Exact(7)
Exponential accuracy away from the discontinuity is realized for the inviscid Burgers equation example.
Numerical examples of wave scattering are given in which the exponential accuracy of the present numerical method is demonstrated.
Gottlieb, C.-W. Shu, A. Solomonoff, H. Vandeven, On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function, J. Comput.
Due to the exponential accuracy of the quadrature and a convenient choice of collocation points near interfaces, we can use grids with a significantly lower number of nodes than most other reported methods.
Fourth, when the modes are singular but decay to zero at the endpoints (as is true of tides), a tanh-mapping can retrieve the usual exponential accuracy of spectral methods.
For polytropes with an equation of state specified by an integer polytropic index, our method delivers exponential accuracy with increased truncation, although for "stiff" equations of state (e.g. fractional) it suffers from the same accuracy loss as current methods.
Similar(53)
In conclusion, its advantages on high accuracy; exponential convergence; well-conditioning; and effective computation make the FSRBCM a first-choice among the five radial basis functions methods.
The sinc approximation has been studied by many authors to solve various equations such as integral equations [20], ordinary differential equations [21], partial differential equations [22 24], integro-differential equations [25], and so on, due to high accuracy, exponential rate of convergence, and near optimality of this method [26].
For bi-exponential kinetics, the accuracy in determining the number of components was significantly better than for tri-exponential time-activity curves.
The paper presents two original high-accuracy exponential function synthesizers with wide output dynamic ranges.
Attempts are made to increase the accuracy of exponential difference schemes.
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