"key_insight": "When a large language model under reinforcement learning commits a wrong reasoning step early in a trajectory, standard algorithms force it to keep generating until the maximum horizon ...
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This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The ...
The study of the geometric organization of biological tissues has a rich history in the literature. However, the geometry and architecture of individual cells within tissues has traditionally relied ...
1 Department of Mathematics, Umm Al-Qura University, Mecca, Saudi Arabia. 2 Department of Mathematics, University College in Qunfudah, Umm Al-Qura University, Mecca, Saudi Arabia. Allen-Cahn equation ...
practicals: codes and problems presented and discussed in the ATP practical sessions (see practicals/README.md) 1. Advection-diffusion-reaction equation in 1D with the Finite Difference (FD) method ...
Scientific computing increasingly requires both accurate simulations of physical systems as well as optimizing them over many parameters for tasks such as inverse ...