Bibliography for Elliptic PDE's

unabridged

 

  1. Numerical solution of elliptic partial differential equation using radial basis function neural networks
    Jianyu, Li; Siwei, Luo; Yingjian, Qi; Yaping, Huang
    Neural Networks, v 16, n 5-6, June/July, 2003, p 729-734, Compendex.
  2. Numerical methods for elliptic partial differential equations with rapidy oscillating coefficients
    Conca, C.; Natesan, S.
    Computer Methods in Applied Mechanics and Engineering, v 192, n 1-2, Jan 3, 2003, p 47-76, Compendex.
  3. Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations.  
    Maday, Yvon; Patera, Anthony T.; Turinici, G.
    C. R. Math. Acad. Sci. Paris  335  (2002),  no. 3, 289--294, MathSciNet.  
  4. On solving elliptic stochastic partial differential equations
    Babuska, Ivo; Chatzipantelidis, Panagiotis
    Computer Methods in Applied Mechanics and Engineering, v 191, n 37-38, Aug 16, 2002, p 4093-4122, Compendex.
  5. Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
    Friedman, M.J.; Kansa, E.J.; Fedoseyev, Alex I.
    Computers and Mathematics with Applications, v 43, n 3-5, February/March, 2002, p 439-455, Compendex.
  6. Symbolic computation of high order compact difference schemes for three dimensional linear elliptic partial differential equations with variable coefficients
    Ge, Lixin; Zhang, Jun
    Journal of Computational and Applied Mathematics, v 143, n 1, Jun 1, 2002, p 9-27, Compendex.
  7. Parallel implementation of an optimal two level additive Schwarz preconditioner for the 3-D finite element solution of elliptic partial differential equations
    Nadeem, S.A.; Jimack, P.K.
    International Journal for Numerical Methods in Fluids, v 40, n 12, Dec 30, 2002, p 1571-1579, Compendex.
  8. A weakly overlapping domain decomposition preconditioner for the finite element solution of elliptic partial differential equations.
    Bank, Randolph E.; Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyaschikh, Sergei V.
    SIAM J. Sci. Comput. 23 (2002), no. 6, 1817--1841 (electronic), MathSciNet.  
  9. Stability of classes of mappings and Holder continuity of the higher derivatives of solutions to elliptic systems of nonlinear partial differential equations of arbitrary order
    Kopylov, A.P.
    Doklady Akademii Nauk, v 379, n 4, 2001, p 442-447, Compendex.
  10. A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations
    Bank, R.E.; Jimack, P.K.
    Concurrency Computation Practice and Experience, v 13, n 5, 2001, p 327-350, Compendex.
  11. Hamiltonian circuited simulations of elliptic partial differential equations using a spark
    Hirowati Shariffudin, R.; Abdullah, A.R.
    Applied Mathematics Letters, v 14, n 4, May, 2001, p 413-418, Compendex.
  12. Priori estimates for a quasilinear elliptic partial differential equations non-positone problems
    Yang, Zuodong; Yang, Huisheng
    Nonlinear Analysis, Theory, Methods and Applications, v 43, n 2, Oct, 2001, p 173-181, Compendex.
  13. Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: A model problem
    Brezzi, Franco; Hughes, Thomas J.R.; Suli, Endre
    Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, v 12, n 3, 2001, p 159-166, Compendex.
  14. First-order system LL* (FOSLL*): Scalar elliptic partial differential equations
    Cai, Z.; Manteuffel, T.A.; Ruge, J.; McCormick, Stevem F.
    SIAM Journal on Numerical Analysis, v 39, n 4, September/December, 2001, p 1418-1445, Compendex.
  15. Technical note: a fourth-order finite difference scheme for a system of 2D nonlinear elliptic partial differential equations.    
    Saldanha, Godfrey    
    Numer. Methods Partial Differential Equations 17 (2001), no. 1, 43--53, MathSciNet.   
  16. An efficient double Legendre spectral method for parabolic and elliptic partial differential equations.
    Doha, E. H.; Al-Kholi, F. M. R.
    Int. J. Comput. Math. 78 (2001), no. 3, 413--432, MathSciNet.  
