Abstract: This paper proposes a novel non-iterative method to solve power system differential algebraic equations (DAEs) using the differential transformation, which is a mathematical tool able to ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

The term “skills emergency” has become shorthand for a growing concern: that many graduates leave university without the communication or interpersonal skills that employers expect. In New Zealand, ...

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 ...

A recent study found that people may perceive fewer negative effects of alcohol if they are also using cannabis at the same time. Many young adults drink alcohol and use cannabis together, at the same ...

John Paul, AAA Northeast's Car Doctor, answers a question from a reader curious about using Marvel Mystery Oil. AP Photo/David Zalubowski ...

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 ...

Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...

Abstract: We present in this paper a fully distributed algorithm for simultaneous positioning of cooperative aircraft and distributed tracking of a noncooperative target. We model the probability of ...