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Item type:Publication, Access status: with files , Efficient numerical implementations for the Maxey-Riley-Gatignol EquationAs a second-order, implicit integro-differential equation with singular kernel at initial time, the resolution of the Maxey-Riley-Gatignol Equation (MRGE) presented many challenges. This thesis presents new Finite Difference methods (FDM) based on the reformulation stated in Prasath et al. (2019), where the MRGE is reformulated as a boundary condition of the 1D Heat equation. The performance of the FDM are compared against existing schemes for six flow fields, providing advice on when each method performs best. The influence of the Basset History Term is studied on particle trajectories, clusters and Lagrangian Coherent Structures, delivering guidelines on when it can be omitted.Publicationtype: Doctoral Thesis51 65 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: with files , Inexact iterative projection methods for linear and nonlinear eigenvalue problemsWe give a general approach of the Jacobi- Davidson method based on any vector iteration to solve a linear or nonlinear eigenvalue problem. The influence of solving the Jacobi-Davidson correction equation inexactly is considered and we can prove linear convergence for three different cases of prerequisites. Finally, a special two parameter eigenvalue problem caused by dynamical systems with time delay is considered. Therefor, a functional which is similar to the Rayleigh functional is introduced.Publicationtype: Doctoral Thesis313 632 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , An accelerated solution method for two-stage stochastic models in disaster managementPublicationtype: Doctoral Thesis76 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , 25