PDE Solver Library Purpose Provides numerical methods and solvers for partial differential equations in mathematical modeling and simulation. Capabilities - Finite difference schemes (explicit, implicit, Crank-Nicolson) - Finite element methods (FEM) - Finite volume methods - Spectral methods - Mesh generation and adaptation - Stability and convergence analysis Usage Guidelines 1. Method Selection : Choose method based on PDE type and geometry 2. Mesh Quality : Ensure appropriate mesh resolution 3. Stability Analysis : Verify CFL conditions and stability 4. Convergence : Monitor solution conv…