Dr. C. V. Pao

Professor of Mathematics


Published papers in Numerical P.D.E. (09/09/07)

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

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

  3. 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.

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

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

  6. 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.

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

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

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

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

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

  12. 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.

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

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

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

  16. 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.

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

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

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

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

  21. 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.

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

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

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

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

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

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

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

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

  30. 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.

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

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

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

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

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

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