Numerical Solution of Highly Oscillatory Nonlinear Integrals Using Quasi-Monte Carlo Methods

DOI10.1007/978-81-322-2485-3_27zbMath1337.65006OpenAlexW2409134038MaRDI QIDQ2801922

Nageswara Rao Narni

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_27

zbMATH Keywords

comparison of methodsnumerical exampleserror boundhomotopy perturbation methodhighly oscillatory integralslow discrepancy sequencequasi Monte-Carlo methodsVander Corput sequence

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Irregularities of distribution, discrepancy (11K38) Pseudo-random numbers; Monte Carlo methods (11K45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary integral equations
• A combined Filon/asymptotic quadrature method for highly oscillatory problems
• Two low accuracy methods for stiff systems
• Efficient quadrature for highly oscillatory integrals involving critical points
• Numerical solutions of highly oscillatory integrals
• Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
• Efficient quadrature of highly oscillatory integrals using derivatives
• Diffraction of light revisited

This page was built for publication: Numerical Solution of Highly Oscillatory Nonlinear Integrals Using Quasi-Monte Carlo Methods