Essays about: "Dirichlet s problem"

Showing result 1 - 5 of 10 essays containing the words Dirichlet s problem.

  1. 1. Adjoint-based Formulation for Shape Optimization Problems in Computational Fluid Dynamics

    University essay from KTH/Matematik (Avd.)

    Author : Anton Scotte; [2023]
    Keywords : ;

    Abstract : A continuous adjoint formulation for exterior optimization of Dirichlet data on the boundary for potential flow applications has been developed in this thesis. This has been performed by utilizing boundary integral methods for both the primal problem (Laplace’s equation) and for the corresponding adjoint equation (Poisson’s equation) on the unit disc. READ MORE

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

    University essay from KTH/Skolan för teknikvetenskap (SCI)

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

    Abstract : 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. READ MORE

  4. 3. The History of the Dirichlet Problem for Laplace’s Equation

    University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Author : Måns Alskog; [2023]
    Keywords : Potential Theory; Dirichlet Problem; Laplace’s Equation; Complex Analysis; Potentialteori; Dirichletproblemet; Laplaces ekvation; komplex analys;

    Abstract : This thesis aims to provide an introduction to the field of potential theory at an undergraduate level, by studying an important mathematical problem in the field, namely the Dirichlet problem. By examining the historical development of different methods for solving the problem in increasingly general contexts, and the mathematical concepts which were established to support these methods, the aim is to provide an overview of various basic techniques in the field of potential theory, as well as a summary of the fundamental results concerning the Dirichlet problem in Euclidean space. READ MORE

  5. 4. Overcoming The New Item Problem In Recommender Systems : A Method For Predicting User Preferences Of New Items

    University essay from Stockholms universitet/Statistiska institutionen

    Author : Alice Jonason; [2023]
    Keywords : Recommender systems; Content-based systems; Implicit ratings; Latent Dirichlet Allocation; Vector Space Model;

    Abstract : This thesis addresses the new item problem in recommender systems, which pertains to the challenges of providing personalized recommendations for items which have limited user interaction history. The study proposes and evaluates a method for generating personalized recommendations for movies, shows, and series on one of Sweden’s largest streaming platforms. READ MORE

  6. 5. Regularizing An Ill-Posed Problem with Tikhonov’s Regularization

    University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Author : Herman Singh; [2022]
    Keywords : Inverse problem; Ill-posed problems; Tikhonov’s regularization; Fourier series; Helmholtz equation;

    Abstract : This thesis presents how Tikhonov’s regularization can be used to solve an inverse problem of Helmholtz equation inside of a rectangle. The rectangle will be met with both Neumann and Dirichlet boundary conditions. A linear operator containing a Fourier series will be derived from the Helmholtz equation. READ MORE