PDE2D Publications List

I have compiled below a list of 185 publications (in journals listed by Science Citations) in which some or all of the numerical results presented were generated by PDE2D or its earlier IMSL versions, TWODEPEP and PDE/PROTRAN. Perhaps you will find an article in which problems are solved which are similar to those which you wish to solve.

  1. "Transverse Oscillations of Two Coronal Loops," M.Luna, J.Terradas, R.Oliver and J.Ballester, Astrophysical Journal 676, (2008) 717-727.

  2. "The Resonant Damping of Fast Magnetohydrodynamic Oscillations in a System of Two Coronal Slabs," I.Arregui, J.Terradas, R.Oliver and J.Ballester, Astrophysical Journal 674, (2008) 1179-1190.

  3. "On the Excitation of Leaky Modes in Cylindrical Loops," J.Terradas, J.Andries and M.Goossens, Solar Physics 246 (1), (2007) 231-242.

  4. "Resonantly Damped Surface and Body MHD Waves in a Solar Coronal Slab with Oblique Propagation," I.Arregui, J.Terradas,R.Oliver and J.Ballester, Solar Physics 246 (1), (2007) 213-230.

  5. "Experimental Issues Associated with Measurement of Local Electrochemical Impedance," I.Frateur, V.Huang, M.Orazem, B.Tribollet and V.Vivier, Journal of the Electrochemical Society 154 (12), (2007) C719-C727.

  6. "Assessment of Power Deposition Dependence on the Antenna Poloidal Extension in the Fast Waves-Plasma Interaction in Pre-Heated Spherical Tokamaks," K.Komoshvili, S.Cuperman and C.Bruma, Plasma Physics and Controlled Fusion 49 (9), (2007) 1409-1414.

  7. "Transient Mixed Convection along a Vertical Plate Embedded in Porous Media with Internal Heat Generation and Oscillating Temperature," H.Duwairi, R.Damseh and B.Tashtoush, Chemical Engineering Communications 194 (11), (2007) 1516-1530.

  8. "The Influence of the Internal Structuring of Coronal Loops on the Properties of their Damped Transverse Oscillations," I. Arregui, J.Terradas, R.Oliver and J.Ballester, Astronomy and Astrophysics 466 (3), (2007) 1145-1151.

  9. "The Combined Toroidicity, Ellipticity and Triangularity Effects on the Energy Deposition of Alfven Modes in Pre-heated, Low Aspect Ratio Tokamaks," S.Cuperman, C.Bruma and K.Komoshvili, Physics Letters A 362 (4), (2007) 305-323.

  10. "Experimental and Theoretical Analyses of Penetration Processes of Externally Applied Rotating Helical Magnetic Perturbation Fields in TEXTRO and HYBTOK-II," Y.Kikuchi et al, Plasma Physics and Controlled Fusion 49, (2007) A135-A143.

  11. "The Apparent Constant-Phase-Element Behavior of a Disk Electrode with Faradaic Reactions - A Global and Local Impedance Analysis," V.Huang, V.Vivier, M.Orazem, N.Pebere and B.Tribollet, Journal of the Electrochemical Society 154 (2), (2007) C99-107.

  12. "The Global and Local Impedance Response of a Blocking Disk Electrode with Local Constant-Phase-Element Behavior," V.Huang, V.Vivier, I.Frateur, M.Orazem and B.Tribollet, Journal of the Electrochemical Society 154 (2), (2007) C89-98.

  13. "The Apparent Constant-Phase-Element Behavior of an Ideally Polarized Blocking Electrode - A Global and Local Impedance Analysis," V.Huang, V.Vivier, M.Orazem, N.Pebere and B.Tribollet, Journal of the Electrochemical Society 154 (2), (2007) C81-88.

  14. "Linear Analysis of the Interaction of Rotating Helical Magnetic Perturbations with Tokamak Plasmas Based on the Reduced Two-Fluid Model," Y.Kikuchi, K.Finken, M.Jakubowski, M.Lehnen, D.Reiser, G.Sewell and R.Wolf, Contributions to Plasma Physics 46 (7-9), (2006) 539-544.

  15. "Fast Magnetohydrodynamic Waves in a Two-slab Coronal Structure: Collective Behavior," M.Luna, J.Terradas, R.Oliver and J.Ballester, Astronomy and Astrophysics 457 (3), (2006) 1071-1079.

  16. "Damping of Kink Oscillations in Curved Coronal Loops," J.Terradas, R.Oliver and J.Ballester, Astrophysical Journal 650, (2006) L91-L94.

  17. "Intraslab Seismicity and Thermal Stress in the Subducted Cocos Plate beneath Central Mexico," V.Manea, M.Manea, V.Kostoglodov, G.Sewell, Tectonophysics 420, (2006) 389-408.

  18. "Damped Coronal Loop Oscillations: Time-dependent Results," J.Terradas, R.Oliver and J.Ballester, Astrophysical Journal 642 (1), (2006) 533-540.

  19. "Excitation and Damping of Disturbances in Cylindrical Coronal Loops," J.Terradas, R.Oliver and J.Ballester, Philosophical Transactions of the Royal Society A--Mathematical, Physical and Engineering Science 364 (1839), (2006) 547-550.

  20. "Modelling of the Penetration Process of Externally Applied Helical Magnetic Perturbation of the DED on the TEXTOR Tokamak," Y.Kikuchi, K.H.Finken, M.Jakubowski, M.Lehnen, D.Reiser, G.Sewell and R.C.Wolf, Plasma Physics and Controlled Fusion 48, (2006) 169-183.

