Bibliography for Galerkin's Method

unabridged

 

  1. Generalization of Runge-Kutta discontinuous Galerkin method to LWR traffic flow model with inhomogeneous road conditions.  
    Zhang, Peng; Liu, Ru-Xun
    Numer. Methods Partial Differential Equations  21  (2005),  no. 1, 80--88, MathSciNet.
  2. A Crank-Nicolson and ADI Galerkin method with quadrature for hyperbolic problems.
    Ganesh, M.; Mustapha, K.
    Numer. Methods Partial Differential Equations 21 (2005), no. 1, 57--79, MathSciNet.
  3. Application of Galerkin's method to equal width wave equation.
    Dogan, Abdulkadir
    Appl. Math. Comput. 160 (2005), no. 1, 65--76, MathSciNet.
  4. Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations.
    Karakashian, Ohannes; Makridakis, Charalambos
    Math. Comp. 74 (2005), no. 249, 85--102 (electronic), MathSciNet.
  5. A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems.
    Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
    Math. Comp. 74 (2005), no. 249, 53--84 (electronic), MathSciNet.
  6. 3-Dimensional Implementation Of The Field Iterative Method For Cavity Modeling  PDF  
    C.-F. Wang, Y. Xu, And Y.-B. Gan, Progress In Electromagnetics Research, PIER 47, 27--47, 2004.  
  7. Three-dimensional Groundwater Flow Analysis System using the Element-free Galerkin Method
    Sakurai H.; Kawahara M.
    International Journal of Computational Fluid Dynamics, May 2004, vol. 18, no. 4, pp. 309-315(7), Ingenta.  
  8. Analysis of a family of discontinuous Galerkin methods for elliptic problems: the one dimensional case.
    Larson, Mats G.; Niklasson, A. Jonas
    Numer. Math. 99 (2004), no. 1, 113--130, MathSciNet.
  9. A multipole Galerkin boundary element method for acoustics
    Fischer, Matthias; Gauger, Ute; Gaul, Lothar
    Engineering Analysis with Boundary Elements, v 28, n 2, February, 2004, p 155-162, Compendex.
  10. High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
    Hesthaven J.S.; Warburton T.
    Philosophical Transactions: Mathematical, Physical & Engineering Sciences, March 15, 2004, vol. 362, no. 1816, pp. 493-524(32), Ingenta.  
  11. Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems.
    Farhat, Charbel; Tezaur, Radek; Weidemann-Goiran, Paul
    Internat. J. Numer. Methods Engrg. 61 (2004), no. 11, 1938--1956, MathSciNet.
  12. Galerkin finite element analysis of spin casting cooling process
    Huan, Zhongjie; Jordaan, G.D.
    Applied Thermal Engineering, v 24, n 1, January, 2004, p 95-110, Compendex.  
  13. Solving linear integro-differential equation system by Galerkin methods with hydrid functions.
    Maleknejad, K.; Tavassoli Kajani, M.
    Appl. Math. Comput. 159 (2004), no. 3, 603--612, MathSciNet.
  14. Meshless local Petrov-Galerkin method in anisotropic elasticity.
    Sladek, J.; Sladek, V.; Atluri, S. N.
    CMES Comput. Model. Eng. Sci. 6 (2004), no. 5, 477--489, MathSciNet.
  15. A posteriori error approximation in the element-free Galerkin method. (Spanish)
    Martín, Ángel J.; Gavete, Luis; Alonso, Beatriz; Ruiz, Antonio
    Rev. Internac. Métod. Numér. Cálc. Diseñ. Ingr. 20 (2004), no. 3, 247--260, MathSciNet.
  16. Indirect formulations for symmetric Galerkin BEM and space derivative problems
    Yu G.Y.
    Engineering Computations: Int J for Computer-Aided Engineering, 11 June 2003, vol. 20, no. 4, pp. 409-435(27), Ingenta.  
  17. A superconvergence result for discontinuous Galerkin methods applied to elliptic problems
    Castillo P.
    Computer Methods in Applied Mechanics and Engineering, 10 October 2003, vol. 192, no. 41, pp. 4675-4685(11), Ingenta.  
  18. Iterated discrete polynomially based Galerkin methods
    Kulkarni, Rekha P.; Gnaneshwar, N.
    Applied Mathematics and Computation (New York), v 146, n 1, Dec 30, 2003, p 153-165, Compendex.  
  19. Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses
    Dubeau F.; Ouansafi A.; Sakat A.