  17. Numerical solution of elliptic partial differential equations by Bloch waves method. XVII
    Conca, Carlos; Natesan, Srinivasan; Vanninathan, Muthusamy
    CEDYA: Congress on Differential Equations and Applications/VII CMA: Congress on Applied Mathematics (Spanish) (Salamanca, 2001), 63--83, Dep. Mat. Apl., Univ. Salamanca, Salamanca, 2001, MathSciNet.  
  18. Output bounds for reduced-order approximations of elliptic partial differential equations.
    Machiels, L.; Maday, Y.; Patera, A. T.
    Comput. Methods Appl. Mech. Engrg. 190 (2001), no. 26-27, 3413--3426, MathSciNet.  
  19. First-order system: scalar elliptic partial differential equations.
    Cai, Z.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
    SIAM J. Numer. Anal. 39 (2001), no. 4, 1418--1445 (electronic), MathSciNet.  
  20. Positive solutions for a nonlinear elliptic partial differential equation
    Chen, Z.; Shen, Y.
    Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science), v 29, n 3, March, 2001, p 9-12 Language: Chinese, Compendex. .  
  21. Optimal control of a system governed by an elliptic partial differential equation
    Kostreva, M.M.; Ward, A.L.
    Journal of Computational and Applied Mathematics, v 114, n 1, Jan, 2000, p 173-187, Compendex.
  22. Estimation of discontinuous parameters of elliptic partial differential equations by regularization for surface representations.
    Kindermann, Stefan; Neubauer, Andreas
    Special issue to celebrate Pierre Sabatier's 65th birthday (Montpellier, 2000). Inverse Problems 17 (2001), no. 4, 789--803, MathSciNet.  
  23. Circumventing the Ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations
    Kansa, E.J.; Hon, Y.C.
    Computers and Mathematics with Applications, v 39, n 7-8, Apr, 2000, p 123-137, Compendex.
  24. Solution of elliptic partial differential equations by an optimization-based domain decomposition method
    Gunzburger, Max D.; Heinkenschloss, Matthias; Lee, Hyesuk Kwon
    Applied Mathematics and Computation (New York), v 113, n 2, Jul, 2000, p 111-139, Compendex.
  25. Simulations of four independent groups of Hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations
    Abdullah, Abdul Rahman; Shariffudin, Rio Hirowati  
    International Journal of Computer Mathematics, v 76, n 1, 2000, p 105-117, Compendex.
  26. A complex variable boundary element method for elliptic partial differential equations in a multiple-connected region.
    Ang, W. T.; Kang, Ilwon
    Int. J. Comput. Math. 75 (2000), no. 4, 515--525, MathSciNet.  
  27. The linearization method for the numerical analysis of finite element solutions to quasi-linear elliptic partial differential equations.
    Santos, Felix C. G.
    SIAM J. Numer. Anal. 38 (2000), no. 1, 227--266 (electronic), MathSciNet.  
  28. A complex variable boundary element method for an elliptic partial differential equation with variable coefficients.
    Park, Y. S.; Ang, W. T.
    Comm. Numer. Methods Engrg. 16 (2000), no. 10, 697--703, MathSciNet.  
  29. Continuation for nonlinear elliptic partial differential equations discretized by the multiquadric method.
    Fedoseyev, A. I.; Friedman, M. J.; Kansa, E. J.
    Internat. J. Bifur. Chaos Appl. Sci. Engrg. 10 (2000), no. 2, 481--492, MathSciNet.  
  30. Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. II. Quasimonotone iteration for coupled 2x2 systems.
    Chen, Goong; Deng, Yuanhua; Ni, Wei-Ming; Zhou, Jianxin
    Math. Comp. 69 (2000), no. 230, 629--652, MathSciNet.  
  31. Parameter identification for an elliptic partial differential equation with distributed noisy data
    Luce, R.; Perez, S.
    Inverse Problems, v 15, n 1, Feb, 1999, p 291-307, Compendex.
  32. A posteriori estimators for nonlinear elliptic partial differential equations
    Christian, Felix; Santos, Guimaraes
    Journal of Computational and Applied Mathematics, v 103, n 1, Mar 15, 1999, p 99-114, Compendex.