  21. "On the Excitation of Trapped and Leaky Modes in Coronal Slabs," J.Terradas, R.Oliver and J.Ballester, Astronomy and Astrophysics 441 (1), (2005) 371-378.

  22. "Effects of an Anomalous Resistivity on the Power Deposition by ALFVDN Waves in Pre-heated Spherical Tokamaks," C.Bruma, S.Cuperman and K.Komoshvili, Physica Scripta 72 (2-3), (2005) 224-233.

  23. "Dense Gas Extraction using a Hollow Fiber Membrane Contactor: Experimental Results Versus Model Predictions," A.Gabelman, S.Hwang and W.Krantz, Journal of Membrane Science 257 (1-2), (2005) 11-36.

  24. "Time Damping of Linear Non-adiabatic Magnetoacoustic Waves in a Slab-like Quiescent Prominence," J.Terradas, M.Carbonell, R.Oliver and J.Ballester, Astronomy and Astrophysics 434 (2005) 741-749.

  25. "Two-Dimensional Imaging of the Plasma Response to Externally Launched Fast Waves in Preheated Spherical Tokamaks," C.Bruma, S.Cuperman and K.Komoshvili, IEEE Transactions on Plasma Science 33 (2), (2005) 456-457.

  26. "Transient Mixed Convection with Internal Heat Generation and Oscillating Plate Temperature," B. Tashtoush and H. Duwairi, Acta Mechanica 174 (3-4), (2005) 185-199.

  27. "The Excitation and Damping of Transversal Coronal Loop Oscillations," J.Terradas, R.Oliver and J.Ballester, Astrophysical Journal 618 (2), (2005) L149-L152.

  28. "Thermo-mechanical Model of the Mantle Wedge in Central Mexican Subduction Zone and a Blob Tracing Approach for the Magma Transport," V.C.Manea, M.Manea, V.Kostoglodov and G.Sewell, Physics of the Earth and Planetary Interiors 149, (2005) 165-186.

  29. "Driving Mechanism of Tectonic Activity in the Northern Apennines: Quantatative Insights from Numerical Modeling," M.Viti, J. De Luca, D.Babbucci, E.Mantovani, D.Albarello and F.D'Onza, Tectonics 23 (4) Article #TC4003 (2004).

  30. "Thermal Structure, Coupling and Metamorphism in the Mexican Subduction Zone beneath Guerrero," V.C.Manea, M.Manea, V.Kostoglodov, C.Currie and G.Sewell, Geophysical Journal International 158, (2004) 775-784.

  31. "The Role of Trench Retreat on the Geometry and Stress Regime in the Subduction Complexes of the Mediterranean," C.Rizzetto, A.Marotta and R.Sabadini, Geophysical Research Letters 31 (11), L11604 (2004).

  32. "Modeling of the Field Line Penetration and Force Transfer by the Dynamic Ergodic Divertor of TEXTOR," K.Finken, S.Abdullaev, M.Jakubowski, M.Lehnen and G.Sewell, Nuclear Fusion 44 (2004) S55-S63.

  33. "Drying Front in a Sloping Aquifer: Nonlinear Effects," F. Stagnitti, L. Li, J.Parlange, W.Brutsaert, D.Lockington, T.Steenhuis, M.Parlange, D.Barry and W.Hogarth, Water Resources Research 40 (4), Article #W04601, April 9, 2004.

  34. "Ionization of Short Polymethacrylic Acid: Titration, DLS and Model Calculations," A.Pohlmeier and S. Haber-Pohlmeier, Journal of Colloid and Interface Science 273 (2): 369-380, May 15, 2004.

  35. "Dirichlet Inhomogeneous Boundary Value Problem for the n+1 Complex Ginzburg-Landau Equation," C.Bu and H.Gao, Journal of Differential Equations 198, number 1 (2004) 176-195.

  36. "Post-seismic Relaxation and Earthquake Triggering in the Southern Adriatic Region," M.Viti, F.D'Onza, E.Mantovani, D.Albarello and N.Cenni, Geophysical Journal International 153, number 3 (2003) 645-657.

  37. "On the Generation of Transport Suppression Barriers by Externally Driven Alfven Waves in D-Shaped, Low Aspect Ratio Tokamaks," C.Bruma, S.Cuperman and K.Komoshvili, Phisica Scripta 67 (2003) 431-438.

  38. "Solution of the Resistive Two-Fluid Wave Equations for Alfvenic Modes in Spherical Tokamak Plasmas," S.Cuperman, C.Bruma and K.Komoshvili, Journal of Plasma Physics 69, part 1 (2003) 15-43.

  39. "Optimization of Transport Suppression Barriers Generated by Externally Diven Alfven Waves in D-Shaped, Low Aspect Ratio Tokamaks," C.Bruma, S.Cuperman and K.Komoshvili, Plasma Physics and Controlled Fusion 45 (2003) 489-504.

  40. "Structure and Relative Importance of Ponderomotive Forces and Current Drive Generated by Converted Fast Waves in Pre-heated Low Aspect Ratio Tokamaks," S.Cuperman, C.Bruma and K.Komoshvili, Physics Letters A 311 (2003) 221-241.

  41. "Kinetic Effects in the Conversion of Fast Waves in Pre-heated, Low Aspect Ratio Tokamak Plasmas," K.Kommoshvili, S.Cuperman and C.Bruma, Plasma Physics and Controlled Fusion 45 (2003) 275-287.

