Essays about: "fixed-point iteration"
Found 5 essays containing the words fixed-point iteration.
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1. A Relation Between Anderson Acceleration and GMRES
University essay from Lunds universitet/MatematikcentrumAbstract : A very common type of problem within mathematics and numerical analysis are fixed-point problems, which can arise as sub-problems of optimization methods, differential equations solvers and much more. The most basic iterative approach for fixed-point problems is fixed-point iteration, special cases of which actually date back as far as the Babylonians, where it was used to to find the square roots of positive numbers. READ MORE
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2. Analyzing arterial blood flow by simulation of bifurcation trees
University essay from Linköpings universitet/Matematik och tillämpad matematikAbstract : The flow of blood in the human body is a very important component in un-derstanding a number of different ailments such as atherosclerosis and a falseaneurysm. In this thesis, we have utilized Poiseuille’s solution to Navier-Stokesequations with a Newtonian, incompressible fluid flowing laminar with zero ac-celeration in a pipe with non-flexible walls in order to study blood flow in anarterial tree. READ MORE
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3. Newton’s Method for a Finite Element Approach to the Incompressible Navier-Stokes Equations
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : The cG(1)cG(1)-method is a finite element method for solving the incompressible Navier-Stokes equations, using a splitting scheme and fixed-point iteration to resolve the nonlinear term u · ∇u. In this thesis, Newton’s method has been implemented on a formulation of the cG(1)cG(1)-method without splitting, resulting in equal results for the velocity and pressure computation, but higher computation times and slower convergence. READ MORE
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4. Evaluation and Optimization of Execution Plans for Fixpoint Iterative Algorithms in Large-Scale Graph Processing
University essay from KTH/Skolan för informations- och kommunikationsteknik (ICT)Abstract : In large-scale graph processing, a fixpoint iterative algorithm is a set of operations where iterative computation is the core. The aim, in fact, is to perform repetitive operations refining a set of parameter values, until a fixed point is reached. To describe fixpoint iterative algorithms, template execution plans have been developed. READ MORE
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5. Optimising IIR Filters Using ARM NEON
University essay from Malmö högskola/Fakulteten för teknik och samhälle (TS)Abstract : ARMs processorserie Cortex-A9 har stöd för SIMD-instruktioner med hjälp av NEON MPE. Detta innebär att processorn kan använda sig av vektor-instruktioner som kan utföra operationer på ett flertal element med varje instruktion. READ MORE