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3. C. A. Kluever, B. Neta, C. D. Hall, and J. M. Hanson, Spaceflight Mechanics 2000,Advances in the Astronautical Sciences, Vol. 105, Univelt, Inc., San Diego, 2000.

4. K. T. Alfriend, B. Neta, K. Luu, and C. A. H. Walker, Spaceflight Mechanics 2002,Advances in the Astronautical Sciences, Vol. 112, Univelt, Inc., San Diego, 2002.

5. John H. Seago, B. Neta, Thomas J. Eller, and Frederic J. Pelletier, Spaceflight Me-chanics 2008, Advances in the Astronautical Sciences, Vol. 130, Univelt, Inc., SanDiego, 2008.

6. B. Neta, Partial Differential Equations MA3132 Lecture Notes, 1996.

7. B. Neta, Partial Differential Equations MA3132, Solution of Problems in Lecture Notes,1996.

8. B. Neta, Numerical Solution of Partial Differential Equations MA3243 Lecture Notes,1996.

9. B. Neta, Numerical Solution of Partial Differential Equations, Solution of Problems inLecture Notes, 1996.

10. B. Neta, Calculus of Variations MA4311, Solution Manual, 1996

PublicationsPublications in Refereed Journals

120. Y. H. Geum, Y. I. Kim, B. Neta, A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points, Ap-plied Mathematics and Computation, submitted for publication.

119. C. Chun, B. Neta, An analysis of Khattri’s 4th order family of methods, AppliedMathematics and Computation, accepted for publication.

118. B. Neta, C. Chun, M. Scott, Corrigendum to “Basins of attraction for optimal eighthorder methods to find simple roots of nonlinear equations”, Applied Mathematics andComputation, accepted for publication.

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117. C. Chun, B. Neta, The basins of attraction of Murakami’s fifth order family of methods,Applied Numerical Mathematics, submitted for publication.

116. C. Chun, B. Neta, Comparison of several families of optimal eighth order methods,Applied Mathematics and Computation, accepted for publication.

115. Y. H. Geum, Y. I. Kim, B. Neta, A class of two-point sixth-order multiple-zero find-ers of modified double-Newton type and their dynamics, Applied Mathematics andComputation, 270, (2015), 387–400.

114. C. Chun, B. Neta, On the new family of optimal eighth order methods developed byLotfi et al., Numerical Algorithms, accepted for publication.

113. C. Chun, B. Neta, Comparing the basins of attraction for Kanwar-Bhatia-Kansal familyto the best fourth order method, Applied Mathematics and Computation, 266, (2015),277–292.

112. C. Chun, B. Neta, Basins of attraction for several third-order methods to find multipleroots of nonlinear equations, Applied Mathematics and Computation, 268, (2015), 129–137.

111. Y. H. Geum, Y. I. Kim, B. Neta, A family of optimal quartic-order multiple-zero finderswith a weight function of the principal kth root of a derivative-to-derivative ratio andtheir basins of attraction, Mathematics and Computers in Simulations, submitted forpublication.

110. C. Chun, B. Neta, An analysis of a King-based family of optimal eighth-order methods,Amer. J. Algorithms and Computing, 2, (2015), 1–17.

109. Y. H. Geum, Y. I. Kim, B. Neta, On developing a higher-order family of double-Newtonmethods with a bivariate weighting function, Applied Mathematics and Computation,254, (2015), 277–290.

108. C. Chun, B. Neta, An analysis of a family of Maheshwari-based optimal eighth ordermethods, Applied Mathematics and Computation, 253, (2015), 294–307.

107. C. Chun, B. Neta, Basins of attraction for Zhou-Chen-Song fourth order family ofmethods for multiple roots, Mathematics and Computers in Simulations, 109, (2015),74–91.

106. C. Chun, B. Neta, An analysis of a new family of eighth-order optimal methods, AppliedMathematics and Computation, 245, (2014), 86–107.

105. B. Neta, C. Chun, Corrigendum to “On a family of Laguerre methods to find multipleroots of nonlinear equations”, Applied Mathematics and Computation, 248, (2014),693-696.

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104. C. Chun, B. Neta, Basins of attraction for several optimal fourth order methods formultiple roots, Mathematics and Computers in Simulations, 103, (2014), 39–59.

103. C. Chun, B. Neta, Sujin Kim, On Jarratt’s family of optimal fourth-order iterativemethods and their dynamics, Fractals, 22, (2014), 1450013, DOI:10.1142/S0218348X14500133.

102. B. Neta, C. Chun, M. Scott, Basins of attraction for optimal eighth order methods tofind simple roots of nonlinear equations, Applied Mathematics and Computation, 227,(2014), 567–592.

101. C. Chun, B. Neta, J. Kozdon, M. Scott, Choosing weight functions in iterative methodsfor simple roots, Applied Mathematics and Computation, 227, (2014), 788–800.

100. B. Neta, C. Chun, M. Scott, On the development of iterative methods for MultipleRoots, Applied Mathematics and Computation, 224, (2013), 358–361.

99. M. S. Petkovic, B. Neta, L. D. Petkovic, J. Dzunic, Multipoint methods for solvingnonlinear equations: a survey, Applied Mathematics and Computation, 226, (2014),635–640.

98. B. Neta, C. Chun, On a family of Laguerre methods to find multiple roots of nonlinearequations, Applied Mathematics and Computation, 219,(2013), 10987–11004.

97. B. Neta, M. Scott, On a family of Halley-like methods to find simple roots of nonlinearequations, Applied Mathematics and Computation, 219, (2013), 7940-7944.

96. T. Jangveladze, Z. Kiguradze, B. Neta, S. Reich, Finite element approximation of anonlinear diffusion model with memory, Numerical Algorithms, 64, (2013), 127–155.

95. B. Neta, M. Scott, C. Chun, Basins of attraction for several methods to find simpleroots of nonlinear equations, Applied Mathematics and Computation, 218, (2012),10548–10556.

