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Showing 1 to 9 of 9 for “"Differential Equations-Partial"”.
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An Agent-Based Model to Study the Spread and Control of Epidemics
… of the spread of diseases, including Ordinary Differential Equations, Partial Differential Equations, and Difference Equations. In this study, an agent-based model is used to study the spread and control of epidemics and is based on Sirakoulis, et al. [1]. The computer program NetLogo [2] is …
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Homogenization of Partial Differential Equations with Random, Large Potential
Partial differential equations with highly oscillatory, random coefficients describe many applications in applied science and engineering such as porous media and composite materials. Homogenization of PDE states that the solution of the initial model converges to the solution to a macro model, …
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Local Regularity of the Complex Monge-Ampere Equation
In this thesis, we present a self-contained account of the current development in the local regularity theory of the complex Monge-Ampere equation through the modern fully-nonlinear PDE point of view. We have apply the modern elliptic techniques to establish new local regularity results. These …
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Analysis of a Partial Differential Equation Model of Surface Electromigration
<p>A Partial Differential Equation (PDE) based model combining surface electromigration and wetting is developed for the analysis of the morphological instability of mono-crystalline metal films in a high temperature environment typical to operational conditions of microelectronic interconnects. …
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Discontinuous differential equations
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-15 without embargo terms
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Differentialgleichungen in Frécheträumen
… sowie eine Einführung in die Integral- und Differentialrechnung in Frécheträumen. Insbesondere wird in Kapitel 2 eine ausführliche Darstellung des Lebesgue-Bochner-Integrals auf Frécheträumen geliefert. Teil 2 behandelt die Theorie der linearen Differentialgleichungen auf Frécheträumen. Dazu …
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Consistency of nonparametric Bayesian methods for two statistical inverse problems arising from partial differential equations
Partial differential equations (PDEs) govern many natural phenomena. When trying to understand the parameters driving these phenomena, we must be aware of the inevitable errors in our measurements; in statistical inverse problems these measurement errors are modelled by statistical noise. One …
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Asymptotic theory for Bayesian nonparametric inference in statistical models arising from partial differential equations
Partial differential equations (PDEs) are primary mathematical tools to model the behaviour of complex real-world systems. PDEs generally include a collection of parameters in their formulation, which are often unknown in applications and need to be estimated from the data. In the present thesis, …