Mazhukin, A. V.; Mazhukin, V. I. Dynamic adaptation for parabolic equations. (Russian. English summary) Zbl 07812357 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 11, 1913-1936 (2007); translation in Comput. Math. Math. Phys. 47, No. 11, 1833-1855 (2007). MSC: 35F30 PDFBibTeX XMLCite \textit{A. V. Mazhukin} and \textit{V. I. Mazhukin}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 11, 1913--1936 (2007; Zbl 07812357); translation in Comput. Math. Math. Phys. 47, No. 11, 1833--1855 (2007) Full Text: DOI MNR
Savel’ev, A. D. High-order composite compact schemes for simulation of viscous gas flows. (Russian. English summary) Zbl 07811695 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 8, 1387-1401 (2007); translation in Comput. Math. Math. Phys. 47, No. 8, 1332-1346 (2007). MSC: 76M20 PDFBibTeX XMLCite \textit{A. D. Savel'ev}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 8, 1387--1401 (2007; Zbl 07811695); translation in Comput. Math. Math. Phys. 47, No. 8, 1332--1346 (2007) Full Text: DOI MNR
Baranov, N. A.; Turchak, L. I. Numerical solution to the Kolmogorov-Feller equation. (Russian. English summary) Zbl 07811680 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 7, 1221-1228 (2007); translation in Comput. Math. Math. Phys. 47, No. 7, 1171-1178 (2007). MSC: 65R20 PDFBibTeX XMLCite \textit{N. A. Baranov} and \textit{L. I. Turchak}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 7, 1221--1228 (2007; Zbl 07811680); translation in Comput. Math. Math. Phys. 47, No. 7, 1171--1178 (2007) Full Text: DOI MNR
Teyssier, Romain A high order Godunov scheme with constrained transport and adaptive mesh refinement for astrophysical and geophysical MHD. (English) Zbl 1505.76066 Geophys. Astrophys. Fluid Dyn. 101, No. 3-4, 199-225 (2007). MSC: 76M20 76W05 65M20 PDFBibTeX XMLCite \textit{R. Teyssier}, Geophys. Astrophys. Fluid Dyn. 101, No. 3--4, 199--225 (2007; Zbl 1505.76066) Full Text: DOI
Wu, Cheng-Chin A high order WENO finite difference scheme for incompressible fluids and magnetohydrodynamics. (English) Zbl 1505.76068 Geophys. Astrophys. Fluid Dyn. 101, No. 1, 37-61 (2007). MSC: 76M20 76W05 65M06 PDFBibTeX XMLCite \textit{C.-C. Wu}, Geophys. Astrophys. Fluid Dyn. 101, No. 1, 37--61 (2007; Zbl 1505.76068) Full Text: DOI
Kuzikov, S. S. Methods of numerical calculation of a flow of a stratified liquid. (Russian. English summary) Zbl 1374.76168 Izv. Altaĭ. Gos. Univ., Ser. Mat. Inform. Fiz. 2007, No. 1, 50-51 (2007). MSC: 76M20 76M10 76D50 PDFBibTeX XMLCite \textit{S. S. Kuzikov}, Izv. Altaĭ. Gos. Univ., Ser. Mat. Inform. Fiz. 2007, No. 1, 50--51 (2007; Zbl 1374.76168)
Kovyrkina, O. A.; Ostapenko, V. V. Asymptotic expansion of a difference solution in the neighborhood of strong discontinuity. (Russian. English summary) Zbl 1249.65168 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 7, No. 4, 49-73 (2007). MSC: 65M06 76M20 76L05 35L67 35L40 PDFBibTeX XMLCite \textit{O. A. Kovyrkina} and \textit{V. V. Ostapenko}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 7, No. 4, 49--73 (2007; Zbl 1249.65168)
Liu, Caixia; Li, Hui; Zhang, Yingqi; Lie, Wenhong Research and application of a semi-discrete central-upwind scheme. (Chinese. English summary) Zbl 1226.65085 J. Xinyang Norm. Univ., Nat. Sci. 20, No. 4, 412-415 (2007). MSC: 65M20 65M06 35L65 76B15 76M20 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Xinyang Norm. Univ., Nat. Sci. 20, No. 4, 412--415 (2007; Zbl 1226.65085)
Voevodin, A. F.; Vorozhtsov, E. V. A mathematical model of the quasi-two-dimensional fluid flow in the compensator channel of a drilling mechanism. (Russian) Zbl 1224.76029 Sib. Zh. Ind. Mat. 10, No. 1, 52-61 (2007). MSC: 76B75 76M20 PDFBibTeX XMLCite \textit{A. F. Voevodin} and \textit{E. V. Vorozhtsov}, Sib. Zh. Ind. Mat. 10, No. 1, 52--61 (2007; Zbl 1224.76029)
Hasanov, Alemdar Variational approach to non-linear boundary value problems for elasto-plastic incompressible bending plate. (English) Zbl 1200.74013 Int. J. Non-Linear Mech. 42, No. 5, 711-721 (2007). MSC: 74B20 74S20 74C05 74K20 PDFBibTeX XMLCite \textit{A. Hasanov}, Int. J. Non-Linear Mech. 42, No. 5, 711--721 (2007; Zbl 1200.74013) Full Text: DOI
Kovenya, V. M.; Slyunyaev, A. Yu. Simulation of supersonic gas flows in a channel. (Russian. English summary) Zbl 1201.76145 Vychisl. Tekhnol. 12, Spec. Iss. 4, 32-41 (2007). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{V. M. Kovenya} and \textit{A. Yu. Slyunyaev}, Vychisl. Tekhnol. 12, 32--41 (2007; Zbl 1201.76145)
Beketaeva, A. O.; Najmanova, A. Zh. Application of an essentially nonoscillatory scheme to modeling of multi-component flows. (Russian. English summary) Zbl 1201.76294 Vychisl. Tekhnol. 12, Spec. Iss. 4, 17-25 (2007). MSC: 76T30 76M20 PDFBibTeX XMLCite \textit{A. O. Beketaeva} and \textit{A. Zh. Najmanova}, Vychisl. Tekhnol. 12, 17--25 (2007; Zbl 1201.76294)
