pde-solver-library

# 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 convergence with refinement ## Tools/Libraries - FEniCS - deal.II - PETSc - Firedrake