以下では、E. Hairer、S. P. Nørsett、G. Wanner らによる名著シリーズ “Solving Ordinary Differential Equations”（日本語訳版: 『常微分方程式の数値解法』）について、詳しく解説します。 本シリーズは、非剛性（Nonstiff）から剛性（Stiff）、さらには微分代数方程式（DAE ...

Abstract: Physics-informed neural networks (PINNs) offer a flexible framework for solving differential equations using physical constraints and data. This study focuses on second-order ...

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The rapid growth of large-scale neuroscience datasets has spurred diverse modeling strategies, ranging from mechanistic models grounded in biophysics, to phenomenological descriptions of neural ...