Numerical Methods for Systems of Nonlinear Parabolic Equations with Time Delays

Journal of Mathematical Analysis and Applications

Volumn 240, Issue 1, 1999, Pages 249-279

  Pao, C V ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000888453     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6619     Document Type: Article

References (16)

1. Ames W. F. Numerical Methods for Partial Differential Equations. 1992;Academic Press, San Diego.
2. Deng Y., Chen G., Ni W., Zhou J. Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Math. Comp. 65:1996;943-982.
3. Hall C. A., Porsching T. A. Numerical Analysis of Partial Differential Equations. 1990;Prentice Hall, Englewood Cliffs.
4. Householder A. S. The Theory of Matrices in Numerical Analysis. 1964;Ginn (Blaisdell), Boston.
5. Ishihara K. Monotone explicit iterations of the finite element approximation for the nonlinear boundary value problem. Numer. Math. 43:1984;419-437.
6. Leung A. Monotone schemes for semilinear elliptic systems related to ecology. Math. Methods Appl. Sci. 4:1982;272-285.
7. Pao C. V. Nonlinear Parabolic and Elliptic Equations. 1992;Plenum Press, New York.
8. Pao C. V. Dynamics of nonlinear parabolic systems with time delays. J. Math. Anal. Appl. 198:1996;751-779.
9. Pao C. V. Accelerated monotone iterative methods for finite difference equations of reaction-diffusion. Numer. Math. 79:1998;261-281.
10. Pao C. V. Numerical methods for semilinear parabolic equations. SIAM J. Numer. Anal. 24:1987;24-35.
11. Pao C. V. Positive solutions and dynamics of a finite difference reaction-diffusion systems. Numer. Methods Partial Diff. Eqs. 9:1993;285-311.
12. Pao C. V. Numerical analysis of coupled systems of nonlinear parabolic equations. SIAM J. Numer. Anal. 36:1999;394-416.
13. Parter S. V. Mildly nonlinear elliptic partial differential equations and their numerical solution, I. Numer. Math. 7:1975;113-128.
14. Schroder J. Operator Inequalities. 1980;Academic Press, New York.
15. Varga R. S. Matrix Iterative Analysis. 1962;Prentice-Hall, Englewood Cliffs.
16. Wu J. Theory and Applications of Partial Functional Differential Equations. 1996;Springer-Verlag, New York.