    Numerical Algorithms, August 2003, vol. 33, no. 1-4, pp. 215-225(11), Ingenta.  
  20. Existence Theorems and Galerkin Approximation for Non-Linear Evolution Control Problems
    Andrzej Just
    Optimization, June 2003, vol. 52, no. 3, pp. 287-300(14), Ingenta.  
  21. A fractional-step Pade-Galerkin model for dam-break flow simulation
    Venutelli M.
    Applied Mathematics and Computation, 10 January 2003, vol. 134, no. 1, pp. 93-107(15), Ingenta.  
  22. Coupled, forced response of an axially moving strip with internal resonance  PDF  
    C.H. Riedel;  C.A. Tan, International Journal of Non-Linear Mechanics 37 (2002) 101}116.
  23. Applying the Galerkin Least Squares finite element method for solving stirred tank velocity fields
    Bittorf, Kevin J.
    American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, v 257, n 1 B, 2002, p 1513-1518, Compendex.  
  24. Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations
    Han G.; Wang R.
    Journal of Computational and Applied Mathematics, 1 February 2002, vol. 139, no. 1, pp. 49-63(15), Ingenta.  
  25. Numerical solution of RLW equation using linear finite elements within Galerkin's method
    Dogan, Abdulkadir  
    Applied Mathematical Modelling, v 26, n 7, July, 2002, p 771-783, Compendex.  
  26. A Taylor-Galerkin Method for Modeling Unsteady Fluid Flow Under its Own Weight
    Ogawa, N.; Shimazaki, Y.
    International Journal of Computational Fluid Dynamics, 2001, vol. 15, no. 1, pp. 13-18, Ingenta.  
  27. A Taylor-Galerkin Finite Element Method for One-Dimensional Hyperbolic System of Conservational Laws
    Xijun, Y.
    Mathematica Numerica Sinica, 2001, vol. 23, no. 2, pp. 199-208, Ingenta.  
  28. A new mathematical development for radiosity animation with Galerkin
    Didier, Arques; Venceslas, Biri; Sylvain, Michelin
    Computer Animation, Conference Proceedings, 2001, p 201-207, Compendex.
  29. A Problem-Independent Limiter for High-Order Runge-Kutta Discontinuous Galerkin Methods
    Burbeau A.; Sagaut P.; Bruneau C.-H.
    Journal of Computational Physics, 1 May 2001, vol. 169, no. 1, pp. 111-150(40), Ingenta.   
  30. Local adaptive Galerkin bases
    Solis, F.J. (CIMAT)
    Nonlinear Analysis, Theory, Methods and Applications, v 47, n 7, August, 2001, p 4961-4969, Compendex.
  31. Stochastic seepage analysis of jointed rock masses by usage of Taylor series stochastic finite element method
    Sheng, J.-c.; Su, B.-y.; Zhan, M.-l.; Wei, B.-y.
    Chinese Journal of Geotechnical Engineering, 2001, vol. 23, no. 4, pp. 485-488, Ingenta.  
  32. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
    Cockburn, Bernardo; Shu, Chi-Wang
    Journal of Scientific Computing, v 16, n 3, September, 2001, p 173-261, Compendex.
  33. A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations.    
    Ma, Heping; Sun, Weiwei    
    SIAM J. Numer. Anal. 38 (2000), no. 5, 1425--1438 (electronic), MathSciNet.  
  34. A Taylor-Galerkin Finite Element Method for Hyperbolic Conservation Laws
    Yu, X.-j.; Fu, H.-y.
    Chinese Journal of Computational Physics, 2000, vol. 17, no. 6, pp. 611-618, Ingenta.  
  35. Wind-driven currents in a sea with a variable eddy viscosity calculated via a Sinc-Galerkin technique
    Winter, D.F.; Bowers, Kenneth L.; Lund, John
    International Journal for Numerical Methods in Fluids, v 33, n 7, Aug, 2000, p 1041-1073, Compendex.
  36. Meshless Galerkin Methods Using Radial Basis Functions  
    Holger Wendland  
    Mathematics of Computation > Vol. 68, No. 228 (Oct., 1999), pp. 1521-1531, Jstor.   
  37. Postprocessing the Galerkin Method: The Finite-Element Case  
    Bosco Garcia-Archilla; Edriss S. Titi  
    SIAM Journal on Numerical Analysis > Vol. 37, No. 2 (Dec., 1999), pp. 470-499, Jstor.   
