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Abstract: Solving partial differential equations (PDEs) is omnipresent in scientific research and engineering and requires expensive numerical iteration for memory and computation. The primary ...
Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...
In this work, we frame PDE solving as tool invocation via LLM-driven agents and introduce PDE-Agent, the first toolchain-augmented multiagent collaboration framework, inheriting the reasoning capacity ...
Engaging Primary Care in Cancer Survivorship (EPICS) trial: A prospective trial of primary care-led survivorship care versus oncology-led care on receipt of recommended and non-recommended services in ...
1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...
The researchers’ device applies principles of neural networking to an optical framework. As a wave encoded with a PDE passes through the ONE’s series of components, its properties gradually shift and ...
Partial differential equations (PDEs) are workhorses of science and engineering. They describe a vast range of phenomena, from flow around a ship’s hull, to acoustics in a concert hall, to heat ...
A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...
The warehouse model, based on differential equations, has been widely employed in the field of network information propagation for an extended period. Numerous studies have revolved around the ...
I am trying to solve a Korteweg-de Vries equation like such: $$ \frac{\partial u}{\partial t} = (-\sigma u) \partial_x u - d \partial^3_x u+(\Gamma - G) u + \xi * u^3 $$ but for some values, for ...
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