Ming-Jun Lai's Papers on Numerical PDE's[17] G. Awanou and M. J. Lai, Trivariate Spline Approximations of 3D Navier-Stokes Equations , accepted for publication in Mathematics of Computation, 2004.[16] M.J.Lai and P. Wenston, Bivariate Splines for Fluid Flows, Computers and Fluids 33(2004), pp. 1047--1073. [15] M. J. Lai, Chun Liu, and Paul Wenston, On two nonlinear biharmonic evolution equations, accepted for publication in Applicable Analysis, 2003. [14] M. J. Lai, Chun Liu, and Paul Wenston, Numerical simulation of two nonlinear biharmonic equations, accepted for publication in Applicable Analysis, 2003. [13] M. J. Lai, Chun Liu, and Paul Wenston, Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation, Numerical Methods for P. D. E., 2003 pp. 776--827. [12] Bivariate splines for exterior biharmonic equations (with P. Wenston and L. A. Ying), in Approximation Theory X: Wavelets, Splines and Applications, edited by C. K. Chui, L. L. Schumaker, J. Stoeckler, Vanderbilt Univ. Press, 2002, pp. 385--404. [11] The multivariate spline method for numerical solution of partial differential equations and scattered data interpolation (with G. Awanou and P. Wenston) , 2002. [10] Trivariate $C^1$ cubic splines for numerical solution of biharmonic equations (with Paul Wenston), in: {\sl Trends in Approximation Theory}, K. Kopotun, T. Lyche, and M. Neamtu (eds.), Vanderbilt University Press, Nashville, 2001, pp. 224--234. [9] Bivariate spline method for numerical solution of steady state Navier-Stokes equations over polygons in stream function formulation , (with Paul Wenston), in Advances in Computational Mathematics}, edited by Z. Chen, Y. Li, C. Micchelli, and Y. Xu, Marcel Dekker, New York, 1998, pp. 245--277. [8] Bivariate Spline Method for Navier-Stokes Equations: Domain Decomposition Technique (with Paul Wenston), in Approximation Theory IX: Computational Aspects Charles K. Chui and Larry L. Schumaker (eds.) Vanderbilt University Press (Nashville), 1998, pp. 153--160. [7] Two Nonlinear Biharmonic Evolution Equations Arising from the Study of Liquid Crystals, , (with Chun Liu and Paul Wenston), submitted. [6] Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation, (with Chun Liu and Paul Wenston), appear in Numer. Methods for PDE's, 2003. [5] Bivariate spline method for numerical solution of the steady state Navier-Stokes equations over polygons in stream function formulation, (with Paul Wenston), Numer. Methods for PDE's, 16(2000), 147--183. [4] Report on Numerical Experiments with Bivariate C^1 Cubic Splines for Numerical Solutions of Partial Differential Equations, (with Paul Wenston). [3] Numerical approximation of diffusion equations over polygons using bivariate C^1 cubic splines, (with Paul Wenston). [2] On Schwarz' domain decomposition methods for elliptic boundary value problems, (with Paul Wenston), Numer. Math. 84(2000), pp. 475-495. [1] On multilevel bases for elliptic boundary value problems, (with Paul Wenston), Journal of Computational and Applied Mathematics, (71)1996, pp. 95--113. |