94. J. M. Lindquist, B. Neta, F. X. Giraldo, High-order Non-reflecting Boundary Con-ditions for Dispersive Waves in Polar Coordinates Using Spectral Elements, AppliedMathematics and Computation, 218, (2012), 6666–6676.

93. C. Chun, M. Y. Lee, B. Neta, J. Dzunic, On optimal fourth-order iterative methodsfree from second derivative and their dynamics, Applied Mathematics and Computation,218, (2012), 6427–6438.

92. B. Neta, M. Scott, C. Chun, Basin attractors for various methods for multiple roots,Applied Mathematics and Computation, 218, (2012) , 5043–5066, doi:10.1016/j.amc.2011.10.071.

91. B. Neta, C. Chun, M. Scott, A Note on the modified super-Halley method, AppliedMathematics and Computation, 218, (2012), 9575–9577.

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90. Temur Jangveladze, Zurab Kiguradze, Beny Neta, Galerkin Finite Element Methodfor One Nonlinear Integro-Differential Model, Applied Mathematics and Computation,217, (2011), 6883-6892, doi:10.1016/j.amc.2011.01.053.

89. M. S. Petkovic, J. Dzunic, B. Neta, Interpolatory multipoint methods with memoryfor solving nonlinear equations, Applied Mathematics and Computation, 218, (2011),2533–2541 .

88. C. Chun, B. Neta, A new sixth-order scheme for nonlinear equations, Applied Math.Letters, 25, (2012), 185–189, doi:10.1016/j.aml.2011.08.012.

87. M. Scott, B. Neta, C. Chun, Basin attractors for various methods, Applied Mathematicsand Computation, 218, (2011), 2584–2599 , DOI 10.1016/j.amc.2011.07.076.

86. C. Chun, B. Neta, P. Stanica, Third-order family of methods in Banach spaces, Com-puters and Mathematics with Applications, 61, (2011), 1665-1675.

85. B. Neta, Extension of Murakami’s High order nonlinear solver to multiple roots, Inter-national Journal of Computer Mathematics, 8, (2010), 1023-1031, DOI: 10.1080/00207160802272263.

84. J. M. Lindquist, B. Neta, F. X. Giraldo, A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary, WaveMotion, 47, (2010) 289–298, doi:10.1016/j.wavemoti.2009.11.007.

83. T. Jangveladze, Z. Kiguradze, B. Neta, Large time asymptotic and numerical solu-tion of a nonlinear diffusion model with memory, Computers and Mathematics withApplications, 59, (2010), 254–273, doi: 10.1016/j.camwa.2009.07.052.

82. S.G. Li, L. Z. Cheng, B. Neta, Some fourth-order nonlinear solvers with closed formulaefor multiple roots, Computers and Mathematics with Applications, 59, (2010), 126–135,doi: 10.1016/j.camwa.2009.08.066.

81. J. M. Lindquist, F. X. Giraldo, B. Neta, Klein-Gordon equation with advection onunbounded domains using spectral elements and high-order non-reflecting boundaryconditions, Applied Mathematics and Computation, 217, (2010), 2710–2723.

80. B. Neta, M. S. Petkovic, Construction of optimal order nonlinear solvers using inverseinterpolation, Applied Mathematics and Computation, 217, (2010), 2448-2455.

79. T. Jangveladze, Z. Kiguradze, B. Neta, Large time behavior of solutions and finitedifference scheme to a nonlinear integro-differential equation, Computers and Mathe-matics with Applications, 57, (2009), 799–811.

78. C. Chun and B. Neta, A third-order modification of Newton’s method for multipleroots, Applied Mathematics and Computation, 211, (2009), 474-479.

77. J. R. Dea, F. X. Giraldo, B. Neta, High-Order Non-Reflecting Boundary Conditions forthe Linearized 2-D Euler Equations: No Mean Flow Case, Wave Motion, 46, (2009),210–220, doi:10.1016/j.wavemoti.2008.11.002.

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76. T. Jangveladze, Z. Kiguradze, B. Neta, Large Time Behavior of Solutions to a Nonlin-ear Integro-Differential System, J. Math. Anal. Appl., 351, (2009), 382–391, doi:10.1016/j.jmaa.2008.10.016.

75. C. Chun, H. J. Bae, B. Neta, New families of nonlinear third-order solvers for findingmultiple roots, Computers and Mathematics with Applications, 57, (2009), 1574–1582,doi: 10.1016/j.camwa.2008.10.070.

74. T. Jangveladze, Z. Kiguradze, B. Neta, Finite Difference Approximation of a NonlinearIntegro-Differential System, Applied Mathematics and Computation, 215, (2009), 615-628, doi: 10.1016/j.amc.2009.05.061.

73. C. Chun and B. Neta, Certain improvements of Newton’s method with fourth-orderconvergence, Applied Mathematics and Computation, 215, (2009), 821-828.

72. B. Neta, V.J. van Joolen, J. R. Dea, and D. Givoli, Application of high-order Higdonnon-reflecting boundary conditions to linear shallow water models, Communicationsin Numerical Methods in Engineering, 24, (2008), 1459–1466. doi:10.1002/cnm.1044.

71. B. Neta and A. N. Johnson, High order nonlinear solver for multiple roots, Computersand Mathematics with Applications, 55, (2008), 2012–2017.

70. B. Neta, On Popovski’s method for nonlinear equations, Applied Mathematics andComputation, 201, (2008), 710–715, doi:10.1016/j.amc.2008.01.012.

69. B. Neta and A. N. Johnson, High order nonlinear solver, J. Computational Methods inScience and Engineering, 8 No. 4-6, (2008), 245–250.

68. B. Neta, New Third Order Nonlinear Solvers for Multiple Roots, Applied Mathematicsand Computation, 202, (2008), 162–170, doi:10.1016/j.amc.2008.01.031.

