Sökning: "differentialekvationer"

Visar resultat 6 - 10 av 54 avhandlingar innehållade ordet differentialekvationer.

  1. 6. Topics in the mean-field type approach to pedestrian crowd modeling and conventions

    Författare :Alexander Aurell; Boualem Djehiche; Xiaoming Hu; Roland Malhamé; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; pedestrian crowds; stochastic differential equations; mean field; stochastic control; games; backward dynamics; sticky boundary; stochastic maximum principle; social conventions; folkmassor; stokastiska differentialekvationer; medelfält; stokastisk styrning; limaktiga randvillkor; stokastiska maximumprincipen; dynamik med ändvillkor; spel; konventioner;

    Sammanfattning : This thesis consists of five appended papers, primarily addressingtopics in pedestrian crowd modeling and the formation of conventions.The first paper generalizes a pedestrian crowd model for competingsubcrowds to include nonlocal interactions and an arbitrary (butfinite) number of subcrowds. LÄS MER

  3. 7. Reconstruction of flow and temperature from boundary data

    Författare :Tomas Johansson; Vladimir Kozlov; George Bastay (Baravdish); Jürgen Rossmann; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partiella differentialekvationer; Operatorteori;

    Sammanfattning : In this thesis, we study Cauchy problems for elliptic and parabolic equations. These include the stationary Stokes system and the heat equation. Data are given on a part of the boundary of a bounded domain. The aim is to reconstruct the solution from these data. LÄS MER

  4. 8. Maximal regularity of the solutions for some degenerate differential equations and their applications

    Författare :Raya Akhmetkaliyeva; Lars-Erik Persson; Peter Wall; Kordan Ospanov; Alexey Karapetyants Karapetyants; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This PhD thesis deals with the study of existence and uniqueness together with coercive estimates for solutions of certain differential equations.The thesis consists of six papers (papers A, B, C, D, E and F), two appendices and an introduction, which put these papers and appendices into a more general frame and which also serves as an overview of this interesting field of mathematics. LÄS MER

  5. 9. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion

    Författare :André Berg; David Cohen; Per Åhag; Guillaume Dujardin; Ludovic Goudenège; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stochastic partial differential equation; mathematics; numerical analysis; numerical scheme; time integrator; convergence analysis; blowup; critical exponent; nonlinear Schrödinger equation; Manakov equation; Benjamin-Bona-Mahony equation; BBM equation; stochastic; random; dispersion; white noise dispersion; finite difference; pseudospectral; code; matlab; exponential integrator; splitting integrator; convergence in probability; Mathematics; matematik; Numerical Analysis; numerisk analys;

    Sammanfattning : This doctoral thesis provides a comprehensive numerical analysis and exploration of several stochastic partial differential equations (SPDEs). More specifically, this thesis investigates time integrators for SPDEs with white noise dispersion. LÄS MER

  7. 10. Numerical methods for parameterized linear systems

    Författare :Siobhán Correnty; Elias Jarlebring; Johan Karlsson; Kirk M. Soodhalter; Andrew J. Wathen; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Parameterized linear systems; Krylov subspace methods; preconditioning; tensor decompositions; shifted linear systems; parameterized partial differential equations; time-delay systems; transfer functions; parameter estimation problems; Parameteriserade linjära system; Krylov-metoder; förkonditionering; tensordekomposition; skiftade linjära system; parametriserade partiella differentialekvationer; tidsfördröjningssystem; överföringsfunktioner; parameteruppskattningsproblem; Numerical Analysis; Numerisk analys;

    Sammanfattning : Solving linear systems of equations is a fundamental problem in engineering. Moreover, applications involving the solution to linear systems arise in the social sciences, business, and economics. Specifically, the research conducted in this dissertation explores solutions to linear systems where the system matrix depends nonlinearly on a parameter. LÄS MER