Jacobi interpolation approximations and their applications to singular differential equations
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[1] M. Chawla,et al. Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals , 1974 .
[2] John P. Boyd. Polynomial series versus sinc expansions for functions with corner or endpoint singularities , 1986 .
[3] Ben-yu Guo. Gegenbauer Approximation in Certain Hilbert Spaces and Its Applications to Singular Differential Equations , 1999, SIAM J. Numer. Anal..
[4] Yvon Maday,et al. Polynomial interpolation results in Sobolev spaces , 1992 .
[5] Zur Theorie der Nherungsverfahren fr singulre Integralgleichungen auf Intervallen , 1981 .
[6] J. Boyd. The asymptotic Chebyshev coefficients for functions with logarithmic endpoint singularities: mappings and singular basis functions , 1989 .
[7] Dr. M. G. Worster. Methods of Mathematical Physics , 1947, Nature.
[8] P. Chambré. On the Solution of the Poisson‐Boltzmann Equation with Application to the Theory of Thermal Explosions , 1952 .
[9] F. Stenger. Numerical Methods Based on Whittaker Cardinal, or Sinc Functions , 1981 .
[10] Guo Ben-Yu,et al. Gegenbauer Approximation and Its Applications to Differential Equations on the Whole Line , 1998 .
[11] D. Elliott. A Galerkin-Petrov method for singular integral equations , 1983, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.
[12] Finite Element Methods of High-Order Accuracy for Singular Two-Point Boundary Value Problems with Nonsmooth Solutions , 1980 .
[13] I. M. Longman. On the numerical evaluation of Cauchy principal values of integrals. , 1958 .
[14] J. Szabados,et al. A survey on mean convergence of interpolatory processes , 1992 .
[15] T. A. Zang,et al. Spectral methods for fluid dynamics , 1987 .
[16] Steen Krenk,et al. On quadrature formulas for singular integral equations of the first and the second kind , 1975 .
[17] Ben-Yu Guo,et al. Jacobi Approximations in Certain Hilbert Spaces and Their Applications to Singular Differential Equations , 2000 .
[18] Ernst P. Stephan,et al. On the Convergence of the p-Version of the Boundary Element Galerkin Method. , 1989 .
[19] R. Courant,et al. Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .
[20] R. Askey. Orthogonal Polynomials and Special Functions , 1975 .
[21] B. Guo,et al. Spectral Methods and Their Applications , 1998 .
[22] Thanh Tran,et al. Additive schwarz methods for the H-version boundary element method , 1996 .
[23] Kenneth Eriksson,et al. Galerkin Methods for Singular Boundary Value Problems in One Space Dimension , 1984 .
[24] Thanh Tran,et al. Additive Schwarz algorithms for the p version of the Galerkin boundary element method , 2000, Numerische Mathematik.
[25] L. Karpenko. Approximate solution of a singular integral equation by means of jacobi polynomials , 1967 .
[26] D. Gottlieb,et al. Numerical analysis of spectral methods , 1977 .