Dr. Dai let us use different methods to solve the same question. Jacobi, Gauss-Seidel, and SOR iteration. From this example we can see the powerthattechnology brings. Jacobi 21897 iterations GS 11651 iterations SOR &nbs ...
This is about Lax-Wendroff Scheme. The HW#12 assigned by Dr.Dai is the simulation Shock Wave. The picture shown below. You will find that along as time going, the wave form keep moving. Lax-Wendroff Scheme
(Continued with last blog) Last blog is about explicit scheme. Here using Crank-Nichlson Scheme. Like last blog I just post some result picture here. And some appendix in attachment is helpful to understand this. I write someequationsfor explanationin the word file. &n ...
Today, MATH 575 is finished. We had our final exam this morning. Problem 4 is about truncation error. It is difficult. Time is not enough to finish that problem. The others are OK. In this blog, I want to record something I have learned. Just for review. In case, in the future I will forget. Bec ...
This is HW#8 assigned by Dr.Dai in MATH 575. This course is about Finite Difference Method. Teach us this Method here is mainly for solving Partial Differential Equation. HW#8 using ADI method to solve a problem ina square area. I post the result picture here. And also provide some app ...