Search for dissertations about: "finite difference equations"
Showing result 1 - 5 of 93 swedish dissertations containing the words finite difference equations.
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1. 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
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2. Finite Difference and Discontinuous Galerkin Methods for Wave Equations
Abstract : Wave propagation problems can be modeled by partial differential equations. In this thesis, we study wave propagation in fluids and in solids, modeled by the acoustic wave equation and the elastic wave equation, respectively. READ MORE
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3. 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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4. 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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5. Hybrid Solvers for the Maxwell Equations in Time-Domain
Abstract : The most commonly used method for the time-domain Maxwell equations is the Finite-Difference Time-Domain method (FDTD). This is an explicit, second-order accurate method, which is used on a staggered Cartesian grid. The main drawback with the FDTD method is its inability to accurately model curved objects and small geometrical features. READ MORE