2011 - 2015 Mathematical theory of the finite volume methods
2011 - ハミルトン偏微分方程式に対する新しいエネルギー保存数値解法と離散解析力学の構築
2007 - 2009 Development of a nonreflecting boundary condition based on the Riemann invariant manifold
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Papers (73):
Port-Hamiltonian Neural Networks for Learning Coupled Systems and Their Interactions. NeurIPS 2024 Workshop on Machine Learning and the Physical Sciences. 2024
Learning Difference and Summation Operators for Discretization of Nonlocal Hamiltonian Partial Differential Equations Using Neural Networks. Proc. of 2024 International Symposium on Nonlinear Theory and Its Applications (NOLTA2024). 2024
Application of the Kernel Method to Learning Symplectic Forms. Proc. of 2024 International Symposium on Nonlinear Theory and Its Applications (NOLTA2024). 2024
A New Approach to Designing Robust Hamiltonian Neural Networks by Regularisation. Proc. of 2024 International Symposium on Nonlinear Theory and Its Applications (NOLTA2024). 2024
Hyperbolic-PDE-Based Neural Network Architecture. Proc. of 2024 International Symposium on Nonlinear Theory and Its Applications (NOLTA2024). 2024
2011/07 - SciCADE 2011 (the International Conference on Scientific Computation And Differential Equations 2011) SciCADE 2011 New Talent Award A Lagrangian Approach to Deriving Energy-Preserving Numerical Schemes for the Euler-Lagrange Partial Differential Equations and Its Applications
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Association Membership(s) (8):
Institute of Electrical and Electronics Engineers
, 情報処理学会
, Society for Industrial and Applied Mathematics
, American Institute of Aeronautics and Astronautics
, 日本流体力学会
, Mathematical Association of America
, 日本数学会
, 日本応用数理学会