Advances in Computational Mathematics

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Advances in Computational Mathematics

Volume 2, Issue III, 1994

R. Dias da Cunha and T. Hopkins:

A parallel implementation of the restarted GMRES iterative algorithm for nonsymmetric systems of linear equations

P.J. Davies and D.B. Duncan:

Time-marching numerical schemes for the electric field integral equation on a straight thin wire

M. Privost:

Acceleration property for the E-algorithm and an application to the summation of series

X. Li:

Hankel operators and best Hankel approximation on the half-plane

Advances in Computational Mathematics

Volume 2, Issue IV, 1994

J.M. Bull and T.L. Freeman:

Parallel globally adaptive quadrature on the KSR-1

D. Zwick:

A planar minimax algorithm for analysis of co-ordinate measurements

G.A. Watson:

The solution of orthogonal Procrustes problems for a family of orthogonally invariant norms

E.H. Twizell, A. Boutayeb and K. Djidjeli:

Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability

Z. Cheng and C.K. Chui:

Convexity of parametric Bezier surfaces in terms of Gaussian curvature signatures

C. Brezinski and M. Redivo-Zaglia:

A general extrapolation procedure revisited

B. Lenze:

On local and global sigma-pi neural networks. A common link

Advances in Computational Mathematics

Volume 3, Issue I-II, 1995

G. Plonka:

Two-scale symbol and autocorrelation symbol for B-splines with multiple knots

G. Ramaswami:

Perturbed collocation and symplectic RKN methods

V.Y. Pan:

An algebraic approach to approximate evaluation of a polynomial on a set of real points

P. Maroni:

An introduction to second degree forms

G. Walz:

A unified approach to B-spline recursions and knot insertion, with application to new recursion formulas

M. Farhloul and M. Fortin:

A mixed finite element for the Stokes problem using quadrilateral elements

S.N. Chandler-Wilde, J. Levesley and D.M. Hough:

Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain

W. Lawton, S.L. Lee and Z. Shen:

Characterization of compactly supported refinable splines

H. Pottmann:

Curve design with rational Pythagorean-hodograph curves

Advances in Computational Mathematics

Volume 5, Issue I, 1996

I.J. Anderson and S.K. Harbour:

Parallel factorization of banded linear matrices using a systolic array processor

J.H. Bramble, R.E. Ewing, J.E. Pasciak and J. Shen:

The analysis of multigrid algorithms for cell centered finite difference methods

M.L. Varas S.:

Reconstruction of signals from multiscale edges

W. Freeden and U. Windheuser

Spherical wavelet transform and its discretization

C.K. Chui, J. Stoeckler and J.D. Ward:

Analytic wavelets generated by radial functions

Advances in Computational Mathematics

Volume 5, Issue II, 1996

C. Chen and O.L. Mangasarian:

Hybrid misclassification minimization

M. Nees:

Chebyshev approximation by discrete superposition. Application to neural networks

J.L. Noakes:

Networks and closed balls

B. Lenze:

Hyperbolic sigma-pi neural network operators for compactly supported continuous functions

R.A. DeVore and V.N. Temlyakov:

Some remarks on greedy algorithms

Y. Ito

Nonlinearity creates linear independence

S. Watanabe:

Solvable models of layered neural networks based on their differential structure

C.K. Chui, X. Li and H.N. Mhaskar:

Limitations of the approximation capabilities of neural networks with one hidden layer

E.D. Sontag

Critical points for least-squares problems involving certain analytic functions, with applications to sigmoidal nets

L.K. Hansen and J. Larsen

Linear unlearning for cross-validation

Advances in Computational Mathematics

Volume 6, Issue I, 1996

Jane Cullum:

Iterative methods for solving Ax = b, GMRES/FOM versus QMR/BiCG

G. Meinardus, G. Nuernberger and G. Walz:

Bivariate segment approximation and splines

Jose A. Cuminato:

Numerical solution of Cauchy-type integral equations of index

Miljenko Marusic and Mladen Rogina:

A collocation method for singularly perturbed two-point boundary value problems with splines in tension

T. Tommasini:

Complexity reduction of least squares problems involving special Vandermonde matrices

Jörg Peters:

Interpolation regions for convex cubic curve segments

Advances in Computational Mathematics

Volume 7, Issues I-II, 1997

Kevin Burrage:

Parallel methods for ODEs

Pierluigi Amodio and Luigi Brugnano:

Parallel ODE solvers based on block BVMs

Claus Bendtsen:

A parallel stiff ODE solver based on MIRKs

K. Burrage and H. Suhartanto:

Parallel iterated methods based on multistep Runge-Kutta methods of Radau type

K. Burrage and H. Suhartanto:

Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems

J. C. Butcher:

Order and stability of parallel methods for stiff problems

Robert F. Enenkel and Kenneth R. Jackson:

DIMSEMs - diagonally implicit single-eigenvalue methods for the numerical solution of stiff ODEs on parallel computers

Min Hu, Ken Jackson, Jan Janssen and Stefan Vandewalle:

Remarks on the optimal convolution kernel for CSOR waveform relaxation

P. J. van der Houwen and J. J. B. de Swart:

Parallel linear system solvers for Runge-Kutta methods

P. J. van der Houwen and W. A. van der Veen:

Waveform relaxation methods for implicit differential equations

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