Applied Mathematics / Complexity / Numerical Analysis / Numerical Linear Algebra / Algorithm / Linear Algebra / PARTIAL DIFFERENTIAL EQUATION / Efficiency / Parabolic Wave Equation / Linear System / Finite Difference Method / Numerical Analysis and Computational Mathematics / Markov chain / Boundary Value Problem / Monte Carlo Method / Direct Method / Linear Algebra / PARTIAL DIFFERENTIAL EQUATION / Efficiency / Parabolic Wave Equation / Linear System / Finite Difference Method / Numerical Analysis and Computational Mathematics / Markov chain / Boundary Value Problem / Monte Carlo Method / Direct Method