The article discusses how to solve complex problems involving uncertain factors by using a method called stochastic control. This method helps make optimal decisions in areas like finance and energy management. The researchers use a numerical analysis approach to solve these problems, as the traditional equations are often too complex to solve directly. By using a technique called viscosity solutions, they can find approximate solutions that are close to the real answer. The researchers also developed a theory to estimate the errors in their solutions, ensuring they are accurate. The study focuses on error estimates for problems in stochastic game theory and stochastic impulse control.