**Sample Questions**

**Fall 2009 and Fall 2010**

**(AZ)1)** **Basic Unix commands.**

**(GC)2)** **Create a simple Makefile.**=

**3)** **Basic compiler options of g++ and gcc compiler (-I,-L,-l,-c,-o).**

**(GC) 4)** **Basic MPI commands**

**5)** **What is the difference between M=
PI and Open MP?**

**7)** **What do you know about job scheduling (Torque, Sun G=
rid Engine, Windows HPC etc.).**

**8)** **What is distributed computing?**=20

**9)** **Development tools for C, C++, and FORTRAN**

**(CS) 10)** **Write a program for matrix mul=
tiplication in C++ or FORTRAN.**

**11)** **Debugging.**

**(CT)12)** **Parallel method f=
or calculating an integral**

**(CT)13)** **Paral=
lel Monte Carlo Method for calculating an integral.**

**(JP)14)** **Newton's metho=
d** *(PDF file)*

**(JP)15)** **=
Newton method with different starting points (parallel programming)**** (PDF file)**

**16)** **Row-major o=
rder versus column-major order in matrices.**

**17)** **Visualization (Matlab, Excel, GNU PLOT etc.)<=
/strong>**

**(CF)18)** **Gauss elimination, =
LU decomposition***(PDF file) * *Gauss elimination, LU decomposition*<=
/strong>

**20)** **What do you know about numerical librari=
es for linear algebra( BLAS, LAPACK etc.) libraries?**

**(OL)22)** **Basics of =
FDM method (finite differences, numerical differentiation)**.

**(OL)23)** **Explicit FDM method .***(PDF file)*

**(OL)***24) I***mplicit FDM metho=
d**

**25)** **Euler me=
thod and numerical integration of systems of ODE.**(????)

**27)** **Calculate mean value a=
nd variance by using parallel computing.**

------------------------------------------------

=20**28) Find the following stochastic integral.**** 29) Solve the following stochastic differential equation by using =
Euler-Maruyama method.**

(PA) 30) **Least Squares problem, L=
inear regression.** *(PDF file)*

*31) Inverse Problems*

**33)** **Give short list of typical BVP (e.g. heat=
transfer equation, wave equation).**General Inf=
ormation About Iterative Solvers.pdf