SCIENTIFIC COMPUTING AND IMAGING INSTITUTE
at the University of Utah

An internationally recognized leader in visualization, scientific computing, and image analysis

SCI Publications

1988


M. Berzins. “Global Error Estimation in the Method of Lines for Parabolic Equations,” In SIAM Journal on Scientific Computing, Vol. 9, pp. 687--703. 1988.


M. Berzins, R. Brankin, I. Gladwell. “Design of Stiff Integrators in the N.A.G. Library,” In Signum Bulletin, Vol. 23, No. 2, pp. 16--24. April, 1988.

1987


M. Berzins, P.M. Dew. “A Note on C0 Chebyshev Methods for Parabolic Equations,” In I.M.A. Journal of Numerical Analysis, Vol. 7, pp. 15--37. 1987.

1986


M. Berzins. “A C1 Interpolant for Codes Based on Backward Differentiation Formulae,” In Applied Numerical Mathematics, Vol. 2, pp. 109--118. 1986.

ABSTRACT

This note is concerned with the provision of an interpolant for o.d.e. initial value codes based upon backward differentiation formulae (b.d.f.) in which both the solution and its first time derivative are continuous over the range of integration--a C1 interpolant. The construction and implementation of the interpolant is described and the continuity achieved in practice is illustrated by two examples.

1984


M. Berzins, T.F. Buckley, P.M. Dew. “Path Pascal Simulation of Multi-Processor Lattice Architectures for Numerical Computations,” In Progress in the Use of Vector and Array processors, Edited by D.J. Paddon and J.D. Pryce, Academic Press, 1984.

1983


M. Berzins, P.M. Dew, R.M. Furzeland. “Software for time-dependent problems,” In P.D.E. Software: Modules, Interfaces and Systems; Proc. of 1983 IFIPS Conference, North Holland, Edited by B. Engquist and J. Rice, 1983.


P.M. Dew, T.F. Buckley, M. Berzins. “Systolic Architectures for the Iterative Solution of Sparse Matrix Problems,” In Parallel Computing, North Holland, Edited by U. Schendal, 1983.


P.M. Dew, T.F. Buckley, M. Berzins. “Application of VLSI Devices to Computational Problems in the Gas Industry,” Dept. of Computer Studies Technical Report, No. 163, The University of Leeds, 1983.

1981


M. Berzins, P.M. Dew. “A Generalized Chebyshev Method for Non-linear Parabolic Equations in One Space Variable,” In I.M.A. Journal on Numerical Analysis, Vol. 1, pp. 469--487. 1981.

1980


M. Berzins, P.M. Dew. “A note on the extension of the Chebyshev method to quasi-linear parabolic P.D.E.s.,” In International Journal on Computer Mathematics, Vol. 8, pp. 249--263. 1980.