Kovenya, V. M.; Slyunyaev, A. Yu. Modification of splitting algorithms for solution of the Euler and Navier-Stokes equations. (Russian. English summary) Zbl 1201.76144 Vychisl. Tekhnol. 12, No. 3, 71-86 (2007). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{V. M. Kovenya} and \textit{A. Yu. Slyunyaev}, Vychisl. Tekhnol. 12, No. 3, 71--86 (2007; Zbl 1201.76144)
Paasonen, V. I. High-order methods for construction of hyperbolic splines. (Russian. English summary) Zbl 1212.65290 Vychisl. Tekhnol. 12, No. 2, 115-121 (2007). MSC: 65L10 65Y05 65D07 65L12 34B15 34B10 PDFBibTeX XMLCite \textit{V. I. Paasonen}, Vychisl. Tekhnol. 12, No. 2, 115--121 (2007; Zbl 1212.65290)
Grishin, A. M.; Yakimov, A. S. Iteration-interpolation method for solving the 3D wave equation. (Russian. English summary) Zbl 1212.65317 Vychisl. Tekhnol. 12, No. 1, 22-34 (2007). MSC: 65M06 65M12 35L05 PDFBibTeX XMLCite \textit{A. M. Grishin} and \textit{A. S. Yakimov}, Vychisl. Tekhnol. 12, No. 1, 22--34 (2007; Zbl 1212.65317)
Freitag, M. A.; Morton, K. W. The Preissmann box scheme and its modification for transcritical flows. (English) Zbl 1194.76176 Int. J. Numer. Methods Eng. 70, No. 7, 791-811 (2007). MSC: 76M20 76B10 PDFBibTeX XMLCite \textit{M. A. Freitag} and \textit{K. W. Morton}, Int. J. Numer. Methods Eng. 70, No. 7, 791--811 (2007; Zbl 1194.76176) Full Text: DOI
Tabatabaei, Amir Hossein A. E.; Shakour, Elham; Dehghan, Mehdi Some implicit methods for the numerical solution of Burgers’ equation. (English) Zbl 1193.65160 Appl. Math. Comput. 191, No. 2, 560-570 (2007). MSC: 65M06 76D99 PDFBibTeX XMLCite \textit{A. H. A. E. Tabatabaei} et al., Appl. Math. Comput. 191, No. 2, 560--570 (2007; Zbl 1193.65160) Full Text: DOI
Ozbilge, Ebru An analysis of conservative finite difference schemes for differential equations with discontinuous coefficients. (English) Zbl 1193.65136 Appl. Math. Comput. 191, No. 1, 183-192 (2007). MSC: 65L12 PDFBibTeX XMLCite \textit{E. Ozbilge}, Appl. Math. Comput. 191, No. 1, 183--192 (2007; Zbl 1193.65136) Full Text: DOI
Kaladze, T.; Rogava, J.; Tsamalashvili, L.; Tsiklauri, M. Implicit difference scheme for the numerical resolution of the Charney-Obukhov equation with variable coefficients. (English) Zbl 1187.76710 Bull. TICMI 11, 31-37 (2007). MSC: 76M20 65M06 35Q51 35Q53 86A10 PDFBibTeX XMLCite \textit{T. Kaladze} et al., Bull. TICMI 11, 31--37 (2007; Zbl 1187.76710) Full Text: EuDML
Komurjishvili, O. Fractional-step difference schemes for multidimensional parabolic type equation. (English) Zbl 1187.65092 Appl. Math. Inform. Mech. 12, No. 2, 33-37 (2007). MSC: 65M06 PDFBibTeX XMLCite \textit{O. Komurjishvili}, Appl. Math. Inform. Mech. 12, No. 2, 33--37 (2007; Zbl 1187.65092) Full Text: Link
Kandilarov, J. D. Immersed interface method for a system of linear reaction-diffusion equations with nonlinear singular own sources. (English) Zbl 1274.65236 Kragujevac J. Math. 30, 151-170 (2007). MSC: 65M06 35K57 PDFBibTeX XMLCite \textit{J. D. Kandilarov}, Kragujevac J. Math. 30, 151--170 (2007; Zbl 1274.65236)
Udovichenko, N. S. The effect of a parameter in a boundary condition on the stability of difference schemes. (English. Russian original) Zbl 1177.65139 Mosc. Univ. Comput. Math. Cybern. 31, No. 3, 89-94 (2007); translation from Vestn. Mosk. Univ., Ser. XV 2007, No. 3, 9-16 (2007). MSC: 65M12 65M06 35K05 PDFBibTeX XMLCite \textit{N. S. Udovichenko}, Mosc. Univ. Comput. Math. Cybern. 31, No. 3, 89--94 (2007; Zbl 1177.65139); translation from Vestn. Mosk. Univ., Ser. XV 2007, No. 3, 9--16 (2007) Full Text: DOI
Han, Weimin; Sofonea, M.; Kazmi, Kamran Analysis and numerical solution of a frictionless contact problem for electro-elastic-visco-plastic materials. (English) Zbl 1173.74362 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3915-3926 (2007). MSC: 74M15 74S05 74S20 PDFBibTeX XMLCite \textit{W. Han} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3915--3926 (2007; Zbl 1173.74362) Full Text: DOI
Surla, Katarina; Uzelac, Zorica; Teofanov, Ljiljana Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem. (English) Zbl 1199.65253 Kragujevac J. Math. 30, 141-149 (2007). Reviewer: Boško Jovanović (Beograd) MSC: 65L10 65L60 65L20 34B15 34E15 65L12 PDFBibTeX XMLCite \textit{K. Surla} et al., Kragujevac J. Math. 30, 141--149 (2007; Zbl 1199.65253)
Sun, Dong; Manoranjan, V. S.; Yin, Hong-Ming Numerical solutions for a coupled parabolic equations arising induction heating processes. (English) Zbl 1163.65324 Discrete Contin. Dyn. Syst. 2007, Suppl., 956-964 (2007). MSC: 65M06 80M20 PDFBibTeX XMLCite \textit{D. Sun} et al., Discrete Contin. Dyn. Syst. 2007, 956--964 (2007; Zbl 1163.65324)
