Recent Submissions 

  1. Max Frisch-Archiv Jahresbericht 2023 

    Max Frisch-Stiftung (2024)
    Max Frisch-Archiv Jahresbericht
    Report
  2. Land use in the Seychelles – Rethinking the Sustainability of Tourism: Appendix 

    Krütli, Pius; Marcussen, Florien; Tilley, Elizabeth; et al. (2024)
    Report
  3. Jahresbericht des Bildarchivs der ETH-Bibliothek | 2023 

    Bildarchiv der ETH-Bibliothek (2024)
    Report
  4. Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation 

    Harbrecht, Helmut; Schwab, Christoph; Zank, Marco (2024)
    SAM Research Report
    On a finite time interval \((0,T)\), we consider the multiresolution Galerkin discretization of a modified Hilbert transform \((H_T)\) which arises in the space-time Galerkin discretization of the linear diffusion equation. To this end, we design spline-wavelet systems in \((0,T)\) consisting of piecewise polynomials of degree \(\geq 1\) with sufficiently many vanishing moments which constitute Riesz bases in the Sobolev spaces \( ...
    Report
  5. Exponential Expressivity of ReLU^k Neural Networks on Gevrey Classes with Point Singularities 

    Opschoor, Joost A.A.; Schwab, Christoph (2024)
    SAM Research Report
    We analyze deep Neural Network emulation rates of smooth functions with point singularities in bounded, polytopal domains \(\mathrm{D} \subset \mathbb{R}^d\), \(d=2,3\). We prove exponential emulation rates in Sobolev spaces in terms of the number of neurons and in terms of the number of nonzero coefficients for Gevrey-regular solution classes defined in terms of weighted Sobolev scales in \(\mathrm{D}\), comprising the countably-normed ...
    Report
  6. Time-dependent electromagnetic scattering from dispersive materials 

    Nick, Jörg; Burkhard, Selina; Lubich, Christian (2024)
    SAM Research Report
    This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and passive homogeneous material, determines the wave-material interaction in the scatterer. The resulting problem is nonlocal in time inside the scatterer and is posed on an unbounded domain. Well-posedness ...
    Report
  7. Banach lattices with upper p-estimates: Free and injective objects 

    García-Sánchez, Enrique; Leung, D.H.; Taylor, Mitchell; et al. (2024)
    SAM Research Report
    We study the free Banach lattice FBL(p,∞)[E] with upper p-estimates generated by a Banach space E. Using a classical result of Pisier on factorization through Lp,∞(μ) together with a finite dimensional reduction, it is shown that the spaces ℓp,∞(n) witness the universal property of FBL(p,∞)[E] isomorphically. As a consequence, we obtain a functional representation for FBL(p,∞)[E], answering a previously open question. More generally, our ...
    Report
  8. Land use in the Seychelles – Rethinking the Sustainability of Tourism 

    Krütli, Pius; Marcussen, Florien; Tilley, Elizabeth; et al. (2024)
    Report
  9. Trend Analysis Civil Protection 2035 Uncertainties, Challenges and Opportunities 

    Kamberaj, Jurgena; Aebi, Simon; Hauri, Andrin; et al. (2024)
    CSS Risk and Resilience Reports
    This report is the third reiteration in an ongoing series dedicated to identifying and examining evolving trends relevant for civil protection. It offers an overview of relevant trends that are expected to have a substantial impact on Switzerland and its civil protection system over the next five to ten years. The report is part of the Federal Office of Civil Protection’s (FOCP) initiative to strengthen horizon scanning capabilities in ...
    Report
  10. Pilotstudie für ein Monitoring der genetischen Vielfalt in der Schweiz 

    Fischer, Martin C.; Ryffel, Andrea; Ruprecht, Kathrin; et al. (2023)
    Einer der drei Bestandteile der Biodiversität ist, neben der Vielfalt der Arten und Lebensräume, die genetische Vielfalt. Die Biodiversität steht aufgrund anthropogener Ursachen unter zunehmendem Druck, weshalb der Aktionsplan Biodiversität Schweiz und die internationalen Biodiversitätskonvention (Convention on Biological Diversity, CBD) der Vereinten Nationen (UN) die Notwendigkeit eines Monitorings der genetischen Vielfalt in natürlichen ...
    Report
  11. Vertrauen und die Lösung von Umweltproblemen, Schweizer Umweltpanel 

    Gomm, Sarah; Quoß, Franziska; Linder, Jan; et al. (2024)
    Report
  12. Einstellungen und Präferenzen der Schweizer Bevölkerung im Bereich Lärm und Lärmbekämpfung 

    Gomm, Sarah; Quoss, Franziska; Maissen, Patricia; et al. (2024)
    Report
  13. Kennwerte der Verkehrserzeugung in Güterverkehr und Logistik 

    Ruesch, Martin; Todesco, Paolo; Lordieck, Jan; et al. (2023)
    Report
  14. Heutige und künftige Bedeutung des leichten Nutzfahrzeugverkehrs (Lieferfahrzeuge) 

    Ruesch, Martin; Lordieck, Jan; Schmid, Thomas; et al. (2023)
    Report
  15. Fraumünsterpost: Life Cycle Assessment and Indoor Hygrothermal Monitoring 

    Priore, Yasmine; Posani, Magda; Habert, Guillaume (2023)
    Report
  16. The Language of Hyperelastic Materials 

    Kissas, Georgios; Mishra, Siddhartha; Chatzi, Eleni; et al. (2024)
    SAM Research Report
    The automated discovery of constitutive laws forms an emerging area that focuses on automatically obtaining symbolic expressions describing the constitutive behavior of solid materials from experimental data. Existing symbolic/sparse regression methods rely on availability of libraries of material models, which are typically hand-designed by a human expert relying on known models as reference, or deploy generative algorithms with exponential ...
    Report
  17. Efficient Computation of Large-Scale Statistical Solutions to Incompressible Fluid Flows 

    Rohner, Tobias; Mishra, Siddhartha (2024)
    SAM Research Report
    This work presents the development, performance analysis and subsequent optimization of a GPU-based spectral hyperviscosity solver for turbulent flows described by the three dimensional incompressible Navier-Stokes equations. The method solves for the fluid velocity fields directly in Fourier space, eliminating the need to solve a large-scale linear system of equations in order to find the pressure field. Special focus is put on the ...
    Report
  18. Neural Networks for Singular Perturbations 

    Opschoor, Joost A.A.; Schwab, Christoph; Xenophontos, Christos (2024)
    SAM Research Report
    We prove deep neural network (DNN for short) expressivity rate bounds for solution sets of a model class of singularly perturbed, elliptic two-point boundary value problems, in Sobolev norms, on the bounded interval (−1,1). We assume that the given source term and reaction coefficient are analytic in [−1,1]. We establish expression rate bounds in Sobolev norms in terms of the NN size which are uniform with respect to the singular perturbation ...
    Report
  19. Numerical analysis of physics-informed neural networks and related models in physics-informed machine learning 

    De Ryck, Tim; Mishra, Siddhartha (2024)
    SAM Research Report
    Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations. This article aims to provide a comprehensive review of currently available results on the numerical analysis of PINNs and related models that constitute the backbone of physics-informed machine learning. We provide a unified ...
    Report

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