Bibliography for the Finite Difference Method for PDE's

unabridged

 

  1. Finite Difference Schemes and Digital Waveguide Networks for the Wave Equation: Stability, Passivity, and Numerical Dispersion
    Bilbao, S.; Smith, J. O.
    IEEE Transactions on Speech and Audio Processing, 2003, vol. 11, no. 3, pp. 255-266, Ingenta.
  2. A fourth-order finite-difference method for acoustic wave equation on irregular grids
    Oliveira, S. A. M.
    Geophysics, 2003, vol. 68, no. 2, pp. 672-676, Ingenta.
  3. The Homogeneous Finite-Difference Formulation of the P-SV-Wave Equation of Motion
    Slawinski, R. S.; Krebes, E. S.
    Studia Geophysica et Geodaetica, 2002, vol. 46, no. 4, pp. 731-751, Ingenta.
  4. Prestack wave equation datum correction from non-flat surface with finite-difference scheme
    Kai, Y.
    Oil Geophysical Prospecting, 2002, vol. 37, no. 2, pp. 154-162, Ingenta.
  5. Adaptive high-order finite-difference method for nonlinear wave problems.    
    Fatkullin, I.; Hesthaven, J. S.    
    J. Sci. Comput. 16 (2001), no. 1, 47--67, MathSciNet.  
  6. A staggered-grid finite-difference method with perfectly matched layers for poroelastic wave equations
    Yan Qing Zeng; Qing Huo Liu
    Journal of the Acoustical Society of America, v 109, n 6, 2001, p 2571-2580, Compendex.
  7. ADI plus interpolation: Accurate finite-difference solution to 3D paraxial wave equation
    Wang, Y.
    Geophysical Prospecting, v 49, n 5, September, 2001, p 547-556, Compendex.
  8. Finite-difference schemes for nonlinear wave equation that inherit energy conservation property.  
    Furihata, Daisuke
    J. Comput. Appl. Math.  134  (2001),  no. 1-2, 37--57, MathSciNet.  
  9. Shock-wave structure for a binary gas mixture: finite-difference analysis of the Boltzmann equation for hard-sphere molecules
    Kosuge, Shingo; Aoki, Kazuo; Takata, Shigeru
    European Journal of Mechanics, B/Fluids, v 20, n 1, Jan, 2001, p 87-126, Compendex.
  10. Stability criterion for radial wave equation in finite-difference time-domain method
    Potter, M.E.; Okoniewski, M.
    Electronics Letters, v 37, n 8, Apr 12, 2001, p 488-489, Compendex.
  11. Stability analysis of explicit finite difference schemes for the acoustic wave equation with absorbing boundary conditions. (Chinese)
    Shao, Xiu Min; Liu, Zhen
    Math. Numer. Sin. 23 (2001), no. 2, 163--186; translation in Chinese J. Numer. Math. Appl. 23 (2001), no. 3, 1--28, MathSciNet.  
  12. Finite difference approximate solutions for a regular long wave equation. (Chinese)
    Luo, Ming Ying; Shu, Guo Hao; Wang, Dian Zhi
    Sichuan Shifan Daxue Xuebao Ziran Kexue Ban 24 (2001), no. 2, 138--143, MathSciNet.
  13. Comparison of high-accuracy finite-difference methods for linear wave propagation.    
    Zingg, David W.    
    SIAM J. Sci. Comput. 22 (2000), no. 2, 476--502 (electronic), MathSciNet.  
  14. Construction and analysis of higher order finite difference schemes for the 1D wave equation.
    Anné, Laurent; Joly, Patrick; Tran, Quang Huy
    Comput. Geosci. 4 (2000), no. 3, 207--249, MathSciNet.  
  15. Higher-order variational finite difference schemes for solving 3-D paraxial wave equations using splitting techniques
    Becache, Eliane; Collino, Francis; Joly, Patrick
    Wave Motion, v 31, n 2, Feb, 2000, p 101-116, Compendex.  
