Sökning: "Newton´s Method"

Visar resultat 1 - 5 av 13 uppsatser innehållade orden Newton´s Method.

1. 1. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems

   Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

   Författare :Tindra Jernström; Anna Öhman; [2023]
   Nyckelord :Dirichlet-to-Neumann maps; Nonlinear eigenvalue problems; Absorbing boundary conditions;

   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

3. 2. Feigenbaum Scaling

   Kandidat-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

   Författare :Janek Sendrowski; [2020]
   Nyckelord :Feigenbaum; Feigenbaum constant; Feigenbaum point; superstable; self-similarity; fractals; final-state diagram; logistic map; period-doubling operator; linearized period-doubling operator; Cantor set; Sharkovsky sequence; Chebyshev interpolation; stable manifold; unstable manifold; orbits; fixed points; scaling factor; pitchfork bifurcation; cobweb plot; renormalization; iterates; one-hump map; unimodal map; bifurcation cascade; Feigenbaum universality; chaos theory; spectrum; generalized Feigenvalues; bifurcation points; superstable points; fixed function; universal function; eigenvalues; eigenvectors; eigenfunctions; universality conditions; Schwarzian derivative; Newton’s method; power method; Arnoldi’s method; attractive fixed point; repellent fixed point; Banach fixed-point theorem; collocation method; functional analysis; topology;

   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

4. 3. Discovery of Neptune

   Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

   Författare :Gustav Eriksson; Kevin Garcia Martin; [2018]
   Nyckelord :;

   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

5. 4. Newton’s Method for a Finite Element Approach to the Incompressible Navier-Stokes Equations

   Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik

   Författare :Michael Brandl; [2016]
   Nyckelord :;

   Sammanfattning : 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

7. 5. Improving the Finite Difference Approximation in the Jacobian-Free Newton–Krylov Method

   Kandidat-uppsats, Lunds universitet/Matematik LTH

   Författare :Robert Van Heyningen; [2016]
   Nyckelord :GMRES; Jacobian-free; Fluid; Mathematics and Statistics;

   Sammanfattning : 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