Search for dissertations about: "runge kutta"
Showing result 1 - 5 of 23 swedish dissertations containing the words runge kutta.
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1. Runge-Kutta Solution of Initial Value Problems: Methods, Algorithms and Implementation
Abstract : The last decades have seen a strongly increasing use of computers for modeling larger and more complex systems. This has been made possible by a combination of increasing computer power and easy-to-use graphical modeling environments and libraries of components. READ MORE
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2. Runge–Kutta Time Step Selection for Flow Problems
Abstract : Optimality is studied for Runge-Kutta iteration for solving steady-state and time dependent flow problems. For the former type an algorithm for determining locally optimal time steps is developed, based on the fact that the squared norm of the residual produced by an m-stage scheme is a 2m-degree polynomial, the coefficients of which can be computed from scalar products of Krylov subspace vectors. READ MORE
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3. Numerical Simulation of Turbulent Flows for Turbine Blade Heat Transfer Applications
Abstract : Turbine blade heat transfer is an important engineering problem characterized by complex flow fields and high turbulence levels. This thesis is focused on using a full Navier-Stokes solver with two-equation eddy-viscosity models to predict external heat-transfer in single-stage, linear, two-dimensional uncooled turbine cascades. READ MORE
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4. Preconditioning for block matrices with square blocks
Abstract : Linear systems of equations appear in one way or another in almost every scientific and engineering problem. They are so ubiquitous that, in addition to solving linear problems, also non-linear problems are typically reduced to a sequence of linear ones. READ MORE
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5. Geometric discretization for incompressible magnetohydrodynamics on the sphere
Abstract : Many physical processes are modelled by partial differential equations (PDE), and their efficient discretization is still a challenging problem and an actively developing field. An important class of models arising in mathematical physics represents PDEs formulated in terms of a Lie-Poisson structure on the dual of infinite-dimensional Lie algebras, such as the Lie algebra of vector fields. READ MORE