Research
Interests
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Theoretical/computational methods for solutions to systems governed by partial differential equations; |
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Optimal control and inverse problems of systems governed by partial differential equations. |
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Optimization methods for variational problems. |
Numerical Methods
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Finite volume based multiscale Numerics and Homogenization: |
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Space-time compact finite volume differencing: |
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Applications
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Environmental Science: Ground water flow and transport |
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Computational Fluid Dynamics: Navier-Stokes Equations; Multi-phase flow |
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Numerical modeling of
Atmospheric and Ocean Dynamics and Circulation: Weather; Climate |
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Mathematical Finance: |
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Macroeconomic modeling: |
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PhD. thesis advisor: Prof . Kazufumi Ito.
Thesis: Higher-Order Cartesian Grid Based Finite Difference Methods for Elliptic Equations on Irregular Domains and Interface Problems