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Showing 1 to 20 of 363 for “"Ordinary differential equations"”.
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Waveform methods for ordinary differential equations
… an iterative technique for solving systems of differential equations, can be used to reduce the processing time. Waveform method has been shown to converge superlinearly on finite intervals. In this thesis, a measure of speed of convergence is defined and is used to compare the value of …
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Power Series Solutions to Ordinary Differential Equations
… of methods for finding power series solutions to ordinary differential equations. In the case that a solution to a differential equation may not be expressed in terms of elementary functions, it is practical to obtain a solution in the form of an infinite series, since many differential equations …
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Existence and uniqueness theorems for ordinary differential equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1959.
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A numerical method for systems of ordinary differential equations
… a new computational method of solving systems of ordinary differential equations. The central idea of this new method revolves around our ability to generate a numerical approximation of the general solution of systems of linear differential equations. The idea of obtaining a numerical …
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Numerical Methods for Smooth Solutions of Ordinary Differential Equations
… the coefficient parameters of a system of differential equations are often determined by error norm minimization. Minimization codes may require that partial derivatives with respect to parameters be evaluated. If the derivatives are obtained by differencing the numerical solution of the …
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Numerical Solution of Stiff Ordinary Differential Equations Using Collocation Methods
Made available in DSpace on 2014-12-13T18:01:52Z (GMT). No. of bitstreams: 1 7709075.pdf: 2874498 bytes, checksum: 35500be9b4b4d0fe80f9e6e16eb670ad (MD5) Previous issue date: 1976
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An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
Made available in DSpace on 2014-12-13T18:02:08Z (GMT). No. of bitstreams: 1 7913576.pdf: 4586247 bytes, checksum: 9e93387e85c97ce39de078f6b8e8aaad (MD5) Previous issue date: 1978
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Asynchronous waveform relaxation methods for ordinary differential equations on multiprocessors
… significant speedup in solving large systems of Ordinary Differential Equations (ODEs.) Often, large systems of ODEs have components that vary with different rates. If numerical solution is computed for the system as a whole, the step size will limited by the fastest component. Multirate methods …
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Parallel methods for the numerical solution of ordinary differential equations
… for the numerical solution of nonstiff ordinary differential equations. Stability and accuracy are the two main considerations in deriving good numerical o.d.e. methods. However, existing parallel methods have poor stability properties in that their stability regions are smaller than …
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Numerical methods for systems of highly oscillatory ordinary differential equations
… to the numerical analysis of highly oscillatory ordinary differential equations. Highly oscillatory functions appear to be at the forefront of the research in numerical analysis. In this work we developed efficient numerical algorithms for solving highly oscillatory differential equations. The …
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Generalized implicit function theorems and applications to ordinary differential equations
Includes bibliographical references.
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On the Asymptotic Theory of Linear and Nonlinear Ordinary Differential Equations
Made available in DSpace on 2014-12-14T13:09:30Z (GMT). No. of bitstreams: 1 7624163.pdf: 2960947 bytes, checksum: 71bcc4aeb0aaa8ac92f28a13586009b2 (MD5) Previous issue date: 1976
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Multi-Derivative Numerical Methods for the Solution of Stiff Ordinary Differential Equations
Made available in DSpace on 2014-12-13T18:01:38Z (GMT). No. of bitstreams: 1 7524270.pdf: 3138321 bytes, checksum: 4d3efb900ddea9b70875da5dbf5a087d (MD5) Previous issue date: 1975
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Two step runge-KUTTA-nystrom method for solving second-order ordinary differential equations
… (TSRK) method were derived to solve first-order Ordinary Differential Equations (ODE). The order conditions of TSRK method were obtained by using Taylor series expansion. The explicit TSRK method was derived and its stability were investigated. It was then analyzed experimentally. The numerical …
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A Time Integration Method of Approximate Particular Solutions for Nonlinear Ordinary Differential Equations
… fundamental solutions (MFS) to solve nonlinear ordinary differential equations. Firstly, we convert a nonlinear problem into a sequence of time-dependent non-homogeneous boundary value problems through a fictitious time integration method. The superposition principle is applied to split the …
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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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Skin deformation and animation of character models based on static and dynamic ordinary differential equations.
Animated characters play an important role in the field of computer animation, simulation and games. The basic criterion of good character animation is that the animated characters should appear realistic. This can be achieve through proper skin deformations for characters. Although various skin …
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The extension and application of differential analyzer technique in the solution of ordinary differential equations
Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering, 1933.
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