The numerical solution of highly oscillatory initial value problems of second order with a unique high frequency is considered. New methods based on Fourier approximations are proposed. These methods can integrate the problems with reasonable stepsizes not dependent on the size of the frequency
In this paper, an asymptotic expansion is constructed to solve\ud second-order dierential equation s...
AbstractNumerical integration techniques which have been previously thought of as distinct are shown...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
AbstractThis paper presents a new efficient parameter method for integration of the highly oscillato...
AbstractWith existing numerical integration methods and algorithms it is difficult in general to obt...
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cau...
The concern of this paper is in expanding and computing initial-value problems of the form y' = f(y)...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
Highly oscillatory integrals of the form $I(f)=\int_{0}^{\infty} dx f(x) e^{i \omega g(x)}$ arise in...
We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integral...
AbstractThe problem of the numerical evaluation of Cauchy principal value integrals of oscillatory f...
This paper deals with the error analysis of the trapezoidal rule for the computation of Fourier type...
summary:The paper describes a new numerical method for the computation of integrals with the weight ...
International audienceWe introduce a new class of multi-revolution composition methods (MRCM) for th...
redaction 2004/2005An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic fir...
In this paper, an asymptotic expansion is constructed to solve\ud second-order dierential equation s...
AbstractNumerical integration techniques which have been previously thought of as distinct are shown...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
AbstractThis paper presents a new efficient parameter method for integration of the highly oscillato...
AbstractWith existing numerical integration methods and algorithms it is difficult in general to obt...
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cau...
The concern of this paper is in expanding and computing initial-value problems of the form y' = f(y)...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
Highly oscillatory integrals of the form $I(f)=\int_{0}^{\infty} dx f(x) e^{i \omega g(x)}$ arise in...
We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integral...
AbstractThe problem of the numerical evaluation of Cauchy principal value integrals of oscillatory f...
This paper deals with the error analysis of the trapezoidal rule for the computation of Fourier type...
summary:The paper describes a new numerical method for the computation of integrals with the weight ...
International audienceWe introduce a new class of multi-revolution composition methods (MRCM) for th...
redaction 2004/2005An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic fir...
In this paper, an asymptotic expansion is constructed to solve\ud second-order dierential equation s...
AbstractNumerical integration techniques which have been previously thought of as distinct are shown...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
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