Concepedia

On high precision methods for computing integrals involving Bessel functions

Mathematics of Computation · 1979 · 16 citations · 12 references

Concepts

Numerical AnalysisBessel FunctionsFourier IntegralsEngineeringNumerical ComputationValidated NumericsHigh Precision MethodsFourier AnalysisDefinite IntegralComputational ElectromagneticsFourier ExpansionApproximation TheoryIntegral TransformVasil ’ Eva

Abstract

The technique of Bakhvalov and Vasil’eva for evaluating Fourier integrals is generalized to integrals involving exponential and Bessel functions.

References

12

Lectures in Theoretical Physics

Wesley E. Brittin, B. W. Downs, Joanne Downs et al. · American Journal of Physics · 1962 · 2.9K citations

Theoretical Physics, Fundamental Physic, Physics

A method for numerical integration on an automatic computer

C. W. Clenshaw, A. R. Curtis · Numerische Mathematik · 1960 · 935 citations

Numerical Analysis, Numerical Computation, Engineering +8

High-Energy Collision Theory

Roy J. Glauber · Medical Entomology and Zoology · 1959 · 204 citations

Physics, Natural Sciences, Particle Physics +4

Note on a method for computing infinite integrals of oscillatory functions

I. M. Longman · Mathematical Proceedings of the Cambridge Philosophical Society · 1956 · 113 citations

Numerical Analysis, Get Access Link, Humanities +9

Notes on interpolation. VIII

J. Balázs, P. Túrán · Acta Mathematica Academiae Scientiarum Hungaricae · 1964 · 105 citations

Pade Approximant, Approximation Theory, Geometric Interpolation +1