Hoarau, E.; David, C.; Sagaut, P.; Le, T.-H. Lie group study of finite difference schemes. (English) Zbl 1163.65321 Discrete Contin. Dyn. Syst. 2007, Suppl., 495-505 (2007). MSC: 65M06 76M20 22E70 PDFBibTeX XMLCite \textit{E. Hoarau} et al., Discrete Contin. Dyn. Syst. 2007, 495--505 (2007; Zbl 1163.65321)
D’Alessio, S. J. D.; Kocabiyik, Serpil Numerical simulations of flow past an obliquely oscillating elliptic cylinder. (English) Zbl 1161.76043 Can. Appl. Math. Q. 15, No. 3, 247-278 (2007). MSC: 76M22 76M20 76D05 76D25 PDFBibTeX XMLCite \textit{S. J. D. D'Alessio} and \textit{S. Kocabiyik}, Can. Appl. Math. Q. 15, No. 3, 247--278 (2007; Zbl 1161.76043)
Dascal, Lorina; Ditkowski, Adi; Sochen, Nir A. On the discrete maximum principle for the Beltrami color flow. (English) Zbl 1523.65027 J. Math. Imaging Vis. 29, No. 1, 63-77 (2007). MSC: 65D19 65M06 PDFBibTeX XMLCite \textit{L. Dascal} et al., J. Math. Imaging Vis. 29, No. 1, 63--77 (2007; Zbl 1523.65027) Full Text: DOI
Zhang, Shouhui; Wang, Wenqia An \(O(h^4)\) accurate new alternating segment explicit-implicit schemes for a parabolic problem. (Chinese. English summary) Zbl 1174.65476 J. Shandong Univ., Nat. Sci. 42, No. 12, 120-126 (2007). MSC: 65M06 65Y05 65M15 65M12 35K15 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{W. Wang}, J. Shandong Univ., Nat. Sci. 42, No. 12, 120--126 (2007; Zbl 1174.65476)
Jia, Yuntao; Sun, Fangyu; Zhang, Yong Parallel algorithm of alternating band Crank-Nicolson method for the two-dimensional convector diffusion equation. (Chinese. English summary) Zbl 1174.65504 J. Zhejiang Univ., Sci. Ed. 34, No. 2, 152-157, 162 (2007). MSC: 65N06 65Y05 35J25 65N12 PDFBibTeX XMLCite \textit{Y. Jia} et al., J. Zhejiang Univ., Sci. Ed. 34, No. 2, 152--157, 162 (2007; Zbl 1174.65504)
Sun, Hong; Wang, Tongke Compact characteristic difference method based on cubic periodic spline interpolation for convection-diffusion equations. (Chinese. English summary) Zbl 1174.65468 J. Tianjin Norm. Univ., Nat. Sci. Ed. 27, No. 4, 43-47 (2007). MSC: 65M06 65M25 65M15 35K15 PDFBibTeX XMLCite \textit{H. Sun} and \textit{T. Wang}, J. Tianjin Norm. Univ., Nat. Sci. Ed. 27, No. 4, 43--47 (2007; Zbl 1174.65468)
Ren, Yuhong AGE method with high order accuracy for Dirichlet problem of the parabolic equation. (Chinese. English summary) Zbl 1174.65463 J. Tianjin Norm. Univ., Nat. Sci. Ed. 27, No. 3, 59-63 (2007). MSC: 65M06 65M12 35K20 65F10 65Y05 65M15 PDFBibTeX XMLCite \textit{Y. Ren}, J. Tianjin Norm. Univ., Nat. Sci. Ed. 27, No. 3, 59--63 (2007; Zbl 1174.65463)
Zhang, Hongwei; Wang, Tongke Improved locally one-dimensional finite difference scheme for two dimensional hyperbolic equations with nonhomogenerous boundary condition. (Chinese. English summary) Zbl 1174.65474 J. Tianjin Norm. Univ., Nat. Sci. Ed. 27, No. 1, 53-56 (2007). MSC: 65M06 65M12 35L20 65M15 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{T. Wang}, J. Tianjin Norm. Univ., Nat. Sci. Ed. 27, No. 1, 53--56 (2007; Zbl 1174.65474)
Li, Jiayong; Abudurexiti, Abuduwaili A three-level difference scheme for nonlinear evolution equation. (Chinese. English summary) Zbl 1174.65459 J. Xinjiang Univ., Nat. Sci. 24, No. 3, 304-306 (2007). MSC: 65M06 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{J. Li} and \textit{A. Abudurexiti}, J. Xinjiang Univ., Nat. Sci. 24, No. 3, 304--306 (2007; Zbl 1174.65459)
Chen, Hongwei; Yang, Guanping; Yang, Yongping; Wang, Dinghui Convection-diffusion difference scheme based on control-volume values. (Chinese. English summary) Zbl 1174.76343 Proc. CSEE 27, No. 5, 105-110 (2007). MSC: 76M20 PDFBibTeX XMLCite \textit{H. Chen} et al., Proc. CSEE 27, No. 5, 105--110 (2007; Zbl 1174.76343)
Grishchenko, O. Yu.; Onots’kyj, V. V. Two-step finite-difference algorithm for Burgers equation. (Ukrainian. English summary) Zbl 1164.65454 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 4, 145-148 (2007). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{O. Yu. Grishchenko} and \textit{V. V. Onots'kyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 4, 145--148 (2007; Zbl 1164.65454)
Zavisha, V. V.; Moskal’kov, M. M. Algorithm of numeral solution of the problem of generation of acoustic vibrations in the crystal CdS. (Ukrainian. English summary) Zbl 1164.74410 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 4, 135-138 (2007). MSC: 74F15 74H45 74S20 PDFBibTeX XMLCite \textit{V. V. Zavisha} and \textit{M. M. Moskal'kov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 4, 135--138 (2007; Zbl 1164.74410)
Vlasyuk, A. P.; Ostapchuk, O. P. Mathematical modelling of salt solution transfer by hole filtration. (Ukrainian. English summary) Zbl 1164.76415 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 4, 130-134 (2007). MSC: 76S05 PDFBibTeX XMLCite \textit{A. P. Vlasyuk} and \textit{O. P. Ostapchuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 4, 130--134 (2007; Zbl 1164.76415)