  16. A new finite difference method for a regularized long-wave equation. (Chinese)
    Zhang, Lu Ming; Chang, Qian Shun
    J. Numer. Methods Comput. Appl. 21 (2000), no. 4, 247--254; translation in Chinese J. Numer. Math. Appl. 23 (2001), no. 1, 58--66, MathSciNet.
  17. Application of nonstandard finite differences to solve the wave equation and Maxwell's equations.
    Cole, James B.
    Applications of nonstandard finite difference schemes (Atlanta, GA, 1999), 109--153, World Sci. Publishing, River Edge, NJ, 2000, MathSciNet.
  18. Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square.
    Zuazua, E.
    J. Math. Pures Appl. (9) 78 (1999), no. 5, 523--563, MathSciNet.  
  19. Finite difference methods for the equal width wave equation.
    Khalifa, A. K.; Raslan, K. R.
    J. Egyptian Math. Soc. 7 (1999), no. 2, 239--249, MathSciNet.
  20. Spatial finite difference approximations for wave-type equations
    Fornberg, Bengt; Ghrist, Michelle
    SIAM Journal on Numerical Analysis, v 37, n 1, Nov-Dec, 1999, p 105-130, Compendex.
  21. Recipe for stability of finite-difference wave-equation computations
    Lines, Larry R.; Slawinski, Raphael; Bording, R. Phillip
    Geophysics, v 64, n 3, May-Jun, 1999, p 967-969, Compendex.
  22. Optimization of finite difference schemes for wave equations
    Ju, Hongbin; Shen, Mengyu
    Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University, v 32, n 7, 1998, p 49-53 Language: Chinese, Compendex.
  23. Note on a Fourth order finite difference scheme for the wave equation
    Qian, Yuehong; Jimenez, Jose
    Journal of Scientific Computing, v 13, n 4, Dec, 1998, p 461-469, Compendex.
  24. Finite difference scheme for traveling wave solutions to Burgers equation
    Mickens, Ronald E.
    Numerical Methods for Partial Differential Equations, v 14, n 6, Nov, 1998, p 815-820, Compendex.
  25. Finite difference methods for the reduced water wave equation.
    Yu, Xiping
    Comput. Methods Appl. Mech. Engrg. 154 (1998), no. 3-4, 265--280, MathSciNet.  
  26. Full wave equation finite difference dip moveout
    Geng, Jianhua; Ma, Zaitian; Wang, Huazhong; Lei, Bing
    Tongji Daxue Xuebao/Journal of Tongji University, v 26, n 4, 1998, p 430-433 Language: Chinese, Compendex.
  27. Boundary conditions for the finite difference beam propagation method based on plane wave solutions of the Fresnel equation
    Lohmeyer, Manfred; Shamonin, Mikhail; Hertel, Peter
    IEEE Journal of Quantum Electronics, v 33, n 2, Feb, 1997, p 279-285, Compendex.
  28. A finite difference method for higher-order nonlinear wave equations. (Chinese)    
    Zhang, Wen Xu; Shen, Long Jun    
    Acta Math. Appl. Sinica 20 (1997), no. 3, 419--430, MathSciNet.  
  29. Construction and analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media  
    Gary Cohen, Patrick Joly
    SIAM Journal on Numerical Analysis, Vol. 33, No. 4. (Aug., 1996), pp. 1266-1302, Jstor.  
  30. A Block Finite Difference Scheme for Second-Order Elliptic Problems with Discontinuous Coefficients  
    Jian Shen  
    SIAM Journal on Numerical Analysis, Vol. 33, No. 2. (Apr., 1996), pp. 686-706, Jstor.  
  31. Finite difference time marching in the frequency domain: a parabolic formulation for the convective wave equation
    Baumeister, K.J.; Kreider, K.L.
    Journal of Vibration and Acoustics, Transactions of the ASME, v 118, n 4, Oct, 1996, p 622-629, Compendex.