  38. A Space-Time Finite Element Method for the Nonlinear Schrodinger Equation: The Continuous Galerkin Method  
    Ohannes Karakashian; Charalambos Makridakis  
    SIAM Journal on Numerical Analysis > Vol. 36, No. 6 (Sep., 1999), pp. 1779-1807, Jstor.    
  39. An Approximate Inertial Manifolds Approach to Postprocessing the Galerkin Method for the Navier-Stokes Equations  
    Bosco Garcia-Archilla; Julia Novo; Edriss S. Titi  
    Mathematics of Computation > Vol. 68, No. 227 (Jul., 1999), pp. 893-911, Jstor.     
  40. A Priori L^p Error Estimates for Galerkin Approximations to Porous Medium and Fast Diffusion Equations  
    Dongming Wei; Lew Lefton  
    Mathematics of Computation > Vol. 68, No. 227 (Jul., 1999), pp. 971-989, Jstor.      
  41. On Best Possible Order of Convergence Estimates in the Collocation Method and Galerkin's Method for Singularly Perturbed Boundary Value Problems for Systems of First-Order Ordinary Differential Equations  
    I. A. Blatov; V. V. Strygin  
    Mathematics of Computation > Vol. 68, No. 226 (Apr., 1999), pp. 683-715, Jstor.       
  42. A Taylor discontinuous Galerkin method for the thermal solution in 3D mold filing.
    Pichelin, E.; Coupez, T.
    Computer methods in applied mechanics and engineering, 1999, vol. 178, no. 1/2, pp. 153, Ingenta.  
  43. The relation between Petrov-Galerkin and collocation methods using spline multiresolution analyses.    
    Gomes, Sônia M.; Cunha, Cristina    
    Dedicated to the memory of Julio E. Bouillet. Rev. Un. Mat. Argentina 41 (1998), no. 1, 61--78, MathSciNet.  
  44. The Petrov-Galerkin and Iterated Petrov-Galerkin Method for Second-Kind Integral Equations  
    Zhongying Chen; Yuesheng Xu  
    SIAM Journal on Numerical Analysis > Vol. 35, No. 1 (Feb., 1998), pp. 406-434, Jstor.  
  45. An H^1-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations  
    Amiya K. Pani  
    SIAM Journal on Numerical Analysis > Vol. 35, No. 2 (Apr., 1998), pp. 712-727, Jstor.   
  46. Postprocessing the Galerkin Method: A Novel Approach to Approximate Inertial Manifolds  
    Bosco Garcia-Archilla; Julia Novo; Edriss S. Titi  
    SIAM Journal on Numerical Analysis > Vol. 35, No. 3 (Jun., 1998), pp. 941-972, Jstor.    
  47. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems  
    Bernardo Cockburn; Chi-Wang Shu  
    SIAM Journal on Numerical Analysis > Vol. 35, No. 6 (Dec., 1998), pp. 2440-2463, Jstor.     
  48. Numerical Solution of Parabolic Integro-Differential Equations by the Discontinuous Galerkin Method  
    Stig Larsson; Vidar Thomee; Lars B. Wahlbin  
    Mathematics of Computation > Vol. 67, No. 221 (Jan., 1998), pp. 45-71, Jstor.     
  49. A Space-Time Finite Element Method for the Nonlinear Schrodinger Equation: The Discontinuous Galerkin Method  
    Ohannes Karakashian; Charalambos Makridakis  
    Mathematics of Computation > Vol. 67, No. 222 (Apr., 1998), pp. 479-499, Jstor.      
  50. Multilevel Additive Schwarz Method for the h-p Version of the Galerkin Boundary Element Method  
    Norbert Heuer; Ernst P. Stephan; Thanh Tran  
    Mathematics of Computation > Vol. 67, No. 222 (Apr., 1998), pp. 501-518, Jstor.       
  51. The Method of Conjugate Residuals for Solving the Galerkin Equations Associated with Symmetric Positive Semidefinite Ill-Posed Problems  
    R. Plato  
    SIAM Journal on Numerical Analysis > Vol. 35, No. 4 (Aug., 1998), pp. 1621-1645, Jstor.        
  52. An Improved Error Bound for a Lagrange-Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics  
    John W. Barrett; Peter Knabner  
    SIAM Journal on Numerical Analysis > Vol. 35, No. 5 (Oct., 1998), pp. 1862-1882, Jstor.         
  53. A Taylor-Galerkin Method for Simulating Nonlinear Dispersive Water Waves.
    Ambrosi, D.; Quartapelle, L.
