ES 105 Winter 2012

Computational Methods for Partial Differential Equations

Keith D. Paulsen

---

• Participants
• General Information
• Text: Numerical Partial Differential Equations for Environmental Scientists and Engineers
  D.R. Lynch, Springer 2005.
• Selected References
• Class Notes
• Homeworks are at the bottom of this page.

Software Libraries

• ES 105 Library (Darmouth)
• sprspak (Dartmouth)
• itpak (U. Texas Austin)
• netlib (ORNL, UTK)
• lapack (ORNL, UTK)
• lapack users guide (ORNL, UTK)
• Fortran compilation with LAPACK on Dartmouth machines
• Some useful LAPACK routines
• StatPak (Darmouth)
• MaxPak (Dartmouth)
• lablib (Darmouth-old archive)

Course Computing Environment

• Generalities
• Thayer Computing Services
• Linux Intro
• Linux Services
• The linux lab:218 Cummings
• FORTRAN
• Some Basic Features to Master
• Example code (antique vernacular)
• GNU Fortran
• Some Reference Sites
• U. of LeicesterFortran 77
• U. of LiverpoolFortran 90
• Stanford U.Fortran 77
• Complex numbers in Fortran
• HTML -- Bring these up in a browser and look at the source alongside the regular display.
• Simple HTML tutorial (Amir Golnabi)
• HTML examples
• Tecplot
• Manuals
• Example: Triangle Mesh

NML Reports

• Banded Matrix Storage Modes
• Lapack
• Sprspak
• Battri
• NML Data File Standards
• StatPak
• Tetrahedral Elements

---

---

Homework: Forward Solutions

Problem Set 0: due Monday Jan 9, 11:15.

Read in text: Preface; Appendices 1, 2; Ch 1; skim Ch 2.

Warmup Exercise

Friday's class will be in the Linux Lab with Matt Dailey from TS Computing Services.

Problem Set 1: due Friday Jan 13, 11:15.

Read: text, Chapters 2, 3

DO: Prob 12c.

Problem Set 2: due Friday Jan 20, 11:15.

Read: text, Chapters 4, 5

Complete Extensions of Problem Set 1

Problem Set 3: due Friday Jan 27, 11:15.

Read: text, Chapter 5

Complete Extensions of Problem Set 1 to a transient diffusion equation.

Click here Von Neumann Stability Analysis to see my results for 2D stability analysis in cylindrical cooredinates.

Problem Set 4: due Friday Feb 3, 11:15.

For Problem Set 4 click here Problem Set 4

Midterm: due Friday Feb 10, 11:15.

Click here for instructions

Problem Set 5: due Friday Feb 17, 11:15.

For Problem Set 5 click here Problem Set 5

Problem Set 6: due Friday Feb 24, 11:15.

UPDATED 2/22: For Problem Set 6 click here Problem Set 6

Problem Set 7: due Friday March 2, 11:15.

For Problem Set 7 click here Problem Set 7

<hr size=2 width="100%" align=center>

---

---

---