  42. "Modeling Approach to a 3D Simulation of Transport in TEXTOR-DED Laminar Zone with a Finite Element Method," M.Kobayashi, D.Reiser, G.Sewell, K.Finken and S.Abdullaev, Journal of Nuclear Materials, 313 (2003), 1056-1060.

  43. "New Approach for Describing Transient Pressure Response Generated by Horizontal Wells of Arbitrary Geometry," R.Gonzalez-Requena and J.Guevara-Jordan, Applied Numerical Mathematics 40 (2002), 433-449.

  44. "Accurate Prediction of Friction Factor and Nusselt Number for some Duct Flows of Power-law non-Newtonian Fluids," S.Syrjala, Numerical Heat Transfer, Part A, 41 (2002), 89-100.

  45. "Modeling Analysis of the Transport Properties in TEXTOR-DED Laminar Zone with A Finite Element Code," M.Kobayashi, G.Sewell, K.Finken, T.Eich, D.Reiser and S.Abdullaev, Contributions to Plasma Physics 42, number 2-4 (2002), 163-168.

  46. "Sudden Drawdown and Drainage of a Horizontal Aquifer," J.Parlange, F.Stagnitti, A.Heilig, J.Szilagyi, M.Parlange, T.Steenhuis, W.Hogarth, D.Barry and L.Li, Water Resources Research 37, number 8 (2001) 2097-2101.

  47. "Transport Modelling of TEXTOR-DED Laminar Zone," T.Eich, D.Reiser and K.Finken, Journal of Nuclear Materials 290-293 (2001), 849-853.

  48. "Modeling Detailed Sedimentary 210Pb and Fallout 239,240Pu Profiles to Allow Episodic Events: An Application in Chesapeake Bay," Y.Nie, I.Suayah, L.Benninger and M.Alperin, Limnology and Oceanography 46, number 6 (2001), 1425-1437.

  49. "Electrical Potential and Reaction Rates at Charged Surfaces in Asymmetric Electrolytes--An Analytic Approach," H.Lustfeld and A.Pohlmeier, Journal of Colloid and Interface Science 239 (2001) 113-125.

  50. "Uncertain Parameters and Reverse Convertibles," J.Topper, Risk, January 2001, 4-7.

  51. "Two Dimensional Modelling Approach to Transport Properties of the TEXTOR-DED Laminar Zone," T.Eich, D.Reiser and K.Finken, Nuclear Fusion 40, number 10 (2000) 1757-1772.

  52. "A Comparison of the Electrodynamics of Metals under the Action of Large Electric Currents," M.Baginski, E.Shaffer, K.Thomas and J.McGuirk, International Journal of Applied Electromagnetics and Mechanics 11 (2000) 79-93.

  53. "Piezoelectric Potentials and Carrier Lifetimes in Strain-Induced Quantum Well Dots," R.Virkkala, K.Maijala and J.Tulkki, Physical Review B 62, number 11 (2000) 6932-6935.

  54. "Comparison Between Optical Fiber Birefringence Induced by Stress Anisotropy and Geometric Deformation," D.Chowdhury and D.Wilcox, IEEE Journal of Selected Topics in Quantum Electronics 6, number 2, (2000) 227-232.

  55. "(Meta)stable Closed Vortices in 3+1 Dimensional Gauge Theories with an Extended Higgs Sector," A.Niemi, K.Palo, S.Virtanen, Physical Review D 61, (2000) 085020.

  56. "A Numerical Model for Stability Considerations in HTS Magnets," J.Lehtonen, R.Mikkonen and J.Paasi, Superconductor Science and Technology 13 (2000) 251-258.

  57. "A New Approach for the Simulation of Melting in Extruders," S.Syrjala, International Communications in Heat and Mass Transfer 27, number 5 (2000) 623-634.

  58. "Numerical Simulation of Nonisothermal Flow of Polymer Melt in a Single-Screw Extruder: A Validation Study," S.Syrjala, Numerical Heat Transfer 37, Part A (2000) 897-915.

  59. "A Comparison of the Electrodynamics of Metal Foils under the Action of Large Electric Currents (II)," M.Baginski and E.Shaffer, International Journal of Applied Electromagnetics and Mechanics 11, number 1 (2000).

  60. "Solving Problems in Computational Physics using a General-Purpose PDE Solver," R.Fitzgerald and G.Sewell, Computer Physics Communications 124 (2000) 132-138.

  61. "Electrodeposition of Copper from Cuprous Cyanide Electrolyte II. Current Distribution on a Rotating Disk," D.Dudek and P.Fedkiw, Journal of Electroanalytical Chemistry 474 (1999) 31-42.

  62. "Electrodeposition of Copper from Cuprous Cyanide Electrolyte I. Current Distribution on a Stationary Disk," D.Dudek and P.Fedkiw, Journal of Electroanalytical Chemistry 474 (1999) 16-30.

  63. "Can We Distinguish Richards' and Boussinesq's Equations for Hillslopes?: The Coweeta Experiment Revisited," T.Steenhuis, J.Parlange, W.Sanford, A.Heilig, F.Stagnitti and M.Walter, Water Resources Research 35, number 2 (1999) 589-593.

  64. "Analysis and Interpretation of Well Level Changes Induced by the Roermond Earthquake of April, 1992," G.Grecksch, PhD Thesis, Faculty of Mathematics and Natural Sciences, University of Bonn; Shaker Verlag Publishing House, Aachen, Germany, 132pp (ISBN 3-8265-6117-1) (1999).

