A direct method for solving radiative transfer equations in the $P_1$ approximation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 11, pp. 1907-1918 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1998_38_11_a12,
     author = {V. A. Lykov and V. G. Nikolaev},
     title = {A direct method for solving radiative transfer equations in the $P_1$ approximation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1907--1918},
     year = {1998},
     volume = {38},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a12/}
}
TY  - JOUR
AU  - V. A. Lykov
AU  - V. G. Nikolaev
TI  - A direct method for solving radiative transfer equations in the $P_1$ approximation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1998
SP  - 1907
EP  - 1918
VL  - 38
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a12/
LA  - ru
ID  - ZVMMF_1998_38_11_a12
ER  - 
%0 Journal Article
%A V. A. Lykov
%A V. G. Nikolaev
%T A direct method for solving radiative transfer equations in the $P_1$ approximation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1998
%P 1907-1918
%V 38
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a12/
%G ru
%F ZVMMF_1998_38_11_a12
V. A. Lykov; V. G. Nikolaev. A direct method for solving radiative transfer equations in the $P_1$ approximation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 11, pp. 1907-1918. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a12/

[1] Dunn J., Young B. K. F., Hankla A. K. et al., Study of supra-thermal electrons and $K$-alpha $X$-rays from high intensity 500 fs laser-produced plasmas, Rept 12th Internat. Conf. LI RPP. Osaka, Japan, April 24–28,1995. Book of Abstracts, 170

[2] Rousse A., Geindre J. P., Audebert P. et al., Radiative pumping generated by a hot electron $K$-alpha $X$-ray source in femtosecond laser-produced plasmas experiments, Rept 12th Internat. Conf. LI RPP. Osaka, Japan, April 24–28, 1995. Book of Abstracts, 51

[3] Nickles P. V., Schnuerer M., Kalachnikov M. et al., Absorption, hot electrons and hard $X$-ray emission from laser produced plasma at $I\gg10$w/cm, Rept 12th Internat. Conf. LI RPP. Osaka, Japan, April 24–28, 1995. Book of Abstracts, 231

[4] Hares J. D., Kilkenny J. D., Key M. H. et al., “Measurement of fast-electron energy spectra and preheating in laserirradiated targets”, Phys. Rev. Letts, 42:18 (1979), 1216–1219 | DOI

[5] Lykov V. A., Shirokovskaya O. S., “Raschet mishenei dlya LTS po programme “ZARYa” s uchetom spektralnogo perenosa bystrykh elektronov i samosoglasovannykh elektricheskikh polei”, VANT. Ser. Metodiki i programmy chisl. resheniya zadach matem. fiz., 1988, no. 3, 73–78

[6] Guskov S. Yu., Zverev V. V., “Perenos energii bystrymi elektronami v sfericheskikh lazernykh mishenyakh”, Teoriya szhatiya mishenei izlucheniem dlinnovolnovykh lazerov, 170, Nauka, M., 1986, 46–72

[7] Yabe T., Mima K., Yoshikawa K., “Anomalous effects of hot-electron transport and ablation structure”, Nucl. Fusion., 21:7 (1981), 803–816 | DOI

[8] Shvarts D., Jablon C., “A dual treatment of suprathermal electron transport in laser fusion studies”, Nucl. Fusion., 19:11 (1979), 1457–1472 | DOI

[9] Wienke B. R., “Transport equation in modified Eulerian coordinates”, Phys. Fluids, 17:6 (1974), 1135–1138 | DOI | Zbl

[10] Lykov B. A., Nikolaev V. G., Metody resheniya uravnenii perenosa nadteplovykh elektronov v lazernoi plazme, Preprint VNIITF 96-91

[11] Avrorin E. N., Zuev A. I., Lazarev Yu. N. i dr., “Raschet mishenei dlya LTS po programme “ZARYa” 1. Model pogloscheniya lazernogo izlucheniya sfericheskoi mishenyu”, VANT. Ser. Metodiki i programmy chisl. resheniya zadach matem. fiz., 1985, no. 2, 10–20

[12] Chetverushkin B. N., Matematicheskoe modelirovanie zadach dinamiki izluchayuschego gaza, Nauka, M., 1985 | Zbl

[13] Goldin V. Ya., “Kvazidiffuzionnyi metod resheniya kineticheskogo uravneniya”, Zh. vychisl. matem. i matem. fiz., 4:6 (1964), 1074–1084 | MR

[14] Zuev A. I., “Neyavnye metody resheniya uravnenii radiatsionnoi gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 31:1 (1992), 82–96 | MR

[15] Barysheva N. M., Zuev A. I., Karlykhanov N. G. i dr., “Neyavnaya skhema dlya chislennogo modelirovaniya fizicheskikh protsessov v lazernoi plazme”, Zh. vychisl. matem. i matem. fiz., 22:2 (1982), 401–410 | MR

[16] Zuev A. I., “O trekhsloinoi skheme dlya chislennogo integrirovaniya uravnenii gazodinamiki i nelineinoi teploprovodnosti”, Chisl. metody resheniya zadach matem. fiz., Nauka, M., 1966, 230–236

[17] Nikolaev V. G., “Odin metod resheniya uravnenii trekhtemperaturnoi gazodinamiki”, VANT. Ser. Metodiki i programmy chisl. resheniya zadach matem. fiz., 1985, no. 2(19), 62–67

[18] Killin Dzh., Marks K. D., “Reshenie uravneniya Fokkera–Planka dlya plazmy v lovushke s magnitnymi probkami”, Vychisl. metody v fiz. plazmy, Mir, M., 1974, 416–482

[19] Eliseev G. M., Klinishov G. E., Uravnenie sostoyaniya tverdykh veschestv i ego splain-approksimatsiya, Preprint No 173, IPMatem. AN SSSR, M., 1982

[20] Lee Y. T., More R. M., “An electron conductivity model for dense plasmas”, Phys. Fluids, 27 (1984), 1273–1286 | DOI | Zbl

[21] Lykov V. A., Chernyakov V. E., Chikulaev A. A. et al., The simulation of hard $X$-ray generation at ultra-short laser pulse interection with hign-$Z$ targets, Rept 13th Conf. Laser Interact. and Related Plasma Phenomena Monterey., USA, April, 1997