWR-2022-20] Workshop Report 2022,20 (2022) - (10 Apr - 16 Apr 2022)
      From a mathematical perspective, optimization is the science of proving inequalities. In this sense, computational optimization is a method for computer-assisted proofs. Conic (linear) optimization is ...
    • 2110b - Deep Learning for Inverse Problems (hybrid meeting) 

      [OWR-2021-13] Workshop Report 2021,13 (2021) - (07 Mar - 13 Mar 2021)
      Machine learning and in particular deep learning offer several data-driven methods to amend the typical shortcomings of purely analytical approaches. The mathematical research on these combined models is presently exploding ...
    • 1839 - Differential Equations arising from Organising Principles in Biology 

      [OWR-2018-43] Workshop Report 2018,43 (2018) - (23 Sep - 29 Sep 2018)
      This workshop brought together experts in modeling and analysis of organising principles of multiscale biological systems such as cell assemblies, tissues and populations. We focused on questions arising in systems biology ...
    • 0616 - Differential-Algebraic Equations 

      [OWR-2006-18] Workshop Report 2006,18 (2006) - (16 Apr - 22 Apr 2006)
      Differential-Algebraic Equations (DAE) are today an independent field of research, which is gaining in importance and becoming of increasing interest for applications and mathematics itself. This workshop has drawn the ...
    • 1251 - Dynamics of Patterns 

      [OWR-2012-60] Workshop Report 2012,60 (2012) - (16 Dec - 22 Dec 2012)
      Patterns and nonlinear waves arise in many applications. Mathematical descriptions and analyses draw from a variety of fields such as partial differential equations of various types, differential and difference equations ...
    • 0851 - Dynamics of Patterns 

      [OWR-2008-57] Workshop Report 2008,57 (2008) - (14 Dec - 20 Dec 2008)
      This workshop focused on the dynamics of nonlinear waves and spatio-temporal patterns, which arise in functional and partial differential equations. Among the outstanding problems in this area are the dynamical selection ...
    • 1704 - Emerging Developments in Interfaces and Free Boundaries 

      [OWR-2017-6] Workshop Report 2017,6 (2017) - (22 Jan - 28 Jan 2017)
      The field of the mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a well established and flourishing area of research. This workshop ...
    • 0505 - Gemischte und nicht-standard Finite-Elemente-Methoden mit Anwendungen 

      [OWR-2005-5] Workshop Report 2005,5 (2005) - (30 Jan - 05 Feb 2005)
      Mixed and non-conforming finite element methods form a general mathematical framework for the spatial discretisation of partial differential equations, mainly applied to elliptic equations of second order and are becoming ...
    • 0612 - Geometric Numerical Integration 

      [OWR-2006-14] Workshop Report 2006,14 (2006) - (19 Mar - 25 Mar 2006)
      The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation. This was complemented by the question as to how preserving the geometry ...
    • 1112 - Geometric Numerical Integration 

      [OWR-2011-16] Workshop Report 2011,16 (2011) - (20 Mar - 26 Mar 2011)
      The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation. This was complemented by the question as to how structure preservation ...
    • 1612 - Geometric Numerical Integration 

      [OWR-2016-18] Workshop Report 2016,18 (2016) - (20 Mar - 26 Mar 2016)
      The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation. This was complemented by the question as to how structure preservation ...
    • 1549 - Geometric Partial Differential Equations: Surface and Bulk Processes 

      [OWR-2015-55] Workshop Report 2015,55 (2015) - (29 Nov - 05 Dec 2015)
      The workshop brought together experts representing a wide range of topics in geometric partial differential equations ranging from analyis over numerical simulation to real-life applications. The main themes of the conference ...
    • 1148 - Geometric Partial Differential Equations: Theory, Numerics and Applications 

      [OWR-2011-54] Workshop Report 2011,54 (2011) - (27 Nov - 03 Dec 2011)
      This workshop concentrated on partial differential equations involving stationary and evolving surfaces in which geometric quantities play a major role. Mutual interest in this emerging field stimulated the interaction ...
    • 1338b - High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs 

      [OWR-2013-47] Workshop Report 2013,47 (2013) - (15 Sep - 21 Sep 2013)
      Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological ...
    • 2109 - Hyperbolic Balance Laws: modeling, analysis, and numerics (hybrid meeting) 

      [OWR-2021-11] Workshop Report 2021,11 (2021) - (28 Feb - 06 Mar 2021)
      This workshop brought together leading experts, as well as the most promising young researchers, working on nonlinear hyperbolic balance laws. The meeting focused on addressing new cutting-edge research in modeling, ...