  65. "On the Analysis of Fluid Flow and Heat Transfer in the Melt Conveying Section of a Single-Screw Extruder," S.Syrjala, Numerical Heat Transfer 35, Part A, number 1 (1999) 25-47.

  66. "Stability Considerations of a High-Temperature Superconductor Tape at Different Operating Temperatures," J.Lehtonen, R.Mikkonen and J.Paasi, Physica C 310 (1998) 340-344.

  67. "Depth-hoar Growth Rates near a Rocky Outcrop," E.Arons, S.Colbeck and J.Gray, Journal of Glaciology 44, number 148 (1998) 477-484.

  68. "The Effect of Particle Size on the Discharge Performance of a Nickel- Metal Hydride Cell," J.Heikonen, H.Ploehn and R.White, Journal of the Electrochemical Society 145, number 6 (1998) 1840-1848.

  69. "Electromagnetic Forces on the Earth's Core due to Poleward Transport of Heat in the Oceans," R.Tyler and T.Sanford, Geophysical and Astrophysical Fluid Dynamics 88 (1998) 115-129.

  70. "Propagation of Electromagnetic Fields in the Coastal Ocean with Applications to Underwater Navigation and Communication," R.Tyler, T.Sanford and M.Unsworth, Radio Science 33, number 4 (1998) 967-987.

  71. "Laminar Flow of Viscoelastic Fluids in Rectangular Ducts with Heat Transfer: a Finite Element Analysis," S.Syrjala, International Communications in Heat and Mass Transfer 25, number 2 (1998) 191-204.

  72. "Solution of Ground Water Flow Problems with General Purpose and Special Purpose Computer Codes," M.Gribb and G.Sewell, Ground Water 36, number 2 (1998) 366-372.

  73. "Analysis of Ferrite Circulators by 2-D Finite-Element and Recursive Green's Function Techniques," H. Newman and C.Krowne, IEEE Transactions on Microwave Theory and Techniques 46, number 2 (1998) 167-177.

  74. "A Periodic Boundary Value Problem for a Generalized 2D Ginzburg- Landau Equation," C. Bu, R. Shull and K. Zhao, Hokkaido Journal of Mathematics 27, number 1 (1998) 1-23.

  75. "Cross-phase Modulation Phenomena in Strongly Guiding Waveguides: A Theoretical Approach Revisited," M.Fontaine, Journal of the Optical Society of America B15, number 3 (1998) 964-971.

  76. "Steady-state and Transient Thermal Performance of Subsea Hardware," G.Zabaras and J.Zhang, SPE Drill Completion 13 (2) (1998) 108-113.

  77. "Theoretical Approach to Investigating Cross-phase Modulation Phenomena in Waveguides with Arbitrary Cross Sections," M.Fontaine, Journal of the Optical Society of America B14, number 6 (1997) 1444-1452.

  78. "Stable Knot-like Structures in Classical Field Theory," L.Faddeev and A.Niemi, Nature 387 (May 1, 1997) 58-61.

  79. "Study of Power Load on TdeV Divertor Plates with an Infrared Camera," W.Zhang, T.Fall, B.Terreault, J.Gunn, J.Mailloux, A.Sarkissian and N.Richard, Journal of Nuclear Materials 244 (1997) 44-50.

  80. "Intracranial Drug Delivery Systems," S.Kalyanasundaram and K.Leong, S.T.P. Pharma Sciences 7 (1997) 62-70.

  81. "Comparison of Band-filling and Gain Models for Multiple-quantum-well Lasers," A.Heinamaki and J.Tulkki, Journal of Applied Physics 81, number 7 (1997) 3268-3275.

  82. "Numerical Study of Fully Developed non-Newtonian Fluid Flow and Heat Transfer in a Rectangular Channel with a Moving Wall," S.Syrjala, International Communications in Heat and Mass Transfer 24, number 1, (1997) 11-25.

  83. "Full Vectorial Simulation for Characterizing Loss or Gain in Optical Devices with an Accurate and Automated Finite-Element Method," V.Tzolov, M. Fontaine, G. Sewell and A. Delage, Applied Optics 36, number 3 (1997) 622-628.

  84. "A Characterization of the Electrodynamics of Metals under the Action of Large Electric Currents," M.Baginski, K.Thomas, E.Shaffer and T.Baginski, International Journal of Applied Electromagnetics and Mechanics 7 (1996) 193-211.

  85. "A Passive Polarization Converter Free of Longitudinally-Periodic Structure," V.Tzolov and M.Fontaine, Optics Communications 127 (1996) 7-13.

  86. "Theoretical and Experimental Analysis of Thermal Stress Effects on Modal Polarization Properties of Highly Birefringent Optical Fibers," M.Fontaine, B.Wu, V.Tzolov, W.Bock and W.Urbanczyk, Journal of Lightwave Technology 14, number 4 (1996) 585-591.

  87. "Thermally Tunable Integrated Optical Ring Resonator with Poly-Si Thermistor," P.Heimala, P.Katila, J.Aarnio and A.Heinamaki, Journal of Lightwave Technology 14, number 10 (1996) 2260-2267.

  88. "An Investigation of the Reconfiguration of the Electric Field in the Stratosphere Following a Lightning Event," M.Baginski, A.Hodel and M.Lankford, Journal of Electrostatics 36 (1996) 331-347.

