Use the method of steepest descent to estimate the integral \[ I(s)=\int _0^1 e^{s(-z^3+iz^3)}\,dz \] for large positive real values of \(s\).
Question
Math 6420 • PDE
Fall 2010 • Question 10
Question
Fall 2010 • Question 10
Use the method of steepest descent to estimate the integral \[ I(s)=\int _0^1 e^{s(-z^3+iz^3)}\,dz \] for large positive real values of \(s\).