Where to Go Next. Outline. Announcements: Homework IV due Friday by 5, by e-mail Absolutely no exceptions! Answers will be posted on web I will be available during office hours & by appt. Homework III: answers on web Homework III What you knowBy triveni-ishaan
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Scientific Computing with Python [Advanced Topics]. Eric Jones email@example.com En thought www.enthought.com. Travis Oliphant firstname.lastname@example.org Brigham Young University http://www.ee.byu.edu/. Topics. Python as Glue Wrapping Fortran Code Wrapping C/C++ Parallel Programming.
ADVANCED SCIENTIFIC COMPUTING RESEARCH An Overview. Michael Strayer Associate Director, Office of Science Michael.Strayer@science.doe.gov. Department of Energy Organizational Structure. Advanced Scientific Computing Research.
Scientific Computing. Numerical Solution Of Ordinary Differential Equations - Runge-Kutta Methods. Runge-Kutta Methods. If we take more terms in the Taylor’s Series expansion of f(t,x), we would get a more accurate solution algorithm.
Scientific Computing. Linear Systems – Gaussian Elimination. Linear Systems. Linear Systems. Solve Ax=b, where A is an n n matrix and b is an n 1 column vector We can also talk about non-square systems where A is m n , b is m 1, and x is n 1
Scientific Computing. Introduction to Matlab Programming. Today. We will introduce the programming environment for our course: Matlab We will cover: Basic Operations, Functions, Plotting Vectors, Looping Creating a new Function in a M-file. Why Matlab?.
Scientific Computing. Dr. Guy Tel- Zur. Version 28-05-2011.12:40. Agenda. Administration Visualization Visualization in Sage VisIt : Tutorial The Silo file format A demo program Animation Demo : AWS – HTC Instance for Parallel Computing and Cellular Automata / NKS demo on the cloud
Scientific Computing. Partial Differential Equations Explicit Solution of Heat Equation. The one-dimensional Heat Equation for the temperature u(x,t) in a rod at time t is given by: where c >0, T>0 are constants. One Dimensional Heat Equation.
Scientific Computing. Interpolation – Divided Differences Efficiency and Error Analysis. How is Interpolation used?. Here is a table of values for the temperature at a given depth for a lake. We want a good estimate of the temperature at a depth of 7.5 meters. Newton’s Nested Formula.
Scientific Computing. Linear Systems – LU Factorization. LU Factorization. Today we will show that the Gaussian Elimination method can be used to factor (or decompose ) a square, invertible, matrix A into two parts, A = LU, where:
Scientific Computing. Numerical Solution Of Ordinary Differential Equations - Euler’s Method. Bungee Jumper – Coupled ODEs. Bungee Jumper – Coupled ODEs. We want to model the vertical dynamics of a jumper connected to a stationary platform with a bungee cord. F=ma Forces :