Introduction numerical methods

• 3+1 spacetime decomposition
• BSSN formalism
• BHB: puncture initial data
• Method of lines
• Finite difference approximation
• GRMHD - Valencia Formulation
• Conservation laws
• Finite volume techniques
• Riemann Problem
• Example: Burgers Equation
• Approximate Riemann Solvers
• Slope Limiters
• Algorithm Overview