CS839 Topics in Computing : PhysicsBased Modeling and Simulation
Fall Semester 2019
Course outline
This course is a review of current trends and technologies for physics based modeling and simulation, with applications to visual effects, interactive virtual environments and computer games. Topics to be covered in class include:
In discussing these topics, particular emphasis will be placed on the efficiency, robustness and stability of numerical algorithms used in simulation tasks, and on the software engineering practices that facilitate scalability and parallelization. Lectures will straddle the following three threads of emphasis: Theory discussion will cover the mathematical foundations of modeling and simulation techniques. Implementation aspects will include software engineering and parallel programming considerations. The discussion of Tools will address thirdparty APIs and data structures that facilitate development of simulation and visualization codes.
General information
Lecture meeting time : Mon/Wed/Fri 4:00pm 
5:15pm (on average, twice a week; exact schedule to be posted by start of
instruction)
Lecture location : Computer Sciences 1257
Instructor : Eftychios Sifakis
Office : Computer Sciences building, Room 6387
Email : sifakis <at> cs <dot> wisc <dot> edu
Office hours : Mon/Wed/Fri 1:30pm  2:15pm on days that class meets or by appointment
Prerequisites : No formal requirements. Nevertheless, a number of numerical techniques will be employed in the context of various topics; the theoretical details of these methods will be summarily covered in class. A certain degree of familiarity with calculus will be desired, although not essential. Competency in linear algebra is desired.
Schedule of lectures
DATE  Lecture Information  Assignments & Reading Materials 
Wednesday, September 4th 
Introduction to Physics Based Modeling 
Lecture Notes [PDF] 
Friday, September 6th 
Solid geometry representations. Dynamic Meshes. Pixar USD 
Lecture Notes [PDF] 
Monday, September 9th 
The Pixar USD CLanguage API and data format 

Wednesday, September 11th 
Introduction To Time Integration. Finite Element Methods Part 1 

Friday, September 13th 
NO CLASS OR OFFICE HOURS 

Monday, September 16th 
Finite Element Methods: Part 2 

Wednesday, September 18th 
Implementation of Finite Element Methods. 

Friday, September 20th 
Implementation of Finite Element Methods (con't). Stability 
Lecture Notes [PDF] 
Monday, September 23rd 
Implicit and Quasistatic Methods: Part 1 
Lecture Notes [PDF] 
Wednesday, September 25th 
Implicit and Quasistatic Methods: Part 2 

Friday, September 27th 
NO CLASS OR OFFICE HOURS 

Monday, September 30th 
Practical Implementation of Backward Euler  Conjugate Gradients 
Lecture Notes [PDF] 
Wednesday, October 2nd 
Nonlinear elasticity, Part I. Robust handling of inversion 
Lecture Notes [PDF] 
Friday, October 4th 
Nonlinear elasticity, Part I. Robust handling of inversion 
Lecture Notes [PDF] 
Monday, October 7th 
Nonlinear elasticity, Part I. Force differentials. 
Lecture Notes [PDF] 
Wednesday, October 9th 
Nonlinear elasticity, Part II. Definiteness Correction 
Lecture Notes [PDF] 
Monday, October 7th 
Nonlinear elasticity, Part III. Refactoring and accelerations 

Monday, October 14th 
NO CLASS OR OFFICE HOURS 

Monday, October 21st 
NO CLASS OR OFFICE HOURS 
