Sökning: "Ordinary differential equations"

Visar resultat 16 - 20 av 59 uppsatser innehållade orden Ordinary differential equations.

  1. 16. Toxicity of Pulsed Beams in Radiation Therapy from a Physio-Chemical Perspective

    Kandidat-uppsats, Uppsala universitet/Institutionen för fysik och astronomi

    Författare :Karin Källén; [2021]
    Nyckelord :FLASH; radiotherapy; ultra high; dose rates; radiolysis; cancer; medical; FLASH; strålbehandling; ultrahög; doshastighet; radiolys; cancer; medicinsk;

    Sammanfattning : A significant portion of cancer patients receive radiotherapy as part of their curative or palliative treatment plan. Radiotherapy is however greatly limited by radiation induced toxicities in healthy tissue surrounding the tumour, which can lead to long-term or acute complications for a patient. LÄS MER

  3. 17. Comparing Multistep Methods Within Parametric Classes to Determine Viability in Solver Applications

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

    Författare :Michael Andrew Kraut; [2021]
    Nyckelord :Ordinary Differential Equations; Initial Value Problems; Linear Multistep Methods; Numerical Analysis; Numerical Solvers; Parametrized; Algorithms; Control Theory; Mathematics and Statistics;

    Sammanfattning : 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). LÄS MER

  4. 18. 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

  5. 19. Dissipative Perturbations on LRS Class II Cosmologies Using the 1+1+2 Covariant Split of Spacetime

    Master-uppsats, Umeå universitet/Institutionen för fysik

    Författare :Philip Semrén; [2020]
    Nyckelord :;

    Sammanfattning : By including dissipative fluxes in the description, this thesis extends previous results regarding first order perturbations on homogeneous and hypersurface orthogonal locally rotationally symmetric (LRS) class II cosmologies using the 1 + 1 + 2 covariant split of spacetime. Whereas previous works consider perturbations of perfect fluid type, perturbations pertaining to heat flux and fluid viscosity are here studied with the aim to ascertain their effect on the evolution of the fluid vorticity. LÄS MER

  7. 20. Comparison of numerical methods for solving a system of ordinary differential equations: accuracy, stability and efficiency

    Uppsats för yrkesexamina på grundnivå, Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Författare :Kolar Amir Taher; [2020]
    Nyckelord :Numerical methods; Explicit Runge-Kutta methods; accuracy; stability and efficiency;

    Sammanfattning : In this thesis, we compute approximate solutions to initial value problems of first-order linear ODEs using five explicit Runge-Kutta methods, namely the forward Euler method, Heun's method, RK4, RK5, and RK8. This thesis aims to compare the accuracy, stability, and efficiency properties of the five explicit Runge-Kutta methods. LÄS MER