  32. Domain decomposition for parallelization of finite difference schemes for parabolic equations in wave propagation
    Marcus, Sherman W.; Degani, David
    Radio Science, v 31, n 4, Jul-Aug, 1996, p 943-954, Compendex.
  33. One-dimensional elastic wave equation: A finite-difference formulation for animated computer applications to full waveform propagation
    Williams, R. Shawn; Rechtien, Richard D.; Anderson, Neil L.
    Computers & Geosciences, v 22, n 3, Apr, 1996, p 253, Compendex.
  34. Exact finite difference schemes for the wave equation with spherical symmetry.
    Mickens, R. E.
    J. Differ. Equations Appl. 2 (1996), no. 3, 263--269, MathSciNet.
  35. Difference approximations for wave equations via finite elements. II. Error analysis
    Card, Curtis L.; Allen, Myron B.
    Numerical Methods for Partial Differential Equations, v 11, n 2, Mar, 1995, p 147, Compendex.
  36. Difference approximations for wave equations via finite elements. I. Construction and performance
    Card, Curtis L.; Allen, Myron B.
    Numerical Methods for Partial Differential Equations, v 11, n 2, Mar, 1995, p 127, Compendex.
  37. Computational analysis of finite difference schemes for the wave equation in heterogeneous media.
    Sei, Alain; Symes, W. W.
    Mathematical and numerical aspects of wave propagation (Mandelieu-La Napoule, 1995), 240--249, SIAM, Philadelphia, PA, 1995, MathSciNet.
  38. Exact finite difference scheme for a spherical wave equation
    Mickens, R.E.
    Journal of Sound and Vibration, v 182, n 2, Apr 27, 1995, p 342, Compendex.
  39. Effective filtering of artifacts for implicit finite-difference paraxial wave equation migration
    Bunks, C.
    Geophysical Prospecting, v 43, n 2, Feb, 1995, p 203-220, Compendex.
  40. Finite difference methods for wave equations with discontinuous coefficients
    LeVeque, Randall J.; Zhang, Chaoming
    Proceedings of Engineering Mechanics, v 2, 1995, p 1038-1041, Compendex.
  41. Accurate finite difference methods for time-harmonic wave propagation.    
    Harari, Isaac; Turkel, Eli    
    J. Comput. Phys. 119 (1995), no. 2, 252--270, MathSciNet.  
  42. Finite-difference method for the third-order simplified wave equation: assessment and application
    Lu, Zhang-Ning; Bansal, Rajeev
    IEEE Transactions on Microwave Theory and Techniques, v 42, n 1, Jan, 1994, p 132-136, Compendex.
  43. Finite difference operators and lattice Schrödinger wave equation.
    Das, A.; Smoczynski, P. Discrete phase space. I.
    Found. Phys. Lett. 7 (1994), no. 1, 21--38, MathSciNet.
  44. Domain decomposition for finite difference solutions of parabolic equations in wave propagation
    Marcus, Sherman W.; Degani, David
    IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), v 3, 1994, p 2088-2091, Compendex.
  45. Outgoing Boundary Conditions for Finite-Difference Elliptic Water-Wave Models  
    Bingyi Xu; Vijay Panchang  
    Proceedings: Mathematical and Physical Sciences, Vol. 441, No. 1913. (Jun. 8, 1993), pp. 575-588
  46. An Error Estimate for a Finite Difference Scheme Approximating a Hyperbolic System of Conservation Laws  
    Aslak Tveito, Ragnar Winther
    SIAM Journal on Numerical Analysis, Vol. 30, No. 2. (Apr., 1993), pp. 401-424, Jstor.  
  47. A treatment of discontinuities for finite difference methods in the two-dimensional case.    
    Mao, De Kang    
    J. Comput. Phys. 104 (1993), no. 2, 377--397, MathSciNet.  
  48. Numerical interfaces in finite difference methods for hyperbolic equations with discontinuous coefficients.    
    Lin, Tao    
    J. Comput. Acoust. 1 (1993), no. 2, 151--184, MathSciNet.  
  49. Accurate finite-difference operators for modelling the elastic wave equation
    Jastram, Cord; Behle, Alfred
    Geophysical Prospecting, v 41, n 4, May, 1993, p 453-458, Compendex.
