Sökning: "Arnoldi"

Visar resultat 1 - 5 av 10 uppsatser innehållade ordet Arnoldi.

1. 1. Kvantdynamik hos NaI-molekylexciterad av ultrasnabbfemtosekundslaserpuls : Numerisk lösning av den explicit tidsberoendeSchrödingerekvationen

   Kandidat-uppsats, Uppsala universitet/Institutionen för informationsteknologi

   Författare :Anna Johansson; Josefine Hörnell; Liza Marshah; [2023]
   Nyckelord :beräkningsvetenskap; femtosekunds laserpuls; kvantkemi; diatom modell; diabatisk system; Schrödingerekvationen; NaI;

   Sammanfattning : Detta projekt fokuserar på att undersöka dynamiken hos partiklar inom en-partikelsystem samt sammankopplade partiklar i tvåpartikelsystem genom tillämpning av numeriska metoder. Tvåpartikelsystemet som studeras är NaI-molekylen och dess dynamik, där beteendet undersöks efter systemet utsatts för en femtosekundslaserpuls. LÄS MER

3. 2. Relating the Arnoldi approximation to the best Chebyshev approximation of the characteristic polynomial - A study using a complex valued variant of the Remez algorithm

   Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Författare :Thomas Renström; [2022]
   Nyckelord :Chebyshev; Arnoldi; Remez; Tang; approximation; matrix; complex; characteristic polynomial; Mathematics and Statistics;

   Sammanfattning : The Remez algorithm is a beautiful algorithm that finds the best approximation to a function by finding points satisfying the alternation condition. In 1987 Ping Tang published his doctoral thesis detailing a version of the Remez algorithm modified for functions of complex values with complex coefficients. LÄS MER

4. 3. Risk Measurement and Performance Attribution for IRS Portfolios Using a Generalized Optimization Method for Term Structure Estimation

   Master-uppsats, Linköpings universitet/Produktionsekonomi

   Författare :Fredrik Gerdin Börjesson; Christoffer Eduards; [2021]
   Nyckelord :Interest rate measurement; term structures; multiple yield curves; principal component analysis; systematic risk; risk factors; term structure simulation; Latin hypercube sampling with dependence; risk measurement; value-at-risk; expected shortfall; interest rate swap; performance attribution;

   Sammanfattning : With the substantial size of the interest rate markets, the importance of accurate pricing, risk measurement and performance attribution can not be understated. However, the models used on the markets often have underlying issues with capturing the market's fundamental behavior. LÄS MER

5. 4. An Overview of Rosenbrock-Krylov Methods for the Numerical Solution of Ordinary Differential Equations

   Kandidat-uppsats, Lunds universitet/Matematikcentrum; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Författare :Jens Axelsson; [2021]
   Nyckelord :Rosenbrock-Krylov methods; Rosenbrock methods; Krylov subspace methods; stiff ODEs; Mathematics and Statistics;

   Sammanfattning : This thesis offers an overview of the relatively new family of Rosenbrock-Krylov numerical methods for ODEs. These methods are a further development of Rosenbrock methods, using a lower-dimension approximation of the Jacobian. LÄS MER

7. 5. 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