International Journal for Numerical Methods in EngineeringC. A. Addison and I. Gladwell, Second derivative methods applied to implicit first and second order systems , Int. J. Num. Meth. in Engng. (To appear).C.A. Addison and I. Gladwell, Second derivative methods applied to implicit first...
Understanding the Second Derivative The second derivative is the derivative of the first derivative. It is represented by the function followed by two prime symbols, or f″(x). To calculate the second derivative, the formula is f″=(f′),' which indicates that the initial step to finding th...
1)second derivative二阶导数 1.A class of stiffly stable k-step second derivative methods of order k+2;一类k步k+2阶的二阶导数方法 2.The infrared diffuse reflectance spectra of PP pellets and powder were directly determined, and then pretreated through multiple scattering calibration ( MSC) , ...
It is well known that the classical Simpson quadrature formula is not applicable when the function ϕ is not four times differentiable or when its fourth derivative \phi ^{(4)} is unbounded over the interval (\sigma ,\rho ). Recently, various authors have drawn attention to Simpson-type ...
A formula for computing the gravity disturbance from the second radial derivative of the disturbing potential. J. Geodesy. , 76 , 226–231.Li, J., A formula for computing the gravity disturbance from the second radial derivative of the disturbing potential, Journal of Ge- odesy , 2002, 76...
Possible errors may result from simplified assumptions in the mathematical model, discretization error, convergence error, and round-off error (due to the finite-precision of numerical calculations). The first-order derivative of a general signal f being a function of a variable x calculated at x...
The main purpose of this paper is to construct a numerical scheme to efficiently and quickly solve the NTSFS equation. Firstly, we introduced the L2-1σ formula with convergence order O(τ3−α) to approximate the Caputo fractional derivative for the temporal discretization and the second-order...
2.Based on First-order Second-moment Method(FOSM),a formula for calculating t.在一次二阶矩法的基础上,推导了计算模糊随机可靠度的具体公式。 3.Reliability analysis using First Order Second Moment(FOSM)is important for structural probability design,in which process demands the derivative operation.一次...
Two models were tested, a linear potential flow model using the BEM software NEMOH (Babarit and Delhommeau, 2015) and a hybrid linear potential flow model with Rainey’s spatial derivative and axial divergence term added. These were compared against experimental results from Laugesen and Hansen ...
Meanwhile, solve the second-order derivatives Δε¯kl,xm,xn(x), Δε¯θ,xm,xn(x), Δμkl,xm,xn(α)(x) and Δμθ,xm,xn(α)(x) through the derivative of FE shape function. (3) (corrector) According to the coarse-scale solutions gotten from the predicted phase, study the ...