Finite element methods (FEM) constitute a foundational numerical approach for solving partial differential equations by discretising complex domains into smaller, manageable subdomains known as ...
Optimal control theory for partial differential equations (PDEs) represents a compelling confluence of mathematical analysis and engineering applications. This approach involves the determination of ...
Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...