Abstract
This paper proposes to use the unconditionally stable explicit method for a physical simulation using the mass-spring system. This paper compares the stability and efficiency of the unconditionally stable explicit method with those of the other methods such as the explicit Newmarkβ method and the Euler method. By diagonalizing the stiffness matrix using the modal analysis, the vector-matrix multiplication in the unconditionally stable explicit method reduces to the scalar multiplication of the vector, which makes the unconditionally stable explicit method more efficient than other methods.