    Journal of computational physics, 1998, vol. 146, no. 2, pp. 546, Ingenta.  
  54. Differential Quadrature Method: Application to Initial-Boundary Value Problems
    S. Tomasiello
    Journal of Sound and Vibration, Vol. 218, No. 4, Dec 1998, pp. 573-585, Ideal.  
  55. On the Stability of the Discontinuous Galerkin Method for the Heat Equation  
    Ch. G. Makridakis; I. Babuska  
    SIAM Journal on Numerical Analysis > Vol. 34, No. 1 (Feb., 1997), pp. 389-401, Jstor.   
  56. Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions  
    Peixiong Lin; K. W. Morton; E. Suli  
    SIAM Journal on Numerical Analysis > Vol. 34, No. 2 (Apr., 1997), pp. 779-796, Jstor.    
  57. Convergence Estimates for the Wavelet Galerkin Method  
    Sonia M. Gomes; Elsa Cortina  
    SIAM Journal on Numerical Analysis > Vol. 33, No. 1 (Feb., 1996), pp. 149-161, Jstor.   
  58. Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations  
    Hideaki Kaneko; Yuesheng Xu  
    SIAM Journal on Numerical Analysis > Vol. 33, No. 3 (Jun., 1996), pp. 1048-1064, Jstor.      
  59. On the Superconvergence of Galerkin Methods for Hyperbolic IBVP  
    David Gottlieb; Bertil Gustafsson; Pelle Olsson; Bo Strand  
    SIAM Journal on Numerical Analysis > Vol. 33, No. 5 (Oct., 1996), pp. 1778-1796, Jstor.      
  60. Piecewise Linear Petrov-Galerkin Error Estimates for the Box Method  
    Thomas Kerkhoven  
    SIAM Journal on Numerical Analysis > Vol. 33, No. 5 (Oct., 1996), pp. 1864-1884, Jstor.       
  61. Extra Smoothness Requirements for Galerkin Methods for the Wave Equation  
    Mark C. Haase  
    SIAM Journal on Numerical Analysis > Vol. 33, No. 5 (Oct., 1996), pp. 1962-1968, Jstor.        
  62. Local Error Estimates for the Galerkin Method Applied to Strongly Elliptic Integral Equations on Open Curves  
    Thanh Tran  
    SIAM Journal on Numerical Analysis > Vol. 33, No. 4 (Aug., 1996), pp. 1484-1493, Jstor.         
  63. Some New Error Estimates for Ritz-Galerkin Methods with Minimal Regularity Assumptions  
    Alfred H. Schatz; Junping Wang  
    Mathematics of Computation > Vol. 65, No. 213 (Jan., 1996), pp. 19-27, Jstor.          
  64. The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves.    
    Shu, H. Z.    
    J. Comput. Appl. Math. 72 (1996), no. 1, 1--20, MathSciNet.  
  65. A Galerkin-Characteristic Algorithm for Transport-Diffusion Equations  
    Rodolfo Bermejo  
    SIAM Journal on Numerical Analysis > Vol. 32, No. 2 (Apr., 1995), pp. 425-454, Jstor.     
  66. Nonlinear Galerkin Method Using Chebyshev and Legendre Polynomials I. The One-Dimensional Case  
    Jie Shen; Roger Temam  
    SIAM Journal on Numerical Analysis > Vol. 32, No. 1 (Feb., 1995), pp. 215-234, Jstor.      
  67. Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements  
    Martine Marion; Jinchao Xu  
    SIAM Journal on Numerical Analysis > Vol. 32, No. 4 (Aug., 1995), pp. 1170-1184, Jstor.       
  68. The K-Operator and the Galerkin Method for Strongly Elliptic Equations on Smooth Curves: Local Estimates  
    Thanh Tran  
    Mathematics of Computation > Vol. 64, No. 210 (Apr., 1995), pp. 501-513, Jstor.        
  69. A Taylor-Galerkin Finite Element Method for the Hydrodynamic Semiconductor Equations.
    Bova, S.; Carey, G. F.
    Ieee transactions on computer-aided design of in, 1995, vol. 14, no. 12, pp. 1437, Ingenta.   
  70. A Numerical Study of Vortex Shedding Around a Heated/Cooled Circular Cylinder by the Three-step Taylor-Galerkin Method.
    Hatanaka, K.; Kawahara, M.
