Donald G. Anderson
- 1 NOL, B. The numerical solution of non-linear integral equations. Non-Linear Integral Equations, P. M. Anselone (Ed.), U. of Wisconsin Press, Madison, 1964.Google Scholar
- 2 ANDERSON, D.G. Numerical experiments in kinetic theory. Doctoral Thesis, Harvard U., Cambridge, Mass., June 1963.Google Scholar
- 3 ---. Numerical solutions of the Krook kinetic equation. Tech. Rep. No. 15, Engineering Sciences Lab., Harvard U., Feb. 1965. In preparation.Google Scholar
- 4 -- AND MCOMBER, H.K. Numerical experiments in kinetic theory. Proceedings of he Fourth International Symposium on Rarefied Gas Dynamics, Academic Press, New York, 1965.Google Scholar
- 5 LAczos, C. Tables of Chebyshev Polynomials. NBS Appl. Math. Series No. 9, Government Printing Off., Washington, D. C., 1952.Google Scholar
- 6 OSTROWSKI, A. M. Solution of Equations and Systems of Equations. Academic Press, New York, 1960.Google Scholar
- 7 TRAUB, J. F. Iterative Methods for the Solution of Equations. Prentiee-Hall, Englewood Cliffs, N. J., 1964.Google Scholar
- 8 VARGt, R.S. Matrix Iterative Analysis. Prentiee-tIall, Englewood Cliffs, N. J., 1962.Google Scholar
- 9 ALTMAN, M. A generalization of Newton's method. Bull. Acad. Pol. Sci. 3 (1955), 189.Google Scholar
- 10 WYNN, P. Acceleration techniques for iterated vector and matrix problems. Math. Cornput. 16 (1962), 301.Google Scholar
- 11 Fox, L., AND GOODWIN, E.T. The numerical solution of non-singular integral equations. Phil. Trans. 245A (1953), 501.Google Scholar
- 12 WGSEm, J. H. Accelerating convergence of iterative processes. Comm. ACM 1 (June 1958), 9. Google Scholar
- 13 WOLFE, P. The secant method for simultaneous non-linear equations. Comm. ACM 2 (Dee. 1959), 12. Google Scholar
- 14 JEEVS, T.A. Secant modification of Newton's method. Comm. ACM i (Aug. 1958), 9. Google Scholar
- 15 HENRICI, P. Elements of Numerical Analysis. John Wiley & Sons, New York, 1964.Google Scholar
- 16 WrNN, P. Acceleration techniques in numerical analysis. Information Processing 1962, C. M. Popplewell (Ed.), North ttolland, Amsterdam, (1963).Google Scholar
- 17 General purpose vector epsilon algorithm ALGOL procedures. Numer. Math. 6 (1964), 22.Google Scholar
- 18 HOUSEhOLDeR, A. S. Principles of Numerical Analysis. McGraw-Hill, New York, 1953.Google Scholar
- 19 KHABAZt, I. M. An iterative least-square method for solving large sparse matrices. Comput. J. 6 (1063-64), 202.Google Scholar
- 20 TORNHEIM, L. Convergence of multipoint iterative methods. J. ACM II (1964), 210. Google Scholar
Index Terms
- Iterative Procedures for Nonlinear Integral Equations
Recommendations
An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind
AbstractIn the current paper, an iterative numerical scheme based upon the quasilinearization technique and Nyström method to find the approximate solution of the nonlinear Fredholm integral equations of the second kind is provided. First, ...
Iterative method for numerical solution of two-dimensional nonlinear fuzzy integral equations
In this paper, we prove the convergence of the method of successive approximations used to approximate the solution of two-dimensional nonlinear fuzzy Fredholm integral equations of the second kind. Also, we present an iterative procedure based on ...
Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods
We study the numerical solution procedure for two-dimensional Laplace's equation subjecting to non-linear boundary conditions. Based on the potential theory, the problem can be converted into a nonlinear boundary integral equations. Mechanical ...
Comments