Sökning: "Niklas Kåhlman"

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  1. 1. Summation By Parts Finite Difference Methods with Simultaneous Approximation Terms for the Heat Equation with Discontinuous Coefficients

    Kandidat-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

    Författare :Niklas Kåhlman; [2019]
    Nyckelord :Finite Difference Method; FDM; Summation By Parts; Simultaneous Approximation Terms; SBP-SAT; Heat Equation; Poisson s Equation; Discontinuous Coefficients; Piecewise Constant Coefficients; Convergence; Dual Consistency; Stability;

    Sammanfattning : In this thesis we will investigate how the SBP-SAT finite difference method behave with and without an interface. As model problem, we consider the heat equation with piecewise constant coefficients. The thesis is split in two main parts. LÄS MER