  33. Fast direct solver for elliptic partial differential equations on adaptively refined meshes
    Huang, JingFang; Greengard, Leslie
    SIAM Journal of Scientific Computing, v 21, n 4, 1999, p 1551-1566, Compendex.
  34. Positive radial solutions of quasilinear elliptic partial differential equations on a ball
    Garcia-Huidobro, M.; Manasevich, R.; Schmitt, K.
    Nonlinear Analysis, Theory, Methods & Applications, v 35, n 2, Jan, 1999, p 175-190, Compendex.
  35. A complex variable boundary element method for an exterior boundary value problem governed by an elliptic partial differential equation.
    Ang, W. T.; Park, Y. S.
    Southeast Asian Bull. Math. 23 (1999), no. 4, 541--549, MathSciNet.  
  36. Analysis of iterative line spline collocation methods for elliptic partial differential equations.
    Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E.
    SIAM J. Matrix Anal. Appl. 21 (1999), no. 2, 508--521 (electronic), MathSciNet.  
  37. The finite element approximation of semilinear elliptic partial differential equations with critical exponents in the cube.
    Budd, C. J.; Humphries, A. R.; Wathen, A. J.
    SIAM J. Sci. Comput. 20 (1999), no. 5, 1875--1904 (electronic), MathSciNet.  
  38. Semicoarsening multigrid method for elliptic partial differential equations with highly discontinuous and anisotropic coefficients
    Schaffer, Steve
    SIAM Journal on Scientific Computing, v 20, n 1, Aug, 1998, p 228-242, Compendex.
  39. Fundamental solutions for second order linear elliptic partial differential equations
    Clements, D.L.
    Computational Mechanics, v 22, n 1, Jul, 1998, p 26-31, Compendex.
  40. CVBEM for a system of second-order elliptic partial differential equations
    Ang, W.T.; Park, Y.S.
    Engineering Analysis with Boundary Elements, v 21, n 2, Mar, 1998, p 179-184, Compendex.
  41. On the construction of discretizations of elliptic partial differential equations.  
    Doedel, Eusebius
    J. Differ. Equations Appl.  3  (1998),  no. 5-6, 389--416, MathSciNet.  
  42. Sparse grids: recent developments for elliptic partial differential equations.
    Bungartz, Hans-Joachim; Dornseifer, Thomas
    Multigrid methods V (Stuttgart, 1996), 45--70, Lect. Notes Comput. Sci. Eng., 3, Springer, Berlin, 1998, MathSciNet.  
  43. Multiple singular sets for solutions of an elliptic nonlinear scalar partial differential equation
    Molinaro, Thierry Horsin
    Nonlinear Analysis, Theory, Methods & Applications, v 28, n 4, Feb, 1997, p 595-610, Compendex.
  44. Multithreaded Java framework for solving linear elliptic partial differential equations in 3D
    Loffler, Gerald
    Lecture Notes in Computer Science, v 1343, 1997, p 121, Compendex.
  45. A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
    Paraschivoiu, Marius; Peraire, Jaime; Patera, Anthony T.
    Computer Methods in Applied Mechanics and Engineering, v 150, n 1-4, Dec, 1997, p 289-312, Compendex.
  46. Coiflet interpolation and approximate solutions of elliptic partial differential equations.
    Lin, En-Bing; Zhou, Xiaolin
    Numer. Methods Partial Differential Equations 13 (1997), no. 4, 303--320, MathSciNet.  
  47. Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations.
    Rice, J. R.; Vavalis, E. A.; Yang, Daoqi
    J. Comput. Appl. Math. 87 (1997), no. 1, 11--19, MathSciNet.  
  48. On the Solvability of a Nonlinear Second-Order Elliptic Equation at Resonance  
    Chung-Cheng Kuo  
    Proceedings of the American Mathematical Society, Vol. 124, No. 1. (Jan., 1996), pp. 83-87, Jstor.  
  49. Boundary element method for a second order elliptic partial differential equation with variable coefficients
    Ang, W.T.; Kusuma, J.; Clements, D.L.
    Engineering Analysis with Boundary Elements, v 18, n 4, Dec, 1996, p 311-316, Compendex.
