Quantum computer research is advancing at a rapid pace. Today's devices, however, still have significant limitations: For example, the length of a quantum computation is severely limited—that is, the ...

Abstract: Achieving coordinated and time-ordered convergence among state components is crucial for many Euler-Lagrange systems, such as robotic manipulators and multi-joint mechanical platforms, where ...

Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they ...

Hermite polynomials and functions are widely used for scientific and engineering problems. Although it is known that using the scaled Hermite function instead of the standard one can significantly ...

ABSTRACT: In this paper, we investigate a meshless approximation, the interpolating element-free Galerkin method, for an optimal control problem governed by fourth-order parabolic partial differential ...

We publish the best academic work (that's too often lost to peer reviews & the TA's desk) to the global tech community We publish the best academic work (that's too often lost to peer reviews & the TA ...

Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. The narrow channel reservoir is a typical offshore reservoir in ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...