Sfyrakis, Chr. A. A numerical method for a simplified anisotropic phase field model. (English) Zbl 1161.76040 Bull. Greek Math. Soc. 54, 273-279 (2007). MSC: 76M20 76T99 80A22 80A20 PDFBibTeX XMLCite \textit{Chr. A. Sfyrakis}, Bull. Greek Math. Soc. 54, 273--279 (2007; Zbl 1161.76040)
Aloy, R.; Casabán, M. C.; Jódar, L. Constructing unconditionally time-stable numerical solutions for mixed parabolic problems. (English) Zbl 1152.65459 Comput. Math. Appl. 53, No. 11, 1773-1783 (2007). MSC: 65M06 PDFBibTeX XMLCite \textit{R. Aloy} et al., Comput. Math. Appl. 53, No. 11, 1773--1783 (2007; Zbl 1152.65459) Full Text: DOI
Zlotnik, A. A.; Ducomet, B. Stability of a symmetric finite-difference scheme with approximate transparent boundary conditions for the time-dependent Schrödinger equation. (English. Russian original) Zbl 1161.35504 Dokl. Math. 75, No. 2, 260-265 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 4, 444-449 (2007). MSC: 35Q55 65M06 65M12 PDFBibTeX XMLCite \textit{A. A. Zlotnik} and \textit{B. Ducomet}, Dokl. Math. 75, No. 2, 260--265 (2007; Zbl 1161.35504); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 4, 444--449 (2007) Full Text: DOI
Yamashita, Yumi; Kawamura, Tetuya Computation of flow around a rotating flying disk. (English) Zbl 1214.76007 Nat. Sci. Rep. Ochanomizu Univ. 58, No. 1, 39-55 (2007). MSC: 76M20 76D05 76U05 PDFBibTeX XMLCite \textit{Y. Yamashita} and \textit{T. Kawamura}, Nat. Sci. Rep. Ochanomizu Univ. 58, No. 1, 39--55 (2007; Zbl 1214.76007)
Bayada, G.; Chupin, L.; Martin, S. Viscoelastic fluids in a thin domain. (English) Zbl 1153.76015 Q. Appl. Math. 65, No. 4, 625-651 (2007). MSC: 76A10 76A20 76M20 35Q35 PDFBibTeX XMLCite \textit{G. Bayada} et al., Q. Appl. Math. 65, No. 4, 625--651 (2007; Zbl 1153.76015) Full Text: DOI Link
Shishkina, O. V. The Neumann stability of high-order symmetric schemes for convection-diffusion problems. (Russian, English) Zbl 1164.65457 Sib. Mat. Zh. 48, No. 6, 1422-1428 (2007); translation in Sib. Math. J. 48, No. 6, 1141-1146 (2007). MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{O. V. Shishkina}, Sib. Mat. Zh. 48, No. 6, 1422--1428 (2007; Zbl 1164.65457); translation in Sib. Math. J. 48, No. 6, 1141--1146 (2007) Full Text: EuDML EMIS
Zhelezovskij, S. E. Study of convergence of the projection-difference method for hyperbolic equations. (Russian, English) Zbl 1164.65462 Sib. Mat. Zh. 48, No. 1, 93-102 (2007); translation in Sib. Math. J. 48, No. 1, 76-83 (2007). MSC: 65M12 65M06 35L60 35L90 65M60 65M15 PDFBibTeX XMLCite \textit{S. E. Zhelezovskij}, Sib. Mat. Zh. 48, No. 1, 93--102 (2007; Zbl 1164.65462); translation in Sib. Math. J. 48, No. 1, 76--83 (2007) Full Text: EuDML EMIS
Sjögreen, Björn; Petersson, N. Anders A Cartesian embedded boundary method for hyperbolic conservation laws. (English) Zbl 1164.76354 Commun. Comput. Phys. 2, No. 6, 1199-1219 (2007). MSC: 76J20 65M06 65M50 PDFBibTeX XMLCite \textit{B. Sjögreen} and \textit{N. A. Petersson}, Commun. Comput. Phys. 2, No. 6, 1199--1219 (2007; Zbl 1164.76354)
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping Non-oscillatory hierarchical reconstruction for central and finite volume schemes. (English) Zbl 1164.65456 Commun. Comput. Phys. 2, No. 5, 933-963 (2007). MSC: 65M06 65M60 PDFBibTeX XMLCite \textit{Y. Liu} et al., Commun. Comput. Phys. 2, No. 5, 933--963 (2007; Zbl 1164.65456)
Lin, Yonghua; Zhuang, Pinghui; Liu, Fawang Solving a system of nonlinear fractional ordinary differential equations by using fractional high order approximation methods. (Chinese. English summary) Zbl 1164.65530 J. Xiamen Univ., Nat. Sci. 46, No. 6, 765-769 (2007). MSC: 65R20 65L12 65L20 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{Y. Lin} et al., J. Xiamen Univ., Nat. Sci. 46, No. 6, 765--769 (2007; Zbl 1164.65530)
Chen, Jinghua An implicit approximation for the Caputo fractional reaction-dispersion equation. (Chinese. English summary) Zbl 1164.65528 J. Xiamen Univ., Nat. Sci. 46, No. 5, 616-619 (2007). MSC: 65R20 65M06 65M12 35K57 45K05 45G10 26A33 PDFBibTeX XMLCite \textit{J. Chen}, J. Xiamen Univ., Nat. Sci. 46, No. 5, 616--619 (2007; Zbl 1164.65528)
Zhang, Hongmei; Liu, Fawang Numerical approximate to the space-time fractional diffusion equation with modified variational iteration method. (Chinese. English summary) Zbl 1164.65536 J. Xiamen Univ., Nat. Sci. 46, No. 4, 464-468 (2007). MSC: 65R20 65M06 45K05 26A33 45G10 65M12 35K05 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{F. Liu}, J. Xiamen Univ., Nat. Sci. 46, No. 4, 464--468 (2007; Zbl 1164.65536)
Cai, Xin A high accurate method for singular perturbation problem. (Chinese. English summary) Zbl 1164.65442 J. Xiamen Univ., Nat. Sci. 46, No. 1, 18-20 (2007). MSC: 65L10 65L50 65L06 65L12 34B15 34E15 PDFBibTeX XMLCite \textit{X. Cai}, J. Xiamen Univ., Nat. Sci. 46, No. 1, 18--20 (2007; Zbl 1164.65442)
