Search for dissertations about: "Partial differential equations PDEs"
Showing result 1 - 5 of 40 swedish dissertations containing the words Partial differential equations PDEs.
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1. PDEModelica - Towards a High-Level Language for Modeling with Partial Differential Equations
Abstract : This thesis describes initial language extensions to the Modelica language to define a more general language called PDEModelica, with built-in support for modeling with partial differential equations (PDEs). Modelica® is a standardized modeling language for objectoriented, equation-based modeling. READ MORE
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2. Painlevé analysis and transformations for nonlinear partial differential equations
Abstract : Nonlinear partial differential equations play a fundamental role in the description of many physical models. In order to get a complete understanding of the phenomena which are modeled it is important to obtain exact analytic solutions. READ MORE
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3. Analysis and Applications of Heterogeneous Multiscale Methods for Multiscale Partial Differential Equations
Abstract : This thesis centers on the development and analysis of numerical multiscale methods for multiscale problems arising in steady heat conduction, heat transfer and wave propagation in heterogeneous media. In a multiscale problem several scales interact with each other to form a system which has variations over a wide range of scales. READ MORE
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4. Systems of Linear First Order Partial Differential Equations Admitting a Bilinear Multiplication of Solutions
Abstract : The Cauchy–Riemann equations admit a bilinear multiplication of solutions, since the product of two holomorphic functions is again holomorphic. This multiplication plays the role of a nonlinear superposition principle for solutions, allowing for construction of new solutions from already known ones, and it leads to the exceptional property of the Cauchy–Riemann equations that all solutions can locally be built from power series of a single solution z = x + iy ∈ C. READ MORE
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5. Oversampled radial basis function methods for solving partial differential equations
Abstract : Partial differential equations (PDEs) describe complex real-world phenomena such as weather dynamics, object deformations, financial trading prices, and fluid-structure interaction. The solutions of PDEs are commonly used to enhance the understanding of these phenomena and also as leverage to make technological improvements to consumer products. READ MORE