Sökning: "Partial differential equations PDEs"

Visar resultat 1 - 5 av 40 avhandlingar innehållade orden Partial differential equations PDEs.

1. 1. PDEModelica - Towards a High-Level Language for Modeling with Partial Differential Equations

   Författare :Levon Saldamli; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Object oriented programming; mathematics models; partial differential equations PDEs ; relational meta-language RML ; Computer science; Datavetenskap;

   Sammanfattning : 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. LÄS MER

3. 2. Painlevé analysis and transformations for nonlinear partial differential equations

   Författare :Ove Lindblom; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : 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. LÄS MER

4. 3. Analysis and Applications of Heterogeneous Multiscale Methods for Multiscale Partial Differential Equations

   Författare :Doghonay Arjmand; Olof Runborg; Marcus Grote; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical homogenization; long time wave propagation; multiscale PDEs; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

   Sammanfattning : 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. LÄS MER

5. 4. Systems of Linear First Order Partial Differential Equations Admitting a Bilinear Multiplication of Solutions

   Författare :Jens Jonasson; Stefan Rauch; Sergio Benenti; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cauchy–Riemann equations; holomorphic functions; algebra; MATHEMATICS; MATEMATIK;

   Sammanfattning : 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. LÄS MER

7. 5. Oversampled radial basis function methods for solving partial differential equations

   Författare :Igor Tominec; Elisabeth Larsson; Bengt Fornberg; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; radial basis function; PDE; oversampling; stability; RBF-FD; RBF-PUM; unfitted;

   Sammanfattning : 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. LÄS MER