Kazufumi Ito

Mathematics · Physical Sciences

52h-index11.5kcitations356works1.02yr avg
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Research Topics

Numerical methods in inverse problems(70), Stability and Controllability of Differential Equations(69), Advanced Numerical Methods in Computational Mathematics(61), Advanced Mathematical Modeling in Engineering(51), Numerical methods for differential equations(31)

Publications356 total

Anderson-type acceleration method for Deep Neural Network optimization
arXiv (Cornell University)·2025Open Access
Reduced order method based Anderson-type acceleration method for nonlinear least square problems and large scale ill-posed problems
arXiv (Cornell University)·2025Open Access
A Weighted Sampling Method for Inverse Medium Problem with Limited Aperture
arXiv (Cornell University)·2025Open Access
Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data
SIAM Journal on Imaging Sciences·2025· 3 cited
Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data
arXiv (Cornell University)·2025Open Access
Inverse medium problems, saddle point formulation
arXiv (Cornell University)·2024Open Access
Inverse coefficient problems for one-dimensional time-fractional diffusion equations
Applied Mathematics Letters·2024· 4 citedOpen Access
Inverse coefficient problems for one-dimensional time-fractional diffusion equations
arXiv (Cornell University)·2024Open Access
A Direct Probing Method of an Inverse Problem for the Eikonal Equation
SIAM Journal on Scientific Computing·2024· 2 cited
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis
arXiv (Cornell University)·2023Open Access
A direct probing method of an inverse problem for the Eikonal equation
arXiv (Cornell University)·2023Open Access
Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains
Applied Numerical Mathematics·2023· 3 cited
Least-squares method for recovering multiple medium parameters
Inverse Problems·2022· 3 cited
Least-Squares Method for Inverse Medium Problems
arXiv (Cornell University)·2022Open Access
Numerical homogenization of dual-phase steel by nonlinear conjugate gradient method (Recent developments on inverse problems for partial differential equations and their applications)
2021
Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems
Journal of Computational and Applied Mathematics·2021· 7 cited
Least squares formulation for ill-posed inverse problems and applications
Applicable Analysis·2021· 10 cited
A Neural Network-Based Policy Iteration Algorithm with Global $$H^2$$-Superlinear Convergence for Stochastic Games on Domains
Foundations of Computational Mathematics·2020· 25 citedOpen Access
A numerical integration-based Kalman filter for moderately nonlinear systems
Tellus A Dynamic Meteorology and Oceanography·2020Open Access
Value Function Calculus and Applications
Springer proceedings in mathematics & statistics·2020
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Frequent Co-authors

Karl Kunisch(20), Zhilin Li(6), Bangti Jin(4), S. S. Ravindran(3), H. T. Banks(3), H. T. Banks(3), Kaiqi Xiong(2), Jun Zou(2), Franz Kappel(2), G. Peichl(2), Fernando Reitich(2), Mark Jolly(2), Michael Hintermüller(1), Maı̈tine Bergounioux(1), Takeyoshi Shimoji(1), Kuniaki Bando(1), Keiji Nakajima(1), Mihir Chandravadan Desai(1), Ming‐Chih Lai(1), Y. Wang(1)