Michael D. Tocci

Works (4)

Updated: July 5th, 2023 16:04

1998 journal article

Inexact Newton methods and the method of lines for solving Richards' equation in two space dimensions

COMPUTATIONAL GEOSCIENCES, 2(4), 291–309.

By: M. Tocci*, C. Kelley n , C. Miller  n & C. Kees  n

author keywords: Richards' equation; method of lines; inexact Newton methods
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1998 journal article

Robust solution of Richards' equation for nonuniform porous media

WATER RESOURCES RESEARCH, 34(10), 2599–2610.

By: C. Miller, G. Williams*, C. Kelley n  & M. Tocci n

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1998 journal article

Termination of Newton/Chord iterations and the method of lines

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 19(1), 280–290.

By: C. Kelley n , C. Miller & M. Tocci n

author keywords: termination of nonlinear iterations; Richards' equation; method of lines
TL;DR: This paper shows how an out-of-date Jacobian coupled with moderate ill conditioning can lead to premature termination of the corrector iteration and suggest ways in which this situation can be detected and remedied. (via Semantic Scholar)
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1997 journal article

Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines

ADVANCES IN WATER RESOURCES, 20(1), 1–14.

By: M. Tocci n, C. Kelley n  & C. Miller *

TL;DR: It is shown how a differential algebrain equation implementation of the method of lines can give solutions to RE that are accurate, have good mass balance properties, explicitly control temporal truncation error, and are more economical than standard approaches for a wide range of solution accuracy. (via Semantic Scholar)
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Added: August 6, 2018

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