67. C. Chun and B. Neta, Some modification of Newton’s method by the method of un-determined coefficients, Computers and Mathematics with Applications, 56, (2008),2528–2538, doi:10.1016/j.camwa.2008.05.005.

66. B. Neta, P-stable High Order Super-Implicit and Obrechkoff Methods for PeriodicInitial Value Problems, Computers and Mathematics with Applications, 54,(2007), 117– 126.

65. B. Neta, Variational Data Assimilation and Optimal Control, Introduction to a specialissue of Computers and Mathematics with Applications, 52 (8-9), (2006), xiii – xv.

64. B. Neta, Variational Data Assimilation and Optimal Control, Editorial for a specialissue of Computers and Mathematics with Applications, 52 (8-9), (2006), xvii – xxi.

63. V. van Joolen, B. Neta, and D. Givoli, High-Order Higdon-Like Boundary Conditionsfor Exterior Transient Wave Problems, International Journal Numerical Methods inEngineering, 63, (2005), 1041–1068.

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62. B. Neta, P-stable Symmetric Super-Implicit Methods for Periodic Initial Value Prob-lems, Computers and Mathematics with Applications, 50, (2005), 701 – 705.

61. V. van Joolen, B. Neta, and D. Givoli, A Stratified Dispersive Wave Model withHigh-Order Non-Reflecting Boundary Conditions, Computers and Mathematics withApplications, 48, (2004), 1167–1180.

60. I. M. Navon, B. Neta, M.Y. Hussaini, A perfectly matched layer approach to the lin-earized shallow water equations models, Monthly Weather Review, 132 No.6, (2004),1369 – 1378.

59. V. van Joolen, B. Neta, and D. Givoli, High-Order Boundary Conditions for LinearizedShallow Water Equations with Stratification, Dispersion and Advection, InternationalJournal Numerical Methods in Fluids, 46(4), (2004), 361–381.

58. B. Neta and T. Fukushima, Obrechkoff versus super-implicit methods for the solutionof first and second order initial value problems, Computers and Mathematics with Ap-plications, special issue on Numerical Methods in Physics, Chemistry and Engineering,T. E. Simos and G. Abdelas (guest editors), 45, (2003), 383–390.

57. D. Givoli, B. Neta, High-Order Non-Reflecting Boundary Conditions for DispersiveWaves, Wave Motion, 37 (2003), 257–271.

56. D. Givoli, B. Neta, High-Order Non-Reflecting Boundary Scheme for Time-DependentWaves, J. Computational Physics, 186, (2003), 24–46.

55. D. Givoli, B. Neta, and Igor Patlashenko, Finite Element Solution of Exterior Time-Dependent Wave Problems with High-Order Boundary Treatment, International Jour-nal Numerical Methods in Engineering, 58, (2003), 1955–1983.

54. D. Givoli and B. Neta, High-Order Non-Reflecting Boundary Conditions for the Dis-persive Shallow Water Equations, J. Computational Applied Mathematics, 158, (2003),49–60.

53. V. van Joolen, D. Givoli, and B. Neta, High-Order Non-Reflecting Boundary Condi-tions for Dispersive Waves in Cartesian, Cylindrical and Spherical Coordinate Systems,International J. Computational Fluid Dynamics, 17(4), (2003), 263–274.

52. B. Neta, Y. Lipowski, A New Scheme for Trajectory Propagation, J. AstronauticalSciences, 50, (2002), 255–268.

51. B. Neta, S. Reich, and H. D. Victory, Galerkin Spectral Synthesis Methods for DiffusionEquations with General Boundary Conditions, Annals of Nuclear Energy, 29, (2002),913–927.

50. J. H. Gordis, and B. Neta, Fast transient analysis for locally nonlinear structures byrecursive block convolution, ASME J. Vibrations and Acoustics, 123, (2001) 545–547.

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49. J. B. Knorr, and B. Neta, Plotting Circularly Polarized Field Patterns Using ProcessedNEC 4 Output Files, Applied Computational Electromagnetic Society Newsletter, 16,No. 2, (2001), 26–33.

48. F. X. Giraldo and B. Neta, Stability Analysis for Eulerian and Semi-Lagrangian FiniteElement Formulation of the Advection-Diffusion Equation, Computers and Mathemat-ics with Applications, 38, (1999), 97–112.

47. B. Neta, and D. Vallado, On Satellite Umbra/Penumbra Entry and Exit Positions, J.Astronautical Sci., 46, (1998), 91–103.

46. B. Neta, F. X. Giraldo and I. M. Navon, Analysis of the Turkel-Zwas Scheme forthe Two-Dimensional Shallow Water Equations in Spherical Coordinates, Journal ofComputational Physics, 133, (1997), 102–112.

45. B. Neta, Parallelization of Satellite Motion Models, SIAM News, 30, November 1997.

44. D. Cersovsky, E. Kleinschmidt, B. Neta and B. Mansager, Audio Detection Algorithmsin Combat Simulations, International J. Mathematical and Computer Modelling, 23,(1996), 65–72.

43. B. Neta, D. Barr, R. Weil, Combat Modelling and Neural Networks in Identificationand Control, Special Issue of International J. Mathematical and Computer Modelling,23, (1996).

42. B. Neta, and J. B. Knorr, Running NEC4 on the Cray at N.P.S., Applied ComputationalElectromagnetic Society Newsletter, 11 No. 3, (1996), 12–15.

41. L. C. Stone, S. B. Shukla, B. Neta, Parallel Satellite Orbit Prediction Using a Work-station Cluster, International J. Computer and Mathematics with Applications, 28,(1994), 1–8.

40. B. Neta, L. Lustman, Parallel Conservative Scheme for Solving the Shallow WaterEquations, Monthly Weather Review, 121, (1993), 305–309.

39. A. Staniforth, R. T. Williams, B. Neta, Influences of Linear Depth Variations onBarotropic Kelvin and Poincare Waves, J. of the Atmospheric Sciences , 50, (1993),929–940.