    International journal for numerical methods in fluids, 1995, vol. 21, no. 10, pp. 857, Ingenta.   
  71. A new direct higher-order Taylor-Galerkin finite element method.
    Youn, Sung-Kie; Park, Sang-Hoon
    Computers & structures, 1995, vol. 56, no. 4, pp. 651, Ingenta.   
  72. A symplectic Galerkin method for non-linear vibration of beams and plates
    A. Y. T. Leung, S. G. Mao
    Journal of Sound and Vibration, Vol. 183, No. 3, Jun 1995, pp. 475-491, Ideal.  
  73. Spline-Galerkin Solution of Dynamic Equations for Particle Comminution and Collection
    D. Eyre
    Journal of Computational Physics, Vol. 120, No. 2, Sep 1995, pp. 305-315, Ideal.  
  74. Characteristic-Galerkin Methods for Contaminant Transport with Nonequilibrium Adsorption Kinetics  
    C. N. Dawson; C. J. Van Duijn; M. F. Wheeler  
    SIAM Journal on Numerical Analysis > Vol. 31, No. 4 (Aug., 1994), pp. 982-999, Jstor.    
  75. On a Cell Entropy Inequality for Discontinuous Galerkin Methods  
    Guangshan Jiang; Chi-Wang Shu  
    Mathematics of Computation > Vol. 62, No. 206 (Apr., 1994), pp. 531-538, Jstor.     
  76. Global error control for the continuous Galerkin finite element method for ordinary differential equations.    
    Estep, Donald; French, Donald    
    RAIRO Modél. Math. Anal. Numér. 28 (1994), no. 7, 815--852, MathSciNet.  
  77. Electromagnetics via the Taylor-Galerkin Finite Element Method on Unstructured Grids.
    Ambrosiano, John J.; Brandon, Scott T.; Lohner, Rainald
    Journal of computational physics, 1994, vol. 110, no. 2, pp. 310, Ingenta.   
  78. The Galerkin-Collocation Method for Hyperbolic Initial Boundary Value Problems
    P. Dutt, A. K. Singh
    Journal of Computational Physics, Vol. 112, No. 2, Jun 1994, pp. 211-225, Ideal.  
  79. Galerkin-Petrov Methods for Bergman Space Toeplitz Operators  
    Albrecht Bottcher; Hartmut Wolf  
    SIAM Journal on Numerical Analysis > Vol. 30, No. 3 (Jun., 1993), pp. 846-863, Jstor.  
  80. On the Rate of Convergence of the Nonlinear Galerkin Methods  
    Christophe Devulder; Martine Marion; Edriss S. Titi  
    Mathematics of Computation > Vol. 60, No. 202 (Apr., 1993), pp. 495-514, Jstor.   
  81. On the Question of Turbulence Modeling by Approximate Inertial Manifolds and the Nonlinear Galerkin Method  
    John G. Heywood; Rolf Rannacher  
    SIAM Journal on Numerical Analysis > Vol. 30, No. 6 (Dec., 1993), pp. 1603-1621, Jstor.    
  82. On Fully Discrete Galerkin Approximations for Partial Integro-Differential Equations of Parabolic Type  
    Nai-Ying Zhang  
    Mathematics of Computation > Vol. 60, No. 201 (Jan., 1993), pp. 133-166, Jstor.     
  83. A Least Squares Petrov-Galerkin Finite Element Method for the Stationary Navier-Stokes Equations  
    Tian-Xiao Zhou; Min-Fu Feng  
    Mathematics of Computation > Vol. 60, No. 202 (Apr., 1993), pp. 531-543, Jstor.      
  84. A Modification of Taylor-Galerkin Finite Element Method and Its Application.
    Gang, Zhu; Chuan-gang, Gu; Qing-kang, Hu
    Applied mathematics and mechanics, 1993, vol. 14, no. 12, pp. 1173, Ingenta.   
  85. Sinc-Galerkin collocation method for parabolic equations in finite space-time regions.   
    Stromberg, Marc; Gilliam, Xiaoning Li    
    Computation and control, III (Bozeman, MT, 1992), 355--366, Progr. Systems Control Theory, 15, Birkhäuser Boston, Boston, MA, 1993, MathSciNet.  
  86. An accurate higher-order Taylor-Galerkin method for structural dynamics.
    Youn, Sung-Kie; Han, Sang-Gu
    Computers & structures, 1993, vol. 48, no. 4, pp. 695, Ingenta.   
