MTH463: Mathematical Modeling
Case Studies with Numerical Experiments
Spring 2012, UMass Dartmouth
Depending on the number of enrollment in this 14 week class, every student and instructor will be responsible for
presenting (informally) and leading discussions of one or two papers of his/her choice from the list below based on
his/her interests. The papers are available in MyCourses
List of (to be) selected papers
- Designing a 401(k): A Case Study.
P.J. Laumakis. SIAM REVIEW. Vol.45, No.4. 2003
- Activitor-Inhibitor Control of Tissue Growth.
J.A. Adam. SIAM REVIEW. Vol.33, No.3. 1991
- Mathematical Models and the Design of Public Health Policy.
S. Gupta, R.M. Anderson, R.M. May. SIAM REVIEW. Vol 35, No. 1. 1993
- Macroscopic Models for Superconductivity.
S.J. Chapman, S.D. Howison, J.R. Ockendon. SIAM REVIEW. Vol 34, No. 4. 1992
- Calculus and Probability Determine the Performance of a Disk Drive.
L.E. Moser. SIAM REVIEW. Vol 34, No. 4. 1992
- Modeling the Effect of Public Health Campaigns on the Spread of AIDS.
D. Tudor. SIAM REVIEW. Vol. 34, No. 2. 1992
- From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images.
A.M. Bruckstein, D.L. Donoho, M. Elad. SIAM REVIEW. Vol. 51, No. 1. 2009
- Instabilities in Gravity Driven Flow of Thin Fluid Films.
L. Kondic. SIAM REVIEW. Vol. 45, No. 1. 2003
- Equal Area World Maps.
T.G. Feeman. SIAM REVIEW. Vol. 42. No. 1. 2000
- Domino Waves.
C.J. Efthimiou, M.D. Johnson. SIAM REVIEW. Vol. 49, No.1. 2007
- Planetary Motion and the Duality of Force Laws.
R.W. Hall, K. Josic. SIAM REVIEW. Vol. 42, No. 1. 2000
- Optimum Spring-Damper Design for Mass Impact.
D.A. Peters. SIAM REVIEW. Vol 39, No 1. 1997
- On the Separation of Coconuts: A Modeling Week Study.
A.D. Fitt, C.P. Please. SIAM REVIEW. Vol. 46, No. 1. 2004
- An Application of Computer Algebra to Pharmacokinetics: The Bateman Equation.
E. Roanes-Lozano, A. Gonzales-Bermejo, E. Roanes-Macias, J. Cabezas.
SIAM REVIEW. Vol. 48, No. 1. 2006
- Mathematical Models of Avascular Tumor Growth.
T. Roose, S.J. Chapman, P.K. Maini. SIAM REVIEW. Vol. 49, No. 2. 2007.
- The Dynamics of Legged Locomotion: Models, Analyses, and Challenges.
P. Holmes, R.J. Full, D. Koditschek, J. Guckenheimer. SIAM REVIEW. Vol. 48, No. 2, 2006.
- Mathematical Description of Microbial Biofilms.
I. Klapper, J. Dockery. SIAM REVIEW. Vol. 52, No. 2. 2010.
- Iterated Impact Dynamics of N-Beads on a Ring.
B. Cooley, P.K. Newton. SIAM REVIEW. Vol. 47, No. 2. 2005.
- k Workers in a Circular Warehouse: A Random Walk on a Circle, without Passing.
J.D. Skufca. SIAM REVIEW. Vol. 47, No. 2. 2005.
- Solving Ordinary Differential Equations with Range Conditions. Applications.
E. Castillo, A.J. Conejo, C. Castillo, R. Minguez. SIAM REVIEW. Vol. 48, No. 2. 2006
- Spatiotemporal Complexity of Plankton and Fish Dynamics.
A.B. Medvinsky, S.V. Petrovskii, I.A. Tikhonova, H. Malchow, B-L. Li.
SIAM REVIEW. Vol. 44, No. 3. 2002.
- A Mathematical Model for the Control and Eradication of a Wood Boring Beetle Infestation.
