series expansion
A new type of Taylor series expansion
... Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic computation programs, ...
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Analysis of fractional partial differential equations by Taylor series expansion
... Taylor series expansion for the solution of differential equation () in such a way that the relationship among the terms of Taylor series expansion in the sense of derivative and fractional ...
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Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... Taylor-series expansion method introduced by Yuhe Ren et ...Taylor-series expansion method is that approximation can be calculated locally, ...Taylor-series expansion method to ...
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A Perturbative Based Generalized Series Expansion in Terms of Non Orthogonal Component Functions
... Fourier series may be used to estimate the size ...Fourier series can yield nonsensical ...the series expansion shown in Equation (1) as first demonstrated by Szlavik ...
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Cosine Integrals for the Clausen Function and Its Fourier Series Expansion
... Here in this note, I derive exact closed-form expressions for this integral and then I show that they can be taken as Fourier coefficients for the series expansion of a periodic extensio[r] ...
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Research on Indoor Positioning Algorithm Based on Trilateral Positioning and Taylor Series Expansion
... In order to solve the problem of low positioning accuracy of trilateral positioning and being sensitive to the initial value of Taylor series expansion, the paper firstly proposes a Co-Location algorithm. ...
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Orthonormal series expansion and finite spherical Hankel transform of generalized functions
... The finite spherical Hankel transformation is extended to generalized functions by using orthonormal series expansion of generalized functions. A complete orthonormal family of spherical Bessel functions is ...
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Damage Identification of Structures Using Second-Order Approximation of Neumann Series Expansion
... In this paper, a new method proposed for structural damage detection from limited number of sensors using extreme learning machine (ELM). One of the main challenges in structural damage identification problems is the ...
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Valuing double barrier options with time-dependent parameters by Fourier series expansion
... Fourier series expansion, we propose a simple and easy-to-use approach for computing ac- curate estimates of Black-Scholes double barrier op- tion prices with time-dependent ...
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Multi-Fidelity Automatic Hyper-Parameter Tuning via Transfer Series Expansion
... The proposed multi-fidelity optimization framework focuses on the evaluation phase of derivative-free optimization. Only evaluation phase is changed in optimization. Thus, this framework can be applied to any ...
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Real Time Implementation of Series Expansion Based Digital Controller for Magnetic Levitation System
... of series expansion of pulse transfer function subjected to step input then it is also effective for all type of ...of series coefficients m and n considered for plant and controller respectively and ...
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Truncating the Loop Series Expansion for Belief Propagation
... loop series expansion with a similar method originated in statistical physics, namely, the high-temperature expansion for Ising ...loop expansion is relative to the BP result, contrary to the ...
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Diffusion in Semiconductors by Using Fourier Series Expansion Technique
... Doping by diffusion is still one of acceptable and important methods that have essential technological applications. A theoretical approach to study diffusion in semi-conductors is introduced. The diffusion equation ...
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Some interesting series arising from the power series expansion of (sin 1x)q
... SOME INTERESTING SERIES ARISING FROM THE POWER SERIES EXPANSION OF sin−1 xq HABIB MUZAFFAR Received 3 February 2005 and in revised form 23 June 2005.. Starting from the power series expa[r] ...
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Approximate observability of infinite dimensional bilinear systems using a Volterra series expansion
... Volterra series expansion for infinite di- mensional nonlinear systems has been ...Volterra series representation for the mild solutions of a class of infinite dimensional nonlinear ...a ...
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Singular Fourier Padé Series Expansion of European Option Prices
... Fourier series are applied to price and hedge options with non-smooth prob- ability density functions, they cause the Gibbs phenomenon; accordingly, the techniques converge slowly for density functions with jumps ...
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A “Hard to Die” Series Expansion and Lucas Polynomials of the Second Kind
... Abstract We show how to use the Lucas polynomials of the second kind in the solution of a homogeneous linear differential system with constant coefficients, avoiding the Jordan canonical[r] ...
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Extending existing structural identifiability analysis methods to mixed effects models
... The concept of structural identifiability for state-space models is expanded to cover mixed-effects state-space models. Two methods applicable for the analyt- ical study of the structural identifiability of mixed-effects ...
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To Analyze Inhomogeneous Planar Layers by Cascading Thin Linear Layers
... A new method was introduced to frequency domain analyze arbitrary Inhomogeneous Planar Layers (IPLs). The IPLs are subdivided into several thin linear layers instead of uniform ones. The chain parameter matrix of linear ...
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False Positive probabilities in q-ary Tardos codes: comparison of attacks
... In [14] and [13] an in-depth analytical and numerical investigation of the Gaussian approximation was given in the RDM case. The approach is based on the convolution rule for characteristic functions, and a way to ...
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