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 12 of 12 for “"ODE Solver"”.
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MATLODE: A MATLAB ODE Solver and Sensitivity Analysis Toolbox
… the effect that of perturbations of the model inputs have on the model's outputs. Some of the key insights gained using sensitivity analysis are to understand the robustness of the model with respect to perturbations, and to select the most important parameters for the model. MATLODE is a …
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An ODE solver for constrained state spaces: with applications to hybrid-system simulations
This thesis presents a solver to handle constrained-state-space ODEs. This solver locates the points where any of the states go outside of the constraining set, and then, transfers the control from the continuous time ODE to the function governing the behavior of the system on the boundaries of the …
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Analytical Solution of the Characteristic Function in the Trolle-Schwartz Model
… produced an instantaneous forward interest rate model with several stylised facts such as stochastic volatility. They derived pricing formulae in order to price bonds and bond options, which can be altered to price interest rate options such as caplets, caps and swaptions. These formulae involve …
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Integral Boundary Layer Methods in Python
<p>This thesis presents a modern approach to two Integral Boundary Layer methods implemented in the Python programming language. This work is based on two 2D boundary layer methods: Thwaites' method for laminar boundary layer flows and Head's method for turbulent boundary layer flows. Several novel …
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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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Acceleration of combustion computation fluid dynamics simulations through machine learning
… This was achieved by directly replacing the ODE solver for chemical reactions with cost-effective machine learning inference. Moreover, the proposed framework offered a practical and scalable method for combustion CFD simulations. The trained DeepONet models are integrated into an open-source …
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Analysis and Application of Haseltine and Rawlings's Hybrid Stochastic Simulation Algorithm
… effects in cellular systems are usually modeled and simulated with Gillespie's stochastic simulation algorithm (SSA), which follows the same theoretical derivation as the chemical master equation (CME), but the low efficiency of SSA limits its application to large chemical networks. To …
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Particle size prediction in reactive precipitation processes
… Population Balance (DPB) methods can accurately model precipitation process in well-mixed, uniform shear environments, but the implementation of DPB routines into CFD codes results in intractable problems.;One excellent alternative to the DPB is the Quadrature Method of Moments (QMOM), which …
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Automating Heterogeneous Parallelism in Numerical Differential Equations
… categories; The first is the parallelism of the solver operations by making each solve faster, and the latter is the parallelism between the solves, i.e., solving multiple batches at a time. We automate the parallelization process in both these domains while keeping the algorithms …
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Time Integration Methods for Large-scale Scientific Simulations
… contexts are considered: a GPU accelerated model and a distributed MPI parallel model. In both cases, the most significant performance bottleneck is the need for many vector dot products, which require costly parallel reduce operations. Biorthogonal Rosenbrock-Krylov methods are an extension …
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Mathematical modelling and control of agitated extraction columns
… analysis. A stagewise single stage backflow model was improved to mimic the dynamic operation of the column. The developed model accounts for the variation in hydrodynamics, mass transfer, and physical properties throughout the length of the column. End effects were treated by addition of …
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Air slide basic modelling
… addresses the evaluation, modification and modelling of a mass flow feeding silo, stand pipe and standard air slide system for use in handling and transporting alumina in the aluminium smelting industry. Stability and repeatability of gravitational flow rates from feeding silos and stand …