  89. "Centerline Temperature of Mantle Plumes in Various Geometries: Incompressible Flow," A.Leitch, V.Steinbach and D.Yuen, Journal of Geophysical Research 101, number B10 (1996) 21829-21846.

  90. "Numerical Simulation of Blow-Up of a 2D Generalized Ginzburg-Landau Equation," C.Bu, R.Shull and A.Mareno, Applied Math Letters 9, number 6 (1996) 13-17.

  91. "Further Finite Element Analyses of Fully Developed Laminar Flow of Power-law non-Newtonian Fluid in Rectangular Ducts: Heat Transfer Predictions," S.Syrjala, International Communications in Heat and Mass Transfer 23, number 6 (1996) 799-807.

  92. "Thermally Induced Strain and Birefringence Calculations for a Nd:YAG Rod Encapsulated in a Solid Pump Light Collector," S. Jackson and J. Piper, Applied Optics 35, number 9 (1996) 1409-1423.

  93. "Higher-order Penalty-Galerkin Finite Element Approach to Laminar Natural Convection in a Square Cavity," S. Syrjala, Numerical Heat Transfer A 29 number 2 (1996) 197-210.

  94. "Discharge Behavior of Tubular Lead Dioxide Electrodes III: 2-Dimensional Current-Density Distribution," J.Landfors, D.Simonsson and R.White, Journal of Applied Electrochemistry 25 (1995) 315-325.

  95. "Finite Element Analysis of Microwave Heating of Solid Foods," Y.Lin R.Anantheswaran and V.Puri, Journal of Food Engineering 25 (1995) 85-112

  96. "Dynamics of Spatiotemporally Propagating Transport Barriers," P.Diamond, V.Lebedev, D.Newman and B.Carreras, Physics of Plasmas 2, number 10 (1995) 3685-3695.

  97. "Nonlinear Modal Parameters of Optical Fibers: A Full-Vectorial Approach," V. Tzolov, M. Fontaine, N. Godbout and S. Lacroix, Journal of the Optical Society of America B 12, number 10 (1995) 1933-1941.

  98. "Finite-Element Analysis of Fully Developed Laminar Flow of Power-Law Non-Newtonian Fluid in a Rectangular Duct," S. Syrjala, International Communications in Heat and Mass Transfer 22, number 4 (1995) 549-557.

  99. "The Lateral Rigidity of Double-Coated Optical Fibers," F. Cocchini, Journal of Lightwave Technology 13, number 8 (1995) 1706-1710.

  100. "The Style of the Tyrrhenian Subduction," A. Marotta and R.Sabadini, Geophysical Research Letters 22, number 7 (1995) 747-750.

  101. "Thermoacoustic Waves in a Semi-Infinite Medium," Y. Huang and H. Bau, International Journal of Heat and Mass Transfer 38, number 8 (1995) 1329-1345.

  102. "Thermal Modeling of Solid Nonfocusing Pump Light Collectors used for Diode-pumped Nd:YAG Lasers," S.Jackson and J.Piper, Applied Optics 34, number 12 (1995) 2012-2023.

  103. "Theoretical Analysis of Birefringence and Form-Induced Polarization Mode Dispersion in Birefringent Optical Fibers: a Full-Vectorial Approach," V. Tzolov and M.Fontaine, Journal of Applied Physics 77, number 1 (1995) 1-6.

  104. "A Model for Analyzing the Formation of Thrombin in Vessels," T.Chung and E.Orear, Computers and Biomedical Research 24 (1994) 31-41.

  105. "Finite Element Solution to the Atmosphere's Electromagnetic Response to Charge Perturbations Associated with Lightning," M. Baginski, Progress in Electromagnetics Research 8 (1994) 315-364.

  106. "Nonlinear Evolution of a Uniaxially Stressed Solid: a Route to Fracture?" K. Kassner and C. Misbah, Europhys. Lett. 28 (1994) 245-250.

  107. "Thermal Force Modeling for Global Positioning System Satellites Using the Finite Element Method", Y.Vigue, B.Schutz and P.Abusali, AIAA Journal of Spacecraft and Rockets 31, number 5 (1994) 855-859.

  108. "Characterization of Thunderstorm Induced Maxwell Current Densities in the Middle Atmosphere," M.Baginski and G.Jarriel, Journal of Electrostatics 33 (1994) 87-102.

  109. "A Case Study Comparing the Lossy Wave Equation to the Continuity Equation in Modeling Late Time Fields Associated with Lightning," M.Baginski and S.Hodel, Journal of Applied Computational Electromagnetics 9, number 2 (1994) 98-110.

  110. "Full Vectorial Simulation of Multilayer Anisotropic Waveguides Using an Accurate and Automated Finite Element Program," A.Zhao and S.Cvetkovic, Applied Optics 33, number 24 (1994) 5650-5656.

  111. "Finite Element Analysis of Microstrip Systems in the Vicinity of a Substrate Edge and Approximate Formulas for Capacitance," M.Baginski, L.Riggs, F.German and G.Jarriel, IEEE Transactions on Electromagnetic Compatibility 36, number 4 (1994) 404-408.

  112. "An Implementation of the Vectorial Finite-Element Analysis of Anisotropic Waveguides through a General-Purpose PDE Software," S.Cvetkovic, A.Zhao and M.Punjani, IEEE Trans. Microwave Theory and Techniques 42, number 8 (1994) 1499-1505.