38. W. E. Phipps, B. Neta, D. A. Danielson, Parallelization of the Naval Space SurveillanceSatellite Motion Model, J. Astronautical Scinces, 41, (1993), 207–216.

37. L. Lustman, B. Neta, W. Gragg, Solution of Ordinary Differential Initial Value Prob-lems on an INTEL Hypercube, Computers and Mathematics with Applications, 23,(1992), 65–72.

36. B. Neta, Analysis of Finite Element and Finite Differences for Shallow Water Equa-tions: A Review, Mathematics and Computers in Simulation, 34, (1992), 141–161.

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35. B. Neta, D. A. Danielson, Parallel Computing May Improve Space Surveillance, ONRNaval Research Review, 44, (1992), 54.

34. L. Lustman, B. Neta, C. P. Katti, Solution of Linear Ordinary Differential Systems onan INTEL Hypercube, SIAM J. on Scientific and Statistical Computing, 12, (1991),1480–1485.

33. P. Nelson, C. P. Katti, B. Neta, Convergence of Inner-Outer Source Iterations withFinite Termination of the Inner Iterations, J. of Integral Equations and Applications,2, (1990), 147–174.

32. B. Neta, Special Methods for Problems whose Oscillatory Solution is Damped, AppliedMathematics and Computation, 31, (1989), 161–169.

31. B. Neta, R. T. Williams, Rossby Wave Frequencies and Group Velocities for Finite Ele-ment and Finite Difference Approximations to the Vorticity-Divergence and the Prim-itive Forms of the Shallow Water Equations, Monthly Weather Review, 117, (1989),1439–1457.

30. B. Neta, I. M. Navon, Analysis of the Turkel-Zwas Scheme for the Shallow-WaterEquations, J. Computational Physics, 81, (1989), 277–299.

29. B. Neta, C. L. DeVito, The Transfer Function Analysis of Various Schemes for the TwoDimensional Shallow-Water equations, Computers and Mathematics with Applications,16, (1988), 111–137.

28. B. Neta, P. Nelson, An Adaptive Method for the Numerical Solution of a FredholmIntegral Equation of the Second Kind. Part I: Regular Kernels, Applied Mathematicsand Computation, 21, (1987), 171–184.

27. B. Neta, Several New Methods for Solving Equations, International J. Computer Math-ematics, 23, (1987), 265–282.

26. B. Neta, Computational Methods in Meteorological Flows, special issue of Computersand Mathematics with Applications, (1987).

25. M. M. Chawla, B. Neta, Families of Two-Step Fourth Order P-Stable Methods for Sec-ond Order Differential Equations, J. Computational Applied Mathematics, 15, (1986),213–223.

24. B. Neta, Families of Backward Differentiation Methods based on Trigonometric Poly-nomials, International J. of Computer Mathematics, 20, (1986), 67–75.

23. B. P. Sommeijer, P. J. van der Houwen, B. Neta, Symmetric Linear Multistep Methodsfor Second Order Differential Equations with Periodic Solutions, Applied NumericalMathematics, 2, (1986), 69–77.

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22. B. Neta, R. T. Williams, Stability and Phase Speed for Various Finite Element For-mulations of the Advection Equation, Computers and Fluids, 14, (1986), 393–410.

21. M. M. Chawla, P. S. Rao, B. Neta, Two-Step Fourth Order P-Stable Methods withPhase-Lag of Order Six for y′′ = f(t, y), J. Computational and Applied Mathematics,16, (1986), 233–236.

20. B. Neta, Hybrid Predictors and Correctors for Solving a Special Class of Second OrderDifferential Equations, Congressus Numerantium, 46, (1985), 241–248.

19. B. Neta, J. O. Igwe, Finite Differences versus Finite Elements for Solving NonlinearIntegro-Differential Equations, J. of Mathematical Analysis and Applications, 112,(1985), 607–618.

18. B. Neta, H. M. Tai, LU Factorization on Parallel Computers, Computers and Mathe-matics with Applications, 11, (1985), 573–579.

17. B. Neta, Higher Order Hybrid Stormer-Cowell Methods for Ordinary Differential Equa-tions, Congressus Numerantium, 42, (1984), 251–264.

16. B. Neta, C. H. Ford, Families of Methods for Ordinary Differential Equations Based onTrigonometric Polynomials, J. Computational and Applied Mathematics, 10, (1984),33–38.

15. B. Neta, H. D. Victory, A Higher Order Method for Determining Nonisolated Solutionsof a System of Nonlinear Equations, Computing, 32, (1984), 163–166.

14. B. Neta, S. C. Lee, Hybrid Methods for a Special Class of Second-Order DifferentialEquations, Congressus Numerantium, 38, (1983), 203–225.

13. B. Neta, H. D. Victory, A New Fourth Order Finite-Difference Method for SolvingDiscrete-Ordinate Slab Transport Equations, SIAM J. on Numerical Analysis, 20,(1983), 94–105.

12. H. D. Victory, B. Neta, A Higher Order Method for Multiple Zeros of Nonlinear Func-tions, International J. Computer Mathematics, 12, (1983), 329–335.

11. B. Neta, A New Family of Higher Order Methods for Solving Equations, InternationalJ. Computer Mathematics, 14, (1983), 191–195.

10. B. Neta, Numerical Solution of a Nonlinear Integro-Differential Equation, J. of Math-ematical Analysis and Applications, 89, (1982), 598–611.

9. B. Neta, H. D. Victory, The Convergence Analysis for Sixth-Order Methods for Solv-ing Discrete-Ordinate Slab Transport Equations, Numerical Functional Analysis andOptimization, 5, (1982), 85–126.

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8. B. Neta, H. D. Victory, On the Development of a Convergence Theory of SynthesisMethods for Solving Diffusion Equations, Progress in Nuclear Energy, 8, (1981),283–293.

