1997 Industrial Mathematics Initiative Research Reports

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Attn:  IMI Reports 
Department of Mathematics 
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97:01 L.S. Johnson, A. Kaulgud and R.C. Sharpley: A 3D user environment for partial differential equations
97:02 Z. Gao, A. Andreev and R.C. Sharpley: Data compression and elementary encoding of wavelet coefficients
97:03 A.S. Fokas, L.-Y. Sung and D. Tsoubelis: The inverse spectral method for colliding gravitational waves; (Math. Phys. Anal. Geom. 1 (1999), 313-330)
97:04 S.C. Brenner and L.-Y. Sung: Balancing domain decomposition for nonconforming plate elements; (Numer. Math. 83 (1999), 25--52)
97:05 S.C. Brenner: The condition number of the Schur complement in domain decomposition; (Numer. Math. 83 (1999), 187-203)
97:06 A. Cohen, R. DeVore and R. Hochmut: Restricted nonlinear approximation
97:07 A. Cohen, R. DeVore, P. Petrushev and H. Xu: Nonlinear approximation and the space BV(R²)
97:08 K. Oskolkov: Schrödinger equation and oscillatory Hilbert transforms of second degree
97:09 K. Oskolkov: Ridge approximation, Chebyshev-Fourier analysis and optimal quadrature formulas
97:10 V. Temlyakov: The best $m$-term approximation and greedy algorithms
97:11 V. Temlyakov: Greedy algorithms and $m$-term approximation with regard to redundant dictionaries
97:12 V. Temlyakov: Nonlinear Kolmogorov's widths
97:13 V. Temlyakov: Nonlinear $m$-term approximation with regard to the multivariate Haar system
97:14 H. Wang, H.K. Dahle, R.E. Ewing, M.S. Espedal, R.C. Sharpley
and S. Man: An Eulerian-Lagrangian localized adjoint method for advection-dispersion equations in two dimensions and its comparison to other schemes
: Part 1 Part 2
97:15 M. Al-Lawatia, R.C. Sharpley and H. Wang: Second-order characteristic methods for advection-diffusion equations and comparison to other schemes
: Part 1 Part 2 Part 3 Part 4
97:16 H. Wang and B.G. Ersland: A characteristic domain decomposition technique for two-phase flows with interfaces
97:17 H. Wang, M. Al-Lawatia and R.C. Sharpley: A characteristic domain decomposition and space-time local refinement method for first-order linear hyperbolic equations with interfaces
97:18 P.P. Petrushev: Approximation by ridge functions and neural networks

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