  113. "Comparison of Two Interactive Finite Element Programs for Analysis of Optical and Microwave Waveguides," S.Cvetkovic, F.Fernandez, A.Zhao, R.Ettinger, G.Sewell and J.Davies, Journal of Lightwave Technology, volume 12, number 7 (1994) 1112-1120.

  114. "Automated Finite Element Solution of Non-Linear Optical Waveguide Problems in Two Dimensions," S.Cvetkovic, A. Zhao and M.Punjani, Microwave and Optical Technology Letters 7 (1994) 293-296.

  115. "Thermal Characteristics of a Nickel-Hydrogen Battery," J. Kim, T.Nguyen and R. White, Journal of the Electrochemical Society 141, number 2, (1994) 333-338.

  116. "Computations of Optical Birefringence Characteristics of Highly Eccentric Elliptical Core Fibers under Various Thermal Stress Conditions," Marie Fontaine, Journal of Applied Physics 75-1 (1994) 68-73.

  117. "PDE2D: Easy-to-use Software for General Two-dimensional Partial Differential Equations," G.Sewell, Advances in Engineering Software 17 (1993) 105-112.

  118. "A Fokker-Plank Code for the Numerical Solution of the Plasma Heating and the Current Drive Problems with Synergetic Effects," M.Shoucri and I.Shkarofsky, Computer Physics Communications 78 (1993) 199-210.

  119. "Theoretical Analysis of a Method for in Situ Decontamination of Soil Containing 2,3,7,8-Tetrachlorodibenzo-p-dioxin," E.Dougherty, A.McPeters, M.Overcash and R.Carbonell, Environmental Science and Technology 27 (1993) 505-515.

  120. "Thermal Analysis of Spirally Wound Li/BCX and Li/SOCl2 Cells", E.Kalu and R.White, Journal of the Electrochemical Society 140, (1993) 23-31.

  121. "A New Numerical Method for Computing the Optical Characteristics of Birefringent Fibers," M.Fontaine, Journal of Applied Physics 73-4 (1993) 1557-1560.

  122. "Comparison of Heat-Fin Materials and Design of a Common-Pressure- Vessel Nickel-Hydrogen Battery," J.Kim and R.White, Journal of the Electrochemical Society 139 (1992) 3492-3499.

  123. "Thermal Mathematical Modeling of a Multicell Common Pressure Vessel Nickel-Hydrogen Battery," J.Kim, T.Nguyen and R.White, Journal of the Electrochemical Society 139 (1992) 2781-2787.

  124. "About the Potential of Wells to Reflect Stress Variations within Inhomogeneous Crust," H.Kumpel, Tectonophysics 211 (1992) 317-336.

  125. "Determination of Heat and Mass Transfer Coefficients in Thin Layer Drying of Grain," M.Miketinac, S.Sokhansanj and Z.Tutek, Transactions of the ASAE 35 (1992) 1853-1858.

  126. "Axisymmetric Spherical Shell Models of Mantle Convection with Variable Properties and Free and Rigid Lids," A.Leitch, D.Yuen and C.Lausten, Journal of Geophysical Research 97 E (1992) 20899-20923.

  127. "About the Potential of Wells to Reflect Stress Variations within Inhomogeneous Crust," H.Kuempel, Tectonophysics 211 (1992) 317-336.

  128. "Stability of a Chemically Layered Upper Mantle," M.Todesco, F.Spera, Physics of the Earth and Planetary Interiors 71 (1992) 85-99.

  129. "Thermohaline Convection in a Porous Medium Heated from below," N.Rosenberg and F.Spera, International Journal of Heat and Mass Transfer 35 (1992) 1261-1273.

  130. "Simulations of Magma Withdrawal from Compositionally Zoned Bodies," A.Trial, F.Spera, J.Greer and D.Yuen, Journal of Geophysical Research 97 B (1992) 6713-6733.

  131. "Numerical Solution of the Fokker-Planck Equation with a DC Electric Field," I.Shkarofsky, M.Shoucri and V.Fuchs, Computer Physics Communcations 71 (1992) 269-284.

  132. "Current Distribution in a HORIZON Lead-Acid Battery during Discharge," Z.Mao, R.White and B.Joy, Journal of the Electrochemical Society 138 (1991) 1615-1620.

  133. "Kinetics of Photodegradation of 2,3,7,8-Tetrachlorodibenzo-p-dioxin: Theoretical Maximum Rate of Soil Decontamination," E.Dougherty, A.McPeters and M. Overcash, Chemosphere 23 (1991) 589-600.

  134. "Current Distribution in a Parallel-Plate Reactor: A Comparison of Steady and Sinusoidal Cell-Voltage Control," J.Smeltzer and P.Fedkiw, Journal of the Electrochemical Society 138 (1991) 3665-3673.

  135. "Compressible Convection in a Viscous Venusian Mantle," A.Leitch and D.Yuen, Journal of Geophysical Research 96 E (1991) 15551-15562.

  136. "Sensor Applications for Synthetic Polycrystalline Thin Film Diamond," T.Roppel, M.Baginski, D.Jaworske, and R.Ramesham, Sensors and Materials 2, No. 6 (1991) 329-346.

  137. "Mantle Convection with Internal Heating and Pressure-Dependent Thermal Expansivity," A.Leitch, D.Yuen and G.Sewell, Earth and Planetary Science Letters 102 (1991) 213-232.

