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

  1. Designing a 401(k): A Case Study.
    P.J. Laumakis. SIAM REVIEW. Vol.45, No.4. 2003

  2. Activitor-Inhibitor Control of Tissue Growth.
    J.A. Adam. SIAM REVIEW. Vol.33, No.3. 1991

  3. Mathematical Models and the Design of Public Health Policy.
    S. Gupta, R.M. Anderson, R.M. May. SIAM REVIEW. Vol 35, No. 1. 1993

  4. Macroscopic Models for Superconductivity.
    S.J. Chapman, S.D. Howison, J.R. Ockendon. SIAM REVIEW. Vol 34, No. 4. 1992

  5. Calculus and Probability Determine the Performance of a Disk Drive.
    L.E. Moser. SIAM REVIEW. Vol 34, No. 4. 1992

  6. Modeling the Effect of Public Health Campaigns on the Spread of AIDS.
    D. Tudor. SIAM REVIEW. Vol. 34, No. 2. 1992

  7. 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

  8. Instabilities in Gravity Driven Flow of Thin Fluid Films.
    L. Kondic. SIAM REVIEW. Vol. 45, No. 1. 2003

  9. Equal Area World Maps.
    T.G. Feeman. SIAM REVIEW. Vol. 42. No. 1. 2000

  10. Domino Waves.
    C.J. Efthimiou, M.D. Johnson. SIAM REVIEW. Vol. 49, No.1. 2007

  11. Planetary Motion and the Duality of Force Laws.
    R.W. Hall, K. Josic. SIAM REVIEW. Vol. 42, No. 1. 2000

  12. Optimum Spring-Damper Design for Mass Impact.
    D.A. Peters. SIAM REVIEW. Vol 39, No 1. 1997

  13. On the Separation of Coconuts: A Modeling Week Study.
    A.D. Fitt, C.P. Please. SIAM REVIEW. Vol. 46, No. 1. 2004

  14. 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

  15. Mathematical Models of Avascular Tumor Growth.
    T. Roose, S.J. Chapman, P.K. Maini. SIAM REVIEW. Vol. 49, No. 2. 2007.

  16. 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.

  17. Mathematical Description of Microbial Biofilms.
    I. Klapper, J. Dockery. SIAM REVIEW. Vol. 52, No. 2. 2010.

  18. Iterated Impact Dynamics of N-Beads on a Ring.
    B. Cooley, P.K. Newton. SIAM REVIEW. Vol. 47, No. 2. 2005.

  19. k Workers in a Circular Warehouse: A Random Walk on a Circle, without Passing.
    J.D. Skufca. SIAM REVIEW. Vol. 47, No. 2. 2005.

  20. Solving Ordinary Differential Equations with Range Conditions. Applications.
    E. Castillo, A.J. Conejo, C. Castillo, R. Minguez. SIAM REVIEW. Vol. 48, No. 2. 2006

  21. 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.

  22. 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.

  23. ODE Models for the Parachute Problem.
    D.B. Meade. SIAM REVIEW. Vol. 40, No. 2. 1998.

  24. Modeling and Simulating Chemical Reactions.
    D.J. Higham. SIAM REVIEW. Vol. 50, No. 2. 2008.

  25. The Mathematics of Atmospheric Dispersion Modeling.
    J.M. Stockie. SIAM REVIEW. Vol. 53, No. 2. 2011.

  26. 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.

  27. 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.

  28. 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.

  29. Optimality Models in Behavioral Biology.
    J.M. McNamara, A.I. Houston, E.J. Collins. SIAM REVIEW. Vol. 43, No.3. 2001.

  30. As Flat As Possible.
    J. Jacobsen. SIAM REVIEW. Vol. 49, No.3. 2007.

  31. 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.

  32. A Simple Model of Sheet Metal Assembly.
    K. Hoffman. F. Santosa. SIAM REVIEW. Vol. 45, No. 3. 2003

  33. The Mathematics of Infectious Diseases.
    H.W. Hethcote. SIAM REVIEW. Vol. 42, No. 4. 2000

  34. What Makes a Good Friend? The Mathematics of Rock Climbing.
    M. Bonney, J. Coaplen, E. Doeff. SIAM REVIEW. Vol. 40, No. 3. 1998

  35. 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

  36. An Application of Optimal Control to the Economics of Recycling.
    J. Highfill, M. McAsey. SIAM REVIEW. Vol. 43, No. 4. 2001.

  37. The Global Positioning System and The Implicit Function Theorem.
    G. Nord, D. Jabon, J. Nord. SIAM REVIEW. Vol. 40, No.3. 1998

  38. Hydrodynamics of a Water Rocket.
    J.M. Prusa. SIAM REVIEW. Vol. 42, No. 4. 2000

  39. 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

  40. Exploring Reflection: Designing Light Reflectors for Uniform Illumination.
    G.W.D Young. SIAM REVIEW. Vol. 42, No. 4. 2000

  41. Pricing American Perpetual Warrants by Linear Programming.
    R.J. Vanderbei, M.C. Pinar. SIAM REVIEW. Vol. 51, No. 4. 2009

  42. Strings, Chains, and Ropes.
    D. Young. SIAM REVIEW. Vol. 48, No. 4. 2006

  43. Modeling Basketball Free Throws.
    J.M. Gablonsky, A.S.I.D. Lang. SIAM REVIEW. Vol 47, No. 4. 2005

  44. The Simple Pendulum is Not So Simple.
    S.S. Antman. SIAM REVIEW. Vol. 40. No. 4. 1998

  45. Inverting Gravitational Lenses.
    P.R. Newbury, R.J. Spiteri. SIAM REVIEW. Vol. 44, No. 1. 2002