Sökning: "Beräkningsvetenskap med inriktning mot numerisk analys"

Visar resultat 16 - 20 av 41 avhandlingar innehållade orden Beräkningsvetenskap med inriktning mot numerisk analys.

1. 16. Efficient and Reliable Simulation of Quantum Molecular Dynamics

   Författare :Katharina Kormann; Sverker Holmgren; Gunilla Kreiss; Hans O. Karlsson; Christian Lubich; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; time-dependent Schrödinger equation; quantum optimal control; exponential integrators; spectral elements; radial basis functions; global error control and adaptivity; high-performance computing implementation; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : The time-dependent Schrödinger equation (TDSE) models the quantum nature of molecular processes.  Numerical simulations based on the TDSE help in understanding and predicting the outcome of chemical reactions. LÄS MER

3. 17. High-order finite element methods for incompressible variable density flow

   Författare :Lukas Lundgren; Murtazo Nazarov; Anders Logg; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Finite element method; artificial viscosity; Navier-Stokes equations; conservation properties; artificial compressibility; viscous regularization; variable density flow; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : The simulation of fluid flow is a challenging and important problem in science and engineering. This thesis primarily focuses on developing finite element methods for simulating subsonic two-phase flows with varying densities, described by the variable density incompressible Navier-Stokes equations. LÄS MER

4. 18. Stochastic Simulation of Multiscale Reaction-Diffusion Models via First Exit Times

   Författare :Lina Meinecke; Per Lötstedt; Stefan Engblom; Ramon Grima; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational systems biology; diffusion; first exit times; unstructured meshes; reaction-diffusion master equation; macromolecular crowding; excluded volume effects; finite element method; backward analysis; stochastic simulation; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : Mathematical models are important tools in systems biology, since the regulatory networks in biological cells are too complicated to understand by biological experiments alone. Analytical solutions can be derived only for the simplest models and numerical simulations are necessary in most cases to evaluate the models and their properties and to compare them with measured data. LÄS MER

5. 19. Radial Basis Function generated Finite Difference Methods for Pricing of Financial Derivatives

   Författare :Slobodan Milovanović; Lina von Sydow; Bertram Düring; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Radial basis function; Finite difference; Computational finance; Pricing of financial derivatives; Option pricing; Partial differential equation; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : The purpose of this thesis is to present state of the art in radial basis function generated finite difference (RBF-FD) methods for pricing of financial derivatives. This work provides a detailed overview of RBF-FD properties and challenges that arise when the RBF-FD methods are used in financial applications. LÄS MER

7. 20. Inflow generation for scale-resolving simulations of turbulent boundary layers

   Författare :Timofey Mukha; Mattias Liefvendahl; Gunilla Kreiss; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : Generating inflow fields for scale-resolving simulations of turbulent flow is crucial for a wide range of applications and is an active area of research. In this thesis, a method for inflow generation employing a precursor turbulent channel flow simulation is proposed. LÄS MER