In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

We present and discuss a variety of mathematical models that have been proposed to
capture the dynamic behavior of epidemic processes. We first present traditional group …

Limited initial supply of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)
vaccine raises the question of how to prioritize available doses. We used a mathematical …

This paper proposes a trajectory optimization approach for high-speed trains to reduce
traction energy consumption and increase riding comfort. Besides, the proposed approach …

This article describes the implementation of real-space refinement in the phenix.
real_space_refine program from the PHENIX suite. The use of a simplified refinement target …

Nonlinear differential equations model diverse phenomena but are notoriously difficult to
solve. While there has been extensive previous work on efficient quantum algorithms for …

Single-cell trajectories can unveil how gene regulation governs cell fate decisions. However,
learning the structure of complex trajectories with multiple branches remains a challenging …

Score distillation sampling (SDS) and its variants have greatly boosted the development of
text-to-3D generation but are vulnerable to geometry collapse and poor textures yet. To …

We propose a method to distill a complex multistep diffusion model into a single-step
conditional GAN student model, dramatically accelerating inference, while preserving image …

Recent advances in the field of electron cryomicroscopy (cryo-EM) have resulted in a rapidly
increasing number of atomic models of biomacromolecules that have been solved using this …