Sökning: "Newton´s Method"
Visar resultat 1 - 5 av 13 uppsatser innehållade orden Newton´s Method.
1. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : Differential equations arise frequently in modeling of physical systems, often resulting in linear eigenvalue problems. However, when dealing with large physical domains, solving such problems can be computationally expensive. LÄS MER
2. Feigenbaum Scaling
Kandidat-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)Sammanfattning : In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. LÄS MER
3. Discovery of Neptune
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : This project is an analysis of how a planet can be found in space with the aid of mathematics. This is based on the fact that in the 19th century two mathematicians John C. LÄS MER
4. Newton’s Method for a Finite Element Approach to the Incompressible Navier-Stokes Equations
Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistikSammanfattning : 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. LÄS MER
5. Improving the Finite Difference Approximation in the Jacobian-Free Newton–Krylov Method
Kandidat-uppsats, Lunds universitet/Matematik LTHSammanfattning : The Jacobian-free Newton–Krylov (JFNK) method is designed to solve a linear system of equations that appears in Newton’s method. It uses the generalized minimal residual (GMRES) method to solve the linear system and a simple function to approximate the matrix-vector multiplications required in GMRES. LÄS MER