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• W3102438146 abstract "In this work, we introduce a class of generalized multistep collocation methods for solving oscillatory Volterra integral equations, and study two kinds of convergence analysis. The error estimate with respect to the stepsize is given based on the interpolation remainder, and the nonclassical convergence analysis with respect to oscillation is developed by investigating the asymptotic property of highly oscillatory integrals. Besides, the linear stability is analyzed with the help of generalized Schur polynomials. Several numerical tests are given to show that the numerical results coincide with our theoretical estimates." @default.
• W3102438146 created "2020-11-23" @default.
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• W3102438146 date "2020-11-10" @default.
• W3102438146 modified "2023-09-27" @default.
• W3102438146 title "Analysis of Generalized Multistep Collocation Solutions for Oscillatory Volterra Integral Equations" @default.
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• W3102438146 doi "https://doi.org/10.3390/math8112004" @default.
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