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@article{MM_2007_19_7_a9, author = {O. V. Diyankov}, title = {The illegible nets method for the partial differential equations}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {101--111}, publisher = {mathdoc}, volume = {19}, number = {7}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2007_19_7_a9/} }
O. V. Diyankov. The illegible nets method for the partial differential equations. Matematičeskoe modelirovanie, Tome 19 (2007) no. 7, pp. 101-111. http://geodesic.mathdoc.fr/item/MM_2007_19_7_a9/
[1] S. M. Bakhrakh, Yu. P. Glagoleva, M. S. Samigulin, V. D. Frolov, N. N. Yanenko, Yu. V. Yanilkin, “Raschet gazo-dinamicheskikh techenii na osnove metoda kontsentratsii”, DAN, 257:3 (1981), 566–569 | Zbl
[2] N. N. Anuchina, V. I. Volkov, N. S. Es'kov, Numerical Modeling of Multi-Dimensional Flows with Large Deformations, Russian–U.S. Weapons Laboratories introductory technical exchange in computational and computer science, Livermore, 1992
[3] M. W. Evans, F. H. Harlow, The particle-in-cell method for hydrodynamic calculations, Los Alamos Scientific Lab. rept. LA-2139, Los Alamos, 1957
[4] N. N. Anuchina, O metode rascheta techenii szhimaemykh zhidkostei s bolshimi deformatsiyami, ChMMSS, 1, no. 4, 1970 | MR
[5] O. M. Belotserkovskii, Yu. M. Davydov, “Metod bolshikh chastits dlya zadach gazovoi dinamiki”, ChMMSS, 1:3 (1970), 3–23
[6] V. F. Dyachenko, “The free point method for problems of continuos media”, Computer Methods in Applied Mechanics and Engineering, 2 (1973), 265–277 | DOI | MR | Zbl
[7] O. M. Belotserkovskii, Yu. M. Davydov, Metod bolshikh chastits v gazovoi dinamiki, Nauka, M., 1982
[8] J. J. Monaghan, “Why Particle Methods Work”, Siam J. Sci. Sat. Comput., 3:4 (1982), 423–433 | MR
[9] G. R. Liu, Meshfree Methods, Moving Beyond the Finite Element Method, CRC Press, 2003 | MR
[10] G. R. Liu, M. B. Liu, Smoothed Particles Hydrodynamics, a meshfree particle method, World Scientific Publishing Co, 2003
[11] Yu. P. Glagoleva, B. M. Zhogov, Yu. F. Kiryanov, V. D. Malshakov, L. V. Nesterenko, I. D. Sofronov, “Osnovy metoda “Meduza””, ChMMSS, 3:2 (1972)
[12] V. V. Rasskasova, V. G. Rogachev, N. F. Svidinskaya, “Two-Dimensional Gas Dynamics Effects During the Shell Movement in the conical Fusion Target”, VANT, series Methods and Codes for Numerical Solution of the Mathematical Physics Problems, 1985, no. 3, 39–47
[13] O. V. Diyankov, S. S. Kotegov, Y. Y. Kuznetsov, N. N. Kuznetsova, A. A. Maleyev, A. A. Nadolsky, V. Y. Pravilnikov, IGM-Cells. Two-Dimensional Code for Modeling of Gas-Dynamic Flows with Large Deformations, Final Report on the LLNL Contract No B329177. Code structure and code description, algorithms, users guide, 1997 | Zbl
[14] A. Kurganov, E. Tadmor, “New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations”, J. of Comp. Phys., 160 (2000), 214–282 | MR
[15] Jorge Nocedal, Stephen J. Wright, Numerical Optimization, Springer, 1999 | MR
[16] George B. Dantzig, Mukund N. Thapa, Linear Programming. 2: Theory and Extensions, Springer, 2003 | MR