Search for dissertations about: "holmgren convergence"
Showing result 1 - 5 of 8 swedish dissertations containing the words holmgren convergence.
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1. Convergence Acceleration for Flow Problems
Abstract : Convergence acceleration techniques for the iterative solution of system of equations arising in the discretisations of compressible flow problems governed by the steady state Euler or Navier-Stokes equations is considered. The system of PDE is discretised using a finite difference or finite volume method yielding a large sparse system of equations. READ MORE
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2. Towards accurate modeling of moving contact lines
Abstract : The present thesis treats the numerical simulation of immiscible incompressible two-phase flows with moving contact lines. The conventional Navier–Stokes equations combined with a no-slip boundary condition leads to a non-integrable stress singularity at the contact line. READ MORE
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3. Split Trees, Cuttings and Explosions
Abstract : This thesis is based on four papers investigating properties of split trees and also introducing new methods for studying such trees. Split trees comprise a large class of random trees of logarithmic height and include e.g., binary search trees, m-ary search trees, quadtrees, median of (2k+1)-trees, simplex trees, tries and digital search trees. READ MORE
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4. Towards an adaptive solver for high-dimensional PDE problems on clusters of multicore processors
Abstract : Accurate numerical simulation of time-dependent phenomena in many spatial dimensions is a challenging computational task apparent in a vast range of application areas, for instance quantum dynamics, financial mathematics, systems biology and plasma physics. Particularly problematic is that the number of unknowns in the governing equations (the number of grid points) grows exponentially with the number of spatial dimensions introduced, often referred to as the curse of dimensionality. READ MORE
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5. Numerical Methods for Wave Propagation : Analysis and Applications in Quantum Dynamics
Abstract : We study numerical methods for time-dependent partial differential equations describing wave propagation, primarily applied to problems in quantum dynamics governed by the time-dependent Schrödinger equation (TDSE). We consider both methods for spatial approximation and for time stepping. READ MORE