  50. Preconditioning Chebyshev spectral collocation method for elliptic partial differential equations
    Sang, Dong Kim; Parter, Seymour V.
    SIAM Journal on Numerical Analysis, v 33, n 6, Dec, 1996, p 2375, Compendex.
  51. Spatial decay estimates for a class of second-order quasilinear elliptic partial differential equations arising in anisotropic nonlinear elasticity
    Horgan, C.O.; Payne, L.E.
    Mathematics and Mechanics of Solids, v 1, n 4, Dec, 1996, p 411-423, Compendex.
  52. Domain decomposition method with coupled transmission conditions for the optimal control of systems governed by elliptic partial differential equations
    Benamou, Jean-David
    SIAM Journal on Numerical Analysis, v 33, n 6, Dec, 1996, p 2401, Compendex.
  53. Boundary element monotone iteration scheme for semilinear elliptic partial differential equations.
    Deng, Yuanhua; Chen, Goong; Ni, Wei-Ming; Zhou, Jianxin
    Math. Comp. 65 (1996), no. 215, 943--982, MathSciNet.  
  54. Multiple Solutions for a Semilinear Elliptic Equation  
    Manuel A. Del Pino; Patricio L. Felmer  
    Transactions of the American Mathematical Society, Vol. 347, No. 12. (Dec., 1995), pp. 4839-4853, Jstor.  
  55. A Remark on Positive Radial Solutions of the Elliptic Equation in Rn  
    Yasuhiro Sasahara; Kazunaga Tanaka  
    Proceedings of the American Mathematical Society, Vol. 123, No. 2. (Feb., 1995), pp. 527-531, Jstor.
  56. Appendix to "Approximation of viscosity solutions of elliptic partial differential equations on minimal grids", by M. Kocan: Approximation to orthogonal bases in Rn by orthogonal bases with integer coordinates
    Schmidt, W. M.
    Numerische Mathematik, v 72, n 1, 1995, p 117, Compendex.
  57. Determination of a coefficient in an elliptic partial differential equation
    Hao, Dinh Nho
    Journal of Inverse and Ill-Posed Problems, v 3, n 1, 1995, p 11, Compendex.
  58. Approximation of viscosity solutions of elliptic partial differential equations on minimal grids
    Kocan, M.
    Numerische Mathematik, v 72, n 1, 1995, p 73, Compendex.  
  59. Distributed memory implementation of elliptic partial differential equations in a dataparallel functional language
    Kuchen, H.; Stoltze, H.; Dimov, I.; Karaivanova, A.
    Proceedings of the International Conference on Programming Models for Massively Parallel Computers, 1995, p 142-150, Compendex.
  60. Nonlinear elliptic partial differential equations at resonance. Higher eigenvalues
    Iannacci, R.; Nkashama, M.N.
    Nonlinear Analysis, Theory, Methods & Applications, v 25, n 5, Sep, 1995, p 455, Compendex.
  61. A fourth-order finite difference scheme for two-dimensional nonlinear elliptic partial differential equations.    
    Saldanha, Godfrey; Anantha Krishnaiah, U.    
    Numer. Methods Partial Differential Equations 11 (1995), no. 1, 33--40, MathSciNet.   
  62. The Neumann problem for a Laplace equation with the essentially infinite-dimensional elliptic operator.    
    Bogdansky, Yu. V.    
    Dopov. Nats. Akad. Nauk Ukraïni 1995, no. 10, 24--26, MathSciNet.   
  63. The relaxation schemes for the two-dimensional anisotropic elliptic partial differential equation using multigrid method.
    Hassan Nasr, A.; Osama El Giar, M.; Fatema Hassan, M.
    An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 41 (1995), no. 2, 409--425 (1997), MathSciNet.  
  64. A Nonlinear Elliptic Equation Arising from Gauge Field Theory and Cosmology  
    Xinfu Chen; Stuart Hastings; J. Bryce McLeod; Yisong Yang  
    Proceedings: Mathematical and Physical Sciences, Vol. 446, No. 1928. (Sep. 8, 1994), pp. 453-478, Jstor.
