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Attenuation of higher-order acoustic modes in a cylindrical waveguide using lined panel-cavity coupling. [PDF]
Alrashdi A +4 more
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Time-dependent Bivariational Principle: Theoretical Foundation for Real-Time Propagation Methods of Coupled-Cluster Type. [PDF]
Kvaal S +3 more
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R-function method and variational method for the bending problem of functionally graded plates with fixed supports and complex shapes. [PDF]
Su K, Li S.
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On the Numerical Stability of the Rayleigh–Ritz Method
SIAM Journal on Numerical Analysis, 1977The numerical stability of the Rayleigh–Ritz method is investigated from the point of view of Mikhlin stability and of the condition number of the Rayleigh–Ritz matrix, and it is shown that the condition number approach is more appropriate for floating-point computation.
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2013
This is the first of two chapters devoted to the approximate analysis of continuous systems. In this chapter, a global method of approximation is considered: the Rayleigh-Ritz method. It is based on the definition of a set of global assumed modes defined on the entire domain and satisfying the kinematic boundary conditions.
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This is the first of two chapters devoted to the approximate analysis of continuous systems. In this chapter, a global method of approximation is considered: the Rayleigh-Ritz method. It is based on the definition of a set of global assumed modes defined on the entire domain and satisfying the kinematic boundary conditions.
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Journal of Mathematical Chemistry
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Successive Approximations by the Rayleigh-Ritz Variation Method
Physical Review, 1933Approximate eigenvalues given by the Rayleigh-Ritz variation method for handling linear differential equations are examined and relations are established between the discrete eigenvalues obtained in successive approximations. These relations should be of use in practical computations.
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Response using the Rayleigh‐Ritz method
Earthquake Engineering & Structural Dynamics, 1979AbstractAs an example of the extension of the Rayleigh‐Ritz method to response calculations, analysis is outlined for a damped rectangular plate. For harmonic excitation amplitudes of displacement and bending moment are compared with values from a modal solution from the plate equation.
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