Abstract: Partial differential algebraic equations (PDAEs) pose significant challenges for numerical solvers due to the strong couplings among multiple solution variables and the presence of algebraic ...

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Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

Quantum computers don’t just run faster—they operate under entirely different rules. Instead of processing one outcome at a time, they explore vast possibilities simultaneously. This opens the door to ...

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Struggling with a problem that seems to require trigonometry? This lesson shows how to solve it without using trigonometry, using two easy methods anyone can apply. With clear logic and step-by-step ...

Abstract: We propose a novel method for the efficient and accurate iterative solution of frequency domain integral equations (IEs) used for large/multi-scale electromagnetic scattering problems. The ...

ABSTRACT: Multi-objective optimization remains a significant and realistic problem in engineering. A trade-off among conflicting objectives subject to equality and inequality constraints is known as ...