Miscellaneous computational mathematics



Elimination with noninvertible pivots;
    Linear Algebra Appl. 64 1985, 183-189; with R. Nicolaides.

Stability of Gaussian elimination without pivoting on tridiagonal Toeplitz matrices ;
    Linear Algebra Appl. 45 1982, 21-28; with R. Nicolaides.

Predictor and steplength selection in continuation methods for the Navier-Stokes equations;
    Comput. Math. Appl. 22 1991, 73-81; with J. Peterson.

Analysis of a Monte Carlo boundary propagation method;
    Comput. Math. Appl. 31 1996, 61-70; with R. Hiromoto and M. Mundt.
(Alternative pdf link)

Meshfree, probabilistic determination of point sets and support regions for meshless methods;
    Comp. Meth. Appl. Mech. Engrg. 191 2002, 1349-1366; with Q. Du and L. Ju.
(Alternative pdf link)

Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere;
    Comp. Meth. Appl. Mech. Engrg. 192 2003, 3933-3957; with Q. Du and L. Ju.
(Alternative pdf link)

Fully discrete finite element approximations for the forced Fisher equation;
    J. Math. Anal. Appl. 313 2005, 419-440; with L. Hou and W. Zhu.
(Alternative pdf link)

Centroidal Voronoi tessellation algorithms for image compression and segmentation ;
    J. Math. Imag. Vision 
    24 2005, DOI: 10.1007/s10851-005-3620-4; with Q. Du, L. Ju, and X. Wang.
(Alternative pdf link)

Miscellaneous applied mathematics



Frequency modulation at a moving material interface and a conservation law for wave number;
    J. Sound Vibration 48 1976, 169-178; with G. Kleinstein.

On the mathematical conditions for the existence of periodic fluctuations in nonuniform media;
    J. Sound Vibration 48 1976, 345-357; with G. Kleinstein.

Application of the wavenumber jump condition to the normal and oblique interaction of a plane acoustic wave and a plane shock;
    J. Sound Vibration 53 1977, 417-433; with G. Kleinstein.

On the matrix equations AH + HA* = A*H + HA = I;
    Linear Algebra Appl. 17 1977, 277-282; with D. Gottlieb.

Normal modes of orthotropic plates;
    Proc. 12-th International Congress on Acoustics IUPAP, 1986, K3-3; with A. Meir and R. Schumacher.

A two time scale analysis of gyroscopic motion with friction;
    Z. Angew. Math. Phys. 37 1986, 867-894; with H. Simpson.

Vibration of delaminated composite plates and some applications to non-destructive testing;
    Inter. J. Composite Struct. 23 1993, 253-262; with E. Henneke and L. Tenek.


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