Scientists are rethinking the universe’s deepest mysteries using numerical relativity, complex computer simulations of Einstein’s equations in extreme conditions. This method could help explore what ...

We're often told it is "unscientific" or "meaningless" to ask what happened before the Big Bang. But a new paper by FQxI cosmologist Eugene Lim, of King's College London, UK, and astrophysicists Katy ...

Accurate prediction of radiative heating during rocket descent poses a fundamental challenge for reusable launch vehicle design. Traditional methods struggle to balance computational cost with ...

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

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 ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

To improve the reliability and accuracy of dynamic machine in design process, high precision and efficiency of numerical computation is essential means to identify dynamic characteristics of ...

Abstract: This article presents a new approach to solving the time-domain electric field integral equation (TD-EFIE). The proposed method develops the notion of problem-independent numerical inversion ...

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 ...

Abstract: Fault location plays a pivotal role in expediting the restoration of systems after faults. However, the necessity for rapid fault isolation in multi-terminal direct current (MTDC) systems ...