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This volume contains the proceedings of the NATO Advanced Research
Workshop on "Asymptotic-induced Numerical Methods for Partial
Differ ential Equations, Critical Parameters, and Domain
Decomposition," held at Beaune (France), May 25-28, 1992. The
purpose of the workshop was to stimulate the integration of asymp
totic analysis, domain decomposition methods, and symbolic
manipulation tools for the numerical solution of partial
differential equations (PDEs) with critical parameters. A workshop
on the same topic was held at Argonne Na tional Laboratory in
February 1990. (The proceedings were published under the title
Asymptotic Analysis and the Numerical Solu.tion of Partial Differ
ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture
Notes in Pure and Applied Mathematics. Vol. 130, .Marcel Dekker,
Inc., New York, 1991.) In a sense, the present proceedings
represent a progress report on the topic area. Comparing the two
sets of proceedings, we see an increase in the quantity as well as
the quality of the contributions. 110re research is being done in
the topic area, and the interest covers serious, nontrivial
problems. We are pleased with this outcome and expect to see even
more advances in the next few years as the field progresses."
This volume contains the proceedings of the NATO Advanced Research
Workshop on "Asymptotic-induced Numerical Methods for Partial
Differ ential Equations, Critical Parameters, and Domain
Decomposition," held at Beaune (France), May 25-28, 1992. The
purpose of the workshop was to stimulate the integration of asymp
totic analysis, domain decomposition methods, and symbolic
manipulation tools for the numerical solution of partial
differential equations (PDEs) with critical parameters. A workshop
on the same topic was held at Argonne Na tional Laboratory in
February 1990. (The proceedings were published under the title
Asymptotic Analysis and the Numerical Solu.tion of Partial Differ
ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture
Notes in Pure and Applied Mathematics. Vol. 130, .Marcel Dekker,
Inc., New York, 1991.) In a sense, the present proceedings
represent a progress report on the topic area. Comparing the two
sets of proceedings, we see an increase in the quantity as well as
the quality of the contributions. 110re research is being done in
the topic area, and the interest covers serious, nontrivial
problems. We are pleased with this outcome and expect to see even
more advances in the next few years as the field progresses."
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