  87. Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems  
    Clint N. Dawson; Todd F. Dupont  
    Mathematics of Computation > Vol. 58, No. 197 (Jan., 1992), pp. 21-34, Jstor.    
  88. A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods  
    Christophe Devulder; Martine Marion  
    SIAM Journal on Numerical Analysis > Vol. 29, No. 2 (Apr., 1992), pp. 462-483, Jstor.     
  89. Asymptotic Mesh Independence of Newton-Galerkin Methods via a Refined Mysovskii Theorem  
    Peter Deuflhard; Florian A. Potra  
    SIAM Journal on Numerical Analysis > Vol. 29, No. 5 (Oct., 1992), pp. 1395-1412, Jstor.      
  90. Iterative and Petrov-Galerkin Methods for Solving a System of One- Dimensional Nonlinear Elliptic Equations  
    Guo Ben-Yu; J. J. H. Miller  
    Mathematics of Computation > Vol. 58, No. 198 (Apr., 1992), pp. 531-547, Jstor.       
  91. Galerkin's method for ordinary differential equations subject to generalized nonlinear boundary conditions.
    Rodríguez, Jesús
    J. Differential Equations 97 (1992), no. 1, 112--126, MathSciNet.  
  92. Sinc-Galerkin collocation method for parabolic equations in finite space-time regions.   
    Stromberg, Marc; Gilliam, Xiaoning Li    
    Computation and control, III (Bozeman, MT, 1992), 355--366, Progr. Systems Control Theory, 15, Birkhäuser Boston, Boston, MA, 1993, MathSciNet.  
  93. Stiffness-Adaptive Taylor Method for the Integration of Non-Stiff and Stiff Kinetic Models.
    Baeza Baeza, J.J.; Pla, F. Pererz; Ramos, G. Ramis
    Journal of computational chemistry, 1992, vol. 13, no. 7, pp. 810, Ingenta.   
  94. The discontinuous finite element method with the Taylor-Galerkin approach for nonlinear hyperbolic conservation laws.
    Choe, K.Y.; Holsapple, K.A.
    Computer methods in applied mechanics and engineering, 1992, vol. 95, no. 2, pp. 141, Ingenta.  
  95. Taylor - Galerkin - based finite element method for turbulent flows.
    Jiang, C. B.; Kawahara, M.; Kashiyama, K.
    Fluid dynamics research, 1992, vol. 9, no. 4, pp. 165, Ingenta.   
  96. A Galerkin Method for the Forward-Backward Heat Equation  
    A. K. Aziz; J.-L. Liu  
    Mathematics of Computation > Vol. 56, No. 193 (Jan., 1991), pp. 35-44, Jstor.   
  97. The Sinc-Galerkin Method for Fourth-Order Differential Equations   
    Ralph C. Smith, Gary A. Bogar, Kenneth L. Bowers, John Lund   
    SIAM Journal on Numerical Analysis, Vol. 28, No. 3. (Jun., 1991), pp. 760-788, Jstor.  
  98. Stability Analysis of the Nonlinear Galerkin Method  
    R. Temam  
    Mathematics of Computation > Vol. 57, No. 196 (Oct., 1991), pp. 477-505, Jstor.   
  99. Convergence of the Galerkin Method for Two-Dimensional Electromagnetic Problems  
    H. P. Urbach  
    SIAM Journal on Numerical Analysis > Vol. 28, No. 3 (Jun., 1991), pp. 697-710, Jstor.    
  100. A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation  
    Todd E. Peterson  
    SIAM Journal on Numerical Analysis > Vol. 28, No. 1 (Feb., 1991), pp. 133-140, Jstor.     
  101. Error Analysis of Some Galerkin Least Squares Methods for the Elasticity Equations  
    Leopoldo P. Franca; Rolf Stenberg  
    SIAM Journal on Numerical Analysis > Vol. 28, No. 6 (Dec., 1991), pp. 1680-1697, Jstor.      
  102. An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables   
    Ryan I. Fernandes; Graeme Fairweather  
    SIAM Journal on Numerical Analysis > Vol. 28, No. 5 (Oct., 1991), pp. 1265-1281, Jstor.      
  103. The Taylor-Galerkin discontinuous finite element method-An explicit scheme for nonlinear hyperbolic conservation laws.
    Choe, K.Y.; Holsapple, K.A.
    Finite elements in analysis and design, 1991, vol. 10, no. 3, pp. 243, Ingenta.   
