1.- An illustration of various types of computation errors

2.- Sensitivity and accuracy in numerical computation

3.- A comparison of methods of solution of linear systems of equations

4.- A comparison of quadrature formulae

6.- Numerical solution of a selected initial value problem

7.- Numerical solution of a selected boundary value problem

8.- Numerical solution of eigenvalue problems in vibrations

9.- Numerical solution of a selected problem in partial differential equations.

10.- Extrapolation methods for the increase of accuracy of numerical computation.

The responsibility for selecting your term paper topic is yours. Also, you must get me involved with your project from the outset. Ideas, drafts, comments, questions and suggestions about term projects will be exchanged through electronic mail. All written materials must be saved in ASCII (Text) standard prior to sending.

Deadlines for submission of the project proposal and the final report will be strictly enforced.

You are welcome to work in groups, however, the maximum group size allowed is three people. The final report must clearly indicate authorship. The main body of the text - excluding appendices - must not exceed 10 pages. Ideally, an internet-ready version of your final report must also be prepared and posted, although this is not mandatory. Following is a list of suggested project topics, included references.

SUGGESTED PROJECT TOPICS

* Trajectories of skiers in Nordic ski jumping
De Mestre, "The Mathematics of Projectiles in Sport", p.106, 158

* Thickness of the liquid film remaining on a solid object withdrawn from a liquid pool
Probstein, "Physicochemical Hydrodynamics", pp. 280-

* The laminar boundary layer along a flat plate
Schlichting, "Boundary Layer Theory", 7th ed, p. 135

* Laminar flow near a rotating disk
Schlichting, "Boundary Layer Theory", 7th ed, p. 102

* Shape of small drops resting on solid surfaces
Hartland & Hartley, "Axisymmetric Fluid-Liquid Interfaces", pp. 1-

* Solution schemes for the 1D steady, advection-diffusion equation
Peyret & Taylor, "Computational Methods for Fluid Flow", pp. 29-

* Laminar flow in a cavity with a driven lid
Peyret & Taylor, "Computational Methods for Fluid Flow", pp. 199-

* Shock waves on the space shuttle
Anderson, "Modern Compressible Flow", pp. 263-; 301-

* Heavy metal concentrations in lakes
Schnoor, "Environmental modeling", pp. 424-

* VOC releases in aerobic industrial wastewater treatment
Weber * Di Giano, "Process Dynamics in Envrionmental Systems", pp. 196-

* Solving electrical resistance network equations for the Julie bridge
Jennings, "Matrix Computation for Engineers and Scientists", pp. 44-

* Mutual inductance between circular current loops
Grover, "Inductance Calculations", pp. 6-; 77-

* Electrostatic potential in a square cavity
Ramo et al. "Fields and Waves in Communication Electronics", pp. 322-

* Skin effect in cylindrical conductors
Ida, "Numerical Modeling for Electromagnetic Non-destructive Evaluation" pp. 84-

* Potential distribution in electrode-electrolyte systems
Newman, "Electrochemical Systems", 2nd ed. pp 378-

* Transient heat conduction in a plane wall
Kakac & Yener, "Heat Conduction", 3d ed. pp. 185-; 296-

* Solidification rate of liquid melt in contact with a chill
Carslaw & Jaeger, "Conduction of Heat in Solids", 2nd ed. pp 282-

* Thermal response in pulsed laser heating of materials
Ghez, "A Primer of Diffusion Problems", pp. 193-

* Transient diffusion in 1D composite media
Crank, "The Mathematics of Diffusion", 2nd ed. pp.149-

* Input-output analysis for economic planning
Bradley & Meek, "Matrices and Society, pp. 42-

* Prisoner's dilemma game of trade union activism
Bradley & Meek, "Matrices and Society, pp. 219-

* Predator-prey modeling in ecological systems
Kemeny & Snell, "Mathematical Models in the Social Sciences", pp. 24-

* Technological evolution processes
Troitzsch in Gilbert & Doran, "Simulating Societies", pp. 41-

* Multilevel technological substitution
Girifalco, "Dynamics of Technological Change", pp. 143

* Kinematic analysis of a four-bar crank mechanism with a redundant constraint
Haug, "Computer -Aided Kinematics and Dynamics of Mechanical Systems", p. 149

* Pure elastic bending of prismatic bars and plates
Timoshenko & Godier, "Theory of Elasticity", 3d ed. pp. 284-

* Thermo-elastic stresses in hollow cylinders
Timoshenko & Godier, "Theory of Elasticity", 3d ed. pp. 448-

* Longitudinal waves in 1D elastic solids
Achenbach, "Wave Propagation in Elastic Solids", pp. 29-

* Thin-walled circular tube deforming plastically in torsion and extension
Lubliner, "Plasticity Theory", pp. 165-

* Thermal expansion coefficients in a monoclinic crystal
Nye, "Physical Properties of Crystals", pp. 158-

* Transitions in high temperature oxidation of alloys
Birks & Meier, "Introduction to High Temperature Oxidation of Metals", pp. 101

* Heat flow in the workpiece during welding
Easterling, "Introduction to the Physical Metallurgy of Welding", 2nd ed. pp. 18-

* Diffusion controlled growth of a spherical particle
Doremus, "Rates of Phase Transformations", pp. 12-

* 1D analysis of self-propagating high temperature synthesis process
Crane in Rhine, "Synthesis and Processing of Ceramics", pp. 511-

* Residual stresses in coatings
Ohring, "The Materials Science of Thin Films", pp. 413-

* Flow of granular material in a hopper
Tayler, "Mathematical Models in Applied Mechanics", pp.83-

* Error adjustments in surveying
Jennings, "Matrix Computation for Engineers and Scientists", pp. 50-

* Optimal blending by linear programming methods
Dantzig, "Linear Programming and Extensions", pp. 43-46; 110-111

* Strange attractors in dissipative dynamical systems
Berge et al, "Order within Chaos", pp. 111-

* Cluster growth modeling of dielectric breakdown
Vicsek, "Fractal Growth Phenomena", 2nd ed. pp. 174-

* Dynamic behavior of a cascade of two continuous stirred tank reactors with recycle and exothermic reaction
Kubicek & Marek, "Computational Methods in Bifurcation Theory", pp. 28- ; 82; 96