Sökning: "numerisk analys"
Visar resultat 11 - 15 av 443 avhandlingar innehållade orden numerisk analys.
11. Adaptive Algorithms and High Order Stabilization for Finite Element Computation of Turbulent Compressible Flow
Sammanfattning : This work develops finite element methods with high order stabilization, and robust and efficient adaptive algorithms for Large Eddy Simulation of turbulent compressible flows. The equations are approximated by continuous piecewise linear functions in space, and the time discretization is done in implicit/explicit fashion: the second order Crank-Nicholson method and third/fourth order explicit Runge-Kutta methods. LÄS MER
12. Boundary integral methods for fast and accurate simulation of droplets in two-dimensional Stokes flow
Sammanfattning : Accurate simulation of viscous fluid flows with deforming droplets creates a number of challenges. This thesis identifies these principal challenges and develops a numerical methodology to overcome them. Two-dimensional viscosity-dominated fluid flows are exclusively considered in this work. LÄS MER
13. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities
Sammanfattning : Eigenproblems and their nonlinear generalizations appear as important problems in a wide variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics and data science. Hence, the development and analysis of numerical algorithms to solve such problems has a broad multiplicative effect on our ability to answer several crucial scientific questions. LÄS MER
14. Energy-conservative finite element methods for nonlinear Schrödinger equations
Sammanfattning : This thesis is devoted to numerical methods for nonlinear Schrödingerequations (NLSEs). These equations have applications in a variety offields such as optics, fluid dynamics, solid-state physics and, of course,quantum mechanics. Notably, the cubic NLSE describes the dynamics of Bose-Einstein condensates. LÄS MER
15. Numerical Methods for Fluid Interface Problems
Sammanfattning : This thesis concerns numerical techniques for two phase flowsimulations; the two phases are immiscible and incompressible fluids. Strategies for accurate simulations are suggested. LÄS MER