  65. Note on some problems concering skem differential quotients of Hua's elliptic partial differential equation of second order
    Lu, De
    Xiangtan Kuangye Xueyuan Xuebao/Journal of Xiangtan Mining Institute, v 9, n 1, Mar, 1994, p 78, Compendex.
  66. Solution of elliptic partial differential equations with inseparable variables
    Zelkin, Ye. G.
    Journal of Communications Technology and Electronics, v 39, n 4, 1994, p 119, Compendex.
  67. Alternating group explicit method for solving two and three-dimensional elliptic partial differential equations
    Evans, D.J.; Ahmad, A.R.
    High-Performance Computing in Engineering, v 2, n 12, Dec 25, 1994, p 1, Compendex.
  68. Quadratic spline collocation methods for elliptic partial differential equations.
    Christara, Christina C.
    BIT 34 (1994), no. 1, 33--61, MathSciNet.  
  69. On the Solution of an Integral Equation Arising in Potential Problems for Circular and Elliptic Disks  
    J. Boersma; E. Danicki  
    SIAM Journal on Applied Mathematics, Vol. 53, No. 4. (Aug., 1993), pp. 931-941, Jstor.
  70. Convergence Analysis of the Schwarz Algorithm and Multilevel Decomposition Iterative Methods II: Nonselfadjoint and Indefinite Elliptic Problems  
    Junping Wang  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 4. (Aug., 1993), pp. 953-970
  71. Solution of elliptic-type partial differential equations with non-dividing variables
    Zelkin, E.G.
    Radiotekhnika i Elektronika, v 39, n 1, Jan, 1993, p 14-22 Language: Russian, Compendex.
  72. Toward parallel mathematical software for elliptic partial differential equations
    Ribbens, Calvin J.; Watson, Layne T.; Desa, Coun
    ACM Transactions on Mathematical Software, v 19, n 4, Dec, 1993, p 457-473, Compendex.
  73. Use of block tridiagonal methods to improve convergence of DADI solutions to coupled elliptic partial differential equations
    DiPeso, G.; Hewett, D.W.; Larson, D.J.
    Computer Physics Communications, v 77, n 1, Sep, 1993, p 33-45, Compendex.
  74. Near-circularity of the error curve in Chebyshev approximation of solutions to a class of elliptic partial differential equations in the complex plane.
    McCoy, Peter A.
    Computational complex analysis. J. Comput. Appl. Math. 46 (1993), no. 1-2, 315--326, MathSciNet.  
  75. Iterative line cubic spline collocation methods for elliptic partial differential equations in several dimensions.
    Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E. A.
    SIAM J. Sci. Comput. 14 (1993), no. 3, 715--734, MathSciNet.  
  76. Representation of elliptic by parabolic partial differential equations with an application to axially symmetric sound propagation
    Sack, R.A.; West, M.
    Applied Acoustics, v 37, n 2, 1992, p 141-149, Compendex.
  77. Case study of knowledge engineering in the application area of elliptic partial differential equations (PDEs)
    Sotiropoulou, Vassiliki V.; Papatheodorou, Theodore S.
    Proceedings of the 4th International Conference on Software Engineering and Knowledge Engineering, 1992, p 261-268, Compendex.
  78. Numerical solution of a singularly perturbed elliptic-hyperbolic partial differential equation on a nonuniform discretization mesh.
    Wu, Qi Guang; Sun, Xiao Di
    Appl. Math. Mech. (English Ed.) 13 (1992), no. 12, 1081--1088; translated from Appl. Math. Mech. 13 (1992), no. 12, 1037--1044(Chinese), MathSciNet.  
  79. Monotone iterations for numerical solutions of nonlinear elliptic partial differential equations.
    Liu, Xinzhi; Wong, Yau Shu; Xingzhi, Ji
    Appl. Math. Comput. 50 (1992), no. 1, 59--91, MathSciNet.  
  80. Elliptic partial differential equation and optimal control.
    Zhong, Wan Xie; Zhong, Xiang Xiang
    Numer. Methods Partial Differential Equations 8 (1992), no. 2, 149--169, MathSciNet.  
