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Showing 1 to 20 of 657 for “"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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Statistical-grey consistent grey differential equation modelling
Includes abstract. Includes bibliographical references (p. 152-156).
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An impulsive differential equation model for Marek's disease
… well by what are referred to as impulsive differential equations, systems of differential equations coupled with discrete mappings in state space. In this thesis we employ impulsive differential equations to model disease transmission within an industrial livestock barn. In particular we …
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Oscillation of a Third Order Nonhomogeneous Differential Equation.
… the third order, nonhomogeneous, (NH), linear differential equation(NH) y'"+ p(x)y' + q(x)y = f(x),together with the associated homogeneous equation(H) u'" + p(x)u' + q(x)u = 0.The coefficient functions p(x), q(x), and the forcing function f(x) are assumed to be continuous, real-valued …
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Partial differential equation-based surface modelling and applications.
… deformations for better realism etc., partial differential equation (PDE)-based modelling provides a powerful technique of creating, manipulating, and animating 3D models, and has been attracting considerable attention in the community of computer graphics in the last three decades. Various …
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Novel Concepts for Differential -Equation-Based Electromagnetic Field Simulations
… concept is then studied within the language of differential forms to unify the various PML formulations. Finally, the language of differential forms is also utilized to provide a coordinate-free description and analyze consistency properties of the electromagnetic theory on lattice, for PDE …
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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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On the Oscillation of a Fourth Order Nonhomogeneous Differential Equation.
… of (NH). Oscillation of fourth order homogeneous equations has been studied by M. S. Keener, and W. Leighton and Z. Nehari.
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An Ordinary Differential Equation Based Model For Clustering And 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 dynamical …
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Differential equation-based shape interpolation for surface blending and facial blendshapes.
Differential equation-based shape interpolation has been widely applied in geometric modelling and computer animation. It has the advantages of physics-based, good realism, easy obtaining of high- order continuity, strong ability in describing complicated shapes, and small data of geometric models. …
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Solutions of the differential equation u''' + [pi]²zu' + 3αpi]²u = o
Thesis: M.S., Massachusetts Institute of Technology, Department of Mathematics, 1957
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Approximations and Object-Oriented Implementation for a Parabolic Partial Differential Equation
This work is a numerical study of the 2-D heat equation with Dirichlet boundary conditions over a polygonal domain. The motivation for this study is a chemical vapor deposition (CVD) reactor in which a substrate is heated while being exposed to a gas containing precursor molecules. The interaction …
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Dynamics and Asymptotic Behavior of the Solutions of a Nonlinear Differential Equation
Initial value problems of the form dx/dt= t xP, x(a) = β are examined, first when p = 2. Applying Euler's method, a numerical approximation technique, when p = 2 for certain initial conditions produces a numerical solution which resembles a bifurcation diagram very similar to that produced by the …
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Efficient ordinary differential equation-based modelling and skin deformations for character animation.
… 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 achieve physically …
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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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A Numerical Study of a Delay Differential Equation Model for Breast Cancer
… drug therapies on the cancer. We use delay differential equations to model the interaction of breast cancer cells with the immune system. The new model is constructed by combining two previous models. The first model accounts for different cell cycles and includes terms to evaluate drug …
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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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Reverse Engineering of Aircraft Wing Data Using a Partial Differential Equation Surface Model
… representation is in the form of mathematical equations that are compatible with computer-aided design and computer-aided manufacturing (CAD/CAM) equipment. The four basic steps to the reverse engineering process are data acquisition, data separation, surface or curve fitting, and CAD/CAM …
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