Initial value ordinary differential equations arise in formulation of problems in various fields such as physics and Engineering. The present paper shows the method ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Beam is one of the common structures in engineering, with the development of technology, homogeneous beams no longer meet the needs of engineering structural design, for this reason, people have ...

The IMEX schemes apply the implicit temporal method to only a small portion of the domain and use explicit calculations elsewhere, based on a convenient splitting algorithm. IMEX methods effectively ...

Abstract: This manuscript proposes a general parallel directsolver framework to parallelize and accelerate the implicit numerical simulation of wave propagation. To illustrate the concept, 1D implicit ...

Abstract: A stable FDTD subgridding method combining the finite-difference time-domain (FDTD) method and the leapfrog alternately-direction-implicit finite-difference time-domain (ADI-FDTD) method is ...

Integrating human values after model training using Learning-based algorithms requires fine-tuning LLMs, which requires more computational power and is time-consuming. Additionally, it generates ...

Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...

YASK--Yet Another Stencil Kit: a domain-specific language and framework to create high-performance stencil code for implementing finite-difference methods and similar applications.

Research continues to indicate how imperative it is for us to start protecting our memory earlier in life. But when it comes to implicit vs. explicit memory, what’s the difference? Why are they ...