  138. "Electron Bean Surface Melting--Numerical Calculation of the Melt Geometry and Comparison with Experimental Results," G.Goldschmied, E.Tschegg and A.Schuler, Journal of Physics D: Applied Physics 23, (1990) 1686-1694.

  139. "Analysis of Nonuniformities in the Plasma Etching of Silicon with CF-4/O-2," A.Kao and H.Stenger, Journal of the Electrochemical Society 137 (1990) 954-960.

  140. "Finite Element Deformation of an Elastic, Non-uniform Medium Produced by a Dilating or Pressurized Magma Chamber," F.Quareni, Geophysical Journal International 101 (1990) 243-249.

  141. "Self-Organization in Convective Magma Mixing," C.Oldenburg, F.Spera and D.Yuen, Earth-Science Review 29 (1990) 331-348.

  142. "Role of Anisotropic and/or Layered Permeability in Hydrothermal Convection," N.Rosenburg and F.Spera, Geophysical Research Letters 17 (1990) 235-238.

  143. "Simulation of Water Flow from a Percolation Test Hole in Layered Soil," J.Jabro and D.Fritton, Soil Science Society of America Journal 54 (1990) 1214-1218.

  144. "Experimental and Numerical Characterization of the Radio Frequency Drying of Textile Materials II," M.Baginski, R.Broughton, D.Hall, and L.Christman, Journal of Microwave Power and Electromagnetic Energy 25, No. 2, (1990) 104-113.

  145. "Numerical Simulation of Temperature Distributions During Electron Beam Annealing of Multilayer Semiconductor Structures," Z.Meglicki, R.Sumich, L.Faraone and A.Nassibian, Journal of Applied Physics 67 (1990) 7050-7058.

  146. "Simulation of Greenhouse Microclimate Produced by Earth Tube Heat- Exchangers," H.Levit, R.Gaspar and R.Piacentini, Agricultural and Forest Meteorology 47 (1989) 31-47.

  147. "Temperature Effects and their Geological Consequences at Transform Margins," B.Todd and C.Keen, Canadian Journal of Earth Science 26 (1989) 2591-2603.

  148. "Finite-Element Modeling of Polymer Flow and Heat-Transfer in Processing Equipment," C.Dumas and R.Dixit, ACS Symposium Series 404 (1989) 521-536.

  149. "Plasma Deposition of Silicon Nitride Films in a Radial-Flow Reactor," C.Yoo and A.Dixon, AIChE Journal 35 (1989) 995-1002.

  150. "WAVEGIDE--An Interactive Waveguide Program," G.Sewell and S.Cvetkovic, Advances in Engineering Software 11 (1989) 169-175.

  151. "Internal Heating and Thermal Constraints on the Mantle," A.Leitch and D.Yuen, Geophysical Research Letters 16 (1989) 1407-1410.

  152. "Child-Langmuir Sheath Structure around Wedge-Shaped Cathodes," P.Watterson, Journal of Physics D (Applied Physics) 22 (1989) 1300-1307.

  153. "High Heat Flux Cooling for Silicon Hybrid Multichip Packaging," R.Jaeger, J.Goodling, M.Baginski, C.Ellis, N.Williamson and R.O'Barr, IEEE Transactions on Components, Hybrids, and Manufacturing Technology 12, No. 4 (1989) 772-779.

  154. "Experimental and Numerical Characterization of the Radio Frequency Drying of Textile Materials," M.Baginski, L.Riggs, F.German and M.Reed, Journal of Microwave Power and Electromagnetic Energy 24, No. 1, (1989) 14-20.

  155. "Ion-Matrix Sheath Structure around Cathodes of Complex Shape," I.Donnelly and P.Watterson, Journal of Physics D (Applied Physics) 22 (1989) 90-93.

  156. "Dynamic Mixing in Magma Bodies: Theory, Simulations and Implications," C.Oldenburg, F.Spera, D.Yuen and G.Sewell, Journal of Geophysical Research 94 B (1989) 9215-9236.

  157. "A Quasilinear Fokker-Planck Code for the Numerical Solution of the Lower-Hybrid Current-Drive Problem in the Presence of Electron Cyclotron Heating," M.Shoucri, I.Shkarofsky, V.Fuchs, K.Kupfer, A.Bers and S.Luckhardt, Computer Physics Communcations 55 (1989) 253-268.

  158. "Nontidal Tilt and Water Table Variations in a Seismically Active Region in Quebec, Canada," H.Kumpel, J.Peters and D.Bower, Tectonophysics 152 (1988) 253-265.

  159. "Pressure Drop Effects in the Pressurization and Blowdown Steps of Pressure Swing Adsorption," N.Sundaram and P.Wankat, Chemical Engineering Science 43 (1988) 123-129.

  160. "Mathematical Modeling of Chemical Engineering Systems by Finite- Element Analysis Using PDE/PROTRAN," P.Mills and P.Ramachandran, Computers and Mathematics with Applications 15 (1988) 769-794.

  161. "Lightning-Related Fields in the Ionosphere," M.Baginski, L.Hale and J.Olivero, Geophysical Research Letters 15, No. 8 (1988) 764-767.

  162. "Electrical Breakdown of Soil about Earthen Conductors Resulting from Late Time EMP Effects," M.Baginski, L.Riggs and F.German, IEEE Transactions on Electromagnetic Compatibility 30, No. 3, (1988) 380-385.

  163. "The Effect of Interface Disorder on the Eigenvalue Spectrum of Quantum Well Heterostructures," G.Duggan and C.Hellon, Journal of Vacuum Science and Technology B 6 (1988) 1208-1210.

