Research Fields

Numerical Analysis, Scientific Computation, Inverse Problems

Inverse and ill-posed problems are related to non-destructive test, noninvasive test, and imaging sciences. Since they are usuall unstable, we need to develop accurate and reliable numerical methods including multiple-precision arithmetic. To analyze phenomena and our algorithm, corresponding forward problems are also studied.

As a specific issue, I deal with tomography (e.g. X-ray CT, with partial data). I am also working on optical tomography, specifically conducting huge scale parallel computations for the stationary radiative transport equation.

Example: NIR propagation in brain for optical tomography

(joint work with Prof. Oishi)

Around Canmpus Map

Bldg.12 in Campus Map (indicated #54)

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Related Pages

exflib -- a multiple-precision arithemtic library

long double
machine epsilon
Condition numbers of the Hilbert matrix    40 digits
MPI
FreeFEM