To date, SMA Fellows have published 366 articles in 289 journals while 51 articles have been accepted for publication in 43 journals. Some articles are listed under more than one category.

Nonlinear Optimization

Journal Publications

1. Chen X. & Sun J., “Global Convergence of a Two-Parameter Family of Conjugate Gradient Methods Without Line Search”, Journal of Computational and Applied Mathematics, Vol. 146, pp. 37-45 (2002).
   
   
2. Han J., Sun J. & Sun W., “Global Convergence of Nonmonotone Descent Methods for Unconstrained Optimization Problems”, Journal of Computational and Applied Mathematics, Vol. 146, pp. 89-98 (2002).

Numerical Simulation on Shock Waves in Bio-MEMS and Biological Systems

Journal Publications

1. Liu T. G., Khoo B. C. & Yeo K. S., “The Simulation of Compressible Multimedium Flow. Part I: A New Methodology with Test Applications to ID Gas-Gas and Gas-Water Cases”, Computers & Fluids, Vol. 30, pp. 291-314 (2001).
   
   
2. Liu T. G., Khoo B. C. & Yeo K. S., “The Simulation of Compressible Multimedium Flow. Part II: Applications to 2D Underwater Shock Refraction”, Computers & Fluids, Vol. 30, pp. 315-337 (2001).
   
   
3. Liu T. G., Khoo B. C., Yeo K. S. & Wang C., “Underwater Shock-Free Surface-Structure Interaction”, International Journal for Numerical Method in Engineering, Vol. 58, pp. 609-630 (2003).
   
   
4. Liu T. G., Khoo B. C. & Yeo K. S., “Ghost Fluid Method for Strong Shock Impacting on Material Interface”, Journal of Computational Physics, Vol. 190, pp. 651-681 (2003).
   
   
5. Hu X. & Khoo B. C., “Kinetic Energy for Low Internal Energy Flows”, Journal of Computational Physics, Vol. 193, pp. 243-259 (2004).
   
   
6. Hu X. & Khoo B. C., “An Interface Interaction Method for Compressible Multifluids”, Journal of Computational Physics, Vol. 198, pp. 35-64 (2004).
   
   
7. Liu T. G., Khoo B. C. & Xie W. F., “Isentropic One-Fluid Modeling of Unsteady Cavitating Flow”, Journal of Computational Physics, Vol. 201, pp. 80-108 (2004).
   
   
8. Liu T. G., Khoo B. C. & Wang C. W., “The Ghost Fluid Method for Compressible Gas-Water Simulation”, Journal of Computational Physics (2005) (accepted).

Semidefinite Programming and Matrix Equations

Journal Publications

1. Sun D. & Sun J., “Semismooth Matrix Valued Functions”, Mathematics of Operations Research, Vol. 27, pp. 150-169 (2002).
   
   
2. Toh K., Zhao G. & Sun J., “A Multiple-Cut Analytic Cutting Plane Method for Semidefinite Feasibility Problems”, SIAM Journal on Optimization, Vol. 12, pp. 1126-1146 (2002).
   
   
3. Sun J., Toh K. & Zhao G., “An Analytic Cutting Plane Method for Semidefinite Feasibility Problems”, Mathematics of Operations Research, Vol. 27, pp. 332-346 (2002).
   
   
4. Sun D. & Sun J. “Strong Semismoothness of Eigenvalues of Symmetric Matrices and Its Application in Inverse Eigenvalue Problems”, SIAM Journal on Numerical Analysis, Vol. 40, pp. 2352-2367 (2003).
   
   
5. Pang J.-S., Sun D. & Sun J., “Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems”, Mathematics of Operations Research, Vol. 28, pp. 39-63 (2003).
   
   
6. Sun J., Sun D. & Qi L., “Quadratic Convergence of a Squared Smoothing Newton Method for Nonsmooth Matrix equations and its Applications in Semidefinite Optimization Problems”, SIAM Journal on Optimization, Vol. 14, pp. 783-806 (2004).
   
   
7. Sun J., “Semidefinite Optimization and Semismooth Newton Methods”, Operations Research Transactions, Vol. 8, pp 41-52 (2004).
   
   
8. Zhou G. & Toh K. C., “Polynomiality of an Inexact Infeasible Interior Point Algorithm for Semidefinite Programme”, Mathematical Programming, Vol. 99, pp, 261-282 (2004).
   
   
9. Sun D. & Sun J., “Nonsmooth Matrix Valued Functions Defined by Singular Values”, Mathematical Programming (accepted).
   
   
10. Sun J., Yang X. & Chen X., “Quadratic Cost Flow and the Conjugate Gradient”, Operations Research (accepted).
    
    
11. Liu X. & Sun J., “Global Convergence Analysis of Line Search Interior Point Methods for Nonlinear Programming without Regularity Assumptions”, Journal of Optimization Theory and Applications (accepted).
    
    
12. Liu X. & Sun J., “A Robust Primal-Dual Interior Point Algorithm for Nonlinear Programs”, SIAM Journal on Optimization (accepted).
    
    
13. Toh K. C., “Solving Large Scale Semidefinite Programs via an Iterative Solver on the Augmented Systems”, SIAM Journal on Optimization (accepted).