Zhao, Tinggang; Su, Xinzheng; Tang, Xiaohui Fully-discrete Galerkin spectral element method for a \(2\)-\(D\) Schrödinger equation. (Chinese. English summary) Zbl 1164.65478 J. Lanzhou Univ., Nat. Sci. 43, No. 5, 106-110 (2007). MSC: 65M70 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{T. Zhao} et al., J. Lanzhou Univ., Nat. Sci. 43, No. 5, 106--110 (2007; Zbl 1164.65478)
Sun, Zhizhong; Wu, Jingyu Numerical simulation of a class of coupled parabolic equation in geoscience. (Chinese. English summary) Zbl 1164.65029 Acta Math. Appl. Sin. 30, No. 6, 1097-1116 (2007). MSC: 65M06 65M12 86A60 35K15 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{J. Wu}, Acta Math. Appl. Sin. 30, No. 6, 1097--1116 (2007; Zbl 1164.65029)
Bhuvaneswari, M.; Sivasankaran, S.; Kandaswamy, P.; Ramasami, E. K. Lie group analysis of natural convection heat transfer in a inclined porous surface with heat generation. (English) Zbl 1146.76049 Int. J. Appl. Math. Eng. Sci. 1, No. 2, 207-214 (2007). MSC: 76R10 76S05 76M60 76M20 80A20 PDFBibTeX XMLCite \textit{M. Bhuvaneswari} et al., Int. J. Appl. Math. Eng. Sci. 1, No. 2, 207--214 (2007; Zbl 1146.76049)
Qu, Fu-Li; Wang, Wen-Qia Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation. (English) Zbl 1231.65145 Appl. Math. Mech., Engl. Ed. 28, No. 7, 973-980 (2007). MSC: 65M06 65M12 65Y05 PDFBibTeX XMLCite \textit{F.-L. Qu} and \textit{W.-Q. Wang}, Appl. Math. Mech., Engl. Ed. 28, No. 7, 973--980 (2007; Zbl 1231.65145) Full Text: DOI
Lin, Jian-Guo; Xie, Zhi-Hua; Zhou, Jun-Tao Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD. (English) Zbl 1231.35150 Appl. Math. Mech., Engl. Ed. 28, No. 7, 943-953 (2007). MSC: 35Q30 41A58 65N06 76M20 PDFBibTeX XMLCite \textit{J.-G. Lin} et al., Appl. Math. Mech., Engl. Ed. 28, No. 7, 943--953 (2007; Zbl 1231.35150) Full Text: DOI
Tu, Guo-Hua; Yuan, Xiang-Jiang; Lu, Li-Peng Developing shock-capturing difference methods. (English) Zbl 1231.76125 Appl. Math. Mech., Engl. Ed. 28, No. 4, 477-486 (2007). MSC: 76G25 76M20 PDFBibTeX XMLCite \textit{G.-H. Tu} et al., Appl. Math. Mech., Engl. Ed. 28, No. 4, 477--486 (2007; Zbl 1231.76125) Full Text: DOI
Gallerano, Francesco; Cannata, Giovanni A new turbulence model for large eddy simulation. (English) Zbl 1387.76040 Adv. Stud. Theor. Phys. 1, No. 5-8, 247-270 (2007). MSC: 76F65 76F60 76M20 PDFBibTeX XMLCite \textit{F. Gallerano} and \textit{G. Cannata}, Adv. Stud. Theor. Phys. 1, No. 5--8, 247--270 (2007; Zbl 1387.76040)
Ashyralyev, A. Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions. (English) Zbl 1152.65089 Math. Probl. Eng. 2007, Article ID 90815, 16 p. (2007). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65M06 65M12 65J10 34G10 35K90 65L12 65L20 PDFBibTeX XMLCite \textit{A. Ashyralyev}, Math. Probl. Eng. 2007, Article ID 90815, 16 p. (2007; Zbl 1152.65089) Full Text: DOI EuDML
Abgrall, Rémi; Perrier, Vincent On the numerical approximation of first-order Hamilton-Jacobi equations. (English) Zbl 1147.65323 Int. J. Appl. Math. Comput. Sci. 17, No. 3, 403-412 (2007). MSC: 65N30 35L60 35F15 65N06 65M06 49L25 PDFBibTeX XMLCite \textit{R. Abgrall} and \textit{V. Perrier}, Int. J. Appl. Math. Comput. Sci. 17, No. 3, 403--412 (2007; Zbl 1147.65323) Full Text: DOI EuDML
Liu, Libin Sub-domain precise integration implicit scheme with absolute stability for solving diffusion equation. (Chinese. English summary) Zbl 1150.65402 J. Guangxi Univ. Nationalities, Nat. Sci. 13, No. 2, 59-61 (2007). MSC: 65M06 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{L. Liu}, J. Guangxi Univ. Nationalities, Nat. Sci. 13, No. 2, 59--61 (2007; Zbl 1150.65402)
Liu, Jiewei; Lin, Jing Adaptive mesh refinement scheme for one-dimensional hyperbolic systems. (Chinese. English summary) Zbl 1150.65415 J. Hefei Univ. Technol., Nat. Sci. 30, No. 10, 1376-1380, 1384 (2007). MSC: 65M50 65M06 65M15 PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. Lin}, J. Hefei Univ. Technol., Nat. Sci. 30, No. 10, 1376--1380, 1384 (2007; Zbl 1150.65415)
Yu, Zhanhua; Jin, Chengri A family of high accuracy implicit difference schemes AGEI method for solving parabolic equation of one-dimension. (Chinese. English summary) Zbl 1150.65407 J. Harbin Inst. Technol. 39, No. 10, 1635-1637 (2007). MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{Z. Yu} and \textit{C. Jin}, J. Harbin Inst. Technol. 39, No. 10, 1635--1637 (2007; Zbl 1150.65407)
Liu, Wenhai On spurious asymptotic numerical solutions of Gauss scheme. (English) Zbl 1150.65390 Ann. Differ. Equations 23, No. 4, 446-449 (2007). MSC: 65L06 65L05 65L12 65L20 34A34 PDFBibTeX XMLCite \textit{W. Liu}, Ann. Differ. Equations 23, No. 4, 446--449 (2007; Zbl 1150.65390)
