Partial differential equations (PDEs) indeed play a crucial role in engineering, physical and chemical fields. They are regarded as the foundation of many mathematical and physical simulations in real ...

Rotating systems are widely used in various industries. Turbomachinery is employed to extract or perform work on fluids. These machines typically consist of rotating and stationary components, with ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

• Most problems are nonlinear from the get-go. • Simplified load-deflection cases can help explain nonlinear (structural) FEA. Which designers need nonlinear FEA and why? Actually, projects ranging ...

Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...

The nonlinear susceptibility is a measure of a material's nonlinear response to an applied electric field. It determines the strength of the nonlinear effects and is related to the crystal's symmetry ...