Search for dissertations about: "viscous Burgers’ equation"

Found 4 swedish dissertations containing the words viscous Burgers’ equation.

2. 1. Aspects of viscous shocks

   Author : Malin Siklosi; GUnilla Kreiss; Smadar Karni; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical analysis; hyperbolic conservation laws; viscous shocks; modified equation; shock capturing; computer-assisted proofs; Numerisk analys; Numerical analysis; Numerisk analys;

   Abstract : This thesis consists of an introduction and five papers concerning different numerical and mathematical aspects of viscous shocks. Hyperbolic conservation laws are used to model wave motion and advect- ive transport in a variety of physical applications. READ MORE

4. 2. Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations

   Author : Oswald Fogelklou; Warwick Tucker; Gunilla Kreiss; Piotr Zgliczynski; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; computer-assisted proof; numerical verification; viscous Burgers’ equation; enclosure; existence; nonlinear boundary value problems; Euler equations; inverse problem; bicubic spline; interval analysis; heat equation; fluid limit; peer-to-peer networks; fixed points; stability; global stability; Mathematics; Matematik;

   Abstract : This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. READ MORE

5. 3. 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

6. 4. Studies of reursive projection methods for convergence acceleration of steady state Calculations

   Author : Joakim Möller; KTH; []
   Keywords : ;

   Abstract : this paper we have defined two classes of projectionmethods. RPM(m) and NPGS(m), where RPM(1) is the classicalscheme due to Shroff \&Keller. Following the ideas in Lustet al., we obtain NPGS(m). READ MORE