In this paper, the convergence of a modified exponential Euler method, with a spectral method for spatial discretization, is proved to have order αin both the time and space for possibly nonsmooth initial data in \\({L^4}(\\Omega;{{\\dot H}^\\beta}({\\cal O}))\\) with β > ...
Generally, the lowest power of Δt in the DVF corresponds to the order of the numerical methods [35]: here, this agrees with the fact that the explicit Euler method is first-order. It is clearly visible from the above demonstration that the calculation of the DVF can quickly become ...
Event function Indexing ErrorMATLAB Online で開くWe cannot tell the reason without the complete code you are using.But don't you have to setテーマコピーopts = odeset('RelTol',1e-12,'AbsTol',1e-12,'Events',@(t,x)Xmoon(t,x,mu));% accuracy tolerancesinstead ofテーマコピーopts = ...
In this work, an analysis is carried out vis-à-vis an explicit iterative algorithm proposed by Qureshi et al (2013) for initial value problems in ordinary differential equations. The algorithm was constructed using the well-known Forward Euler's method and its variants. Discussion carries with ...
{k}=-12 \;\text{mV}\)represented the Nernst potentials of K +;\({g}_{l}\)= 0.3 was the leakage conductance mS/cm2;\({E}_{l}= 10.6 \, \text{mV}\)as Nernst potentials while there is no leakage current;\(dt=0.01\)time step for forward Euler method. The additional ‘...
This paper shows that the inverse chirp z-transform (ICZT), which generalizes the inverse fast Fourier transform (IFFT) off the unit circle in the complex plane, can also be used with chirp contours that perform partial or multiple revolutions on the uni
I guess you are using the Euler rotation system - (you have x,y,z values for rotation). You should google how to convert them to a quaternion system. (x,y,z,w values for rotation) [You have in your code a fixed .x part, which is incorrect—(PxHalfPi)] ...
We recall that if the gradientis of superlinear growth, then the classical forward Euler–Maruyama method is known to be divergent in the strong and weak sense, see [18]. This problem can be circumvented by using modified versions of the explicit Euler–Maruyama method based on techniques such...
As an example, it was observed in the numerical experiments in [7] that the upwind SBP-SAT method has a higher-than-expected convergence rate when solving the advection equation and a first-order linear hyperbolic system. The first main contribution of this paper is to derive error estimates ...
The bound for the error here is as strong as can be established on generalized Riemann hypothesis (GRH) with their method. The aim of this paper is to improve the estimate (3) concerning X. Theorem 1 Let X > 0 and Δ ( X ; a ) be defined in (1). We have Δ ( X ; a )...