7. B. Neta, On a Family of Multipoint Methods for Nonlinear Equations, InternationalJ. Computer Mathematics, 9, (1981), 353–361.

6. B. Neta, Note on Error Analysis for the Spectral Synthesis Method with Interfaces,Zeitschrift fur Angewandte Mathematik und Physik, 32, (1981), 603–608.

5. B. Neta, On 3 Inequalities, Computers and Mathematics with Applications, 6, (1980),301–304.

4. B. Neta, On Determination of Best-Possible Constants in Integrals Inequalities Involv-ing Derivatives, Mathematics of Computations, 35, (1980), 1191–1193.

3. B. Neta, A Sixth-Order Family of Methods for Nonlinear Equations, International J.Computer Mathematics, 7, (1979), 157–161.

2. B. Neta, Finite Element Approximation of a Nonlinear Parabolic Problem, Computersand Mathematics with Applications, 4, (1978), 247–255.

1. B. Neta, G. J. Fix, Finite Element Approximation of a Nonlinear Diffusion Problem,Computers and Mathematics with Applications, 3, (1977),287–298.

Refereed Conference Proceedings Articles

37. Jangveladze T., Kiguradze Z., Neta B., Investigation and numerical resolution ofinitial-boundary value problems with mixed boundary conditions for nonlinear integro-differential system, International Conference Continuum Mechanics and Related Prob-lems of Analysis, September 9-14, 2011, Tbilisi, Georgia.

36. B. Neta, F. X. Giraldo, J. M. Lindquist, Spectral element solution of the Klein-Gordonequation on an infinite channel with high-order boundary treatment, Proc. 15th Inter-national Conference on Finite Elements in Flow Problems (FEF09), 1–3 April 2009,Chuo University, Tokyo, Japan.

35. Jangveladze T., Kiguradze Z., Neta B., Large Time Behavior of Solutions and FiniteDifference Scheme to a Nonlinear Integro-Differential System, International Confer-ence dedicated to 90th anniversary of Iv. Javakhishvili, Tbilisi State University (TSU),September, 26-28, 2008 and 40th anniversary of I. Vekua Institute of Applied Mathe-matics (VIAM), October, 7-9, 2008.

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34. J.G. Taylor, B. Neta, and P.A. Shugart, An Analytical Model That Provides Insightsinto Various C2 Architectures, especially those being considered for transformationsystems, Proceedings of the 2004 Command and Control Research and TechnologySymposium, San Diego, CA, June 2004.

33. D. Givoli, B. Neta, and V.J. van Joolen, Application of Higdon non-reflecting boundaryconditions to shallow water models, in Proceedings ICOSAHOM 2004, Brown Univer-sity, Providence, RI, 21-25 June (T. Hagstrom and T. Warburton)

32. V. van Joolen, B. Neta, and D. Givoli, High-Order Non-Reflecting Boundary Condi-tions for Dispersive Wave Problems in Stratified Media, Proceeding of the Sixth Interna-tional Conference on Computer Modelling and Experimental Measurements of Seas andCostal Regions, Cadiz, Spain, 23-25 June 2003, (C.A.Brebbia, D.Almorza andF. Lopez−Aguayo, eds), pp. 73-82.

31. D. Givoli and B. Neta, High-Order Non-Reflecting Boundary Conditions for DispersiveWave Problems, Proceeding of the International Conference on Computational andMathematical Methods in Science and Engineering, Alicante, Spain, 20-25 September2002.

30. B. Neta, Y. Ilan-Lipowski, A new scheme for trajectory propagation, Proc. AIAA/AASAstrodynamics Specialist Conference, Quebec City, Quebec, Canada, July 31 - August3, 2001, Paper Number AAS 01-446.

29. D. Mortari, and B. Neta, k-vector range searching techniques, Proc. AAS/AIAA SpaceFlight Mechanics Meeting, Clearwater, FL, January 23-26, 2000, Paper Number AAS00-128.

28. J. R. Clynch, R. Franke and B. Neta, Improvements In Dynamic GPS Positions UsingTrack Averaging, Proc. ION Tech. Meeting, January 26-28, 2000, Anaheim, CA.

27. B. Neta and T. Fukushima, Obrechkoff versus super-implicit methods for the inte-gration of keplerian orbits, Proc. AIAA/AAS Astrodynamics Specialist Conference,Denver, CO, August 14-17, 2000, Paper Number AIAA 2000-4029.

26. J. Gordis and B. Neta, An adaptive method for the numerical solution of Volterraintegral equations, Recent Advances in Applied and Theoretical Mathematics, N. Mas-torakis, editor, World Scientific and Engineering Society International Conference,Athens, Greece, December 1-3, 2000, pp. 1–8.

25. D. Mortari, and B. Neta, Optimal best fitting of numerical data: Part II, Proc.AAS/AIAA Space Flight Mechanics Meeting, Breckenridge, CO, February 7-10, 1999,Paper Number AAS 99-183. Advances in the Astronautical Sciences, Vol. 102, R. H.Bishop et al (eds).

24. J. H. Gordis, and B. Neta, Fast transient analysis for locally nonlinear structures byrecursive block convolution, Proc. 70th Shock and Vibration Symposium, Albuquerque,NM, November 15-19, 1999.

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23. B. Neta, Trajectory Propagation Using Information on Periodicity, Proc. AIAA/AASAstrodynamics Specialist Conference, Boston, MA, August 10-12, 1998, Paper NumberAIAA 98-4577.

22. B. Neta, and D. Vallado, On Satellite Umbra/Penumbra Entry and Exit Positions,Proc. AAS/AIAA Space Flight Mechanics Meeting, Huntsville, AL, February 10-12,1997, Paper Number AAS 97-155.

21. F. X. Giraldo and B. Neta, A Comparison of a Family of Eulerian and Semi-LagrangianFinite Element Methods for the Advection-Diffusion Equation, in Computer Modellingof Seas and Coastal Regions III, J. R. Acinas and C. A. Brebbia (eds), ComputationalMechanics Publications, Southampton, U. K., (1997), 217–229.