S.A. Gourley, X. Zou. SIAM REVIEW. Vol. 53, No. 2. 2011.
- ODE Models for the Parachute Problem.
D.B. Meade. SIAM REVIEW. Vol. 40, No. 2. 1998.
- Modeling and Simulating Chemical Reactions.
D.J. Higham. SIAM REVIEW. Vol. 50, No. 2. 2008.
- The Mathematics of Atmospheric Dispersion Modeling.
J.M. Stockie. SIAM REVIEW. Vol. 53, No. 2. 2011.
- Lithotripsy: The Treatment of Kidney Stones with Shock Waves.
L. Howle, D.G. Schaeffer, M. Shearer, P. Zhong.
SIAM REVIEW. Vol. 40, No. 2. 1998.
- Bubbles in Wet, Gummed Wine Labels.
P. Broadbridge, G.R. Fulford, N.D. Fowkes, D.Y.C. Chan, C. Lassig.
SIAM REVIEW. Vol. 41. No. 2. 1999.
- On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives.
N. Bellomo, C. Dogbe. SIAM REVIEW. Vol. 53, No. 3. 2011.
- Optimality Models in Behavioral Biology.
J.M. McNamara, A.I. Houston, E.J. Collins. SIAM REVIEW. Vol. 43, No.3. 2001.
- As Flat As Possible.
J. Jacobsen. SIAM REVIEW. Vol. 49, No.3. 2007.
- On Spiking Models for Synaptic Activity and Impulsive Differential Equations.
A.J. Catlla, D.G. Schaeffer, T.P. Witelksi, E.E. Monson, A.L. Lin.
SIAM REVIEW. Vol. 50, No. 3. 2008.
- A Simple Model of Sheet Metal Assembly.
K. Hoffman. F. Santosa. SIAM REVIEW. Vol. 45, No. 3. 2003
- The Mathematics of Infectious Diseases.
H.W. Hethcote. SIAM REVIEW. Vol. 42, No. 4. 2000
- What Makes a Good Friend? The Mathematics of Rock Climbing.
M. Bonney, J. Coaplen, E. Doeff. SIAM REVIEW. Vol. 40, No. 3. 1998
- An Elementary Model for Control of a Semiconductor Etching Process.
A. Madhukar, T. Parent, I.G. Rosen, C. Wang.
SIAM REVIEW. Vol. 44, No. 4. 2002
- An Application of Optimal Control to the Economics of Recycling.
J. Highfill, M. McAsey. SIAM REVIEW. Vol. 43, No. 4. 2001.
- The Global Positioning System and The Implicit Function Theorem.
G. Nord, D. Jabon, J. Nord. SIAM REVIEW. Vol. 40, No.3. 1998
- Hydrodynamics of a Water Rocket.
J.M. Prusa. SIAM REVIEW. Vol. 42, No. 4. 2000
- Optimizing the Delivery of Radiation Therapy to Cancer Patients.
D.M. Shepard, M.C. Ferris, G.H. Olivera, T.R. Mackie.
SIAM REVIEW. Vol. 41, No. 4. 1999
- Exploring Reflection: Designing Light Reflectors for Uniform Illumination.
G.W.D Young. SIAM REVIEW. Vol. 42, No. 4. 2000
- Pricing American Perpetual Warrants by Linear Programming.
R.J. Vanderbei, M.C. Pinar. SIAM REVIEW. Vol. 51, No. 4. 2009
- Strings, Chains, and Ropes.
D. Young. SIAM REVIEW. Vol. 48, No. 4. 2006
- Modeling Basketball Free Throws.
J.M. Gablonsky, A.S.I.D. Lang. SIAM REVIEW. Vol 47, No. 4. 2005
- The Simple Pendulum is Not So Simple.
S.S. Antman. SIAM REVIEW. Vol. 40. No. 4. 1998
- Inverting Gravitational Lenses.
P.R. Newbury, R.J. Spiteri. SIAM REVIEW. Vol. 44, No. 1. 2002