  104. Galerkin/Runge-Kutta Discretizations for Semilinear Parabolic Equations  
    Stephen L. Keeling  
    SIAM Journal on Numerical Analysis > Vol. 27, No. 2 (Apr., 1990), pp. 394-418, Jstor.   
  105. Characteristic Galerkin Methods for Scalar Conservation Laws in One Dimension  
    P. N. Childs; K. W. Morton  
    SIAM Journal on Numerical Analysis > Vol. 27, No. 3 (Jun., 1990), pp. 553-594, Jstor.    
  106. A Hybrid Perturbation-Galerkin Technique that Combines Multiple Expansions  
    James F. Geer, Carl M. Andersen  
    SIAM Journal on Applied Mathematics, Vol. 50, No. 5. (Oct., 1990), pp. 1474-1495, Jstor.  
  107. A Stabilized Galerkin Method for a Third-Order Evolutionary Problem  
    G. Fairweather; J. M. Sanz-Serna; I. Christie  
    Mathematics of Computation > Vol. 55, No. 192 (Oct., 1990), pp. 497-507, Jstor.   
  108. Galerkin Methods for Nonlinear Parabolic Integrodifferential Equations with Nonlinear Boundary Conditions  
    Yanping Lin  
    SIAM Journal on Numerical Analysis > Vol. 27, No. 3 (Jun., 1990), pp. 608-621, Jstor.    
  109. A Subdomain-Galerkin/Least Squares Method for First-Order Elliptic Systems in the Plane  
    Ching-Lung Chang; Max D. Gunzburger  
    SIAM Journal on Numerical Analysis > Vol. 27, No. 5 (Oct., 1990), pp. 1197-1211, Jstor.     
  110. A Sequence of Galerkin Approximations to the Center Manifold for a Certain Class of Nonlinear Partial Differential Equational Dynamical Systems  
    R. L. Ingraham  
    SIAM Journal on Applied Mathematics > Vol. 50, No. 4 (Aug., 1990), pp. 956-971, Jstor.      
  111. The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case  
    Bernardo Cockburn; Suchung Hou; Chi-Wang Shu  
    Mathematics of Computation > Vol. 54, No. 190 (Apr., 1990), pp. 545-58, Jstor.  
  112. The effect of quadrature errors on the collocation-Galerkin solution of the two-point boundary value problem.    
    Kolodziejczyk, Janusz A.    
    Demonstratio Math. 22 (1989), no. 3, 741--754, MathSciNet.  
  113. On spline approximation for a class of integral equations. I. Galerkin and collocation methods with piecewise polynomials.    
    Elschner, Johannes    
    Math. Methods Appl. Sci. 10 (1988), no. 5, 543--559, MathSciNet.  
  114. Convergence Analysis for a Nonsymmetric Galerkin Method for a Class of Singular Boundary Value Problems in One Space Dimension   
    Kenneth Eriksson, Yi-Yong Nie   
    Mathematics of Computation, Vol. 49, No. 179. (Jul., 1987), pp. 167-186, Jstor.  
  115. An a priori error estimate for the solution of a boundary value problem for ordinary differential equations by the Petrov-Galerkin method. (Czech)
    Dalík, Josef
    Kni\v znice Odborn. Ved. Spis\ocirc u Vysoké. Ucení Tech. v Brn\v e A No. 35 (1987), 19--28, MathSciNet.  
  116. On the Galerkin and Collocation Methods for a Cauchy Singular Integral Equation   
    George Miel   
    SIAM Journal on Numerical Analysis, Vol. 23, No. 1. (Feb., 1986), pp. 135-143, Jstor.  
  117. Symmetrization of the Sinc-Galerkin Method for Boundary Value Problems   
    John Lund   
    Mathematics of Computation, Vol. 47, No. 176. (Oct., 1986), pp. 571-588, Jstor.  
  118. Galerkin's approximation and existence theorems for a nonlinear boundary value problem in ordinary differential equations.    
    Schneider, Zdenek    
    Acta Math. Univ. Comenian. 44/45 (1984), 275--287, MathSciNet.  
  119. The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics   
    W. R. Dyksen, E. N. Houstis, R. E. Lynch, J. R. Rice   
    SIAM Journal on Numerical Analysis, Vol. 21, No. 4. (Aug., 1984), pp. 695-715, Jstor.  
  120. Galerkin Methods for Singular Boundary Value Problems in One Space Dimension   
    Kenneth Eriksson, Vidar Thomee   
    Mathematics of Computation, Vol. 42, No. 166. (Apr., 1984), pp. 345-367, Jstor.  