20. B. Neta, Parallel Version of Special Perturbations Orbit Propagator, Proc. AAS/AIAAAstrodynamics Specialist Conference, Sun Valley, ID, August 4-7, 1997, Paper Number97-688.

19. B. Neta, C. P. Sagovac, D. A. Danielson, and J. R. Clynch, Fast Interpolation forGlobal Positioning System (GPS) Satellite Orbits, Proc. AIAA/AAS AstrodynamicsSpecialist Conference, San Diego, CA, July 29-31, 1996, Paper Number AIAA 96-3658.

18. D. J. Fonte, B. Neta, C. Sabol, D. A. Danielson and W. R. Dyar, Comparison of Or-bit Propagators in the Research and Development Goddard Trajectory DeterminationSystem (R & D GTDS). Part I: Simulated Data, Proc. AAS/AIAA AstrodynamicsSpecialist Conference, Halifax, Nova Scotia, August 14-17, 1995, Paper Number AAS95-431.

17. B. Neta, D. A. Danielson, S. Ostrom, S. K. Brewer, Performance of Analytic OrbitPropagator on a Hypercube and a Workstation Cluster, Proc. AIAA/AAS Astrody-namics Specialist Conference, in Scottsdale, AZ, August 1-3 (1994) Paper NumberAIAA 94-3706.

16. B. Neta, R. Thanakij, Finite Element Approximation of the Shallow Water Equationson the MASPAR, in Advances in Finite Element Analysis in Fluid Dynamics, FED-Vol.171, M. N. Dhaubhadel, M. S. Engleman, W. G. Habashi, (eds), (1993), 47–52.

15. B. Neta, Parallel Solution of Initial Value Problems, Proc. Fourth International Collo-quium on Differential Equations, D. Bainov, V. Covachev, A. Dishliev (eds), Plovdiv,Bulgaria, 18-23 August 1993, 2, (1993), 19–42.

14. W. Phipps, B. Neta, D. A. Danielson, Parallelization of the Naval Space SurveillanceCenter Satellite Motion Model, Proc. of the 1993 Space Surveillance Workshop, M.I.T.Lincoln Laboratory, Lexington, MA, March 30 - April 1, 1993, R. W. Miller, R. Srid-haran (eds), 2, (1993), 71–79.

13. B. Neta, Solution of Ordinary Differential Initial Value Problems on an INTEL Hyper-cube with Applications to Orbit Determination, Proc. of the 1992 Space Surveillance

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Workshop, M.I.T. Lincoln Laboratory, Lexington, MA, April 7-9, 1992, A. J. Costerand K. P. Schwan (eds), 1, (1992), 205–208.

12. B. Neta and I. M. Navon, Analysis of the Turkel Zwas Scheme for the Shallow WaterEquations on the Sphere, Proc. 13th IMACS World Congress on Scientific Computa-tion, Dublin, Ireland, July 22-26, 1991, R. Vichnevetsky and J. J. H. Miller (eds), 1,(1991), 305–306.

11. B. Neta, R. T. Williams, Analysis of Finite Element Methods for the Solution of theVorticity-Divergence Form of the Shallow Water Equations, in Numerical Methods inFluid Dynamics, Proc. International Symposium on Computational Fluid Dynamics,Nagoya, Japan, August 28-31, 1989 (M. Yasuhara, H. Daiguji, K. Oshima, eds), JapanSociety of Comp. Fluid Dynamics, (1990), 402–407.

10. R. T. Williams, B. Neta, A Comparative Study of Finite Elements and Finite Dif-ferences for Weather Prediction, Proc. Fifth International Symposium on NumericalMethods in Engineering, Lausanne, Switzerland, September 11-15, 1989, R. Gruber, J.Periaux and R. P. Shaw, (eds), 1, (1989), 659–669.

9. B. Neta, Analysis of Finite Element and Finite Differences for Shallow Water Equa-tions, Seminar on Finite Element Fluid Flow Analysis, Chuo University, Tokyo, Japan,24 August 1989.

8. B. Neta, Analysis of the Turkel-Zwas Scheme for the Shallow Water Equations, Nu-merical and Applied Mathematics W. F. Ames (ed) Proc. 12th IMACS World Congresson Scientific Computation, Paris, France, July 18-22, 1 sec. 3, (1989), 257–264.

7. B. Neta, The Effect of Spatial Discretization on the Steady-State Solution of the Shal-low Water Equations, Computational Methods in Flow Analysis, Proc. InternationalConference on Computational Methods in Flow Analysis, Okayama, Japan, September4-8 (H. Niki and M. Kawahara, eds.), 2, (1988),1041–1048.

6. I. M. Navon and B. Neta, Application of Optimal Control Methods in Meteorology- 4-DData Assimilation Problems, ICIAM–87: Proceedings of the First International Con-ference on Industrial and Applied Mathematics, James McKenna and Roger Temam(eds), SIAM, Philadelphia, (1988), 282–284.

5. B. Neta, R. T. Williams, Finite Elements versus Finite Differences for Fluid FlowProblems, Proc. International Conf. Numer. Meth. Engnrg: Theory and ApplicsVol. II Transient Dynamic Anal. and Constitutive Laws for Engnrg Materials , G. N.Pande, J. Middleton (eds) Martinus Nijhoff Pub., (1987), T11, pp. 1–8.

4. B. Neta, R. T. Williams, D. E. Hinsman, Studies in a Shallow Water Fluid Model withTopography, in Numerical Mathematics and Applications (R. Vichnevetsky, J. Vignes,eds.), Elsevier Sci. Pub., (1986), 347–354.

