PDECOL, general collocation software for partial differential equations. [In FORTRAN for CDC computers]

Journal Article · Sat Sep 01 04:00:00 EDT 1979 · ACM Trans. Math. Software; (United States)

DOI:https://doi.org/10.1145/355841.355849· OSTI ID:6592710

Madsen, N K ^[1]; Sincovec, R F

---

1. Univ. of California, Livermore

PDECOL, new computer software package for numerically solving coupled systems of nonlinear partial differential equations (PDE's) in one space and one time dimension, is discussed. The package implements finite element collocation methods based on piecewise polynomials for the spatial discretization techniques. The time integration process is then accomplished by widely acceptable procedures that are generalizations of the usual methods for treating time-dependent partial differental equations. PDECOL is unique because of its flexibiility both in the class of problems it addresses and in the variety of methods it provides for use in the solution process. High-order methods (as well as low-order ones) are readily available for use in both the spatial and time discretization procedures. The time integration methods used feature automatic time step size and integration formula order selection so as to solve efficiently the problem at hand and yet achieve a user-specific time integration error level. PDECOL consists of a collection of 19 subroutines written in reasonably standard Fortran, and therefore is quite portable. No special hardware features are required. PDECOL is designed to solve broad classes of difficult systems of partial differential equations that descrobe physical processes. 4 figures, 1 table. (RWR)

• OSTI ID: 6592710
• Journal Information: ACM Trans. Math. Software; (United States), Journal Name: ACM Trans. Math. Software; (United States) Vol. 5:3; ISSN ACMSC
• Country of Publication: United States
• Language: English

Related Subjects

658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ALGORITHMS
CDC COMPUTERS
COMPUTER CODES
COMPUTERS
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE ELEMENT METHOD
FORTRAN
FUNCTIONS
MATHEMATICAL LOGIC
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
P CODES
PARTIAL DIFFERENTIAL EQUATIONS
POLYNOMIALS
PROGRAMMING LANGUAGES