Dr. C. V. Pao

Professor of Mathematics


Published papers in Numerical P.D.E. (April 2010)

  1. C.V.Pao and Xin Lu, Block monotone iterative method for semilinear parabolic equations with nonlinear boundary conditions, SIAM J. Numer. Anal. (to appear).

  2. C.V.Pao and Y.M.Wang , Numerical solutions of a three- competition Lotka-Volterra reaction-diffusion system, Appl. Math. Comput.,(to appear).

  3. C.V.Pao, Numerical methods for qusilinear elliptic equations with nonlinear boundary conditions, SIAM J.Numer. Anal., 45(2007),1081-1106.

  4. C.V.Pao, Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems, Applied Math. Comput.,186(2007),1624-1642.

  5. Zhilin Li, C.V.Pao and Zhonghua Qiao, A finite difference method and analisis for a 2D nonlinear Poisson-Boltzmann equation, J. Scientific Computing, 30(2007), 61-81.

  6. M.Y.Wang and C.V.Pao, Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions, Numer. Math., 103(2006), 485-513.

  7. C.V.Pao, Global attractor of coupled difference equations and applications to Lotka-Volterra systems, Advance in Difference Equations, 1(2005) 57-79.

  8. C.V.Pao and Xin Lu, Block monotone iterations for numerical solutions of fourth-order nonlinear elliptic boundary value problems, SIAM J. Sci. Compu. 25(2003), 164-185.

  9. C.V.Pao Global attractor of a coupled finite difference reaction diffusion system with delays, J. Math. Anal. Appl. 288(2003), 251-273.

  10. C.V.Pao , Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems, Computers Math. Appl. 46(2003), 1535-1544.

  11. C.V.Pao Finite difference reaction-diffusion systems with coupled boundary conditions and time delays, J. Math. Anal. Appl. 272 (2002), 407--434.

  12. C.V.Pao Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems. SIAM J. Numer. Anal. 39(2001), 647--667.

  13. C.V.Pao Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions. J. Comput. Appl. Math. 136(2001), 227--243.

  14. C.V.Pao Finite difference solutions of reaction diffusion equations with continuous time delays. Advances in difference equations, III. Comput. Math. Appl. 42 (2001), 399--412.

  15. C.V.Pao Numerical methods for fourth-order nonlinear elliptic boundary value problems. Numer. Methods Partial Differential Equations 17 (2001), 347--368.

  16. C.V.Pao Numerical methods for nonlinear integro-parabolic equations of Fredholm type. Comput. Math. Appl. 41 (2001),857--877.

  17. J.H.Wang and C.V.Pao Finite difference reaction-diffusion equations with nonlinear diffusion coefficients, Numer. Math. 85 (2000),485--502.

  18. Z.P.Yang and C.V.Pao Positive solutions and dynamics of some reaction diffusion models in HIV transmission, Nonlinear Analysis,TMA, 35(1999), 323-341.

  19. C.V.Pao Numerical methods for systems of nonlinear parabolic equations with time delays, J. Math. Anal. Appl., 240(1999),249-279.

  20. C.V.Pao Numerical analysis of coupled system of nonlinear parabolic equations, SIAM J. Numer. Anal.,36(1999), 393-416.

  21. C.V.Pao Accelerated Monotone Iterative Methods for Finite Difference ations of Reaction-Diffusion, Numer. Math. 79(1998),261-281.

  22. C.V.Pao Dynamics of a finite difference system of reaction diffusion equations with time delay J. Difference Eqs. Applic. 4(1998), 1-11.

  23. C.V.Pao Monotone Iterations for Numerical Solutions of Reaction-Diffusion-Convection Equations with Time Delay, Numer. Metheds Partial Differential Eq. 14(1998), 339-351.

  24. C.V.Pao Monotone methods for a finite difference system of reaction diffusion equations with time delay, Compu. Math. Appl. 36(1998) 37-47.

  25. C.V.Pao Blowing-Up and Asymptotic Behavior of Solutions for a Finite Difference System, J Applicable Analysis 62(1996), 29-38.

  26. C.V.Pao Block Monotone Iterative Methods for Numerical Solutions of Nonlinear elliptic Equations, Numer. Math., 72(1995), 239--262.

  27. C.V.Pao Finite Difference Reaction Diffusion Equations with Nonlinear Boundary Conditions, Numer. Meth. Part. Diff. Eqs., 11(1995), 355-374.

  28. C.V.Pao Positive Solutions and Dynamics of a Finite Difference Reaction Diffusion System, Numer. Meth. Part. Diff. Eqs., 9(1993), 285--311.

  29. C.V.Pao Convergence of Coupled Systems of Nonlinear Finite Difference Elliptic Equations, Diff. Integral Eqs., 3(1990), 381--396.

  30. C.V.Pao Numerical Methods for Coupled Systems of Nonlinear Parabolic Boundary Value Problems, J. Math. Anal. Appl., 151(1990), 581--608.

  31. C.V.Pao Asymptotic Behavior of Solutions for Finite Difference Equations of Reaction Diffusion, J. Math. Anal. Appl., 144(1989), 206--225.

  32. C.V.Pao Numerical Methods for Some Coupled Nonlinear Boundary Value Problems, Diffusion Equations and Applications(ed. by A. R. Astabizadeh, Ed.) Ohio University Press, 1988, 164--169.

  33. C.V.Pao Monotone Methods for Numerical Solutions of Reaction Diffusion Equations, Lecture Notes in Pure and Appl. Math., 109(1987), Dekker, 417--425.

  34. C.V.Pao Numerical Solutions for Some Coupled Systems of Nonlinear Boundary Value Problems, Numer. Math., 51(1987), 381--394.

  35. C.V.Pao Numerical Methods for Semilinear Parabolic Equations, SIAM J. Numer. Anal., 24(1987), 24--35.

  36. C.V.Pao Numerical Methods for the linear Boltsmann Transport Equation in Slab Geometry, J. Numer. Meth. Part. Diff. Eqs., 2(1986), 131--151.

  37. C.V.Pao Monotone Iterative Methods for Finite Difference System of Reaction Diffusion Equations, Numer. Math., 46(1985), 571--586.

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