[23] Jing Gao and Arieh Iserles. A framework for stable spectral methods in d-dimensional unit balls. Submitted. 2023. https://doi.org/10.48550/arXiv.2312.13183
[22] Jing Gao and Arieh Iserles. A recurrence relation for generalised connection coefficients. To appear Journal of Computational Dynamics. 2024. https://arxiv.org/abs/2308.08266
[21] Jing Gao. Cubature methods for the multivariate highly oscillatory integral without derivatives. Journal of Computational Physics. 2024(112789): 1-20.
[20] Jing Gao and Gaoqin Chang. A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square. Journal of Computational and Applied Mathematics. 2024, 439(115599):1-21.
[19] Jing Gao and Arieh Iserles. On an extended Filon method for highly oscillatory integrals over a simplex. Mathematics of Computation. 2023, 92(340): 867-893.
[18] Jing Gao and Yaolin Jiang. On product integration rules for highly oscillatory integrals on a triangle. Journal of Computational and Applied Mathematics. 2023, 421(114875):1-23.
[17] Jing Gao. Numerical analysis of the spectrum for the highly oscillatory integral equation with weak singularity. Journal of Computational and Applied Mathematics, 2022, 403(113820): 1-20.
[16] Jing Gao. Asymptotic expansion of the integral with two oscillations on an infinite interval. Nonlinear Analysis, 2021, 213(112503):1-14.
[15] Jing Gao, Marissa Condon, Arieh Iserles Benjamin Gilvey and Jon Trevelyan. Quadrature methods for highly oscillatory singular integrals, Journal of Computational Mathematics, 2021, 39(2): 227-260.
[14] Jing Gao, Marissa Condon, and Arieh Iserles. Spectral computation of highly oscillatory integral equations in laser theory. Journal of Computational Physics, 2019, 395: 351-381.
[13] Jing Gao and Arieh Iserles. An adaptive Filon algorithm for highly oscillatory integrals. Contemporary Computational Mathematics-A Celebration of the 80th Birthday of Ian Sloan, (J. Dick, F.Y. Kuo and H.Wozniakowski, eds), Springer-Verlag (2018), pp, 407-424. (Invited Paper)
[12] Jing Gao and Arieh Iserles. A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. BIT Numerical Mathematics, 2017, 57(4): 943-961.
[11] Jing Gao and Arieh Iserles. Error analysis of the extended Filon-type method for highly oscillatory integrals. Research in the Mathematical Sciences, 2017, 4:21.
[10] M. Condon, Jing Gao, A. Iserles. Asymptotic solvers for highly oscillatory semi-explicit DAEs. Discrete and Continuous Dynamical Systems-Series A, 2016, 36(9): 4813-4837.
[9] M. Condon, A. Deaño, Jing Gao, A. Iserles. Asymptotic solvers for ordinary differential equations with multiple frequencies. Science of China Mathematics, 2015, 58(11): 2279-2300.
[8] M. Condon, A. Deaño, Jing Gao, A. Iserles. Asymptotic solvers for second order differential equation systems with multiple frequencies. Calcolo,2014, 51: 109-139.
[7] Jing Gao and Huaning Liu. Dirichlet characters, Gauss sums and arithmetic Fourier transforms. Applied Mathematics A Journal of Chinese Unviersities- Series B. 2014, 29(3): 307-316.
[6] Jing Gao. Numerical algorithm for a higher-order oscillatory differential equation. (Chinese) Acta Mathematicae Applicatae Sinica, 2014, 37(4): 586-600.
[5] Jing Gao and Yao-Lin Jiang. Multiwavelet compression method for the boundary integral equation on an open wedge. Engineering Analysis with Boundary Elements, 2011, 35: 298-302.
[4] Jing Gao and Yao-Lin Jiang. Trigonometric Hermite wavelet approximation for the integral equations of second kind with weakly singular kernel. Journal of Computational and Applied Mathematics, 2008, 215:242-259.
[3] Jing Gao and Yao-Lin Jiang. An adaptive trigonometric wavelet method for the logarithmic integral equation of second kind, Proceedings of the 4th International Conference on Impulsive and Hybrid Dynamical Systems, 2007, 5: 1524-1528.
[2] Jing Gao and Yao-Lin Jiang. A periodic wavelet method for the second kind of the logarithmic integral equation. Bulletin of Australian Mathematical Society, 2007, 76: 321-336.
[1] Jing Gao and Yao-Lin Jiang. An adaptive wavelet method for nonlinear differential algebraic equations. Applied Mathematics and Computation, 2007, 189: 208-220.
