Search for dissertations about: ".se: finite difference for parabolic problems"

Showing result 6 - 10 of 12 swedish dissertations containing the words .se: finite difference for parabolic problems.

  2. 6. On Numerical Methods for the Diffusion Equation Subject to Non-Local Boundary Conditions

    Author : Gunnar Ekolin; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; forward Euler method; backward Euler method; the Crank-Nicolson method; heat equation; Galerkin finite element methods; backward Euler method;

    Abstract : In the first paper three different finite difference methods for solving the heat equation in one space dimension with boundary conditions containing integrals over the interior of the interval are considered. The schemes are based on the forward Euler, the backward Euler and the Crank-Nicolson methods. Error estimates are derived in maximum norm. READ MORE

  4. 7. Uncertainty quantification for wave propagation and flow problems with random data

    Author : Markus Wahlsten; Jan Nordström; Per Pettersson; Rémi Abgrall; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In this thesis we study partial differential equations with random inputs. The effects that different boundary conditions with random data and uncertain geometries have on the solution are analyzed. Further, comparisons and couplings between different uncertainty quantification methods are performed. READ MORE

  5. 8. Stability, dual consistency and conservation of summation-by-parts formulations for multiphysics problems

    Author : Fatemeh Ghasemi Zinatabadi; Jan Nordström; Thomas Hagstrom; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In this thesis, we consider the numerical solution of initial boundary value problems (IBVPs). Boundary and interface conditions are derived such that the IBVP under consideration is well-posed. We also study the dual problem and the related dual boundary/interface conditions. READ MORE

  6. 9. Numerical Simulations of Physical Discontinuities in Single and Multi-Fluid Flows for Arbitrary Mach Numbers

    Author : Gang Zhou; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Physical discontinuities, such as shocks and interfaces occur commonly in fluid mechanics. The emphasis of this dissertation lies on numerical simulations of shocked aerodynamic flows and two fluid flows with sharp interfaces in which Rayleigh-Taylor instability is present. READ MORE

  7. 10. Domain Decomposition and Preconditioned Iterative Methods for the Helmholtz Equation

    Author : Elisabeth Larsson; Kurt Otto; Bengt Fornberg; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Helmholtz equation; domain decomposition; preconditioned iterative method; fast transforms; parallelization; Numerical Analysis; Numerisk analys;

    Abstract : New preconditioned iterative solution methods for the Helmholtz equation are constructed. To evaluate the performance of the methods, two-dimensional problems with a waveguide geometry are used as model problems. Second- and fourth-order accurate finite difference discretizations are used. READ MORE