Sökning: "Institutionen för matematiska vetenskaper Göteborgs universitet"

Visar resultat 1 - 5 av 216 avhandlingar innehållade orden Institutionen för matematiska vetenskaper Göteborgs universitet.

  1. 1. Spatial analysis and modeling of nerve fiber patterns

    Författare :Claes Andersson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; NATURAL SCIENCES; Bayesian field theory; Diabetic neuropathies; Multilevel models Statistics ; Institutionen för matematiska vetenskaper. Tillämpad matematik och statistik.; CTH; hierarchical models; Bayesian estimation; epidermal nerve fibers; cluster processes; spatial point processes; diabetic neuropathy;

    Sammanfattning : Diabetic neuropathy is a condition associated with diabetes affecting the epidermal nerve fibers (ENFs). This thesis presents analysis methods and models for ENF data, with two main puroposes: to find early signs of diabetic neuropathy and to characterize how this condition changes the nerve fiber structure. LÄS MER

  2. 2. The Dirac Equation: Numerical and Asymptotic Analysis

    Författare :Hasan Almanasreh; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :Dirac operator; eigenvalue problem; finite element method; spurious eigenvalues; Petrov-Galerkin; cubic Hermite basis functions; stability parameter; meshfree method; $hp$-cloud; intrinsic enrichment; G-convergence; $ Gamma$-convergence; scattering theory; identification; wave operator; stationary approach; Dirac operator;

    Sammanfattning : The thesis consists of three parts, although each part belongs to a specific subject area in mathematics, they are considered as subfields of the perturbation theory. The main objective of the presented work is the study of the Dirac operator; the first part concerns the treatment of the spurious eigenvalues in the computation of the discrete spectrum. LÄS MER

  3. 3. The Dirac Operator; From Numerics to the Theory of G-convergence

    Författare :Hasan Almanasreh; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Dirac operator; spuriousity; cubic Hermitian; stability parameter; G-convergence; ¡-convergence; spectral measure; quadratic form; stability parameter;

    Sammanfattning : We consider two main issues concerning the Dirac operator, the first is widely known as the appearance of spurious eigenvalues within the spectrum. The second is the study of the asymptotic behavior of the eigenvalues for a family of Dirac operators with oscillatory potential added to the Coulomb-Dirac Hamiltonian. LÄS MER

  4. 4. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions

    Författare :Adam Andersson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :Stochastic evolution equations; stochastic Volterra equations; weak approximation; Kolmogorov equations in infinite dimensions; Malliavin calculus; finite element method; backward Euler method; Kolmogorov equations in infinite dimensions;

    Sammanfattning : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. LÄS MER

  5. 5. Observability and identifiability of nonlinear systems with applications in biology

    Författare :Milena Anguelova; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Observability; identifiability; nonlinear systems; time delay; delay systems; state elimination; metabolism; conservation laws; signalling pathways.; signalling pathways.;

    Sammanfattning : This thesis concerns the properties of observability and identifiability of nonlinear systems. It consists of two parts, the first dealing with systems of ordinary differential equations and the second with delay-differential equations with discrete time delays. LÄS MER