An Efficient Algorithm for Solving the Generalized Airfoil Equation. - Haotao Cai (J. Sci. Comput., 2008)

A Fast Fourier-Galerkin Method for Solving Singular Boundary Integral Equations. - Haotao Cai; Yuesheng Xu (SIAM J. Numer. Anal., 2008)

A fast Petrov-Galerkin method for solving the generalized airfoil equation. - Haotao Cai (J. Complex., 2009)

A fast Fourier-collocation method for second boundary integral equations. - Haotao Cai (J. Comput. Appl. Math., 2010)

A fast solver for the Hilbert-type singular integral equations based on the direct Fourier spectral method. - Haotao Cai (J. Comput. Appl. Math., 2013)

A Legendre-Galerkin method for solving general Volterra functional integral equations. - Haotao Cai; Jiafei Qi (Numer. Algorithms, 2016)

A Fractional Order Collocation Method for Second Kind Volterra Integral Equations with Weakly Singular Kernels. - Haotao Cai; Yanping Chen 002 (J. Sci. Comput., 2018)

A Legendre-Petrov-Galerkin method for solving Volterra integro-differential equations with proportional delays. - Haotao Cai; Yanping Chen 002; Yunqing Huang (Int. J. Comput. Math., 2019)

A Fractional Spectral Collocation for Solving Second Kind Nonlinear Volterra Integral Equations with Weakly Singular Kernels. - Haotao Cai (J. Sci. Comput., 2019)

Legendre-Galerkin Methods for Third Kind VIEs and CVIEs. - Haotao Cai (J. Sci. Comput., 2020)

Oscillation-preserving Legendre-Galerkin methods for second kind integral equations with highly oscillatory kernels. - Haotao Cai (Numer. Algorithms, 2022)

An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels. - Haotao Cai (J. Sci. Comput., 2023)

Spectral element algorithm for second kind VIEs with highly oscillatory kernels. - Haotao Cai; Xiaowen Zhang (Comput. Appl. Math., 2025)