Sökning: "Strong and weak convergence"

Visar resultat 1 - 5 av 11 avhandlingar innehållade orden Strong and weak convergence.

1. 1. On weak and strong convergence of numerical approximations of stochastic partial differential equations

   Författare :Fredrik Lindgren; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Additive noise; Cahn-Hilliard-Cook equation; Error estimate; Finite element; Hyperbolic equation; Parabolic equation; Rational approximation; Stochastic partial differential equation; Strong convergence; Truncation; Wiener process; Weak convergence; Weak convergence;

   Sammanfattning : This thesis is concerned with numerical approximation of linear stochastic partial differential equations driven by additive noise. In the first part, we develop a framework for the analysis of weak convergence and within this framework we analyze the stochastic heat equation, the stochastic wave equation, and the linearized stochastic Cahn-Hilliard, or the linearized Cahn-Hilliard-Cook equation. LÄS MER

3. 2. Intellectual Property Strategies and Innovation: Causes and Consequences for Firms and Nations

   Författare :Marcus Holgersson; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; appropriation; policy; innovation; management; intellectual property right; strategy; patent; open innovation; technology; Intellectual property; economics;

   Sammanfattning : New and useful ideas and knowledge, commonly denoted innovations after coming into use, are of decisive importance for economic growth and welfare. To promote the generation and diffusion of innovations, most, if not all, industrialized and industrializing societies rely on some form of an intellectual property rights (IPRs) system. LÄS MER

4. 3. Quantum Optics and Waveguide Quantum Electrodynamics in Superconducting Circuits

   Författare :Emely Wiegand; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; Quantum Optics; Circuit Quantum Electrodynamics; Waveguide Quantum Electrodynamics; Superconducting Qubits; Artificial Atoms;

   Sammanfattning : Waveguide circuit quantum electrodynamics (waveguide circuit QED) studies light-matter interaction with superconducting circuits in one dimension. In circuit QED, natural atoms are replaced by superconducting qubits consisting of a non-linear Josephson junction, resulting in an anharmonic energy spectrum just like real atoms. LÄS MER

5. 4. 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

7. 5. Weak Boundary and Interface Procedures for Wave and Flow Problems

   Författare :Qaisar Abbas; Jan Nordström; Peter Eliasson; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; weak boundary conditions; multiple penalty; finite difference methods; summation-by-parts; high order scheme; hybrid methods; MUSCL scheme; shocks; stability; energy estimate; steady-state; non-reflecting; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Sammanfattning : In this thesis, we have analyzed the accuracy and stability aspects of weak boundary and interface conditions (WBCs) for high order finite difference methods on Summations-By-Parts (SBP) form. The numerical technique has been applied to wave propagation and flow problems. LÄS MER