Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 15 of 15 for “"ODE system"”.
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MODELLING AND NUMERICAL STUDY OF MARBLE SULPHATION IN CULTURALE HERITAGE: A RANDOM PDE-ODE SYSTEM
… of view a new approach to the mathematical modelling of the degradation process in the context of Cultural Heritage, focusing on the description of the marble sulphation chemical reaction. Our contribution is a numerical analysis of a novel random model of the sulphation reaction on the …
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Noniterative construction of optimal quadratically-nonlinear ODE models from time series
… nonlinear ordinary differential equation (ODE) system from time series, with the latter obtained either from experiment, or from computational simulation using a higher-dimensional mathematical model (e.g., one or more partial differential equations). Previous approaches iteratively seek a …
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Existence of smooth shock profiles for hyperbolic systems with relaxation
… The existence results apply if the reduced system is strictly hyperbolic and if the underlying hyperbolic system with relaxation fulfills easy-to-check sructural conditions. In general, the ODE system for the relaxation shock profile has a singular right-hand-side. The structural conditions …
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Robust evaluation of differential geometry properties using interval arithmetic techniques
… a validated ordinary differential equation (ODE) system solver based on interval arithmetic. Iso-contouring of curvature of a Bezier surface patch. computation of curvature lines of a Bezier surface patch and computation of geodesics of a Bezier surface patch are computed by the Validated …
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Towards Pseudospectral Control and Estimation
… of pseudospectral optimal control in a model predictive control (MPC) setting is presented, as a double-tank process is controlled from one set point to another. The method quite often experiences divergence, which makes its use in a real setting limited. The thesis proposes a way to use …
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Surface-surface intersection with validated error bounds
… a validated ordinary differential equation (ODE) system solver based on interval arithmetic, we obtain a continuous, validated upper bound for the intersection curve segment in the parametric space of each surface. Application of the validated ODE solver in the context of eliminating the …
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Computational Tools for Molecular Networks in Biological Systems
… through mathematics. Some theoreticians use systems of ordinary differential equations (ODEs) as the basis for mathematical modelling of molecular networks. This thesis develops algorithms for estimating molecular reaction rate constants within those mathematical models by fitting the models …
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Model order reduction in the frequency domain via spectral proper orthogonal decomposition
In this thesis, we introduce a novel model order reduction framework for harmonically and randomly forced dynamical systems. Specifically, we emphasize the usage of spectral proper orthogonal decomposition (SPOD), recently revived by Towne et. al. (2018), which results in sets of orthogonal modes, …
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Development of an efficient fluid-structure interaction model for floating objects
… novel semi-implicit fluid-structure interaction model. The thesis is dedicated to the creation of a new numerical model that allows to study ship generated waves and ship manoeuvers in waterways for various vessel characteristics and speeds in different external current situations. A model like …
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Aspects of high field theory in relativistic plasmas
… III). A brief numerical calculation of an ODE system originating from the Maxwell equations and a Madelung decomposition of the Klein-Gorden equation with a U(1) field shows that electrostatic oscillations decay in a Klein-Gorden plasma due to quantum effects (Chapter IV). With calculations …
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Computational Modeling and Simulation Study of Dermal Wound Healing Proliferative Phase
… wounds or excessive scarring. Mathematical modeling has been used to investigate many aspects of wound healing. Angiogenesis is pertinent for dermal wound healing since the cellular activities involved in tissue repair requires oxygen and nutrients to be delivered to the wound site. By using …
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A Three Dimensional Model of Virus Dynamics in HIV Patients
<p>Mathematical models have been of great importance when attempting to analyze problems that are faced by society. With the widespread outbreak of HIV, many models have been established to explain some of the characteristics of the HIV infection. In this research, we use a three dimensional model …
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Investigations on Vortex-induced Vibration (VIV) Phenomena of Single-and-double-cylinder Flexible Beam Arrangements of Energy Harvesters
… and huge computing cost, the Van der Pol ODE system describing the VIV of cylinder-type harvester is still a feasible and economical method. Mix model coupling the acceleration, velocity and displacement model of structure acting on vortex shedding wake, is a possible way to extend their …
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Tools for dynamic model development
For this thesis, several tools for dynamic model development were developed and analyzed. Dynamic models can be used to simulate and optimize the behavior of a great number of natural and engineered systems, from the movement of celestial bodies to projectile motion to biological and chemical …
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Mathematical modelling of the innate and adaptive immune response to solid tumours
In this thesis mathematical models describing the growth of a solid tumour in the presence of an immune response are presented. Specifically, attention is focused on the interactions between cytotoxic T-lymphocytes (CTLs) and tumour cells in a small, avascular multicellular tumour. At this stage of …