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Systems of linear first order partial differential equations admitting a bilinear multiplication of solutions /Jonasson, Jens, January 2007 (has links)
Diss. Linköping : Linköpings universitet, 2007.
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Studies on boundary values of eigenfunctions on spaces of constant negative curvature /Bäcklund, Pierre, January 2008 (has links)
Diss. (sammanfattning) Uppsala : Univ., 2008. / Härtill 2 uppsatser.
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Reconstruction of flow and temperature from boundary data /Johansson, Tomas, January 2003 (has links) (PDF)
Diss. Linköping : Univ., 2003.
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A study of smooth functions and differential equations on fractals /Pelander, Anders, January 2007 (has links)
Diss. (sammanfattning) Uppsala : Uppsala universitet, 2007. / Härtill 3 uppsatser.
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Some numerical and analytical methods for equations of wave propagation and kinetic theory /Mossberg, Eva, January 2008 (has links)
Diss. (sammanfattning) Karlstad : Karlstads universitet, 2008. / Härtill 4 uppsatser.
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Reconstruction of flow and temperature from boundary dataJohansson, Tomas January 2003 (has links)
In this thesis, we study Cauchy problems for elliptic and parabolic equations. These include the stationary Stokes system and the heat equation. Data are given on a part of the boundary of a bounded domain. The aim is to reconstruct the solution from these data. These problems are ill-posed in the sense of J. Hadamard. We propose iterative regularization methods, which require solving of a sequence of well-posed boundary value problems for the same operator. Methods based on this idea were _rst proposed by V. A. Kozlov and V. G. Maz'ya for a certain class of equations which do not include the above problems. Regularizing character is proved and stopping rules are proposed. The regularizing character for the heat equation is proved in a certain weighted L2 space. In each iteration the Zaremba problem for the heat equation is solved. We also prove well-posedness of this problem in a weighted Sobolev space. This result is of independent interest and is presented as a separate paper.
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PDEModelica : a high-level language for modeling with partial differential equations /Saldamli, Levon, January 2006 (has links)
Diss. Linköping : Linköpings universitet, 2006.
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High order finite difference methods in space and time /Kress, Wendy, January 2003 (has links)
Diss. (sammanfattning) Uppsala : Univ., 2003. / Härtill 6 uppsatser.
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On the pricing equations of some path-dependent options /Eriksson, Jonatan, January 2006 (has links)
Diss. (sammanfattning) Uppsala : Uppsala universitet, 2006. / Härtill 4 uppsatser.
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Sobolev Spaces and the Finite Element MethodDavidsson, Johan January 2018 (has links)
In this essay we present the Sobolev spaces and some basic properties of them. The Sobolev spaces serve as a theoretical framework for studying solutions to partial differential equations. The finite element method is presented which is a numerical method for solving partial differential equations.
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