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3. B. Neta, Adaptive Method for the Numerical Solution of Fredholm Integral Equationsof the Second Kind. Part II: Singular Kernels in Numerical Solution of Singular In-tegral Equations, Proc. of an IMACS International Symposium, Lehigh University,Bethlehem, PA, June 21-22, 1984, (A. Gerasoulis, R. Vichnevetsky, eds.), pp.68–72.

2. B. Neta, Higher Order Methods for Solving Algebraic Equations, Proc. SouthwesternLouisiana University Applied Analysis Conference, (1982).

1. B. Neta, A New Iterative Method for the Solution of Systems of Nonlinear Equations,Approximation Theory and Applications (Z. Ziegler, ed.), Academic Press, (1981), pp.249–263.

Reports and Book Reviews

1. B. Neta, Note on Error Analysis for the Spectral Synthesis Method with Interfaces,Technical Report INTT-12, Institute for Numerical Transport Theory, Texas TechUniversity, Lubbock, TX, 1981.

2. B. Neta, H. D. Victory, A New Fourth Order Finite-Difference Method for SolvingDiscrete-Ordinate Slab Transport Equations, Technical Report INTT-17, Institute forNumerical Transport Theory, Texas Tech University, Lubbock, TX, 1981.

3. B. Neta, Numerical Solution of a Nonlinear Integro-Differential Equation, TechnicalReport INTT-21, Institute for Numerical Transport Theory, Texas Tech University,Lubbock, TX, 1982.

4. B. Neta, H. D. Victory, The Convergence Analysis for Sixth-Order Methods for SolvingDiscrete-Ordinate Slab Transport Equations, Technical Report INTT-20, Institute forNumerical Transport Theory, Texas Tech University, Lubbock, TX, 1982.

5. H. D. Victory, B. Neta, A Higher Order Method for Multiple Zeros of Nonlinear Func-tions, Technical Report INTT-19, Institute for Numerical Transport Theory, TexasTech University, Lubbock, TX, 1982.

6. M. M. Chawla, B. Neta, A New Class of Linearly Implicit Single-Step P-Stable Meth-ods for Second Order Initial-Value Problems, Technical Report INTT-28, Texas TechUniversity, Lubbock, TX, 1983.

7. B. Neta, Review of Methods for Numerical Mathematics by G. I. Marchuk (Trans.by A. A. Brown), Springer-Verlag, New york, 1982, Transport Theory and StatisticalPhysics, 13, (1984), 663–665.

8. B. Neta, B. P. Sommeijer, P. J. van der Houwen, Symmetric Linear Multistep Methodsfor Second Order Differential Equations with Periodic Solutions, Report NM-R8501,Center for Mathematics and Computer Science, Amsterdam, The Netherlands, 1985.

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9. B. Neta, Special Methods for Problems whose Oscillatory Solution is Damped, NPS–53–86–012, Technical Report Naval Postgraduate School, Monterey, CA, 1986.

10. B. Neta, I. M. Navon, The Transfer Function Analysis of the Turkel-Zwas Schemefor the Shallow-Water equations, FSU–SCRI–87–30, Technical Report Florida StateUniversity, Tallahassee, FL, 1987.

11. B. Neta, Review of Finite Element Analysis for Undergraduate by J. E. Akin, AcademicPress, 1986, Math. Reviews, (1988), MR0875413.

12. B. Neta, Y. Ilan-Lipowski, A New Conservative Scheme for Solving the Two BodyProblem, NPS–53–88–009, Technical Report Naval Postgraduate School, Monterey,CA, 1988.

13. B. Neta, C. P. Katti, Solution of Linear Initial Value Problems on a Hypercube, NPS–53–89–001, Technical Report Naval Postgraduate School, Monterey, CA, 1989.

14. W. Gragg, B. Neta, Fortran Subroutines for the Evaluation of the Confluent Hyper-geometric Functions, NPS–53–89–014, Technical Report Naval Postgraduate School,Monterey, CA, 1989.

15. B. Neta, N. Okamoto, On Domain Decomposition Methods for Solving Partial Dif-ferential Equations, NPS–MA–90–004, Technical Report Naval Postgraduate School,Monterey, CA, 1990.

16. B. Neta, I. M. Navon, J. Yu, Analysis of the Turkel Zwas Scheme for the Two Dimen-sional Shallow Water Equations in Spherical Coordinates, FSU–SCRI–90–91, TechnicalReport Florida State University, Tallahassee, FL, 1990.

17. L. Lustman, B. Neta, Software for the Parallel Solution of Systems of Ordinary Dif-ferential Equations, NPS–MA–91–009, Technical Report Naval Postgraduate School,Monterey, CA, 1991.

18. L. Lustman, B. Neta, Software for the parallel Conservative Scheme for the Shal-low Water equations, NPS–MA–92–004, Technical Report Naval Postgraduate School,Monterey, CA, 1992.

19. B. Neta, B. Mansager, Audio Detection Algorithms, NPS–MA–92-008, Technical Re-port Naval Postgraduate School, Monterey, CA, 1992.

20. B. Neta, Review of Optimal control of nonsmooth distributed parameter systems byTiba D., Springer-Verlag New York, Inc., New York, NY, 1990, Computing Reviews,(1992), CR115325.

21. B. Neta, R. Thanakij, Finite Element Approximation of the Shallow Water Equationson the MASPAR, NPS-MA-93-014, Technical Report Naval Postgraduate School, Mon-terey, CA, 1993.

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22. B. Neta, Review of Time-Variant Systems and Interpolation, edited by I. Gohberg,Birkhauser, 1992, Computing Reviews, (1993), CR116886.

23. B. Neta, Review of Multilevel projection methods for partial differential equations byMcCormick, Stephen F., CBMS-NSF Regional Conference Series in Applied Mathe-matics, 62, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA,1992, Math. Reviews, (1993), MR1146209.

24. B. Neta and B. Mansager, Benefit of Sound Cueing in Combat Simulation, NPS-MA-94-003, Technical Report Naval Postgraduate School, Monterey, CA, 1994.

