Accurate Goertzel Algorithm: Error Analysis, Validations and Applications
The Horner and Goertzel algorithms are frequently used in polynomial evaluation. Each of them can be less expensive than the other in special cases. In this paper, we present a new compensated algorithm to improve the accuracy of the Goertzel algorithm ...
Chuanying Li +5 more
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Analysis of the Transient Behaviour in the Numerical Solution of Volterra Integral Equations
In this paper, the asymptotic behaviour of the numerical solution to the Volterra integral equations is studied. In particular, a technique based on an appropriate splitting of the kernel is introduced, which allows one to obtain vanishing asymptotic ...
Eleonora Messina, Antonia Vecchio
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Sensorless control of PMSM using an adaptively tuned SCKF
This study reports the application of an adaptively tuned square-root Cubature Kalman filter (SCKF) for the speed and position estimation of a permanent magnet synchronous motor (PMSM) drive.
Gulur Raghavendra Gopinath +1 more
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A Time Integration Method Based on Galerkin Weak Form for Nonlinear Structural Dynamics
This paper presents a step-by-step time integration method for transient solutions of nonlinear structural dynamic problems. Taking the second-order nonlinear dynamic equations as the model problem, this self-starting one-step algorithm is constructed ...
Qinyan Xing, Qinghao Yang, Weixuan Wang
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Stability analysis of a class of nonlinear neutral delay-integro-differential equations
We deal with the stability of a class of nonlinear neutral variable delay-integro-differential equations.Firstly,we study the stability analysis of the theoretical solutions.Secondly.We discuss the numerical stability analysis of linearθ- methods for ...
CONG Yuhao, LU Cuicui, JIANG Chengxiang
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Advection–Diffusion Lattice Boltzmann Method With and Without Dynamical Filter
In multi-component flow and/or thermal flows, when the diffusion coefficient of the advection–diffusion equation is relatively small, the relaxation coefficient in the lattice Boltzmann method will be close to 0.5, which will lead to numerical ...
Zhihong Zhang, Zhiqiang Li, Yunke Wu
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Analysis of Elliptic Inverse Heat Conduction Problems Using a Pascal Polynomial Numerical Approach [PDF]
This study presents a Pascal polynomial-based numerical framework for solving inverse heat conduction problems governed by the steady-state Poisson equation.
Muhammad Khan +3 more
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Precision Calculations of the Characteristic Impedance of Complex Coaxial Waveguides Used in Wideband Thermal Converters of AC Voltage and Current [PDF]
The article presents precision and numerically stable method of calculation of the characteristic impedance of cylindrical multilayer waveguides used in high-precision wideband measuring instruments and standards, especially calculable thermal converters
Krzysztof Kubiczek, Marian Kampik
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Numerical stability of Lanczos methods [PDF]
The Lanczos algorithm for matrix tridiagonalisation suffers from strong numerical instability in finite precision arithmetic when applied to evaluate matrix eigenvalues. The mechanism by which this instability arises is well documented in the literature.
Cahill, Eamonn +4 more
openaire +3 more sources
Researchers in the field of numerical simulation of seismic wave motion have been suffering from the challenge in understanding and studying artificial boundary conditions (ABC), which is mainly attributed to the lack of systematic discussion and ...
Xun Zhang +3 more
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