Essays about: "equation error method"
Showing result 11 - 15 of 45 essays containing the words equation error method.
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11. Comparing Multistep Methods Within Parametric Classes to Determine Viability in Solver Applications
University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : In the 2017 paper by Arévalo and Söderlind, a framework was established for creating linear multistep methods of various classes based on a polynomial formulation which includes variable step size adaptivity. These classes are: k step explicit and implicit methods of order k and k+1 respectively for nonstiff problems (such as Adams methods), and k step implicit methods of order k for stiff problems (such as BDF methods). READ MORE
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12. A numerical investigation of Anderson localization in weakly interacting Bose gases
University essay from KTH/Numerisk analys, NAAbstract : The ground state of a quantum system is the minimizer of the total energy of that system. The aim of this thesis is to present and numerically solve the Gross-Pitaevskii eigenvalue problem (GPE) as a physical model for the formation of ground states of dilute Bose gases at ultra-low temperatures in a disordered potential. READ MORE
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13. Optimizing multigrid smoothers using GLT theory
University essay from Lunds universitet/Matematik LTH; Lunds universitet/MatematikcentrumAbstract : Multigrid algorithms are algorithms used to find numerical solutions to differential equations using a hierarchy of grids of different coarseness. This exploits the fact that short-wavelength components of the solutions converges at a faster rate than the long-wavelength components when using some basic iterative methods, such as the Jacobi method or the Gauss-Seidel method. READ MORE
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14. Numerical solutions to high frequency approximations of the scalar wave equation
University essay from Uppsala universitet/Tillämpad beräkningsvetenskapAbstract : Throughout many fields of science and engineering, the need for describing waveequations is crucial. Solving the wave equation for high-frequency waves istime-consuming, requires a fine mesh size and memory usage. The main goal wasimplementing and comparing different solution methods for high-frequency waves. READ MORE
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15. Comparative Analysis of Adaptive Domain Decomposition Algorithms for a Time-Spectral Method
University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)Abstract : Time-spectral solvers for partial differential equations (PDE) have been explored in various forms during the last few decades. The generalized weighted residual method (GWRM) is one such method with a high accuracy and efficiency. The GWRM has so far been implemented almost exclusively with a uniform grid of subdomains in the spatial domain. READ MORE