25. D. A. Danielson, B. Neta, and L. W. Early, Semianalytic Satellite Theory (SST): Math-ematical Algorithms, NPS–MA–94-001, Technical Report Naval Postgraduate School,Monterey, CA, 1994.

26. D. A. Danielson, C. P. Sagovac, B. Neta, and L. W. Early, Semianalytic SatelliteTheory (SST): Mathematical Algorithms, NPS–MA–95-002, Technical Report NavalPostgraduate School, Monterey, CA, 1995.

27. F. X. Giraldo and B. Neta, Finite Element Approximation of Large Air PollutionProblems I: Advection, NPS–MA–95-005, Technical Report Naval Postgraduate School,Monterey, CA, 1995.

28. C. P. Sagovac, D. A. Danielson, J. R. Clynch, and B. Neta, Fast Interpolation forGlobal Positioning System (GPS) Satellite Orbit, NPS–MA–95-006, Technical ReportNaval Postgraduate School, Monterey, CA, 1995.

29. F. X. Giraldo, B. Neta and C. P. Katti, Parallel Solutions of Tridiagonal and Pen-tadiagonal Systems, NPS–MA–95-007, Technical Report Naval Postgraduate School,Monterey, CA, 1995.

30. F. X. Giraldo and B. Neta, Software for the Staggered and Unstaggered Turkel-ZwasSchemes for the Shallow Water Equations on the Sphere, NPS–MA–95–008, TechnicalReport Naval Postgraduate School, Monterey, CA, 1995.

31. B. Neta, and D. A. Danielson, R & D GTDS SST: Code Flowcharts and Input, NPS–MA–95-009, Technical Report Naval Postgraduate School, Monterey, CA, 1995.

32. B. Neta, and D. Vallado, On Satellite Umbra/Penumbra Entry and Exit Positions,NPS–MA–96-005, Technical Report Naval Postgraduate School, Monterey, CA, 1996.

33. B. Neta Review of Domain-based parallelism and problem decomposition methods incomputational science and engineering, Edited by David E. Keyes, Youcef Saad andDonald G. Truhlar, Society for Industrial and Applied Mathematics (SIAM), Philadel-phia, PA, 1995, Math. Reviews, (1996), MR1332729.

34. J. B. Knorr and B. Neta, Signal Processing for Aperture Antenna Beam Compression,NPS–EC–98-016, Technical Report Naval Postgraduate School, Monterey, CA, 1998.

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35. B. Neta, Parallel Version of Special Perturbations Orbit Propagator, NPS–MA–98-003,Technical Report Naval Postgraduate School, Monterey, CA, 1998.

36. J. R. Clynch, R. Franke and B. Neta, Improvements In Dynamic GPS Positions Us-ing Track Averaging, NPS–MA–99-004, Technical Report Naval Postgraduate School,Monterey, CA, 1999.

37. J. H. Gordis and B. Neta, Efficient Nonlinear Transient Dynamic Analysis for Struc-tural Optimization Using an Exact Integral Equation Formulations, NPS–ME–99-009,Technical Report Naval Postgraduate School, Monterey, CA, 1999.

38. J. G. Taylor and B. Neta, Support of JCATS Limited V&V, NPS–MA–01-001, Tech-nical Report Naval Postgraduate School, Monterey, CA, 2001.

39. J. G. Taylor and B. Neta, Explicit Analytical Expressions for a Lanchester Attrition-Rate Coefficients, Working Paper No. 5, Defense Threat Reduction Agency (DTRA)Project, MOVES Academic Group, Naval Postgraduate School, Monterey, CA, July2001.

40. I. M. Navon, B. Neta, M. Y. Hussaini, A Perfectly Matched Layer Formulation forthe Nonlinear Shallow Water Equations Models: The Split Equation Approach, FSU–CSIT–01–41, Technical Report Florida State University, Tallahassee, FL, 2001.

41. B. Neta, Review of Multigrid by U. Trottenberg, C. W. Oosterlee and A. Schuller,Academic Press, 2001, Computing Reviews, (2001), CR125533.

42. B. Neta, Review of A multigrid tutorial (2nd ed.) by Briggs W., Henson V., McCormickS., Society for Industrial and Applied Mathematics, Philadelphia, PA, 2000, ComputingReviews, (2001), CR124078.

43. D. Givoli, B. Neta, High-Order Higdon Non-Reflecting Boundary Conditions for theShallow Water Equations, NPS–MA–02-001, Technical Report Naval PostgraduateSchool, Monterey, CA, 2002.

44. B. Neta, Review of Multiresolution Signal Decomposition by A. N. Akansu and R. A.Haddad, second edition, Academic Press, 1992, Computing Reviews, (2002), CR125858.

45. B. Neta, Review of Stability Estimates for Hybrid Coupled Domain DecompsoitionMethods by O. Steinbach,, Lecture Notes in Mathematics 1809, Springer-Verlag, Berlin,2003, Math. Reviews, (2005), MR 1962948.

46. J. R. Dea, F. X. Giraldo, B. Neta, High-Order Higdon Non-Reflecting Boundary Con-ditions for the Linearized Euler Equations, NPS–MA–07-001, Technical Report NavalPostgraduate School, Monterey, CA, 2007.

47. B. Neta, Review of Understanding and Implementing the Finite Element Method by M.S. Gockenbach, SIAM, 2006, Math. Reviews, (2007), MR 2256926.

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48. B. Neta, Review of Numerical Treatment of Partial Differential Equations by ChristianGrossmann, Hans-Gorg Roos, and Martin Stynes, Springer, 2007, Math. Reviews,(2009), MR 2362757.

49. B. Neta, J. M. Lindquist, F. X. Giraldo, Analytic Solutions of the Klein-Gordon Equa-tion in a Semi-Infinite Channels, NPS–MA–09-002, Technical Report Naval Postgrad-uate School, Monterey, CA, 2009.

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