Patidar, Kailash C.; Shikongo, Albert The application of asymptotic analysis for developing reliable numerical method for a model singular perturbation problem. (English) Zbl 1147.65060 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 2, No. 3-4, 193-207 (2007). Reviewer: Oleh Omel’chenko (Berlin) MSC: 65L10 65L12 65L50 34E15 34B05 PDFBibTeX XMLCite \textit{K. C. Patidar} and \textit{A. Shikongo}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 2, No. 3--4, 193--207 (2007; Zbl 1147.65060)
Abalakin, I. V.; Kozubskaya, T. K. High accuracy scheme for solving nonlinear aero-acoustics problems on unstructured meshes. (Russian. English summary) Zbl 1137.76483 Mat. Model. 19, No. 7, 56-66 (2007). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76Q05 76M20 PDFBibTeX XMLCite \textit{I. V. Abalakin} and \textit{T. K. Kozubskaya}, Mat. Model. 19, No. 7, 56--66 (2007; Zbl 1137.76483) Full Text: MNR
Wang, Huimin; Zhang, Ran; Jin, Guangri; Yu, Shi Numerical computation of a class of \(p\)-Laplace equations with multi-point boundary value conditions. (Chinese. English summary) Zbl 1150.65392 J. Jilin Univ., Sci. 45, No. 3, 358-364 (2007). MSC: 65L10 65L12 34B10 34B15 65L70 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Jilin Univ., Sci. 45, No. 3, 358--364 (2007; Zbl 1150.65392)
Ma, Mingshu; Gu, Shumin; Zhu, Linlin A symmetrical alternating direction implicit scheme for solving parabolic equation of three-dimension. (Chinese. English summary) Zbl 1150.65403 J. Henan Norm. Univ., Nat. Sci. 35, No. 2, 174-176 (2007). MSC: 65M06 65M12 65M15 35K15 65F10 PDFBibTeX XMLCite \textit{M. Ma} et al., J. Henan Norm. Univ., Nat. Sci. 35, No. 2, 174--176 (2007; Zbl 1150.65403)
Xu, Qiubin; Zhang, Luming An ADI scheme for the generalized nonlinear Sine-Gordon equation in two dimensions. (Chinese. English summary) Zbl 1150.65020 Acta Math. Appl. Sin. 30, No. 5, 836-846 (2007). MSC: 65M06 65M12 35Q53 65M15 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{L. Zhang}, Acta Math. Appl. Sin. 30, No. 5, 836--846 (2007; Zbl 1150.65020)
Lin, Pengzhi; Man, Chuanjian A staggered-grid numerical algorithm for the extended Boussinesq equations. (English) Zbl 1169.76042 Appl. Math. Modelling 31, No. 2, 349-368 (2007). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{P. Lin} and \textit{C. Man}, Appl. Math. Modelling 31, No. 2, 349--368 (2007; Zbl 1169.76042) Full Text: DOI
Alim, M. A.; Alam, Md. M.; Al-Mamun, Abdullah Joule heating effect on the coupling of conduction with magnetohydrodynamic free convection flow from a vertical flat plate. (English) Zbl 1237.76209 Nonlinear Anal., Model. Control 12, No. 3, 307-316 (2007). MSC: 76W05 76R10 76M10 80A20 PDFBibTeX XMLCite \textit{M. A. Alim} et al., Nonlinear Anal., Model. Control 12, No. 3, 307--316 (2007; Zbl 1237.76209)
Zhu, Danmei; Zhang, Tie A new kind of characteristic-difference scheme for convection-diffusion equations. (Chinese. English summary) Zbl 1143.65369 Appl. Math., Ser. A (Chin. Ed.) 22, No. 3, 323-331 (2007). MSC: 65M06 65M25 35K15 65M12 65M15 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{T. Zhang}, Appl. Math., Ser. A (Chin. Ed.) 22, No. 3, 323--331 (2007; Zbl 1143.65369)
Chen, Hao; Zhong, Erjie High-order and unconditional stability difference scheme for diffusion equation. (Chinese. English summary) Zbl 1143.65363 J. Univ. Electron. Sci. Technol. China 36, No. 2, 429-430 (2007). MSC: 65M06 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{H. Chen} and \textit{E. Zhong}, J. Univ. Electron. Sci. Technol. China 36, No. 2, 429--430 (2007; Zbl 1143.65363)
Feng, Qinghua; Wang, Wenqia A class of alternating group method for solving the two dimensional diffusion equation. (Chinese. English summary) Zbl 1143.65364 J. Shandong Univ., Nat. Sci. 42, No. 6, 46-51 (2007). MSC: 65M06 65M12 35K05 65Y05 PDFBibTeX XMLCite \textit{Q. Feng} and \textit{W. Wang}, J. Shandong Univ., Nat. Sci. 42, No. 6, 46--51 (2007; Zbl 1143.65364)
Wang, Zhen; Zhang, Jin A conservative numerical scheme and its convergence analysis for a class of the NLS equation. (Chinese. English summary) Zbl 1143.65368 J. Shandong Univ., Nat. Sci. 42, No. 3, 13-17, 22 (2007). MSC: 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{J. Zhang}, J. Shandong Univ., Nat. Sci. 42, No. 3, 13--17, 22 (2007; Zbl 1143.65368)
Tian, Min; Yang, Danping Overlapping domain decomposition parallel finite difference algorithm of wave equation. (Chinese. English summary) Zbl 1143.65377 J. Shandong Univ., Nat. Sci. 42, No. 2, 28-38 (2007). MSC: 65M55 65M06 65M12 35L05 PDFBibTeX XMLCite \textit{M. Tian} and \textit{D. Yang}, J. Shandong Univ., Nat. Sci. 42, No. 2, 28--38 (2007; Zbl 1143.65377)
Macozoma, Mziwoxolo; Hlomuka, Joe On the stability of a finite difference scheme for an evolution problem, based on a system of nonlinear ordinary differential equations. (English) Zbl 1142.65064 Far East J. Appl. Math. 28, No. 2, 283-296 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L20 65L12 34A34 65M20 35K55 65M60 PDFBibTeX XMLCite \textit{M. Macozoma} and \textit{J. Hlomuka}, Far East J. Appl. Math. 28, No. 2, 283--296 (2007; Zbl 1142.65064)
