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Robust numerical integrators for dynamical low-rank approximation – Gianluca Ceruti (École Polytechnique Fédérale de Lausanne)

The discretization of time-dependent high-dimensional PDEs suffers from an undesired effect, the so-called curse of dimensionality: The amount of data to be stored and treated grows exponentially and exceeds standard capacity of common computational…

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Recent extensions of scalar and matrix polynomial properties and their interactions – Aaron Melman (Santa Clara University, USA)

Several results for scalar polynomials are extended and then generalized to matrix polynomials. Among them are a directional version of Pellet’s theorem for both scalarand matrix polynomials, which establishes an exclusion interval for the…

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A “matching strategy” for optimal control problems with PDEs as constraints – Santolo Leveque (Scuola Normale Superiore, Pisa)

Saddle-point systems arise quite often in many areas of scientific computing. For instance, this type of system can be found in computational fluid dynamics, constrained optimization, finance, image reconstruction, and many more scientific…

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Construction of a sequence of orthogonal rational functions – Raf Vandebril (Department of Computer Science, KU Leuven)

Orthogonal polynomials are an important tool to approximate functions. Orthogonal rational functions provide a powerful alternative if the function of interest is not well approximated by polynomials. Polynomials orthogonal with respect to certain…

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Grassmann extrapolation for Born-Oppenheimer Molecular Dynamics – Filippo Lipparini (Dipartimento di Chimica e Chimica Industriale)

Born-Oppenheimer Molecular Dynamics (BOMD) is a powerful, yet very demanding technique in computational quantum chemistry. Performing a BOMD simulation require, for each time step, to compute the energy and forces for a quantum mechanical system,…

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