Sökning: "well-posed"

Visar resultat 1 - 5 av 12 uppsatser innehållade ordet well-posed.

  1. 1. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time

    Kandidat-uppsats, Uppsala universitet/Avdelningen för beräkningsvetenskap

    Författare :Vilma Kjelldahl; [2023]
    Nyckelord :Benjamin-Bona-Mahony equation; non-linear; initial boundary value problem; summation-by-parts; simultaneous-approximation-term; time integration; simulation;

    Sammanfattning : This paper describes simulations of the generalized modified Benjamin-Bona-Mahony (BBM) equation, using finite difference methods (FDM). Well-posed boundary conditions (BCs) as well as stable semi-discrete approximations are derived using summations-by-parts (SBP) operators combined with the projection method. LÄS MER

  3. 2. Numerical solutions to the incompressible Navier-Stokes equations : Finite difference solutions in curvilinear coordinates

    Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Avdelningen för beräkningsvetenskap

    Författare :David Niemelä; [2022]
    Nyckelord :;

    Sammanfattning : A finite difference scheme for the incompressible Navier-Stokes equations in 2-dimensionalcurvilinear coordinates is derived. The scheme uses high-order Summation-By-Parts operatorsand boundaries are handled by the Projection method. LÄS MER

  4. 3. Analysis of an Ill-posed Problem of Estimating the Trend Derivative Using Maximum Likelihood Estimation and the Cramér-Rao Lower Bound

    Master-uppsats, Linnéuniversitetet/Institutionen för fysik och elektroteknik (IFE)

    Författare :Muhammad Farhan Naeem; [2020]
    Nyckelord :carbon dioxide levels; Keeling Curve; Taylor and Fourier series; Maximum Likelihood Estimation; MLE; Cramér-Rao Lower Bound; CRLB;

    Sammanfattning : The amount of carbon dioxide in the Earth’s atmosphere has significantly increased in the last few decades as compared to the last 80,000 years approximately. The increase in carbon dioxide levels are affecting the temperature and therefore need to be understood better. LÄS MER

  5. 4. Towards Identification of Effective Parameters in Heterogeneous Media

    Master-uppsats,

    Författare :David Johansson; [2020]
    Nyckelord :parameter identification; multiscale modelling; homogenization theory; partial differential equations; inverse modelling;

    Sammanfattning : In this thesis we study a parameter identification problem for a stationary diffusion equation posed in heterogeneous media. This problem is closely related to the Calderón problem with anisotropic conductivities. The anisotropic case is particularly difficult and is ill-posed both in regards to uniqueness of solution and stability on the data. LÄS MER

  7. 5. Solving an inverse problem for an elliptic equation using a Fourier-sine series.

    Kandidat-uppsats, Linköpings universitet/Matematiska institutionen

    Författare :Olivia Linder; [2019]
    Nyckelord :Regularization; ill-posed problem; Fourier-sine series; Regularisering; illaställt problem; Fouriersinusserie;

    Sammanfattning : This work is about solving an inverse problem for an elliptic equation. An inverse problem is often ill-posed, which means that a small measurement error in data can yield a vigorously perturbed solution. Regularization is a way to make an ill-posed problem well-posed and thus solvable. LÄS MER