Disclaimer l The following slides reuse materials from
- Slides: 22
Disclaimer l The following slides reuse materials from SIGGRAPH 2001 Course Notes on Physically-based Modeling (copyright 2001 by David Baraff at Pixar). UNC Chapel Hill M. C. Lin
Determining Step Size l Explicit Integration – Too big, unstable! – Too small, too slow – Adaptive, maybe – Ultimately the constants decide! l Implicit Methods – Taking large steps when possible UNC Chapel Hill M. C. Lin
An Example UNC Chapel Hill M. C. Lin
Speed Limitation of Euler’s Method UNC Chapel Hill M. C. Lin
Stiff Equations UNC Chapel Hill M. C. Lin
A Stiff Energy Landscape UNC Chapel Hill M. C. Lin
Example: Particle-on-line UNC Chapel Hill M. C. Lin
Example: Particle-on-line UNC Chapel Hill M. C. Lin
Example: Particle-on-line UNC Chapel Hill M. C. Lin
Example: Particle-on-line UNC Chapel Hill M. C. Lin
Explicit Integration UNC Chapel Hill M. C. Lin
Problems UNC Chapel Hill M. C. Lin
Explicit vs. Implicit Euler Method vs. UNC Chapel Hill M. C. Lin
UNC Chapel Hill M. C. Lin
One Step: Implicit vs. Explicit UNC Chapel Hill M. C. Lin
Large Systems UNC Chapel Hill M. C. Lin
Implicit Integration UNC Chapel Hill M. C. Lin
Implicit Integration UNC Chapel Hill M. C. Lin
Implicit Integration UNC Chapel Hill M. C. Lin
Linearized Implicit Integration UNC Chapel Hill M. C. Lin
Single-Step Implicit Euler Method UNC Chapel Hill M. C. Lin
Solving Large Systems l Matrix structure reflects force-coupling: l (i , j)th entry exists iff fi depends on Xj l Conjugate gradient a good first choice UNC Chapel Hill M. C. Lin
- A small child slides down the four frictionless slides
- A child is on a playground swing motionless
- In design and implementation, reuse levels are:
- How can we reuse water for class 3
- Frekuensi reuse
- Software reuse
- Advantages and disadvantages of dialyzer reuse
- Things to recycle
- Cots reuse
- Advantages of reuse
- Reuse/release equivalence principle
- Frequency reuse distance formula
- Objectives of reuse reduce recycle
- Sikap apa yang bisa dicontoh dari pengrajin barang bekas
- Make a poster reduce reuse recycle
- Refine reduce reuse recycle recovery retrieve energy
- Bee green recycling
- Reduce reuse recycle respect
- Recycle v3
- Reuse distance
- 3r reduce reuse recycle
- Natural materials and man made materials
- Adopting materials