  50. An eigenvalue problem for a system of finite difference equations approximating a linear water wave equation.
    Matsuki, Mihoko; Ushijima, Teruo
    Japan J. Indust. Appl. Math. 9 (1992), no. 1, 91--116, MathSciNet.
  51. Jacobi Iteration in Implicit Difference Schemes for the Wave Equation   
    D. B. Duncan, M. A. M. Lynch   
    SIAM Journal on Numerical Analysis, Vol. 28, No. 6. (Dec., 1991), pp. 1661-1679, Jstor.  
  52. Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: The Corrected Antidiffusive Flux Approach  
    Frederic Coquel; Philippe Le Floch  
    Mathematics of Computation, Vol. 57, No. 195. (Jul., 1991), pp. 169-210, Jstor.  
  53. A finite difference method for hyperbolic equations.    
    Subba Rao, V.; Zahran, Yousef H.    
    J. Math. Phys. Sci. 25 (1991), no. 4, 331--341, MathSciNet.  
  54. Wave propagation analysis for finite difference solutions of the three-dimensional tidal equations
    Stevens, M.W.; Noye, B.J. Source:
    Computers & Fluids, v 19, n 1, 1991, p 75-91, Compendex.
  55. A generalized image principle for the wave equation with absorbing boundary conditions and applications to fourth order finite difference schemes.
    Ha-Duong, Tuong; Joly, Patrick
    Third International Conference on Hyperbolic Problems, Vol. I, II (Uppsala, 1990), 528--541, Studentlitteratur, Lund, 1991, MathSciNet.
  56. Finite Difference Method for a Two-Sex Model of Population Dynamics  
    Todd Arbogast; Fabio A. Milner  
    SIAM Journal on Numerical Analysis, Vol. 26, No. 6. (Dec., 1989), pp. 1474-1486, Jstor.  
  57. Nonlinear Instability in Dissipative Finite Difference Schemes  
    Andrew Stuart  
    SIAM Review, Vol. 31, No. 2. (Jun., 1989), pp. 191-220, Jstor.  
  58. A finite-difference algorithm for solving a one-dimensional inverse problem for the wave equation. (Russian)
    Satybaev, A. D.; Kabanikhin, S. I.
    Numerical mathematics and modeling in physics (Russian), 65--81, Akad. Nauk SSSR Sibirsk. Otdel., Vychisl. Tsentr, Novosibirsk, 1989, MathSciNet.
  59. An Analysis of a Uniformly Convergent Finite Difference/Finite Element Scheme for a Model Singular-Perturbation Problem  
    Eugene C. Gartland, Jr.  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 93-106, Jstor.  
  60. On the stability of finite-difference schemes of higher-order approximate one-way wave equations.
    Wang, Ying Xing; Zhang, Guan Quan
    J. Comput. Math. 6 (1988), no. 2, 97--110, MathSciNet.
  61. Finite-difference regularization of a linearized inverse problem for the two-dimensional wave equation. (Russian)
    Kabanikhin, S. I.; Satybaev, A. D.
    Conditionally well-posed problems (Russian), 39--57, 141, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1988, MathSciNet.
  62. A finite-difference algorithm for solving a mixed problem for a two-dimensional wave equation. (Russian)
    Kabanikhin, S. I.; Satybaev, A. D.
    Mathematical analysis and differential equations (Russian), 45--52, Novosibirsk. Gos. Univ., Novosibirsk, 1987, MathSciNet.
  63. Stability of Finite Difference Schemes for Two-Point Boundary Value Problems  
    C. De Boor; F. De Hoog  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 5. (Oct., 1986), pp. 925-935, Jstor.  
  64. Sur la convergence des schémas aux différences finies pour l'équation des ondes. (French)
    [The convergence of finite-difference schemes for the wave equation]
    Jovanovi, B. S.; Ivanovi, L. D.; Süli, E. E.