  81. Progress in partial differential equations: elliptic and parabolic problems. Proceedings of the First European Conference on Elliptic and Parabolic Problems held in Pont-à-Mousson, June 1991.
    Edited by C. Bandle, J. Bemelmans, M. Chipot, M. Grüter and J. Saint Jean Paulin.
    Pitman Research Notes in Mathematics Series, 266. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1992. viii+289 pp. ISBN: 0-582-07252-2 35-06, MathSciNet.  
  82. The error estimate of generalized difference method of 3rd-order Hermite type for elliptic partial differential equations.
    Chen, Zhong Ying
    Northeast. Math. J. 8 (1992), no. 2, 127--135, MathSciNet.  
  83. Mapping of curved surfaces onto a side boundary of the three-dimensional computational grid using two elliptic partial differential equations
    Nakamura, S.; Fradl, D.P.; Spradling, M.L.; Kuwahara, K.
    Proceedings of the International Conference on Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, 1991, p 925, Compendex.
  84. On the definition of ellipticity for systems of partial differential equations
    Cosner, Chris
    Journal of Mathematical Analysis and Applications, v 158, n 1, Jun, 1991, p 80, Compendex.  
  85. Alternating direction collocation for separable elliptic partial differential equations.
    Cooper, K. D.; Prenter, P. M.
    SIAM J. Numer. Anal. 28 (1991), no. 3, 711--727, MathSciNet.  
  86. Fourth-order difference methods for the system of 2D nonlinear elliptic partial differential equations.
    Jain, M. K.; Jain, R. K.; Mohanty, R. K.
    Numer. Methods Partial Differential Equations 7 (1991), no. 3, 227--244, MathSciNet.  
  87. On oblique derivative problems for fully nonlinear second-order elliptic partial differential equations on nonsmooth domains
    Dupuis, P.; Ishii, H.
    Nonlinear Analysis, Theory, Methods & Applications, v 15, n 12, 1990, p 1123, Compendex.
  88. Multiquadrics. A scattered data approximation scheme with applications to computational fluid-dynamics. II. Solutions to parabolic, hyperbolic and elliptic partial differential equations
    Kansa, E.J.
    Computers & Mathematics with Applications, v 19, n 8-9, 1990, p 147-161, Compendex.
  89. Convergence of difference schemes for nonlinear elliptic differential problems which admit Laplace equation.    
    Mosurski, Ryszard    
    Opuscula Math. No. 4 (1988), 181--204 (1989), MathSciNet.   
  90. Identification of free boundaries and nonlinearities for elliptic partial differential equations arising from plasma physics.
    Blum, J.
    Control of partial differential equations (Santiago de Compostela, 1987), 11--22, Lecture Notes in Control and Inform. Sci., 114, Springer, Berlin, 1989, MathSciNet.  
  91. Convergence of O(h^4) cubic spline collocation methods for elliptic partial differential equations.
    Houstis, E. N.; Vavalis, E. A.; Rice, J. R.
    SIAM J. Numer. Anal. 25 (1988), no. 1, 54--74, MathSciNet.  
  92. Application of iteration functions to elliptic partial differential equations.
    Manohar, R.; Ngai, T. Y.
    Comput. Math. Appl. 16 (1988), no. 4, 279--285, MathSciNet.  
  93. The optimisation of approximate-factorisation schemes for solving elliptic partial differential equations in three dimensions, featuring a new two-factor scheme.
    Catherall, D.
    J. Comput. Phys. 78 (1988), no. 1, 138--159, MathSciNet.  
  94. A stable difference scheme for linear elliptic partial differential equations. (Chinese)    
    Li, Lei    
    Math. Numer. Sinica 10 (1988), no. 4, 375--380, MathSciNet.   
  95. A difference method for solving singular perturbation problems of second-order elliptic partial differential equations involving two parameters. (Chinese)
    Wang, Guo Ying
    J. Numer. Methods Comput. Appl. 9 (1988), no. 3, 153--161, MathSciNet.  
  96. A class of uniformly convergent difference schemes for second-order elliptic partial differential equations. (Chinese)    
    Wang, Guo Ying    
    Nanjing Daxue Xuebao Shuxue Bannian Kan 5 (1988), no. 1, 102--106, MathSciNet.   
