Discover how this powerful open-source SPICE simulator helps you analyse and validate analog, digital and mixed-signal ...

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...

Cahn-Hilliard Equation: This equation models the time evolution of a scalar field $\phi$ which is a fourth-order partial differential equation that models phase separation. Its basic form in real ...

Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...

When an object is given an initial velocity and is affected by gravitational acceleration and air resistance, it follows a specific path known as projectile motion. Athletes often perform this type of ...