Search for dissertations about: "high order accuracy"

Showing result 6 - 10 of 514 swedish dissertations containing the words high order accuracy.

2. 6. High order summation-by-parts methods in time and space

   Author : Tomas Lundquist; Jan Nordström; Peter Eliasson; David A. Kopriva; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; summation-by-parts; time integration; stiff problems; weak initial conditions; high order methods; simultaneous-approximation-term; finite difference; discontinuous Galerkin; spectral methods; conservation; energy stability; complex geometries; non-conforming grid interfaces; interpolation;

   Abstract : This thesis develops the methodology for solving initial boundary value problems with the use of summation-by-parts discretizations. The combination of high orders of accuracy and a systematic approach to construct provably stable boundary and interface procedures makes this methodology especially suitable for scientific computations with high demands on efficiency and robustness. READ MORE

4. 7. High Order Finite Difference Methods in Space and Time

   Author : Wendy Kress; Bertil Gustafsson; Gerald Warnecke; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite difference methods; Navier-Stokes equations; high order time discretization; deferred correction; stability; Numerical Analysis; Numerisk analys;

   Abstract : In this thesis, high order accurate discretization schemes for partial differential equations are investigated. In the first paper, the linearized two-dimensional Navier-Stokes equations are considered. READ MORE

5. 8. Perfectly Matched Layers and High Order Difference Methods for Wave Equations

   Author : Kenneth Duru; Gunilla Kreiss; Jan Nordsröm; Ken Mattsson; Marcus Grote; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Elastic waves; Surface waves; Perfectly matched layers; High order difference methods; Stability; Summation-by-parts operators; Boundary treatments; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Abstract : The perfectly matched layer (PML) is a novel technique to simulate the absorption of waves in unbounded domains. The underlying equations are often a system of second order hyperbolic partial differential equations. In the numerical treatment, second order systems are often rewritten and solved as first order systems. READ MORE

6. 9. High Order Local Radial Basis Function Methods for Atmospheric Flow Simulations

   Author : Erik Lehto; Elisabeth Larsson; Natasha Flyer; Tobin Driscoll; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Radial basis function; meshless method; high order finite difference; atmospheric flow; hyper-viscosity; stable algorithm; Scientific Computing; Beräkningsvetenskap;

   Abstract : Since the introduction of modern computers, numerical methods for atmospheric simulations have routinely been applied for weather prediction, and in the last fifty years, there has been a steady improvement in the accuracy of forecasts. Accurate numerical models of the atmosphere are also becoming more important as researchers rely on global climate simulations to assess and understand the impact of global warming. READ MORE

7. 10. Error analysis of summation-by-parts formulations : Dispersion, transmission and accuracy

   Author : Viktor Linders; Jan Nordström; Marco Kupiainen; Mark Carpenter; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

   Abstract : In this thesis we consider errors arising from finite difference operators on summation-by-parts (SBP) form, used in the discretisation of partial differential equations. The SBP operators are augmented with simultaneous-approximation-terms (SATs) to weakly impose boundary conditions. READ MORE