基本信息
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Bio
Professor Tai's research fields mainly include numerical methods for partial differential equations (PDEs), inverse problems, optimization, computer vision, image processing and data science.
Professor Tai and his collaborators have made great contributions to computational mathematics, especially in the fields of numerical analysis and image processing. He is one of the inventors of AOS (additive operator splitting) algorithm, which has become a very popular algorithm in image processing using partial differential equations because of its efficiency and stability. He has also contributed several innovative algorithms in numerical analysis and research. His "obstacle problem algorithm" is "the first algorithm that has been proved to have the convergence speed of multigrid". He has also co-invented several new finite element methods for some singular perturbed PDEs which has been applied in practical engineering simulations.
Professor Tai and his collaborators have made great contributions to computational mathematics, especially in the fields of numerical analysis and image processing. He is one of the inventors of AOS (additive operator splitting) algorithm, which has become a very popular algorithm in image processing using partial differential equations because of its efficiency and stability. He has also contributed several innovative algorithms in numerical analysis and research. His "obstacle problem algorithm" is "the first algorithm that has been proved to have the convergence speed of multigrid". He has also co-invented several new finite element methods for some singular perturbed PDEs which has been applied in practical engineering simulations.
Research Interests
Papers共 310 篇Author StatisticsCo-AuthorSimilar Experts
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Journal of Scientific Computingno. 2 (2024): 1-31
arxiv(2024)
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Journal of Scientific Computingno. 2 (2024): 1-30
SIAM JOURNAL ON IMAGING SCIENCESno. 1 (2024): 540-594
SIAM JOURNAL ON IMAGING SCIENCESno. 1 (2024): 1-30
INVERSE PROBLEMS AND IMAGINGno. 0 (2024): 0-0
CoRR (2024)
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MULTISCALE MODELING & SIMULATIONno. 4 (2023): 1667-1689
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