Advances in Computational Mathematics, Volume 12

Volume 12, Number 1, January 2000

• Erich Novak:
  High dimensional integration. 1-2
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• Leszek Plaskota:
  The exponent of discrepancy of sparse grids is at least 2.1933. 3-24
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• Fred J. Hickernell, Henryk Wozniakowski:
  Integration and approximation in arbitrary dimensions. 25-58
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• Muni V. Reddy, Stephen Joe:
  An average discrepancy for optimal vertex-modified number-theoretic rules. 59-69
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• Knut Petras:
  On the Smolyak cubature error for analytic functions. 71-93
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Volume 12, Numbers 2-3, February 2000

• Hrushikesh Narhar Mhaskar, Jürgen Prestin:
  On the detection of singularities of a periodic function. 95-131
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• Serena Morigi, Marian Neamtu:
  Some results for a class of generalized polynomials. 133-149
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• Kendall Atkinson, David Da-Kwun Chien:
  A fast matrix-vector multiplication method for solving the radiosity equation. 151-174
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• Michael S. Floater, Tom Lyche:
  Asymptotic convergence of degree-raising. 175-187
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• Qingtang Jiang:
  Parameterization of m-channel orthogonal multifilter banks. 189-211
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• Vladimir N. Temlyakov:
  Weak greedy algorithms. 213-227
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• P. J. van der Houwen, Ben P. Sommeijer:
  Diagonally implicit Runge-Kutta methods for 3D shallow water applications. 229-250
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• Bryan P. Rynne:
  Convergence of Galerkin method solutions of the integral equation for thin wire antennas. 251-259
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• Yongdeok Kim, Sungyun Lee:
  Modified Mini finite element for the Stokes problem in R² or R³. 261-272
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Volume 12, Number 4, March 2000

• Volker Barthelmann, Erich Novak, Klaus Ritter:
  High dimensional polynomial interpolation on sparse grids. 273-288
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• Carl de Boor:
  Computational aspects of multivariate polynomial interpolation: Indexing the coefficients. 289-301
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• Hakop A. Hakopian:
  On a class of Hermite interpolation problems. 303-309
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• Alain Le Méhauté:
  On some aspects of multivariate polynomial interpolation. 311-333
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• H. Michael Möller, Thomas Sauer:
  H-bases for polynomial interpolation and system solving. 335-362
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• Yuan Xu:
  Polynomial interpolation in several variables, cubature formulae, and ideals[*]Supported by the National Science Foundation under Grant DMS-9802265. 363-376
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• Mariano Gasca, Thomas Sauer:
  Polynomial interpolation in several variables. 377-410
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