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Rheinboldt, Werner
University of Pittsburgh
Pittsburgh, Pennsylvania
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- 10 of 22 reviews

   
  Weighted error estimates for finite element solutions of variational inequalities
Blum H., Suttmeier F. Computing 65(2): 119-134, 2000.  Type: Article

This paper concerns nonlinear problems described by a variational inequality of the form A ( U , &jgr; - U ) ≥ F ( &jgr; - U ), ∀ &jgr; ∈ K ⊂ V, where...

Feb 1 2001  
  Global superconvergence of simplified hybrid combinations for elliptic equations with singularities, I. Basic theorem
Li Z. Computing 65(1): 27-44, 2000.  Type: Article

For the Poisson equation - δ u = f ( x , y ) on an L-shaped region in the plane with zero boundary conditions, the author establishes superconvergence rates of the solution gradients on t...

Jul 1 2000  
  Finite element methods for eigenvalue problems on a rectangle with (semi-) periodic boundary conditions on a pair of adjacent sides
De Schepper H. Computing 64(3): 191-206, 2000.  Type: Article

The author considers elliptic eigenvalue problems of the form on a rectangular domain ω ⊂ R2 with periodic or semi-periodic bounda...

Apr 1 2000  
  Top-down induction of first-order logical decision trees
Blockeel H., de Raedt L. Artificial Intelligence 101(1-2): 285-297, 1998.  Type: Article

The authors introduce a logical representation for relational decision trees and show how to use negation to translate first-order logical decision trees into logic programs that contain invented predicates and both universal and exist...

Oct 1 1998  
  On computing derivatives for C1 interpolating schemes
De Marchi S. Computing 60(1): 29-53, 1998.  Type: Article

Two well-known methods for fitting scattered data by piecewise interpolating polynomials are the cubic Clough-Tocher and the quadratic Powell-Sabin schemes. However, these and similar approaches require the availability of the first pa...

Sep 1 1998  
  Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method
Axelsson O., Nikolova M. Computing 58(1): 1-30, 1997.  Type: Article

The authors consider singularly perturbed convection-diffusion problems of the form - &egr;δu + v∇u + cu = f, x ∈ &OHgr; ⊂ Rd, subject to bou...

Aug 1 1998  
  Subresultants under composition
Hong H. Journal of Symbolic Computation 23(4): 355-365, 1997.  Type: Article

Let A and B denote polynomials of degrees m and n in a variable x over an integral domain D. As usual, if M = M<...

Apr 1 1998  
  Balanced a posteriori error estimates for finite-volume type discretizations of convection-dominated elliptic problems
Angermann L. Computing 55(4): 305-323, 1995.  Type: Article

Convection-dominated diffusion problems are considered here, as in the model example - &egr; δ u + b &bnabla; u + c u = 0, u = 0 o n ∂ &OHgr;, disc...

Oct 1 1996  
  On generalized Newton algorithms
Malajovich G. Theoretical Computer Science 133(1): 65-84, 1994.  Type: Article

Shub and Smale [1] used theorems on the quadratic convergence of Newton’s method to develop a theory of global complexity for the solution of systems of polynomial equations f k ( z ) = 0 , k = 1 ,..., n ,...

Jun 1 1995  
  Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems
Plum M. Computing 49(1): 25-44, 1992.  Type: Article

Plum considers scalar elliptic boundary value problems of the form - &Dgr; U ( x ) + F ( x , U ( x ) , U x ( x ) ) = 0, X ∈ &OHgr;, B[U
Aug 1 1993  
 
 
 
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