Construction of an Inhomogeneous Model of the Human Torso for Use in Computational Electrocardiography|
R.S. MacLeod, C.R. Johnson, P.R. Ershler. In IEEE Engineering in Medicine and Biology Society 13th Annual International Conference, IEEE Press, pp. 688--689. 1991.
Chebyshev Polynomial Software for Elliptic-Parabolic Systems of P.D.E.s|
M. Berzins, P.M. Dew. In A.C.M. Transactions on Mathematical Software, Vol. 17, No. 2, pp. 178--206. June, 1991.
PDECHEB is a FORTRAN 77 software package that semidiscretizes a wide range of time dependent partial differential equations in one space variable. The software implements a family of spatial discretization formulas, based on piecewise Chebyshev polynomial expansions with C0 continuity. The package has been designed to be used in conjunction with a general integrator for initial value problems to provide a powerful software tool for the solution of parabolic-elliptic PDEs with coupled differential algebraic equations. Examples are provided to illustrate the use of the package with the DASSL d.a.e, integrator of Petzold .
Electrical Activation of the Heart: Computational Studies of the Forward and Inverse Problems in Electrocardiography|
C.R. Johnson, A.E. Pollard. In Computer Assisted Analysis and Modeling, MIT Press, pp. 583--628. 1990.
Developing Software for Time-Dependent Problems Using the Method of Lines and Differential Algebraic Integrators|
M. Berzins, P.M. Dew, R.M. Furzeland. In Applied Numerical Mathematics, Vol. 5, pp. 375--397. 1989.
A C1 Interpolant for Codes Based on Backward Differentiation Formulae|
M. Berzins. In Applied Numerical Mathematics, Vol. 2, pp. 109--118. 1986.
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.