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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki

Zh. Vychisl. Mat. Mat. Fiz., 1962, Volume 2, Number 1, Pages 57–79 (Mi zvmmf9096)

Some difference schemes for solving boundary problems
E. G. D'yakonov

This publication is cited in the following articles:
  1. Baolin Kuang, Shusen Xie, Hongfei Fu, “Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations”, Communications in Nonlinear Science and Numerical Simulation, 2025, 108749  crossref
  2. Eng Leong Tan, 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2022, 133  crossref
  3. Eng Leong Tan, “From Time-Collocated to Leapfrog Fundamental Schemes for ADI and CDI FDTD Methods”, Axioms, 11:1 (2022), 23  crossref
  4. Rex Kuan-Shuo Liu, Tony Wen-Hann Sheu, “A time marching strategy for solving parabolic and elliptic equations with Neumann boundary conditions”, Numerical Heat Transfer, Part B: Fundamentals, 74:2 (2018), 481  crossref
  5. Liping Gao, Shouhui Zhai, “Modified Splitting FDTD Methods for Two-Dimensional Maxwell's Equations”, Mathematical Problems in Engineering, 2017 (2017), 1  crossref
  6. Eng Leong Tan, “Fundamental Schemes for Efficient Unconditionally Stable Implicit Finite-Difference Time-Domain Methods”, IEEE Trans. Antennas Propagat., 56:1 (2008), 170  crossref
  7. A. Q. M. Khaliq, E. H. Twizell, “$L_0 $-Stable Splitting Methods for the Simple Heat Equation in Two Space Dimensions with Homogeneous Boundary Conditions”, SIAM J. Numer. Anal., 23:3 (1986), 473  crossref
  8. J. G. Verwer, H. B. de Vries, “Global Extrapolation of a First Order Splitting Method”, SIAM J. Sci. and Stat. Comput., 6:3 (1985), 771  crossref
  9. B. P. Sommeijer, P. J. van der Houwen, J. G. Verwer, “On the treatment of time‐dependent boundary conditions in splitting methods for parabolic differential equations”, Numerical Meth Engineering, 17:3 (1981), 335  crossref
  10. John L.L Morris, “On the numerical solution of a heat equation associated with a thermal print-head”, Journal of Computational Physics, 5:2 (1970), 208  crossref
  11. A. R. Gourlay, Andrew R. Mitchell, “The Equivalence of Certain Alternating Direction and Locally One-Dimensional Difference Methods”, SIAM J. Numer. Anal., 6:1 (1969), 37  crossref
  12. S. A. Krjakvina, “On the accuracy of varying direction schemes for the heat conduction equation”, U.S.S.R. Comput. Math. Math. Phys., 6:3 (1966), 242–252  mathnet  mathnet  crossref
  13. Bert E. Hubbard, “Alternating Direction Schemes for the Heat Equation in a General Domain”, Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, 2:3 (1965), 448  crossref


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