Machine Learning Methods for Physical Modeling and Simulation

• Takaharu YAGUCHI
• Keyword: Scientific Machine Learning，AI for Science, Physics-Informed Neural Networks, operator learning, structure-preserving numerical methods
• Reference

Euler number and magnitude

• Yasuhiko ASAO
• Keyword: Magnitude Theory, Algebraic Topology, Category Theory
• Reference

Gröbner Basis

• Ryoya FUKASAKU
• Keyword: Computer, Algebra
• Reference

Mathematical analysis of the parabolic PDEs via the harmonic analysis

• Taiki TAKEUCHI
• Keyword: Partial Differential Equations, Functional Analysis, Harmonic Analysis, Navier-Stokes system, Keller-Segel system
• Reference

Discrete Differential Geometry and Integrable Systems

• KAJIWARA, Kenji
• Keyword: Discrete Differential Geometry, Integrable Systems, Painlevé Systems, Discrete and Ultradiscrete Systems
• Reference

Adaptive Network Theory with Organism

• TERO, Atsushi
• Keyword: Mathematical Modeling, Adaptive Network, Multi-Rhythm
• Reference

Analytic number theory and seals

• Karin IKEDA
• Keyword: Number theory, Analytic number theory, Probabilistic number theory
• Reference

Algebraic Analysis: A Crossroad of Mathematics

• OCHIAI, Hiroyuki
• Keyword: Algebraic Analysis, Representation Theory, Special Function
• Reference

Topology and its Practical Applications

• SAEKI, Osamu
• Keyword: Topology, Singularity Theory, Differential Topology, DNA Knots
• Reference

Probability Theory and its Applications

• SHIRAI, Tomoyuki
• Keyword: Probability Theory, Determinantal Point Processes
• Reference