Ergebnisse für: Generalized finite difference
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The goal of this PhD is to improve various aspects of meshfree Generalized Finite Difference Methods (GFDMs). In this thesis, different meshfree GFDMs are compared, and their potential to solve over-determined problems is presented. A new method is presented that introduces conservation of fluxes in...
We consider the modeling and simulation of flows composed of a fluid with an immersed particulate solid phase within a two-way coupled scheme, which we embed into the generalized finite difference framework of the finite pointset method (FPM). Both phases are described in a Lagrangian formalism and ...
This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.Finite difference methods are a classical class of techniques for the numerical approximation of partial...
This book focuses on solving integral equations with difference kernels on finite intervals. The corresponding problem on the semiaxis was previously solved by N. Wiener–E. Hopf and by M.G. Krein. The problem on finite intervals, though significantly more difficult, may be solved using our method ...
This book provides the latest scientific advances presented at the 9ECM for mathematical modeling of the biological process of chemotaxis. The wide range of techniques presented includes seven contributions from various countries, approaches exploring different properties and numerical approaches. T...
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