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The necessary modifications of both the basic equations and the employed numerical methods are detailed, including, e.g., the change from spectral methods to finite difference and interpolation techniques in the radial direction and the implementation of sources and sinks.
Procedures for the application of both methods to finite element analysis have recently been proposed in the literature.
The application of the Rayleigh Ritz and extended Rayleigh Ritz energy methods to finite periodic structures with sinusoidal displacement functions is discussed.
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In this paper, we have introduced the application of parametric model reduction methods to finite-state approximations of the chemical master equation.
The purpose of this paper is to introduce the application of these parametric model reduction methods to finite-state approximations of the chemical master equation, and to show possible usage scenarios of such an approach.
Stress predictions by the singular integral equation method compare well to finite element methods for static stress conditions in a dovetail slot.
The present paper introduces the Fourier spectral method as a better alternative to finite difference methods for solving fractional-in-space reaction-diffusion systems in one and high dimensions.
Through numerical examples, the integral equation method is shown to be superior to finite difference methods.
A systematic introduction to finite element methods for PDEs and optimal control can be found for example in [7 9].
Introduction to finite element method.
This approach represents a computationally efficient alternative to finite element method.
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