wes1's Home Page

Created on Fri Jul 8 11:31:37 EDT 1994 by Lehigh's Web Server.

W. E. Schiesser
Iacocca, B312
Lehigh University
111 Research Drive
Bethlehem, PA 18015 USA

(610) 758-4264 (office)
(610) 758-5057 (fax)
wes1@lehigh.edu

http://www.lehigh.edu/~wes1
http://eqworld.ipmnet.ru

Update 15JUN14

We are engaged in the development of algorithms and associated software for the numerical integration of systems of ordinary differential equations (ODEs),
differential algebraic equations (DAEs) and partial differential equations (PDEs) - Link to Research Summary.

Some selected references pertaining to this work are listed below:

Books:

(1) Schiesser, W. E. (1991), The Numerical Method of Lines Integration of Partial Differential Equations, Academic Press, San Diego

(2) Silebi, C. A., and W. E. Schiesser (1992), Dynamic Modeling of Transport Process Systems, Academic Press, San Diego

(3) Byrne, G. D., and W. E. Schiesser (eds.) (1992), Recent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs, World Scientific, Singapore

(4) Schiesser, W. E. (1994), Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs, CRC Press, Boca Raton

(5) Schiesser, W. E., and C. A. Silebi (1997), Computational Transport Phenomena, Cambridge University Press, Cambridge, UK

(6) Vande Wouwer, A., Ph. Saucez and W. E. Schiesser (eds.) (2001), Adaptive Method of Lines, CRC Press, Boca Raton

(7) Lee, H. J., and W. E. Schiesser (2004), Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple and Matlab,CRC Press, Boca Raton

(8) Schiesser, W. E., and G. W. Griffiths (2009), A Compendium of Partial Differential Equations Models: Method of Lines Analysis with Matlab, Cambridge University Press, Cambridge, UK

(9) Griffiths, G. W., and W. E. Schiesser (2012), Traveling Wave Analysis of Partial Differential Equations: Numerical and Analytical Solutions with Matlab and Maple, Academic Press/Elsevier, Burlington, MA

(10) Schiesser, W. E. (2013), Partial Differential Equation Analysis in Biomedical Engineering, Cambridge University Press, Cambridge, UK

(11) Schiesser, W. E. (2014), Differential Equation Analysis in Biomedical Science and Engineering, Ordinary Differential Equation Analysis with R, John Wiley and Sons, Hoboken, NJ

(12) Schiesser, W. E. (2014), Differential Equation Analysis in Biomedical Science and Engineering, Partial Differential Equation Analysis with R, John Wiley and Sons, Hoboken, NJ

The programs in references (1), (2), (4), (5), (7), (8), (9), (10), (11) and (12) are available on request (the details for accessing these routines are given in this link).

Papers:

(1) Schiesser, W. E. (1996), PDE Boundary Conditions from Minimum Reduction of the PDE, Applied Numerical Mathematics, v20, pp 171-179

(2) Saucez, P., A. Vande Wouwer and W. E. Schiesser (1996), Some Observations on a Static Remeshing Method Based on Equidistribution Principles, J. Computational Physics, v128, pp 274-288

(3) Lee. S. L., and W. E. Schiesser (1997), Some Fundamental Limitations of Mathematical Software Revealed by the Calculation of Spacetime Curvature, in Quality of Numerical Software, R. F. Boisvert (ed.), pp 345-348, Chapman and Hall, London

(4) Taha, T. R., and W. E. Schiesser (1997), Method of Lines Solution of the K(2,2) (KdV-type) Equation, Proceedings of the 15th IMACS World Congress 1997, v2, Numerical Mathematics, pp 127-130, Berlin

(5) Vande Wouwer, A., P. Saucez and W. E. Schiesser (1998), Some User-oriented Comparisons of Adaptive Grid Methods for Partial Differential Equations in One Space Dimension, Applied Numerical Mathematics, v26, pp 49-62

(6) Saucez, P., A. Vande Wouwer and W. E. Schiesser (1998), An Adaptive Method of Lines Solution of the Korteweg-de Vries Equation, Computers Math. Applic., v35, no. 12, pp 13-25

(7) Bloss, K. F., L. T. Biegler and W. E. Schiesser (1999), Dynamic Process Optimization through Adjoint Formulations and Constraint Aggregation, Ind. Eng. Chem. Res., v38, no. 2, pp 412-432

(8) Schiesser, W. E. (1999), 'Computing in Physics' Prompts Model Debate , Physics Today, v52, no. 12, p 15,79

(9) Grandpierre, A. G., D. N. Christodoulides, W. E. Schiesser, C. M. McIntosh and J. Toulouse (2001), SRS Crosstalk in Massive WDM Systems Under the Action of Group Velocity Dispersion, Optics Communications, 6 JUNE 2001, pp 1-5

(10) Grandpierre, A. G., D. N. Christodoulides, W. E. Schiesser, C. M. McIntosh and J. Toulouse (2001), Stimulated Raman Scattering Crosstalk in Massive WDM Systems Under the Action of Group Velocity Dispersion, Optics Communications, 15 JULY 2001, pp 319-323

(11) Saucez, Ph., W. E. Schiesser and A. Vande Wouwer (2001), Upwinding in the Method of Lines, Mathematics and Computers in Simulation, v56, no. 2, pp 171-185

