Sökning: "differential ekvationer"

Visar resultat 1 - 5 av 26 uppsatser innehållade orden differential ekvationer.

  1. 1. Solving Ordinary Differential Equations and Systems using Neural Network Methods

    Kandidat-uppsats, Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Författare :Mimmi Westrin; [2023]
    Nyckelord :Neural network methods; trial solutions; numerical methods; Lotka-Volterra system; SEIR model;

    Sammanfattning : The applications of differential equations are many. However, many differential equations modelling real-world scenarios are very complex and it can be of great difficulty to find an exact solution if one even exists. Thus, it is of importance to be able to approximate solutions of differential equations. LÄS MER

  3. 2. A unified view of a family of soliton equations related to spin Calogero-Moser systems

    Master-uppsats, KTH/Fysik

    Författare :Anton Ottosson; [2022]
    Nyckelord :Soliton equations; Solitons; Integrable systems; Spin Calogero-Moser systems; Exact solutions; Benjamin-Ono-type equations; Solitonekvationer; Solitoner; Integrerbara system; sCM-system; Exakta lösningar; Ekvationer av Benjamin-Ono-typ;

    Sammanfattning : We study the interconnections between the spin Benjamin-Ono (sBO) and half-wave maps (HWM) equations, a pair of nonlinear partial integro-differential equations that have recently been found to permit multi-soliton solutions, where the time evolution of the constituent solitons can be described in terms of the well-known, completely integrable, spin Calogero-Moser (sCM) system. By considering a symmetry transformation of the sCM dynamics we are led to introduce a scale parameter into the sBO equation, yielding what we call the rescaled sBO (rsBO) equation, which has both the sBO and HWM equations as special cases. LÄS MER

  4. 3. Jet fragmentation in shaped charges

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Joakim Ericson; [2022]
    Nyckelord :Shaped charges; numerical simulation; jet fragmentation; Riktad sprängverkan; numerisk simulering; strål-fragmentering;

    Sammanfattning : This master thesis treats the numerical simulation of shaped charge jets and its fragmentation process. Shaped charges is a method to concentrate the effect of an explosive charge and penetrate deeply into a target due to a the formation of a jet with great penetration capabilities. LÄS MER

  5. 4. Electrodynamic field at spatial infinity

    Master-uppsats, KTH/Fysik

    Författare :Jakob Myhrman; [2022]
    Nyckelord :Spatial infinity; Conformal rescaling; Minkowski space; Penrose Diagram; Einstein universe; Newman-Penrose formalism; Sigma-process; Resolution of singularities; Maxwell s equations; Cylinder at spatial infinity; Rumslig oändlighet; Konform omskalning; Minkowski rummet; Penrose Diagram; Einsteins universum; Newman-Penrose formalismen; Sigma-processen; Singularitetupplösning; Maxwells ekvationer; Cylindern vid rumslig oändlighet;

    Sammanfattning : The treatment of spatial infinity is one of the remaining major open problems in the theory of isolated self-gravitating systems. Especially when one wants to model scattering of gravitational radiation in spacetime. In this thesis the conformal theory is used to study simple electromagnetic fields, close to spatial infinity. LÄS MER

  7. 5. Numeriska simuleringar av stokastiska differentialekvationer

    Kandidat-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Adam Ivehag; Tom Doran; Joakim Quach; Ludvig Jakobsson; [2021-07-01]
    Nyckelord :;

    Sammanfattning : I detta projekt presenteras grundläggande teori inom studien av stokastiska differential ekvationer (SDE:er) samt ett urval av viktiga metoder för numerisk approximation av lösningar. Detta görs på ett praktiskt vis genom kapitel som ett efter ett presenterar grundläggande begrepp samt underbygger dessa med numeriska exempel. LÄS MER