Sökning: "Tikhonov regularization"

Visar resultat 1 - 5 av 13 avhandlingar innehållade orden Tikhonov regularization.

1. 1. Regularization of Parameter Problems for Dynamic Beam Models

   Författare :Sara Rydström; Börje Nilsson; Fredrik Berntsson; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Euler-Bernoulli beam equation; parameter identification; bending stiffness; refractive index; Tikhonov regularization; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

   Sammanfattning : The field of inverse problems is an area in applied mathematics that is of great importance in several scientific and industrial applications. Since an inverse problem is typically founded on non-linear and ill-posed models it is a very difficult problem to solve. LÄS MER

3. 2. Geoid determination over Ethiopia with emphasis on downward continuation of gravity anomailes

   Författare :Addisu Hunegnaw; KTH; []
   Nyckelord :geoidal height; modified stokes formula; downward continuation; phillips-tikhonov regularization; wavelet analysis; lateral density variations;

   Sammanfattning : .... LÄS MER

4. 3. Regularization methods for solving Cauchy problems for elliptic and degenerate elliptic equations

   Författare :Jennifer Chepkorir; Vladimir Kozlov; Fredrik Berntsson; Alexei Iantchenko; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : In this thesis, we study Cauchy problems for the elliptic and degenerate elliptic equations. These problems are ill-posed. We split the boundary of the domain into two parts. On one of them, say Γ0, we have available Cauchy data and on remaining part Γ1 we introduce unknown Robin data. LÄS MER

5. 4. Non-linear inverse geothermal problems

   Författare :Dennis Wokiyi; Vladimir Kozlov; Fredrik Berntsson; Mårten Gulliksson; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : The inverse geothermal problem consist of estimating the temperature distribution below the earth’s surface using temperature and heat-flux measurements on the earth’s surface. The problem is important since temperature governs a variety of the geological processes including formation of magmas, minerals, fosil fuels and also deformation of rocks. LÄS MER

7. 5. Numerical Solution of Ill-posed Cauchy Problems for Parabolic Equations

   Författare :Zohreh Ranjbar; Lars Eldén; Per Christian Hansen; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Sammanfattning : Ill-posed mathematical problem occur in many interesting scientific and engineering applications. The solution of such a problem, if it exists, may not depend continuously on the observed data. For computing a stable approximate solution it is necessary to apply a regularization method. LÄS MER