

JennChing Luo, Ph.D.
Luo completed his Ph.D. at Columbia University in two years. He majors in parallel computing, solid and structural mechanics, computational mathematics, and finite element method. Luo may be contacted by email at
Luo@Equation.com
PUBLICATIONS IN JOURNALS IN 1989~1993

J.C. Luo and M. B. Friedman, "Parallel Algorithms for the Finite Element Method," Mechanics Research Communications, Vol. 16(1), pp. 318, 1989.

J.C. Luo and M. B. Friedman, "Implicit Decomposition as a Tool for Solving LargeScale Structural Systems in a Parallel Environment," Computers and Structures, Vol. 35, No. 3, pp. 215220, 1990.

J.C. Luo and M. B. Friedman, "A Parallel Computational Model for the Finite Element Method on a MemorySharing Multiprocessor Computer," Computer Methods in Applied Mechanics and Engineering, 84, pp. 193209, 1990.

J.C. Luo and M. B. Friedman, "A Study on Decomposition Methods," Computers & Mathematics with Applications, Vol. 21, No. 8, pp. 7984, 1991.

J.C. Luo, "Solving Eigenvalue Problems by Implicit Decomposition," Numerical Methods for Partial Differential Equations, Vol. 7, No. 2, pp. 113145, 1991.

J.C. Luo and M. B. Friedman, "Analysis of Mode Shapes Using Implicit Decomposition," Computers and Structures, Vol. 41, No. 1, pp. 3540, 1991.

J.C. Luo, "Fictitious Array Techniques for Storing and Accessing a Symmetric Matrix," Computers and Structures, Vol. 41, No. 4, pp. 843852, 1991.

J.C. Luo and M. B. Friedman, "A Formulation of the Finite Element Methods by Implicit Decomposition," Finite Elements in Analysis and Design, Vol. 10, pp. 137150, 1991.

J.C. Luo, "A Study on Basis Conjugate Matrices," Applied Mathematics Letters, Vol. 5, No. 2, pp. 710, 1992.

J.C. Luo, "A Note on Parallel Processing," Applied Mathematics Letters, Vol. 5, No. 2, pp. 7578, 1992.

J.C. Luo, "A New Subspace Iteration For Extracting Dominant Eigenpairs," in the proceedings of the Copper Mountain Conference on Iterative Methods, University of Colorado at Denver, 1992.

J.C. Luo, "A New Class of Decomposition For Symmetric Systems," Mechanics Research Communications, Vol. 19, No. 3, pp. 159166, 1992.

J.C. Luo, "Computation of The Least Eigenvalue On a MemorySharing Multiprocessor Computer," pp. 754761, in the Proceedings of the 8th ASCE Conference on Computing in Civil Engineering (eds. B. J. Goodno), ASCE, 1992.

J.C. Luo, "A Formulation of the Finite Element Methods by Domain Decomposition," Computers and Structures, Vol. 43, No. 4, pp. 751760, 1992.

J.C. Luo, "Analysis of RoundOff Errors," Applied Mathematics Letters, Vol. 5, No. 4, pp. 7780, 1992.

J.C. Luo, "Algorithms for Reducing the Bandwidth and Profile of a Sparse Matrix," Computers and Structures, Vol. 44, No. 3, pp. 535548, 1992.

J.C. Luo, "A Proof In Favor of BlockBased Procedure," Applied Mathematics Letters, Vol. 5, No. 5, pp. 7578, 1992.

J.C. Luo, "Chapter 24: A Domain Decomposition Method For Eigenvalue Problems," Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (eds. D. E. Keyes etc.), pp. 306321, SIAM, Philadelphia, 1992.

J.C. Luo, "An Incomplete Inverse as a Preconditioner For The Conjugate Gradient Method," Computers & Mathematics with Applications, Vol. 25, No. 2, pp. 7379, 1993.

J.C. Luo, "Analysis of Vibration Mode Shapes on a MemorySharing Multiprocessor," Computers and Structures, Vol. 45, No. 3, pp. 481494, 1992.

J.C. Luo, "A New Class of Decomposition for Inverting Asymmetric and Indefinite Matrices," Computers & Mathematics with Applications, Vol. 25, No. 4, pp. 95104, 1993.

J.C. Luo, "A Sparsity For Decomposing A Symmetric Matrix," Computers & Mathematics with Applications, Vol. 25, No. 5, pp. 8390, 1993.

J.C. Luo, "Extended Concept of StairShape Sparsity For The Inverse of An Asymmetric Matrix," Computers & Mathematics with Applications, Vol. 25, No. 5, pp. 113122, 1993.

J.C. Luo, "An Optimum Partition For Inverting a Nonsingular Matrix," Applied Numerical Mathematics, Vol. 6, No. 5, pp. 7984, 1993.

J.C. Luo, "Parallel Algorithms for the Solution of a Sparse System," Computing in Engineering, Vol. 4, Nos. 46, pp. 505511, 1993.
PRESENTATIONS IN 1989~1993

J.C. Luo and Friedman M. B., "A Domain Decomposition Method Using Successive Projection Approximations," at SIAM conference on Domain Decomposition, March 2022, 1989, J. W. Marriott Hotel, Houston, Texas.

J.C. Luo and Friedman M. B., "A Computational Strategy for the Finite Element Method on a MemorySharing Machine," at 1989 SIAM Annual Meeting, July 1721, 1989, Sheraton Harbor Island East, San Diego, California.

M. B. Friedman and J.C. Luo, "Parallel Algorithms for the Finite Element Method," at Technical Computing Interest Series, Feb. 21, 1990, IBM, 590 Madison Avenue, 25th Floor, New York, New York.

J.C. Luo, "Computing Eigenvalues/Eigenfunctions by Using Implicit Decomposition Method," at 1990 SIAM Annual Meeting, July 1620, 1990, Hyatt Regency Hotel, Chicago, Illinois.

J.C. Luo and M. B. Friedman, "Parallel Implementation of Finite Element Methods on a 1024Processor Hypercube", at Fifth SIAM Conference on Parallel Processing for Scientific Computing, March 2527, 1991, The Westin Galleria Hotel, Houston, Texas.

J.C. Luo, "A Domain Decomposition Method for Eigenvalue Problems", at Fifth SIAM Conference on Domain Decomposition Methods for Partial Differential Equations, May 68, 1991, Omni Hotel, Norfolk, VA.

J.C. Luo and M. B. Friedman, "A Parallel Algorithm for Solving Eigenvalue Problems", at Second International Conference on Industrial and Applied Mathematics, July 812, 1991, Sheraton Washington Hotel, Washington, D.C.

J.C. Luo, "A New Subspace Iteration for Extracting Dominant Eigenpairs," Copper Mountain Conference on Iteration Methods, April 914, 1992, Copper Mountain, Colorado.

J.C. Luo, "Computation of The Least Eigenvalue On a MemorySharing Multiprocessor Computer," ASCE Eighth Conference on Computing in Civil Engineering, 1012 June, 1992, Dallas, TX.

J.C. Luo, "A Study on Increasing Accuracy of a New Decomposition Technique," SIAM 40th Anniversary Meeting, Century Plaza Hotel, Los Angeles, California, July 2024, 1992.

J.C. Luo, "Parallel Algorithms For The Solution of a Sparse System," Second Symposium on Parallel Computational Methods For LargeScale Structural Analysis and Design, Feb 2425, 1993, Marriott Hotel, Norfolk, VA.
