Search for dissertations about: "High order finite difference methods"
Showing result 1 - 5 of 47 swedish dissertations containing the words High order finite difference methods.
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1. Stable High-Order Finite Difference Methods for Aerodynamics
Abstract : In this thesis, the numerical solution of time-dependent partial differential equations (PDE) is studied. In particular high-order finite difference methods on Summation-by-parts (SBP) form are analysed and applied to model problems as well as the PDEs governing aerodynamics. READ MORE
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2. High Order Finite Difference Methods in Space and Time
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
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3. 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
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4. Stable and High-Order Finite Difference Methods for Multiphysics Flow Problems
Abstract : Partial differential equations (PDEs) are used to model various phenomena in nature and society, ranging from the motion of fluids and electromagnetic waves to the stock market and traffic jams. There are many methods for numerically approximating solutions to PDEs. READ MORE
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5. Finite Difference Methods for Wave Dominated Problems
Abstract : Wave models are an important class of models that describe many diverse phenomena such as sound waves, fluid flow, and quantum mechanics. These models are often described mathematically as partial differential equations (PDE). Often these equations do not admit solutions on closed-form and then the only option to study them is numerical methods. READ MORE