    Z. Angew. Math. Mech. 66 (1986), no. 5, 308--309, MathSciNet.
  65. Stability of Finite-Difference Models Containing Two Boundaries or Interfaces
    Lloyd N. Trefethen
    Mathematics of Computation, Vol. 45, No. 172. (Oct., 1985), pp. 279-300, Jstor.  
  66. The general nonlinear mutual boundary problems for the systems of nonlinear wave equations by finite difference method.
    Zhou, Yu Lin
    J. Comput. Math. 3 (1985), no. 2, 134--160, MathSciNet.
  67. An explicit finite-difference scheme for solving the ocean acoustic parabolic wave equation.
    Peggion, Germana; O'Brien, James J.
    Comput. Math. Appl. 11 (1985), no. 9, 937--942, MathSciNet.
  68. Exact finite difference schemes for the nonlinear unidirectional wave equation.
    Mickens, R. E.
    J. Sound Vibration 100 (1985), no. 3, 452--455, MathSciNet.
  69. A finite difference method for systems of higher-order nonlinear wave equations. (Chinese)
    Guo, Bai Lin; Chang, Qian Shun
    Acta Sci. Natur. Univ. Sunyatseni 1985, no. 3, 54--61, MathSciNet.  
  70. Error Estimates for Finite Difference Approximations to Hyperbolic Equations for Large Time  
    William Layton  
    Proceedings of the American Mathematical Society, Vol. 92, No. 3. (Nov., 1984), pp. 425-431, Jstor.  
  71. Two New Finite Difference Schemes for Parabolic Equations  
    J. R. Cash  
    SIAM Journal on Numerical Analysis, Vol. 21, No. 3. (Jun., 1984), pp. 433-446, Jstor.  
  72. Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation  
    Tony F. Chan  
    SIAM Journal on Numerical Analysis, Vol. 21, No. 2. (Apr., 1984), pp. 272-284., Jstor.  
  73. On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes  
    Ami Harten, Peter D. Lax
    SIAM Journal on Numerical Analysis, Vol. 21, No. 1. (Feb., 1984), pp. 1-23, Jstor.  
  74. Finite difference method for a nonlinear wave equation.    
    Chang, Qian Shun; Guo, Bo Ling    
    J. Comput. Math. 2 (1984), no. 4, 297--304, MathSciNet.  
  75. Applications of energy methods to finite-difference solutions of the parabolic wave equation.
    McDaniel, Suzanne T.
    Computational ocean acoustics (New Haven, Conn., 1984).  Comput. Math. Appl.  11  (1985),  no. 7-8, 823--829, MathSciNet.
  76. Extending the finite difference treatment of interfaces when using the parabolic wave equation.
    Gribble, Jules de G.
    J. Acoust. Soc. Amer. 76 (1984), no. 1, 217--221, MathSciNet.
  77. Green's functions for the finite difference heat, Laplace and wave equations.
    Mugler, Dale H.
    Anniversary volume on approximation theory and functional analysis (Oberwolfach, 1983), 543--554, Internat. Schriftenreihe Numer. Math., 65, Birkhäuser, Basel, 1984, MathSciNet.
  78. On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing  
    Richard Sanders  
    Mathematics of Computation, Vol. 40, No. 161. (Jan., 1983), pp. 91-106, Jstor.  
  79. On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods  
    David Gottlieb; Max Gunzburger; Eli Turkel  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 4. (Aug., 1982), pp. 671-682, Jstor.  
  80. Group Velocity in Finite Difference Schemes  
    Lloyd N. Trefethen  
    SIAM Review, Vol. 24, No. 2. (Apr., 1982), pp. 113-136, Jstor.  
  81. Compact Finite Difference Schemes for Mixed Initial-Boundary Value Problems  
    Richard B. Philips, Milton E. Rose
    SIAM Journal on Numerical Analysis, Vol. 19, No. 4. (Aug., 1982), pp. 698-720, Jstor.  
