Sökning: "Finite difference approximation"
Visar resultat 1 - 5 av 53 avhandlingar innehållade orden Finite difference approximation.
1. Finite Difference Methods for Wave Dominated Problems
Sammanfattning : 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. LÄS MER
2. Stable High-Order Finite Difference Methods for Aerodynamics
Sammanfattning : 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. LÄS MER
3. Finite Difference Methods for Time-Dependent Wave Propagation Problems
Sammanfattning : Wave propagation models are essential in many fields of physics, such as acoustics, electromagnetics, and quantum mechanics. Mathematically, waves can be described by partial differential equations (PDEs). In most cases, exact solutions to wave-dominated PDEs are nearly impossible to derive. LÄS MER
4. Stable and High-Order Finite Difference Methods for Multiphysics Flow Problems
Sammanfattning : 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. LÄS MER
5. Radial Basis Function generated Finite Difference Methods for Pricing of Financial Derivatives
Sammanfattning : The purpose of this thesis is to present state of the art in radial basis function generated finite difference (RBF-FD) methods for pricing of financial derivatives. This work provides a detailed overview of RBF-FD properties and challenges that arise when the RBF-FD methods are used in financial applications. LÄS MER