Sökning: "Weak Convergence"

Visar resultat 21 - 25 av 61 avhandlingar innehållade orden Weak Convergence.

1. 21. Spatial and Physical Splittings of Semilinear Parabolic Problems

   Författare :Erik Henningsson; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; splitting schemes; parabolic equations; semilinear; evolution equations; dissipative; convergence order; dimension splitting; domain decomposition; axonal growth;

   Sammanfattning : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. LÄS MER

3. 22. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces

   Författare :Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Andrea Cianchi; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; Sobolev-type space; metric measure space; upper gradient; Sobolev capacity; Banach function lattice; quasi-normed space; rearrangement-invariant space; maximal operator; Lipschitz function; regularization; weak boundedness; density of Lipschitz functions; quasi-continuity; continuity; doubling measure; Poincaré inequality;

   Sammanfattning : This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. LÄS MER

4. 23. Numerical Approximation of Solutions to Stochastic Partial Differential Equations and Their Moments

   Författare :Kristin Kirchner; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Petrov– Galerkin discretizations; Strong and weak convergence; Fractional operators; Finite element methods; Space-time variational problems; Tensor product spaces; Stochastic partial differential equations; White noise; Petrov– Galerkin discretizations;

   Sammanfattning : The first part of this thesis focusses on the numerical approximation of the first two moments of solutions to parabolic stochastic partial differential equations (SPDEs) with additive or multiplicative noise. More precisely, in Paper I an earlier result (A. Lang, S. Larsson, and Ch. LÄS MER

5. 24. On computational homogenization of fracturing continua

   Författare :Erik Svenning; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Weak periodicity; Computational Homogenization; Crack propagation; XFEM;

   Sammanfattning : Ductile fracture is important to control in many industrial processes, be it a desired phenomenon (e.g. in metal cutting) or a failure to be prevented (e.g. LÄS MER

7. 25. Nonparametric Statistical Inference for Entropy-type Functionals

   Författare :David Källberg; Oleg Seleznjev; Timo Koski; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; entropy estimation; Rényi entropy; divergence estimation; quadratic density functional; U-statistics; consistency; asymptotic normality; Poisson convergence; stationary m-dependent sequence; inter-point distances; entropy maximizing distribution; two-sample problem; approximate matching; Mathematical Statistics; matematisk statistik;

   Sammanfattning : In this thesis, we study statistical inference for entropy, divergence, and related functionals of one or two probability distributions. Asymptotic properties of particular nonparametric estimators of such functionals are investigated. We consider estimation from both independent and dependent observations. LÄS MER