  121. On the H^-1-Galerkin Method for Second-Order Linear Two-Point Boundary Value Problems   
    Graeme Fairweather, Patrick Keast, Julio Cesar Diaz   
    SIAM Journal on Numerical Analysis, Vol. 21, No. 2. (Apr., 1984), pp. 314-326, Jstor.  
  122. Galerkin Methods for Two-Point Boundary Value Problems for First Order Systems   
    William J. Layton   
    SIAM Journal on Numerical Analysis, Vol. 20, No. 1. (Feb., 1983), pp. 161-171, Jstor.  
  123. Discontinuous Galerkin Methods for Ordinary Differential Equations   
    M. Delfour, W. Hager, F. Trochu   
    Mathematics of Computation, Vol. 36, No. 154. (Apr., 1981), pp. 455-473, Jstor.  
  124. Bounds of Galerkin Projections on Splines with Highly Nonuniform Meshes  
    Bernd Gusmann  
    SIAM Journal on Numerical Analysis, Vol. 18, No. 6. (Dec., 1981), pp. 1109-1119, Jstor.  
  125. Discontinuous Galerkin methods for ordinary differential equations.
    Delfour, M.; Hager, W.; Trochu, F.
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  126. On a modification of Galerkin's method for a boundary value problem for an ordinary differential equation. (Russian)
    Kucherenko, È. I.
    Ukrain. Mat. Zh. 33 (1981), no. 5, 597--603, 715, MathSciNet.  
  127. A "Sinc-Galerkin" Method of Solution of Boundary Value Problems   
    Frank Stenger   
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  128. Galerkin's method for an ordinary differential equation with a small parameter. (Russian)
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  129. Uniform Convergence of Galerkin's Method for Splines on Highly Nonuniform Meshes  
    Frank Natterer  
    Mathematics of Computation, Vol. 31, No. 138. (Apr., 1977), pp. 457-468, Jstor.  
  130. A Collocation-Galerkin Method for the Two Point Boundary Value Problem Using Continuous Piecewise Polynomial Spaces   
    Julio Cesar Diaz   
    SIAM Journal on Numerical Analysis, Vol. 14, No. 5. (Sep., 1977), pp. 844-858, Jstor.  
  131. Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems   
    Roderick J. Dunn, Jr., Mary Fanett Wheeler   
    SIAM Journal on Numerical Analysis, Vol. 13, No. 5. (Oct., 1976), pp. 720-733, Jstor.  
  132. Linear Multistep Methods and Galerkin Procedures for Initial Boundary Value Problems   
    E. Gekeler   
    SIAM Journal on Numerical Analysis, Vol. 13, No. 4. (Sep., 1976), pp. 536-548, Jstor.  
  133. On Maximum Norm Error Estimates for Galerkin Approximations to One- Dimensional Second Order Parabolic Boundary Value Problems  
    Lars Wahlbin  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 2. (Apr., 1975), pp. 177-182, Jstor.  
  134. Optimal Linf Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems  
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    Mathematics of Computation, Vol. 29, No. 130. (Apr., 1975), pp. 475-483, Jstor.  
  135. A note on local Galerkin and collocation methods for ordinary differential equations.    
    Nørsett, Syvert P.    
    Utilitas Math. 7 (1975), 197--209, MathSciNet.  
  136. A Galerkin Procedure for Estimating the Flux for Two-Point Boundary Value Problems  
    Mary Fanett Wheeler  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 4. (Sep., 1974), pp. 764-768, Jstor.  
  137. The Relation between the Galerkin and Collocation Methods Using Smooth Splines   
    Blair Swartz, Burton Wendroff   
    SIAM Journal on Numerical Analysis, Vol. 11, No. 5. (Oct., 1974), pp. 994-996, Jstor.  
  138. An Optimal Linf Error Estimate for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems  
    Mary Fanett Wheeler  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 5. (Oct., 1973), pp. 914-917, Jstor.  
  139. Discrete Galerkin and Related One-Step Methods for Ordinary Differential Equations   
    Bernie L. Hulme   
    Mathematics of Computation, Vol. 26, No. 120. (Oct., 1972), pp. 881-891, Jstor.  
  140. Galerkin Approximations and the Optimization of Difference Schemes for Boundary Value Problems  
    W. L. Miranker
    SIAM Journal on Numerical Analysis, Vol. 8, No. 3. (Sep., 1971), pp. 486-496, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005