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Application of the Method of Lines to Parabolic Partial Differential Equations With Error Estimates

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A. ZafarullahAuthors Info & Claims

Journal of the ACM (JACM), Volume 17, Issue 2

Pages 294 - 302

https://doi.org/10.1145/321574.321583

Published: 01 April 1970 Publication History

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References

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SARMIN, E.N. Application of the method of straight lines to the solution of boundary value problems for certain non-self-conjugate two-dimensional second order elliptic equations. USSR Computational Math. and Math. Phys. 5, 5 (Feb. 1968), 240-246 (transl. and pub. by Pergamon Press, New York).

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LIEBERSTEIN, H.M. A Course in Numerical Analysis. Harper & Row, New York, 1968.

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Berman JSchwerdtner PPeherstorfer B(2024)Neural Galerkin schemes for sequential-in-time solving of partial differential equations with deep networksNumerical Analysis Meets Machine Learning10.1016/bs.hna.2024.05.006(389-418)Online publication date: 2024
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Hasan CCárthaigh RWieczorek S(2023)Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting EcosystemsSIAM Journal on Applied Dynamical Systems10.1137/22M153662522:4(2991-3024)Online publication date: 30-Oct-2023
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Zamani HSheshyekani K(2022)Method of Line for Modeling of Grounding Electrodes Buried in Stratified Multilayer SoilIEEE Transactions on Electromagnetic Compatibility10.1109/TEMC.2022.321046964:6(2131-2140)Online publication date: Dec-2022
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Index Terms

Application of the Method of Lines to Parabolic Partial Differential Equations With Error Estimates
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Partial differential equations

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Published In

Journal of the ACM Volume 17, Issue 2

April 1970

200 pages

ISSN:0004-5411

EISSN:1557-735X

DOI:10.1145/321574

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 April 1970

Published in JACM Volume 17, Issue 2

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Berman JSchwerdtner PPeherstorfer B(2024)Neural Galerkin schemes for sequential-in-time solving of partial differential equations with deep networksNumerical Analysis Meets Machine Learning10.1016/bs.hna.2024.05.006(389-418)Online publication date: 2024
https://doi.org/10.1016/bs.hna.2024.05.006
Hasan CCárthaigh RWieczorek S(2023)Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting EcosystemsSIAM Journal on Applied Dynamical Systems10.1137/22M153662522:4(2991-3024)Online publication date: 30-Oct-2023
https://doi.org/10.1137/22M1536625
Zamani HSheshyekani K(2022)Method of Line for Modeling of Grounding Electrodes Buried in Stratified Multilayer SoilIEEE Transactions on Electromagnetic Compatibility10.1109/TEMC.2022.321046964:6(2131-2140)Online publication date: Dec-2022
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Aliyi KMuleta H(2021)Numerical Method of the Line for Solving One Dimensional Initial- Boundary Singularly Perturbed Burger EquationIndian Journal of Advanced Mathematics10.54105/ijam.B1103.101221(4-14)Online publication date: 10-Oct-2021
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Fully spectral collocation method for nonlinear parabolic partial integro-differential equations

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