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2014
In order to obtain solutions of the integral equations arising in electroanalytical chemistry, numerical methods are often necessary. Such methods are usually based on the general idea of replacing integrals by finite sums. The methods for one-dimensional integral equations can be divided into quadrature methods, product integration methods, and ...
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In order to obtain solutions of the integral equations arising in electroanalytical chemistry, numerical methods are often necessary. Such methods are usually based on the general idea of replacing integrals by finite sums. The methods for one-dimensional integral equations can be divided into quadrature methods, product integration methods, and ...
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1993
Abstract There are several types of difficulties in finding a solution to the general contact-impact problem formulated in the preceding chapter. The difficulties come from the inherent non-linearity of the contact-impact problem itself and other possible non-linearities. First of all, the equilibrium (or fictitious ‘dynamic equilibrium’)
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Abstract There are several types of difficulties in finding a solution to the general contact-impact problem formulated in the preceding chapter. The difficulties come from the inherent non-linearity of the contact-impact problem itself and other possible non-linearities. First of all, the equilibrium (or fictitious ‘dynamic equilibrium’)
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2008
In this chapter several numerical methods frequently employed in reactor engineering are introduced. To simulate the important phenomena determining single- and multiphase reactive flows, mathematical equations with different characteristics have to be solved. The relevant equations considered are the governing equations of single phase fluid mechanics,
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In this chapter several numerical methods frequently employed in reactor engineering are introduced. To simulate the important phenomena determining single- and multiphase reactive flows, mathematical equations with different characteristics have to be solved. The relevant equations considered are the governing equations of single phase fluid mechanics,
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2012
Introduction We have seen that when the equations of motion of an offshore facility can be modeled as linear, there are sometimes analytical methods available that allow us to calculate the statistical properties of the response. In general, this possibility is lost as soon as nonlinear elements enter the dynamic model.
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Introduction We have seen that when the equations of motion of an offshore facility can be modeled as linear, there are sometimes analytical methods available that allow us to calculate the statistical properties of the response. In general, this possibility is lost as soon as nonlinear elements enter the dynamic model.
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Numerical solution of eigenvalue problems
2004The purpose of this chapter is to describe two very efficient methods for solving eigenvalue problems of the type encountered in linear and energy stability convection problems. The techniques referred to are the compound matrix method, which is simple to implement, and the Chebyshev tau technique.
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