References

THE STUDY OF THE SOLUTION FOR THE VOLTERRA INTEGRAL EQUATION


[1] K. Atkinson and W. Han, Theoretical Numerical Analysis, Springer, Berlin, 2005.

[2] A. Bellen, Preservation of super convergence in the numerical integration of delay differential equations with proportional delay, IMA Journal of Numerical Analysis 22(4) (2002), 529-536.

[3] A. Bellen, H. Brunner, S. Maset et al., Super convergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays, IMA Journal of Numerical Analysis 46(2) (2006), 229-247.

[4] A. Bellen and M. Zennaro, Numerical Methods for Delay Differential Equations, Oxford University Press, 2013.

[5] H. Brunner, Collocation Methods for Volterra Integral and Related Functional Differential Equations, Cambridge University Press, 2004.

[6] H. Brunner, Recent advances in the numerical analysis of Volterra functional differential equations with variable delays, Journal of Computational and Applied Mathematics 228(2) (2009), 524-537.

[7] H. Brunner and Q. Hu, Optimal super convergence orders of iterated collocation solutions for Volterra integral equations with vanishing delays, SIAM Journal on Numerical Analysis 43(5) (2005), 1934-1949.

[8] H. Brunner and Q. Hu, Optimal super convergence results for delay integro-differential equations of pantograph type, SIAM Journal on Numerical Analysis 45(3) (2007), 986-1004.

[9] J. B. Conway, A Course in Functional Analysis, Springer, 1990.

[10] P. L. Floch and L. Tatsien, A global asymptotic expansion for the solution to the generalized Riemann problem, Asymptotic Analysis 3(4) (1991), 321-340.

[11] X. Daoxing, W. Zhuoren and Y. Shaozhong, Real Variable Function and Functional Analysis, People’s Education Press, 1979.

[12] S. Yidan, Integral Equation, The Press of Beijing Institute of Technology, Beijing, 1992.