Sökning: "Lebesgue Constant"

Hittade 2 uppsatser innehållade orden Lebesgue Constant.

1. 1. Optimising the Choice of Interpolation Nodes with a Forbidden Region

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

   Författare :Felix Bengtsson; Alex Hamben; [2022]
   Nyckelord :Interpolation; Chebyshev; polynomial interpolation; Lebesgue Constant; optimization; numerical methods;

   Sammanfattning : We consider the problem of optimizing the choice of interpolation nodes such that the interpolation error is minimized, given the constraint that none of the nodes may be placed inside a forbidden region. Restricting the problem to using one-dimensional polynomial interpolants, we explore different ways of quantifying the interpolation error; such as the integral of the absolute/squared difference between the interpolated function and the interpolant, or the Lebesgue constant, which compares the interpolant with the best possible approximating polynomial of a given degree. LÄS MER

3. 2. Multiple Phase Hele-Shaw Flows

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Karl Jonsson; [2014]
   Nyckelord :;

   Sammanfattning : A one phase Hele-Shaw flow, described by a domain D(t) (t represents time) in the plane is the flow of a liquid injected at a constant rate in the separation between two narrowly separated parallel planes. This thesis deals with the formulation and proof of existence for a multiple phase Hele-Shaw flow in arbitrary dimension R^n exhibiting separation of the phases. LÄS MER