Essays about: "Spectral theory"

Showing result 6 - 10 of 78 essays containing the words Spectral theory.

  1. 6. NH Planetary-Scale Circulation in Troposphere and Stratosphere: A Spectral and Dynamical Perspective

    University essay from Uppsala universitet/Luft-, vatten- och landskapslära

    Author : Michael Konrad Schutte; [2023]
    Keywords : jet stream; Rossby waves; polar vortex; spectral analysis; dynamic systems theory; sudden stratospheric warmings; strong polar vortex events; jetström; Rossbyvågor; polär virvel; spektralanalys; dynamisk systemteori; plötsliga stratosfäriska uppvärmingar; starka polvortexhändelser;

    Abstract : Dynamic Systems Theory (DST) and spectral analysis are employed to study the tropospheric jet stream and the stratospheric polar vortex. The objective is to investigate the relationship between Rossby wave activity and inverse persistence and dimensionality of geopotential height at 250 hPa and 10 hPa, as these two dynamical indicators are expected to show a characteristic behavior of Rossby wave harmonics. READ MORE

  3. 7. Filtering aspects

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Johannes Pape; [2023]
    Keywords : ;

    Abstract : In this report, a Fourier spectral approximation of the solution to the linear convection--diffusion equation for initial conditions of different smoothness, and for Burger's equation for the initial condition f(x) = sin(x), was constructed, and implemented. Three different filters (Cesàro, Lanczos, and 4--th order exponential cutoff) were either applied to the initial condition or to the numerical approximation after the last integration step has been performed. READ MORE

  4. 8. Memory in development and ruination : Tracing workers’ memories and futures on a transforming railway in Stockholm, Sweden

    University essay from Stockholms universitet/Kulturgeografiska institutionen

    Author : Viktor Aronsson; [2023]
    Keywords : post industrial memory; collective memory; more-than-representational theory; railway workers; spectral geographies;

    Abstract : Research on post-industrial memory have recently brought to attention the role of workers’ collective memory in deindustrialised landscapes. However, the role of memory in continued and developed industries is a theme largely unexplored. READ MORE

  5. 9. Spectral sequences for composite functors

    University essay from KTH/Matematik (Avd.)

    Author : Adam Erlandsson; [2022]
    Keywords : Algebraic topology; homological algebra; spectral sequences; fibrations; derived functors; derived categories; Algebraisk topologi; homologisk algebra; spektralsekvenser; fibreringar; deriverade funktorer; deriverade kategorier;

    Abstract : Spectral sequences were developed during the mid-twentieth century as a way of computing (co)homology, and have wide uses in both algebraic topology and algebraic geometry.  Grothendieck introduced in his Tôhoku paper the Grothendieck spectral sequence, which given left exact functors $F$ and $G$ between abelian categories, uses the right-derived functors of $F$ and $G$ as initial data and converges to the right-derived functors of the composition $G\circ F. READ MORE

  6. 10. Properties of Discrete Laplacians With Application on Brain Networks

    University essay from KTH/Matematisk statistik

    Author : David Thinsz; [2022]
    Keywords : Graph Laplacian; Combinatorial Laplacian; Persistent Laplacian; Topological data analysis; Spectral theory; Homology; Clustering.; Graf-Laplacian; Kombinatorisk Laplacian; Beständig Laplacian; Topologisk dataanalys; Spektralteori; Homologi; Klustring.;

    Abstract : This thesis investigates three discrete Laplace operators: the graph Laplacian, combinatorial Laplacian, and the more recently introduced persistent Laplacian. We discuss how these operators relate to each other and study their spectral properties. The graph Laplacian is a well-studied operator that plays a central role in spectral graph theory. READ MORE