A simplified formula of Laplace inversion based on wavelet theory

Wang, Jizeng; Gao, Huajian

doi:10.1002/cnm.765

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…Here, we adopt a special method of Laplace inversion suggested by the author and coworkers [38,39] to analytically approximate ( ), ( ) G t G t and 0 ( )d G τ τ τ ∫ . This wavelet-based approach of Laplace inversion has been justified by successful applications in vibration problems associated with randomness [40,41] and fractional damping [38].…”

Section: Formulation and Computational Methodologymentioning

confidence: 99%

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Fractional stochastic description of hinge motions in single protein molecules

Wang

2011

Chin. Sci. Bull.

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In this study, it is demonstrated that the motion of hinges in single protein molecules can be modeled as general fractional Langevin dynamics of harmonically bound particles driven by non-local Gaussian noise with a power-law correlation. This conclusion was justified by comparing the theoretical predictions of the proposed model to the existing molecular dynamics simulations performed on the M6I mutant of phage T4 lysozyme and E. coli ribonuclease H 1 . fractional Langevin dynamics, protein hinge motion, Laplace inversion Citation:Wang J Z. Fractional stochastic description of hinge motions in single protein molecules.

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Section: Formulation and Computational Methodologymentioning

confidence: 99%

“…(30) is usually difficult to obtain using conventional methods. Here we consider the wavelet-based Laplace inversion formula [38,39], which gives . In practical computations, the range of index k for the summation can be determined in terms of the typical frequency ω [38,39] of G(t).…”

Section: Formulation and Computational Methodologymentioning

confidence: 99%

Fractional stochastic description of hinge motions in single protein molecules

Wang

2011

Chin. Sci. Bull.

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Peaks and jumps reconstruction withB-splines scaling functions

Ortiz-Gracia¹,

Masdemont²

2014

Journal of Computational and Applied Mathematics

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We consider a methodology based in B-splines scaling functions to numerically invert Fourier or Laplace transforms of functions in the space L 2 (R). The original function is approximated by a finite combination of j th order B-splines basis functions and we provide analytical expressions for the recovered coefficients. The methodology is particularly well suited when the original function or its derivatives present peaks or jumps due to discontinuities in the domain. We will show in the numerical experiments the robustness and accuracy of the method. Date

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A simplified formula of Laplace inversion based on wavelet theory

Abstract: x(ÿ+ik=2 n ) for Laplace inverse transform is derived based on the wavelet theory. The e ciency and robustness are demonstrated through numerical examples.

Cited by 2 publications

References 9 publications

Fractional stochastic description of hinge motions in single protein molecules

Fractional stochastic description of hinge motions in single protein molecules

Peaks and jumps reconstruction withB-splines scaling functions

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