  82. A finite-difference treatment of interface conditions for the parabolic wave equation: the horizontal interface.
    McDaniel, Suzanne T.; Lee, Ding
    J. Acoust. Soc. Amer. 71 (1982), no. 4, 855--858, MathSciNet.
  83. On a Fourth Order Accurate Implicit Finite Difference Scheme for Hyperbolic Conservation Laws: I. Nonstiff Strongly Dynamic Problems  
    Amiram Harten; Hillel Tal-Ezer  
    Mathematics of Computation, Vol. 36, No. 154. (Apr., 1981), pp. 353-373, Jstor.  
  84. Uniform Expansions for a Class of Finite Difference Schemes for Elliptic Boundary Value Problems  
    Harry Munz  
    Mathematics of Computation, Vol. 36, No. 153. (Jan., 1981), pp. 155-170, Jstor.  
  85. Finite-difference solution to the parabolic wave equation.
    Lee, Ding; Botseas, George; Papadakis, John S.
    J. Acoust. Soc. Amer. 70 (1981), no. 3, 795--800, MathSciNet.
  86. Computation of Steady Shocks by Second-Order Finite-Difference Schemes  
    Lasse K. Karlsen  
    Mathematics of Computation, Vol. 34, No. 150. (Apr., 1980), pp. 391-400, Jstor.  
  87. Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations  
    J. M. Varah  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 2. (Apr., 1980), pp. 300-309, Jstor.  
  88. Error Analysis of Finite Difference Schemes Applied to Hyperbolic Initial Boundary Value Problems  
    Gunilla Skollermo  
    Mathematics of Computation, Vol. 33, No. 145. (Jan., 1979), pp. 11-35, Jstor.  
  89. A Finite Difference Scheme for a System of Two Conservation Laws with Artificial Viscosity  
    David Hoff  
    Mathematics of Computation, Vol. 33, No. 148. (Oct., 1979), pp. 1171-1193, Jstor.  
  90. A finite difference scheme for the regularized long wave equation.
    Goda, Katuhiko
    Numerical analysis of evolution equations (Kyoto, 1978), pp. 135--146, Lecture Notes Numer. Appl. Anal., 1, Kinokuniya Book Store, Tokyo, 1979, MathSciNet.
  91. An implicit, compact, finite difference method to solve hyperbolic equations.    
    Wirz, H. J.; De Schutter, F.; Turi, A.    
    Math. Comput. Simulation 19 (1977), no. 4, 241--261, MathSciNet.   
  92. The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines  
    Blair Swartz; Burton Wendroff  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 5. (Oct., 1974), pp. 979-993, Jstor.  
  93. A fully implicit finite difference approximation to the one-dimensional wave equation using a cubic spline technique.
    Raggett, G. F.; Wilson, P. D.
    J. Inst. Math. Appl. 14 (1974), 75--77, MathSciNet.
  94. Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems  
    S. Abarbanel; D. Gottlieb  
    Mathematics of Computation, Vol. 27, No. 123. (Jul., 1973), pp. 505-523, Jstor.  
  95. A Note on the Stability of an Iterative Finite-Difference Method for Hyperbolic Systems   
    Moshe Goldberg  
    Mathematics of Computation, Vol. 27, No. 121. (Jan., 1973), pp. 41-44, Jstor.  
  96. Stability of a Finite Difference Scheme with "Wrong" Boundary Conditions  
    D. E. Koster  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 6. (Dec., 1973), pp. 1039-1046, Jstor.  
  97. A Characteristic Finite Difference Method for the Wave Equation in Two Dimensions  
    C. M. Ablow
    SIAM Journal on Numerical Analysis, Vol. 9, No. 1. (Mar., 1972), pp. 152-164, Jstor.  
  98. Convergent Finite Difference Schemes for Nonlinear Parabolic Equations  
    Albert C. Reynolds, Jr.  
    SIAM Journal on Numerical Analysis, Vol. 9, No. 4. (Dec., 1972), pp. 523-533, Jstor.  
