Essays about: "differential equations"
Showing result 6 - 10 of 256 essays containing the words differential equations.
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6. Itô Diffusions on Level Sets
University essay from Uppsala universitet/Analys och partiella differentialekvationer; Uppsala universitet/Statistik, AI och data scienceAbstract : Itô diffusions that move on level sets of functions in Rn, which we have called level processes, are an overlooked variant of the classical Itô processes. These processes find themselves nestled between the study of regular Itô diffusions in Rn and diffusions which are bound to smooth manifolds. READ MORE
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7. Solving Ordinary Differential Equations and Systems using Neural Network Methods
University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)Abstract : The applications of differential equations are many. However, many differential equations modelling real-world scenarios are very complex and it can be of great difficulty to find an exact solution if one even exists. Thus, it is of importance to be able to approximate solutions of differential equations. READ MORE
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8. Application of Physics-Informed Neural Networks for Galaxy Dynamics
University essay from Linnéuniversitetet/Institutionen för fysik och elektroteknik (IFE)Abstract : Developing efficient and accurate numerical methods to simulate dynamics of physical systems has been an everlasting challenge in computational physics. Physics-Informed Neural Networks (PINNs) are neural networks that encode laws of physics into their structure. READ MORE
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9. Gravity water waves over constant vorticity flows: from laminar flows to touching waves
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : In a recent paper, Hur and Wheeler proved the existence of periodic steady water waves over an infinitely deep, two-dimensional and constant vorticity flow and subject to gravity whose profile overhangs, among which, waves whose surface touches at a point, enclosing a bubble of air. We take this further, proving the existence of a continuous curve of water waves from a laminar flow up to a touching wave for fixed non-zero gravity. READ MORE
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10. Dynamic Consequences of Bearing Radial Clearance in Jeffcott Rotors
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : Earlier research on bearing radial clearance on a vertical Jeffcott rotor is rare, but an interesting and realistic point of view in a rotor system. Applying this force to the system produces interesting results for a vertical Jeffcott rotor. READ MORE
