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 20 of 109 for “"ordinary differential equation"”.
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Neural ordinary differential equation models for circuits
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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An Ordinary Differential Equation Based Model For Clustering And Vector Quantization
… vector quantization or clustering based on only ordinary differential equations (ODEs) with potential for a real-time implementation. The ODE-based approach has an advantage in making it possible real-time implementation of the system with either electronic or photonic analog devices. This …
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Efficient ordinary differential equation-based modelling and skin deformations for character animation.
… research is to develop techniques based on Ordinary Differentical Equations (ODE) to efficiently create C2 continuous skin surfaces through two boundary curves, automatically generate skeleton to make the rigging process fast enough for highly efficient computer animation applications, and …
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Selecting high-confidence predictions from ordinary differential equation models of biological networks
… there has been considerable interest in ordinary differential equation (ODE) models, which have several attractive features: ODEs can describe molecular interactions with mechanistic detail, it is relatively straightforward to implement perturbations, and, in theory, they can predict the …
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Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
… sufficient data. Methods such as principal differential analysis, dynamic flux estimation, and others have been developed to overcome these challenges for ordinary differential equation models. Despite their advantages, these methods are still vastly underutilized in mathematical biology, …
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Non-Classical Symmetry Solutions to the Fitzhugh Nagumo Equation.
… in that system. Thus reaction diffusion equations are often used to model the behavior of biological phenomena. The Fitzhugh Nagumo partial differential equation is a reaction diffusion equation that arises both in population genetics and in modeling the transmission of action potentials …
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Generalization of Lie's counting theorems for second and third order ordinary differential equations
… generators of a certain form which leave an ordinary differential equation of second or third order covariant. Sophus Lic has derived such theorems for a particular class of transformations. The new theorems contain Lic’s theorems as a suboase, and are therefore called ‘generalized” theorems.
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Numerical solutions for a class of singular integrodifferential equations
… numerical schemes for a class of singular integrodifferential equations with a nonatomic difference operator. Our interest in this particular class has been motivated by an application in aeroelasticity. By applying nonconforming finite element methods, we are able to establish convergence for a …
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Integral Manifolds of Slow Adaptation (Adaptive Control, Method of Averaging)
… of averaging for deterministic signals and the ordinary differential equation approach to the study of stochastic adaptive systems is clarified.
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Thermal radiation and slip effects on mhd stagnation point flow of nanofluid over a shrinking sheet
… thermal slip parameters. The governing partial differential equations are transformed into nonlinear ordinary differential equation by a similarity transformation. Then, the numerical solutions are solved by bvp4c in Matlab software. The numerical result obtained reveal that the velocity …
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Robust evaluation of differential geometry properties using interval arithmetic techniques
… thesis presents a robust method for evaluating differential geometry properties of sculptured surfaces by using 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 …
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Sparse Learning of Nonlinear PDE Dynamics using Kalman Smoothing
Identifying differential equations from noisy measurement data requires fitting the underlying dynamics and assimilating the data, either implicitly or explicitly. The Sparse Identification of Nonlinear Dynamics (SINDy) method achieves this in two steps: a derivative estimation and smoothing step, …
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Reduction of model dimension in nonlinear finite element approximations of electromechanical systems
… The development begins by expressing Maxwell's equations in differential form to establish a wave equation for an electromechanical device. A finite-element method is used to express the solution of the wave equation in the form of an ordinary differential equation. A preliminary reduction …
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Uniqueness implies uniqueness and existence for nonlocal boundary value problems for third order ordinary differential equations.
For the third order ordinary differential equation, $y'''=f(x,y,y',y'')$, it is assumed that, for some $m\geq 4$, solutions of nonlocal boundary value problems satisfying \[y(x_1)=y_1,\ y(x_2)=y_2,\] \[y(x_m)-\sum_{i=3}^{m-1} y(x_{i})=y_3,\] $a<x_1<x_2<\cdots<x_m<b$, and $y_1,y_2,y_3\in\mathbb{R}$, …
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Analytical Solution of the Characteristic Function in the Trolle-Schwartz Model
… implementing numerical methods for solving an ordinary differential equation (ODE). Schumann (2016) confirmed the accuracy of the pricing formulae in the Trolle and Schwartz (2008) model using Monte-Carlo simulation. Both authors used a numerical ODE solver to estimate the ODE. In this …
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Nonlinear dynamics in power systems
… behavior is described by the so-called swing equation, which is a nonlinear second-order ordinary-differential equation with additive and multiplicative harmonic terms having the frequency Ω. When Ω≈ω₀, and Ω≈2ω₀, where ω₀ is the linear natural frequency of the machine, we use digital-computer …
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Maximum likelihood estimation in dynamical systems
… from a CO2 laser, using a <br>five-dimensional ordinary differential equation; <br> <br>- an extension of the multiple shooting method to delay differential <br>equations with applications to the Mackey-Glass system and to measured <br>data from an electronic circuit;
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Approximation and System Identification Techniques for Stochastic Biomolecular Systems
… the continuous time Markov chain with an ordinary differential equation or stochastic differential equation respectively must be exploited. This thesis makes contributions in both directions, rigorously justifying such approximations as well as developing the theory to perform system …
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Surface-surface intersection with validated error bounds
… parametric surface patches. Using 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 …
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Numerical methods for fractional differential equations by new caputo and hadamard types operators
Fractional ordinary differential equation (FODE) and fractional partial differential equation (FPDE) emerges in various modelling of physics phenomena. Over past decades, several fractional derivative and operator has been introduced such as Caputo-Fabrizio operator, Caputo-Hadamard fractional …
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