ISSN:
0029-5981
Keywords:
transient
;
time-marching
;
single-step
;
hierarchical
;
p-adaptivity
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
A unified set of MVpq multivalue algorithms for a single-step time-marching scheme is presented for the transient diffusion equation. These MVpq algorithms include the well-known SSij single-step algorithms as a special case. Non-uniform integrators are introduced in which discrete equations in the o.d.e. set each separately use a different order of integrator. Hierarchical variables are used in the time domain, firstly to facilitate non-uniform integrators and secondly to permit variable length timesteps. This paper is the first in a series. In the sequel (Part 2)17 error estimates are introduced and the non-uniform integrator concept is utilized to implement p-adaptivity in time. © 1997 by John Wiley & Sons, Ltd.
Additional Material:
15 Ill.
Type of Medium:
Electronic Resource
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