Search for dissertations about: "Summation by parts"
Showing result 1 - 5 of 35 swedish dissertations containing the words Summation by parts.
-
1. High order summation-by-parts methods in time and space
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
-
2. Applications of summation-by-parts operators
Abstract : Numerical solvers of initial boundary value problems will exhibit instabilities and loss of accuracy unless carefully designed. The key property that leads to convergence is stability, which this thesis primarily deals with. READ MORE
-
3. Summation-by-Parts Finite Difference Methods for Wave Propagation and Earthquake Modeling
Abstract : Waves manifest in many areas of physics, ranging from large-scale seismic waves in geophysics down to particle descriptions in quantum physics. Wave propagation may often be described mathematically by partial differential equations (PDE). Unfortunately, analytical solutions to PDEs are in many cases notoriously difficult to obtain. READ MORE
-
4. Summation-by-parts formulations for flow problems
Abstract : Many problems in engineering and physics can be described by partial differential equations (PDEs). Augmented with proper initial and boundary conditions, the PDE forms an initial-boundary value problem (IBVP). An IBVP is said to be well-posed if a unique solution bounded by the given data exists. READ MORE
-
5. Error analysis of summation-by-parts formulations : Dispersion, transmission and accuracy
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