Sökning: "Differential Equations"

Visar resultat 1 - 5 av 283 uppsatser innehållade orden Differential Equations.

  1. 1. Do viscous flows slip?

    Master-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Björn Sjösvärd; [2023-12-21]
    Nyckelord :Mathematics; partial differential equations; multivectors; Hodge de-compositions; the Stokes equation; Hodge boun;

    Sammanfattning : In this thesis, the Stokes equation is discussed and solved under different boundary conditions. The Stokes equation governs the flow of viscous liquids, for example honey or syrup. The first chapters in the thesis provides an introduction to multivector algebra and analysis, with the aim of presenting the concept of Hodge decompositions. LÄS MER

  3. 2. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Tindra Jernström; Anna Öhman; [2023]
    Nyckelord :Dirichlet-to-Neumann maps; Nonlinear eigenvalue problems; Absorbing boundary conditions;

    Sammanfattning : Differential equations arise frequently in modeling of physical systems, often resulting in linear eigenvalue problems. However, when dealing with large physical domains, solving such problems can be computationally expensive. LÄS MER

  4. 3. Data Assimilation for Systems with Multiple Timescales

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Dan Vicente Ihanus; [2023]
    Nyckelord :Mathematics; Partial Differential Equations; Numerical analysis; Data assimilation; Numerical weather prediction; Ensemble Kalman Filter;

    Sammanfattning : This text provides an overview of problems in the field of data assimilation. We explore the possibility of recreating unknown data by continuously inserting known data into certain dynamical systems, under certain regularity assumptions. LÄS MER

  5. 4. Discussion of Python Implementation Techniques for Discontinuous Galerkin Methods

    Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Ulf Vestberg; [2023]
    Nyckelord :Best approximation; Orthogonal polynomials; Legendre polynomials; Integration; Full tensor product; Sum-factorization; Dune; Mathematics and Statistics;

    Sammanfattning : This paper discusses implementation techniques for integration methods within the Discontinuous Galerkin Methods. These methods are used to approximate solutions for differential equations. To do so, one must compute a polynomial, which is an approximation of the used function. LÄS MER

  7. 5. Evaluation of Physics Informed Neural Networks in engineering simple structural analysis problems

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Georgios Nentidis; [2023]
    Nyckelord :;

    Sammanfattning : Neural Networks have found many applications for a long time in Machine Learning in different disciplines, and have especially flourished in the last decade because of the ever-increasing processing power especially from GPUs. Because of their ability to operate as universal function approximators and model nonlinear processes, attempts have been made in recent years to be also used for modeling partial differential equation (PDE) solutions. LÄS MER