Paradzinska, A.; Matus, P. High-accuracy difference schemes for the nonlinear transfer equation \(\frac{\partial U}{\partial T}+U\frac{\partial U}{\partial X}=F(U)\). (English) Zbl 1138.65085 Math. Model. Anal. 12, No. 4, 469-482 (2007). MSC: 65M25 65M12 35L60 65M06 PDFBibTeX XMLCite \textit{A. Paradzinska} and \textit{P. Matus}, Math. Model. Anal. 12, No. 4, 469--482 (2007; Zbl 1138.65085) Full Text: DOI
Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J. Computing mean square approximations of random diffusion models with source term. (English) Zbl 1135.65301 Math. Comput. Simul. 76, No. 1-3, 44-48 (2007). MSC: 65C30 60H15 60H35 65M06 65M12 PDFBibTeX XMLCite \textit{J. C. Cortés} et al., Math. Comput. Simul. 76, No. 1--3, 44--48 (2007; Zbl 1135.65301) Full Text: DOI
Baboolal, S.; Bharuthram, R. Two-scale numerical solution of the electromagnetic two-fluid plasma-Maxwell equations: shock and soliton simulation. (English) Zbl 1141.78004 Math. Comput. Simul. 76, No. 1-3, 3-7 (2007). Reviewer: Iván Abonyi (Budapest) MSC: 78A25 78M20 35L65 65M06 74J35 74J40 76W05 76X05 PDFBibTeX XMLCite \textit{S. Baboolal} and \textit{R. Bharuthram}, Math. Comput. Simul. 76, No. 1--3, 3--7 (2007; Zbl 1141.78004) Full Text: DOI
Ashyralyev, Allaberen; Koksal, Mehmet Emir Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space. (English) Zbl 1156.65079 Discrete Dyn. Nat. Soc. 2007, Article ID 57491, 25 p. (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 35L15 35L90 65M06 PDFBibTeX XMLCite \textit{A. Ashyralyev} and \textit{M. E. Koksal}, Discrete Dyn. Nat. Soc. 2007, Article ID 57491, 25 p. (2007; Zbl 1156.65079) Full Text: DOI EuDML
Ariel, P. Donald Transient flow of a third-grade fluid over a moving plate. (English) Zbl 1136.76005 Int. J. Comput. Methods Eng. Sci. Mech. 8, No. 3, 107-113 (2007). MSC: 76A10 76M20 PDFBibTeX XMLCite \textit{P. D. Ariel}, Int. J. Comput. Methods Eng. Sci. Mech. 8, No. 3, 107--113 (2007; Zbl 1136.76005) Full Text: DOI
Zhao, Xiaohong; Li, Desheng A finite difference scheme for combined KdV-mKdV equation. (English) Zbl 1145.65060 Int. J. Pure Appl. Math. 41, No. 5, 703-711 (2007). Reviewer: Jialin Hong (Beijing) MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{D. Li}, Int. J. Pure Appl. Math. 41, No. 5, 703--711 (2007; Zbl 1145.65060)
Heitzinger, Clemens; Ringhofer, Christian; Selberherr, Siegfried Finite difference solutions of the nonlinear Schrödinger equation. (English) Zbl 1133.35431 Commun. Math. Sci. 5, No. 4, 779-788 (2007). MSC: 35Q55 65M06 37K05 PDFBibTeX XMLCite \textit{C. Heitzinger} et al., Commun. Math. Sci. 5, No. 4, 779--788 (2007; Zbl 1133.35431) Full Text: DOI Euclid
Egidi, N.; Maponi, P. The heat equation to generate planar grids. (English) Zbl 1134.65016 J. Comput. Appl. Math. 210, No. 1-2, 183-190 (2007). MSC: 65D18 65N50 35K05 65M06 PDFBibTeX XMLCite \textit{N. Egidi} and \textit{P. Maponi}, J. Comput. Appl. Math. 210, No. 1--2, 183--190 (2007; Zbl 1134.65016) Full Text: DOI
Shen, Jun; Shu, Chi-Wang; Zhang, Mengping High resolution schemes for a hierarchical size-structured model. (English) Zbl 1144.65059 SIAM J. Numer. Anal. 45, No. 1, 352-370 (2007). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 65M12 35K55 92D25 PDFBibTeX XMLCite \textit{J. Shen} et al., SIAM J. Numer. Anal. 45, No. 1, 352--370 (2007; Zbl 1144.65059) Full Text: DOI
Sidi Ammi, Moulay Rchid; Mul, Olena Error estimates for the Chernoff scheme to approximate a nonlocal parabolic problem. (English) Zbl 1137.65055 Proc. Est. Acad. Sci., Phys. Math. 56, No. 4, 359-372 (2007). MSC: 65M15 35K55 35K20 35K60 65M06 PDFBibTeX XMLCite \textit{M. R. Sidi Ammi} and \textit{O. Mul}, Proc. Est. Acad. Sci., Phys. Math. 56, No. 4, 359--372 (2007; Zbl 1137.65055) Full Text: Link
Kim, Hongjoong Two-step MacCormack method for statistical moments of a stochastic Burger’s equation. (English) Zbl 1135.65002 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 14, No. 5, 657-684 (2007). Reviewer: Henri Schurz (Carbondale) MSC: 65C30 65M06 42C15 60H15 65C05 35Q53 35R60 PDFBibTeX XMLCite \textit{H. Kim}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 14, No. 5, 657--684 (2007; Zbl 1135.65002)
Ducomet, B.; Zlotnik, A. On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. II. (English) Zbl 1141.65069 Commun. Math. Sci. 5, No. 2, 267-298 (2007). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M12 65M06 35Q40 PDFBibTeX XMLCite \textit{B. Ducomet} and \textit{A. Zlotnik}, Commun. Math. Sci. 5, No. 2, 267--298 (2007; Zbl 1141.65069) Full Text: DOI Euclid
