Advances in Computational Mathematics, Volume 1

Volume 1, Number 1, February 1993

• Wolfgang Dahmen, Charles A. Micchelli:
  Continuous refinement equations and subdivision. 1-37
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• P. J. Houwen:
  Preconditioning in implicit initial-value problem methods on parallel computers. 39-60
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• Hrushikesh Narhar Mhaskar:
  Approximation properties of a multilayered feedforward artificial neural network. 61-80
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• Alan R. Champneys, Alastair Spence:
  Hunting for homoclinic orbits in reversible systems: A shooting technique. 81-108
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• Tim N. T. Goodman, S. L. Lee, W. S. Tang:
  Wavelet bases for a set of commuting unitary operators. 109-126
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• Randolph E. Bank, Craig C. Douglas:
  Sparse matrix multiplication package (SMMP). 127-137
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Volume 1, Number 2, June 1993

• Phillip J. Barry, Ronald N. Goldman, Charles A. Micchelli:
  Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices. 139-171
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• Jesús M. Carnicer, Juan Manuel Peña:
  Shape preserving representations and optimality of the Bernstein basis. 173-196
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• Ronald A. DeVore, George Kyriazis, Dany Leviatan, Vladimir M. Tikhomirov:
  Wavelet compression and nonlinear n-widths. 197-214
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• Daniel E. Gonsor:
  Subdivision algorithms with nonnegative masks generally converge. 215-221
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• W. B. Liu, John W. Barrett:
  Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality. 223-239
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• Lothar Reichel:
  Construction of polynomials that are orthogonal with respect to a discrete bilinear form. 241-258
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Volume 1, Number 3, October 1993

• Wolfgang Dahmen, S. Prössdorf, Reinhold Schneider:
  Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution. 259-335
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• K. A. Cliffe, T. J. Garratt, A. Spence:
  Eigenvalues of the discretized Navier-Stokes equation with application to the detection of Hopf bifurcations. 337-356
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• Jack Williams, Z. Kalogiratou:
  Least squares and Chebyshev fitting for parameter estimation in ODEs. 357-366
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• Christopher T. H. Baker, Christopher A. H. Paul:
  Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations. 367-394
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