My
research ranges from pure theoretical analysis,
basic algorithmic development to practical applications. I use
mathematical analysis mainly for the purpose of developing algorithms
to solve problems in science and engineering. Sometimes, though, I do
it just because it is fun. Theoretical elegance and practical
usefulness can go together, and the design of algorithms can be
beautiful. Theory is the soul of what I do, and practical needs are
what motivate me. One thing that I very much enjoy doing these
days is to help people to speed up their simulation codes from a few
times to a few orders of magnigudes (for very large scale
problems). In all my work, I try to strike a balance between
rigor versus practicality.
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