Diehl, Dennis Higher-order schemes for simulation of compressible liquid-vapor flows with phase change. With CD-ROM. (English) Zbl 1161.76002 Freiburg: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). 233 p. (2007). MSC: 76-02 76M10 76M20 76T10 80A22 PDFBibTeX XMLCite \textit{D. Diehl}, Higher-order schemes for simulation of compressible liquid-vapor flows with phase change. With CD-ROM. Freiburg: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2007; Zbl 1161.76002) Full Text: Link
Wu, Yong Hong; Wiwatanapataphee, B Modelling of turbulent flow and multi-phase heat transfer under electromagnetic force. (English) Zbl 1131.76055 Discrete Contin. Dyn. Syst., Ser. B 8, No. 3, 695-706 (2007). MSC: 76T99 76W05 76F99 76M20 80A20 80A22 PDFBibTeX XMLCite \textit{Y. H. Wu} and \textit{B Wiwatanapataphee}, Discrete Contin. Dyn. Syst., Ser. B 8, No. 3, 695--706 (2007; Zbl 1131.76055) Full Text: DOI
Zahran, Yousef Hashem WENO-TVD schemes for hyperbolic conservation laws. (English) Zbl 1134.65066 Analysis, München 27, No. 1, 73-94 (2007). MSC: 65M20 65M06 65M12 35L65 65L06 PDFBibTeX XMLCite \textit{Y. H. Zahran}, Analysis, München 27, No. 1, 73--94 (2007; Zbl 1134.65066) Full Text: DOI
Ishak, A.; Nazar, R.; Pop, I. Dual solutions in mixed convection boundary-layer flow with suction or injection. (English) Zbl 1131.76049 IMA J. Appl. Math. 72, No. 4, 451-463 (2007). MSC: 76R05 76R10 76D10 76M20 76M55 80A20 PDFBibTeX XMLCite \textit{A. Ishak} et al., IMA J. Appl. Math. 72, No. 4, 451--463 (2007; Zbl 1131.76049) Full Text: DOI
Amiraliyev, G. M.; Erdogan, F. Uniform numerical method for singularly perturbed delay differential equations. (English) Zbl 1134.65042 Comput. Math. Appl. 53, No. 8, 1251-1259 (2007). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 65L05 65L12 65L50 34K28 65L20 34K06 PDFBibTeX XMLCite \textit{G. M. Amiraliyev} and \textit{F. Erdogan}, Comput. Math. Appl. 53, No. 8, 1251--1259 (2007; Zbl 1134.65042) Full Text: DOI
Prusov, V. A.; Doroshenko, A. E.; Chernysh, R. I.; Guk, L. N. Efficient difference scheme for numerical solution of a convective diffusion problem. (English. Russian original) Zbl 1222.76069 Cybern. Syst. Anal. 43, No. 3, 368-376 (2007); translation from Kibern. Sist. Anal. 43, No. 3, 64-74 (2007). MSC: 76M20 76R10 76R50 86A10 PDFBibTeX XMLCite \textit{V. A. Prusov} et al., Cybern. Syst. Anal. 43, No. 3, 368--376 (2007; Zbl 1222.76069); translation from Kibern. Sist. Anal. 43, No. 3, 64--74 (2007) Full Text: DOI
Abitorabi, Masoud; Abdollah, Borhanifar Computer simulation for four-waves interaction of femtosecond pulses in optical fiber. (English) Zbl 1183.78035 Int. J. Appl. Math. 20, No. 4, 449-456 (2007). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 78M20 65M06 65N06 68U20 PDFBibTeX XMLCite \textit{M. Abitorabi} and \textit{B. Abdollah}, Int. J. Appl. Math. 20, No. 4, 449--456 (2007; Zbl 1183.78035)
Albu, A. F.; Zubov, V. I. Mathematical modeling and study of the process of solidification in metal casting. (English. Russian original) Zbl 1292.80003 Comput. Math. Math. Phys. 47, No. 5, 843-862 (2007); translation from Zh. Vychisl. Mat. Mat. Fiz. 47, No. 5, 882-902 (2007). MSC: 80A20 35K05 80A22 80M20 PDFBibTeX XMLCite \textit{A. F. Albu} and \textit{V. I. Zubov}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 5, 882--902 (2007; Zbl 1292.80003); translation from Zh. Vychisl. Mat. Mat. Fiz. 47, No. 5, 882--902 (2007) Full Text: DOI
Shishkin, G. I. Approximation of systems of singularly perturbed elliptic reaction-diffusion equations with two parameters. (English. Russian original) Zbl 1288.65150 Comput. Math. Math. Phys. 47, No. 5, 797-828 (2007); translation from Zh. Vychisl. Mat. Mat. Fiz. 47, No. 5, 835-866 (2007). MSC: 65N06 35B25 35J25 65N15 PDFBibTeX XMLCite \textit{G. I. Shishkin}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 5, 835--866 (2007; Zbl 1288.65150); translation from Zh. Vychisl. Mat. Mat. Fiz. 47, No. 5, 835--866 (2007) Full Text: DOI
Astrelin, V. T.; Kovenya, V. M.; Kozlinskaya, T. V. Numerical simulation of plasma motion in a magnetic field. Two-dimensional case. (Russian, English) Zbl 1150.76561 Prikl. Mekh. Tekh. Fiz. 48, No. 3, 121-132 (2007); translation in J. Appl. Mech. Tech. Phys. 48, No. 3, 401-411 (2007). MSC: 76X05 76M20 PDFBibTeX XMLCite \textit{V. T. Astrelin} et al., Prikl. Mekh. Tekh. Fiz. 48, No. 3, 121--132 (2007; Zbl 1150.76561); translation in J. Appl. Mech. Tech. Phys. 48, No. 3, 401--411 (2007) Full Text: DOI
Chainais-Hillairet, Claire; Filbet, Francis Asymptotic behaviour of a finite-volume scheme for the transient drift-diffusion model. (English) Zbl 1133.65060 IMA J. Numer. Anal. 27, No. 4, 689-716 (2007). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 65M60 65M12 35M10 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} and \textit{F. Filbet}, IMA J. Numer. Anal. 27, No. 4, 689--716 (2007; Zbl 1133.65060) Full Text: DOI Link