CÆLUM is a hydrodynamic solver for compressible flows, which solves the Euler equations of gas dynamics by means of very high order essentially non-oscillatory finite volume schemes in cartesian ...
A new study by Shanghai Jiao Tong University and SII Generative AI Research Lab (GAIR) shows that training large language models (LLMs) for complex, autonomous tasks does not require massive datasets.
Partial differential equations (PDEs) play a crucial role in scientific computing. Recent advancements in deep learning have led to the development of both data-driven and and Physics-Informed Neural ...
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Understanding the Finite Element Method
The finite element method is a powerful numerical technique that is used in all major engineering industries - in this video we'll explore how it works. We'll look at why it's useful to split the body ...
ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...
A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...
Modeling strong shock waves in fluids remains a persistent challenge in computational physics. Essential to research efforts in industry and defense, numerous methods have been devised to improve the ...
Abstract: In this paper, a novel numerical method called interface finite volume method (I-FVM) for calculation of step-varying Electro-quasistatic (EQS) field is proposed. First, the principle of ...
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