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Visar resultat 1 - 5 av 37 avhandlingar som matchar ovanstående sökkriterier.
1. Numerical Solution of Ill-posed Cauchy Problems for Parabolic Equations
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
2. Numerical methods for inverse heat conduction problems
Sammanfattning : In many industrial applications one wishes to determine the temperature history on the surface of a body, where the surface itself is inaccessible for measurements. The sideways heat equation is a model of this situation. LÄS MER
3. Reconstruction of a stationary flow from boundary data
Sammanfattning : We study a Cauchy problem arising in uid mechanics, involving the socalled stationary generalized Stokes system, where one should recover the ow from boundary measurements. The problem is ill-posed in the sense that the solution does not depend continuously on data.Two iterative procedures for solving this problem are proposed and investigated. LÄS MER
4. Reconstruction of stresses in plates by incomplete Cauchy data
Sammanfattning : We consider an ill-posed boundary value problem from classical plate theory for the biharmonic equation. The boundary conditions involve incomplete Cauchy data on one part of the boundary and an extra condition on the other part. LÄS MER
5. Non-linear inverse geothermal problems
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