Numerical approximations for highly oscillatory Bessel transforms and applications

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.08.021 ◽

2015 ◽

Vol 421 (2) ◽

pp. 1635-1650 ◽

Author(s):

Ruyun Chen

Keyword(s):

Numerical Approximations ◽

Highly Oscillatory ◽

Bessel Transforms

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Erratum to "Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications" (IMA Journal of Numerical Analysis (2011)31: 1281-1314)

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drs052 ◽

2013 ◽

Vol 33 (4) ◽

pp. 1480-1483 ◽

Author(s):

S. Xiang ◽

Y. J. Cho ◽

H. Wang ◽

H. Brunner

Keyword(s):

Numerical Analysis ◽

Highly Oscillatory ◽

Bessel Transforms

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Numerical evaluation of highly oscillatory Bessel transforms

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.03.026 ◽

2018 ◽

Vol 342 ◽

pp. 16-24 ◽

Author(s):

Ruyun Chen ◽

Gang Yang

Keyword(s):

Numerical Evaluation ◽

Highly Oscillatory ◽

Bessel Transforms

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Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.03.027 ◽

2018 ◽

Vol 463 (1) ◽

pp. 318-344

Author(s):

Renato Spigler

Keyword(s):

Differential Equations ◽

Phase Function ◽

Function Method ◽

Second Order ◽

Numerical Approximations ◽

Second Order Differential Equations ◽

Phase Function Method ◽

Highly Oscillatory

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Numerical approximations to integrals with a highly oscillatory Bessel kernel

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.01.009 ◽

2012 ◽

Vol 62 (5) ◽

pp. 636-648 ◽

Author(s):

Ruyun Chen

Keyword(s):

Numerical Approximations ◽

Highly Oscillatory ◽

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Numerical approximations of highly oscillatory Hilbert transforms

Computational and Applied Mathematics ◽

10.1007/s40314-020-01193-9 ◽

2020 ◽

Vol 39 (3) ◽

Author(s):

Ruyun Chen ◽

Di Yu ◽

Juan Chen

Keyword(s):

Numerical Approximations ◽

Hilbert Transforms ◽

Highly Oscillatory

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Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq035 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1281-1314 ◽

Author(s):

S. Xiang ◽

Y. Je Cho ◽

H. Wang ◽

H. Brunner

Keyword(s):

Highly Oscillatory ◽

Bessel Transforms

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Numerical Approximations for Nonlinear Stochastic Systems With Delays

10.21236/ada459437 ◽

2004 ◽

Author(s):

Harold J. Kushner

Keyword(s):

Stochastic Systems ◽

Numerical Approximations ◽

Nonlinear Stochastic Systems

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Numerical Approximations to the Stationary Solutions of Stochastic Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/100797886 ◽

2011 ◽

Vol 49 (4) ◽

pp. 1397-1416 ◽

Author(s):

Andrei Yevik ◽

Huaizhong Zhao

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Stationary Solutions ◽

Numerical Approximations

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Numerical approximations to some nonlinear diffusion equation with strong absorption

Proceedings of the Sixth International Colloguium on Differential Equations ◽

10.1515/9783112314050-022 ◽

1996 ◽

pp. 165-172

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Strong Absorption ◽

Numerical Approximations

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A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems

BIT Numerical Mathematics ◽

10.1007/s10543-021-00846-3 ◽

2021 ◽

Author(s):

Bin Wang ◽

Xinyuan Wu

Keyword(s):

Hamiltonian Systems ◽

Oscillatory Hamiltonian Systems ◽

Highly Oscillatory

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