Andere Kunden interessierten sich auch für
![PROPERTY-PRESERVING NUMERICAL SCHEMES FOR CONSERVATION LAWS]( "PROPERTY-PRESERVING NUMERICAL SCHEMES FOR CONSERVATION LAWS")
PROPERTY-PRESERVING NUMERICAL SCHEMES FOR CONSERVATION LAWS183,99 €![Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations]( "Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations")
Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations82,99 €![Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations]( "Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations")
Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations82,99 €![Hyperbolic and Kinetic Models for Self-organised Biological Aggregations]( "Hyperbolic and Kinetic Models for Self-organised Biological Aggregations")
Hyperbolic and Kinetic Models for Self-organised Biological Aggregations38,99 €![Methods of Shape-Preserving Spline Approximation]( "Methods of Shape-Preserving Spline Approximation")
Methods of Shape-Preserving Spline Approximation118,99 €![STRONG STABILITY PRESERVING RUNGE-KUT...]( "STRONG STABILITY PRESERVING RUNGE-KUT...")
STRONG STABILITY PRESERVING RUNGE-KUT...78,99 €![Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities]( "Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities")
Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities136,99 €
In this thesis, we are interested in numerically preserving stationary solutions of balance laws. We start by developing finite volume well-balanced schemes for the system of Euler equations and the system of Magnetohydrodynamics (MHD) equations with gravitational source term. Since fluid models and kinetic models are related, this leads us to investigate Asymptotic Preserving (AP) schemes for kinetic equations and their ability to preserve stationary solutions. In an attempt to mimic our result for kinetic equations in the context of fluid models, for the isentropic Euler equations we developed an AP scheme in the limit of the Mach number going to zero. The properties of the schemes we developed and its criteria are validated numerically by various test cases from the literature.