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.

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

Take advantage of the MethodImplAttribute class in C# to inline methods and improve the execution speed of your .NET applications. The Just-In-Time (JIT) compiler is a component of the Common Language ...

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 ...

Using tumor growth modeling and informed neural networks as early predictive clinical endpoints. 2007 Continuous dispersion for invasive motility. 2009 Invasive growth with cell density and oxygen.

The internet became a thing just over four decades ago, and has now transformed into an essential service that connects billions of people worldwide. Every major industry, including healthcare, ...

Abstract: When a finite-difference time-domain (FDTD) method is constructed by applying the Crank-Nicolson (CN) scheme to discretize Maxwell's equations, a huge sparse irreducible matrix results, ...

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 ...

Several major retailers in the U.S. use a century-old accounting practice known as “the retail inventory method,” which relies on retail prices to estimate inventory, even though it fails to take full ...

In this paper we use a variational quantum algorithm to solve initial value problems with the implicit Crank-Nicolson and the method of lines (MoL) evolution schemes. The unknown functions use a ...