(12) Hamdi, S., W. H. Enright, W. E. Schiesser and J. J. Gottlieb (2003), Exact Solutions of the Generalized Equal Width Wave Equations, Proceedings of the International Conference on Computational Science and Its Applications - 2003, Springer-Verlag, LNCS 2668, Berlin, pp 725-734

(13) Vande Wouwer, A., P. Saucez and W. E. Schiesser (2003), Numerical Experiments with the Moving Finite Element Method, Int. J. Pure and Applied Math., v4, no. 1, pp 1-31

(14) Hamdi, S., W. H. Enright, W. E. Schiesser and J. J. Gottlieb (2004), Exact Solutions and Invariants of Motion for General Types of Regularized Long Wave Equations, Journal of Mathematics and Computers in Simulation, v65, no. 4/5, pp 535-545

(15) Vande Wouwer, A., P. Saucez and W. E. Schiesser (2004), Simulation of Distributed Parameter Systems Using a Matlab-Based Method of Lines Toolbox: Chemical Engineering Applications, Industrial and Engineering Chemistry Research, v43, no. 14, pp 3469-3477

(16) Hamdi, S., W. H. Enright, Y. Ouellet and W. E. Schiesser (2004), Exact Solutions of Extended Boussinesq Equations, Journal of Numerical Algorithms v37, pp 165-175

(17) Griffiths, G. W., Ph. Saucez, A. Vande Wouwer and W. E. Schiesser (2004), Can a Nonlinearity be Neglected? An Example, Mathematical and Computer Modeling, v40, no. 11/12, pp 1393-1403

(18) Montesinos, R. M., A. Tejeda-Mansir, R. Guzman, J. Ortega and W. E. Schiesser (2005), Analysis and Simulation of Frontal Affinity Chromatography of Proteins, Separation Purification Technology, v52, pp 75-84

(19) Hamdi, S., W. H. Enright, Y. Ouellet and W. E. Schiesser (2005), Method of Lines Solutions of the Extended Boussinesq Equations, Journal of Computational and Applied Mathematics, v183, no. 2, pp 327-342

(20) vande Wouwer, A., P. Saucez, W. E. Schiesser and S. Thompson (2005), A MATLAB Implementation of Upwind Finite Differences and Adaptive Grids in the Method of Lines, Journal of Computational and Applied Mathematics, v183, no. 2, pp 245-258

(21) Hamdi, S., W. H. Enright, W. E. Schiesser and J. J. Gottlieb (2005), Exact Solutions and Conservation Laws for Coupled Generalized Korteweg-de Vries and Quintic Regularized Long Wave Equations, Nonlinear Analysis, v63, pp e1425-e1434

(22) Calvert, P. D., K. J. Strissel, W. E. Schiesser, E. N. Pugh, Jr., and V. Y. Arshavsky (2006), Light-driven Translocation of Signaling Proteins in Vertebrate Photoreceptors, Trends in Cell Biology, v16, pp 560-568

(23) Calvert, P. D., J. A. Peet, A. Bragin, W. E. Schiesser, and E. N. Pugh, Jr. (2007), Fluorescence Relaxation in 3D from Diffraction-limited Sources of PAGFP or Sinks of EGFP Created by Multiphoton Photoconversion, J. Microscopy and Imaging, v225, pp 49-71

(24) Hamdi, S., W. E. Schiesser and G. W. Griffiths (2007), The Method of Lines, on-line at Method of Lines, 2(7):2859

(25) Polyanin, A. D., W. E. Schiesser and A. I. Zhurov (2008), Partial Differential Equation, on-line at Partial Differential Equation, 3(10):4605

(25) Griffiths, G. W., and W. E. Schiesser (2009), Linear and Nonlinear Waves, on-line at Linear and Nonlinear Waves, 4(7):4308

(26) Calvert, P. D., W. E. Schiesser, and E. N. Pugh, Jr. (2010), Diffusion of a soluble protein, photoactivatable GFP, through a sensory cilium, J. General Physiology, v135(3), pp 173-196, s1-s8

(27) H. Cheng, H. S. Caram, W. E. Schiesser, J. M. Rickman, H. M. Chan and M. P. Harmer (2010), Oxygen grain-boundary transport in polycrystalline alumina using wedge-geometry bilayer samples: Effect of Y-doping, Acta Materialia, v59, pp 2442-2451

(28) Hamdi, S., B. Morse, B. Halphen, and W. E. Schiesser (2011), Analytical solution of long, nonlinear internal waves, Part I, Nat. Hazards, v57, pp 597-607

(29) Hamdi, S., B. Morse, B. Halphen, and W. E. Schiesser (2011), Analytical solution of long, nonlinear internal waves, Part II, Nat. Hazards, v57, pp 609-616

(30) Northrop, P. W. C., P. A. Ramachandran, W. E. Schiesser and V. R. Subramanian (2013), Robust False Transient Method of Lines for Elliptic Partial Differential Equations, Chem. Engr. Sci, v90, pp 32-39

An introduction to the method of lines (MOL) solution of partial differential equations is available in link.

A partial list of the applications of our ODE/DAE/PDE software appears in link.

A partial list of organizations requesting our ODE/DAE/PDE software in 2007-2014 is available from link.

We have a new release of our introductory global CO2 model, which is available on a CD as a set of Matlab routines, plus printed documentation. For details, see: model.

For maps to Lehigh, maps.

To contact me, send e-mail to wes1@lehigh.edu. To return to Lehigh's home page, click here.