p-ADAPTIVITY IN THE TIME DOMAIN USING MVpq MULTIVALUE TIME-MARCHING INTEGRATORS

✍ Scribed by JOHN S. CAMPBELL; JAMES C. ROBINSON

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 750 KB
• Volume: 40
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19970715)40:13<2343::aid-nme167>3.0.co;2-v

✦ Synopsis

A unified set of MV NO multivalue algorithms for a single-step time-marching scheme is presented for the transient diffusion equation. These MV NO algorithms include the well-known SS GH 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) error estimates are introduced and the non-uniform integrator concept is utilized to implement p-adaptivity in time.