The 20th century saw tremendous achievements and progress in
science and
technology. Undoubtedly, computers and computer-related
technologies acted as
one of vital catalysts for accelerating this progress in the latter
half of
the century. The contributions of mathematical sciences have been
equally
profound, and the synergy between mathematics and computer science
has played a
key role in accelerating the progress of both fields as well as
science
and engineering.
Mathematical sciences will undoubtedly continue to play this vital
role in this
new century. In particular, mathematical modeling and numerical
simulation will
continue to be among the essential methodologies for solving
massive and
complex problems that arise in science, engineering and
manufacturing. Underpinning this all from a sound, theoretical
perspective will be numerical algorithms. In recognition of this
observation, this volume focuses on the
following specific topics.
(1) Fundamental numerical algorithms
(2) Applications of numerical algorithms
(3) Emerging technologies.
The articles included in this issue by experts on advanced
scientific and
engineering computations from numerous countries elucidate
state-of-the-art achievements in these three topics from various
angles and suggest the future directions. Although we cannot hope
to cover all the aspects in scientific and engineering
computations, we hope that the articles will interest, inform and
inspire members of the science and engineering community.
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