ASAP PLEASE e) Explain the idea of the Gauss integration formula. f Show on a figure the local and global truncation error for the first two iterations of a ODE solver g) Solve graphically the ODE h)...
e) Explain the idea of the Gauss integration formula. f Show on a figure the local and global truncation error for the first two iterations of a ODE solver g) Solve graphically the ODE h) Explain how numerical adaptive ODE solvers works i) When is a numerical method for solving differential equations considered to be dy dx unstable ? Which parameter(s) is (are) influencing this stability (or instability)? j In general the total error done by any numerical algorithm has two main contributions. Give these two contributions and explain where they come from. What can you do to minimize each of these contributions?
e) Explain the idea of the Gauss integration formula. f Show on a figure the local and global truncation error for the first two iterations of a ODE solver g) Solve graphically the ODE h) Explain how numerical adaptive ODE solvers works i) When is a numerical method for solving differential equations considered to be dy dx unstable ? Which parameter(s) is (are) influencing this stability (or instability)? j In general the total error done by any numerical algorithm has two main contributions. Give these two contributions and explain where they come from. What can you do to minimize each of these contributions?