  99. The general solution of some finite difference equations analogous to the wave equation.
    McKiernan, M. A.
    Aequationes Math. 8 (1972), 263--266, MathSciNet.
  100. A Finite Difference Scheme and an Existence Theorem for a Nonlinear Hyperbolic System of Differential Equations  
    Pierre Jamet  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 3. (Sep., 1971), pp. 524-535, Jstor.  
  101. Some Recent Applications of Asymptotic Error Expansions to Finite-Difference Schemes  
    O. B. Widlund  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 323, No. 1553, A Discussion on Numerical Analysis of Partial Differential Equations. (Jun. 8, 1971), pp. 167-177, Jstor.  
  102. An Iterative Finite-Difference Method for Hyperbolic Systems  
    S. Abarbanel, G. Zwas  
    Mathematics of Computation, Vol. 23, No. 107. (Jul., 1969), pp. 549-565, Jstor.  
  103. Asymptotic Behavior of Solutions to the Finite-Difference Wave Equation  
    Carl E. Pearson
    Mathematics of Computation, Vol. 23, No. 108. (Oct., 1969), pp. 711-715, Jstor.  
  104. Generalized Finite-Difference Schemes  
    Blair Swartz; Burton Wendroff  
    Mathematics of Computation, Vol. 23, No. 105. (Jan., 1969), pp. 37-49, Jstor.  
  105. Finite-Difference Methods for Nonlinear Hyperbolic Systems. II  
    A. R. Gourlay; J. Ll. Morris  
    Mathematics of Computation, Vol. 22, No. 103. (Jul., 1968), pp. 549-556, Jstor.  
  106. Finite-Difference Methods for Nonlinear Hyperbolic Systems  
    A. R. Gourlay; J. Ll. Morris  
    Mathematics of Computation, Vol. 22, No. 101. (Jan., 1968), pp. 28-39, Jstor.  
  107. Some Remarks on the Lax-Wendroff Finite-Difference Scheme for Nonsymmetric Hyperbolic Systems  
    Masaya Yamaguti  
    Mathematics of Computation, Vol. 21, No. 100. (Oct., 1967), pp. 611-619, Jstor.  
  108. On the Construction of Consistent Finite Difference Schemes with Certain Invariant Subspaces  
    Dennis Eisen  
    SIAM Journal on Numerical Analysis, Vol. 4, No. 3. (Sep., 1967), pp. 349-356, Jstor.  
  109. Stability and Convergence of Finite Difference Schemes with Singular Coefficients  
    Dennis Eisen  
    SIAM Journal on Numerical Analysis, Vol. 3, No. 4. (Dec., 1966), pp. 545-552, Jstor.  
  110. A Generalization of the Lax-Richtmyer Theorem on Finite Difference Schemes  
    John Gary  
    SIAM Journal on Numerical Analysis, Vol. 3, No. 3. (Sep., 1966), pp. 467-473, Jstor.  
  111. On Certain Finite Difference Schemes for Hyperbolic Systems  
    John Gray  
    Mathematics of Computation, Vol. 18, No. 85. (Jan., 1964), pp. 1-18, Jstor.  
  112. Finite Difference Schemes for Differential Equations  
    Milton E. Rose  
    Mathematics of Computation, Vol. 18, No. 86. (Apr., 1964), pp. 179-195, Jstor.  
  113. The Structure of Certain Finite Difference Schemes  
    Burton Wendroff  
    SIAM Review, Vol. 3, No. 3. (Jul., 1961), pp. 237-242, Jstor.  
  114. Error Bounds in Finite-Difference Approximation to Solutions of Symmetric Hyperbolic Systems  
    H. F. Weinberger  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 7, No. 1. (Mar., 1959), pp. 49-75, Jstor.  
  115. On the behavior of a solution of a finite-difference analogue of the wave equation. (Russian)
    Kamynin, L. I.
    Prikl. Mat. Meh. 19 (1955), 589--598, MathSciNet.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004