  164. "Airflow Patterns for Various Approximations to Velocity-Pressure- Gradient Data," M.Miketinac, A.Kelm and D.Jayas, Applied Mathematics and Computation 22 (1987) 45-63.

  165. "The Effects of Adiabatic and Viscous Heating on Plumes," W.Zhao and D.Yuen, Geophysical Research Letters 14 (1987) 1223-1226.

  166. "Injection of Indian Crust into Tibetan Lower Crust: A Temperature Dependent Viscous Model," W. Zhao and D.Yuen, Tectonics 6 (1987) 505-514.

  167. "Current to the Ionosphere Following a Lightning Stroke," L.Hale and M.Baginski, Nature 329 (Oct 29, 1987) 814-816.

  168. "The Application of the Finite Element Library TWODEPEP for the Numerical Solution of the Relativistic Fokker-Planck Equation," M.Shoucri, V.Fuchs and A.Bers, Computer Physics Communications 46 (1987) 337-344.

  169. "Graphical Analysis of Air-Flow Distributions in Grain Bins using the Finite Element Method," M.Miketinac, S.Sokhansanj and D.Jayas, Canadian Agricultural Engineering 28 (1986) 23-30.

  170. "Feasibility and Performance Curves for Intermittent Earth Tube Heat Exchangers," V.Puri, Transactions of the ASAE 29 (1986) 526-532.

  171. "A Distributed Parameter System Simulator," M.Aaltonen, J.Tanttu and S.Pohjolainen, Simulation 47 (1986) 145-151.

  172. "Dynamics of Magma Withdrawal from Stratified Magma Chambers," F.Spera, D.Yuen, J.Greer and G.Sewell, Geology 14 (1986) 723-726.

  173. "The Finite Element Solution of a Quasi-linear Elliptic Equation Governing non-Newtonian Flows through Rectangular Ducts," A.Al-Kharafi and D.Evans, Applied Mathematical Modeling 9 (1985) 253-262.

  174. "In-Situ Permeability from Non-Dilatational Soil Deformation Caused by Groundwater Pumping--a Case Study," H.Kumpel and G.Lohr, Journal of Geophysics/Zeitschrift fuer Geophysik 57 (1985) 184-190.

  175. "Velocity-Pressure Distribution in Grain Bins--Brooker's Model," M.Miketinac and S.Sokhansanj, International Journal for Numerical Methods in Engineering 21 (1985) 1067-1075.

  176. "High Rayleigh Number Convection with Strongly Variable Viscosity: A Comparison between Mean Field and Two-Dimensional Solutions," F.Quareni, D.Yuen, G.Sewell and U.Christensen, Journal of Geophysical Research 90 B (1985) 12633-12644.

  177. "A One-dimensional Model for Lower-Hybrid Current Driver Including Perpendicular Dynamics," V.Fuchs, R.Cairns, M.Shoucri, K.Hizanidis, and A. Bers, Phys. Fluids 28 (1985) 3619.

  178. "Numerical Simulation of a Lateral Magnetotransistor," G.Demma and H.Schwarzenbach, Helvatica Physica Acta 57 (1984) 543-547.

  179. "A Model for the Intervalence Transfer Band Profile of Bridged Mixed-Valence Dimers," J.Ko and M.Ondrechen, Chemical Physics Letters 112 (1984) 507-512.

  180. "A Crystal Growth Model with Concentration Dependent Diffusion," M.Saska and A.Myerson, Journal of Crystal Growth 67 (1984) 380-382.

  181. "Water Use by Isolated Trees," J.Landsberg and R.McMurtrie, Agricultural Water Management 8 (1984) 223-242.

  182. "Motion of Two Compressible Fluids with Interface in a Porous Reservoir," R.Wooding and G.Weir, Water Resources Research 20 (1984) 873-886.

  183. "A General-Purpose Finite Element Code for Microwave Transmission- Line Problems," J.Nortier and D.McNamara, Microwave Journal 27, (1984) 109-120.

  184. "Magnetic-Field and Forces of a High-Intensity Permanent Magnet Separator," T.Meinander, Acta Polytech. Sc. AP (138) (1983) 124-131.

  185. "The Role of a Reaction-Diffusion System in the Formation of Hair Fibres," B.Nagorcka and J.Mooney, Journal of Theoretical Biology 98 (1982) 575-607.

Books which contain substantial discussions of PDE2D or earlier versions:

  1. "The Numerical Solution of Ordinary and Partial Differential Equations, second edition," Granville Sewell, John Wiley & Sons 2005 (Appendix A, 50 pages).

  2. "Financial Engineering with Finite Elements," Juergen Topper, John Wiley & Sons 2005 (used throughout book).

  3. "Finite Element Software for Microwave Engineering," Tatsuo Itoh, Giuseppe Pelosi and Peter Silvester, John Wiley & Sons 1996 (pages 472-474)

  4. "Numerical Methods, Software, and Analysis," [2nd edition] John Rice, Academic Press 1993 (pages 546-547)

  5. "The Numerical Solution of Ordinary and Partial Differential Equations," Granville Sewell, Academic Press 1988 (pages 224-227)

  6. "Analysis of a Finite Element Method: PDE/PROTRAN," Granville Sewell, Springer Verlag 1985 (entire book)

  7. "Computing for Engineers and Scientists with Fortran77," Daniel McCracken, John Wiley & Sons 1984 (pages 264-266)