  97. The Finite Element Method for a Degenerate Elliptic Equation  
    Donald A. French  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 4. (Aug., 1987), pp. 788-815, Jstor.
  98. A Quasi-Newton Method for Elliptic Boundary Value Problems  
    C. T. Kelley; E. W. Sachs  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 3. (Jun., 1987), pp. 516-531, Jstor.
  99. Accelerated iterative methods for elliptic partial differential equations.  
    Grandek, K.
    Systems Anal. Modelling Simulation  4  (1987),  no. 6, 541--547, MathSciNet.  
  100. A numerical method of solution of nonlinear elliptic system of partial differential equations. (Korean)
    Kim, Tae Yon
    Cho-son In-min Kong-hwa-kuk Kwa-hak-won T'ong-bo 1987, no. 4, 9--13, MathSciNet.  
  101. Almost globally convergent interval methods for discretizations of nonlinear elliptic partial differential equations.
    Schwandt, Hartmut
    SIAM J. Numer. Anal. 23 (1986), no. 2, 304--324, MathSciNet.  
  102. On the Elliptic Equation in R2  
    Nichiro Kawano; Takasi Kusano; Manabu Naito  
    Proceedings of the American Mathematical Society, Vol. 93, No. 1. (Jan., 1985), pp. 73-78, Jstor.
  103. Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems  
    F. A. Milner  
    Mathematics of Computation, Vol. 44, No. 170. (Apr., 1985), pp. 303-320, Jstor.
  104. On the accuracy of finite difference solutions to elliptic partial differential equations.    
    de Arantes e Oliveira, E. R.    
    Internat. J. Numer. Methods Engrg. 21 (1985), no. 2, 229--238, MathSciNet.   
  105. A finite difference scheme for a class of first-order elliptic partial differential equations.    
    Phillips, Timothy N.; Rose, Milton E.    
    Comput. Math. Appl. 11 (1985), no. 4, 411--417, MathSciNet.   
  106. The numerical solution of elliptic partial differential equations by the method of lines.
    Edwards, Bruce H.
    Rev. Colombiana Mat. 19 (1985), no. 3-4, 297--312, MathSciNet.  
  107. Some a posteriori error estimators for elliptic partial differential equations.
    Bank, R. E.; Weiser, A.
    Math. Comp. 44 (1985), no. 170, 283--301, MathSciNet.  
  108. A difference method for solving perturbation problems of second-order elliptic partial differential equations. (Chinese)    
    Wang, Guo Ying    
    Numer. Math. J. Chinese Univ. 7 (1985), no. 2, 151--160, MathSciNet.    
  109. Some nonelliptic boundary value problems for a system of second-order elliptic equations with the principal part in the form of a Laplace operator. (Russian)    
    Khoang Kuok Toan; Nguen Vet Cheu Tièn    
    Ukrain. Mat. Zh. 37 (1985), no. 3, 393--396, 408, MathSciNet.   
  110. The Free Boundary of a Semilinear Elliptic Equation  
    Avner Friedman; Daniel Phillips  
    Transactions of the American Mathematical Society, Vol. 282, No. 1. (Mar., 1984), pp. 153-182, Jstor.
  111. High-Order, Fast-Direct Methods for Separable Elliptic Equations  
    Linda Kaufman; Daniel D. Warner  
    SIAM Journal on Numerical Analysis, Vol. 21, No. 4. (Aug., 1984), pp. 672-694, Jstor.
  112. Preconditioned iterative methods for the numerical solution of elliptic partial differential equations.
    Evans, D. J.; Missirlis, N. M.
    Preconditioning methods: analysis and applications, 115--177, Topics in Comput. Math., 1, Gordon & Breach, New York, 1983, MathSciNet.  
  113. The cell discretization algorithm for elliptic partial differential equations.
    Greenstadt, John
    SIAM J. Sci. Statist. Comput. 3 (1982), no. 3, 261--288, MathSciNet.  
  114. High order methods for elliptic partial differential equations with singularities.
    Houstis, Elias N.; Rice, John R.
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(c) John H. Mathews 2004