[수치해석] Numerical Solution of PDE(partial differential equations)_Semi-Discretization

편미분 방정식(PDE)에 대한 수치해석에 대해서 공부를 해보자. PDE : L(φ)=f 를 물리적으로 분류를 해보면 (L : differential operator) 1.

Equilibrium problem : steady state problems - closed boundary : specify something about φ on the boundary - Elliptic PDE 2. Propagation problem : transient nature - open boundary - inital value problems - Parabolic PDE, Hyperbolic PDE 수학적으로 분류를 해보자.

아래의 Quasi-linear 2nd-order PDE hyperbolic PDE if b2-4ac > 0 → two real characteristics parabolic PDE if b2-4ac = 0 → one real characteristics elliptic PDE...