Zhang, Bei; Chen, Shaochun; Zhao, Jikun A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes. (English) Zbl 1410.65427 Appl. Math. Comput. 232, 1062-1075 (2014). MSC: 65N15 65N30 35K57 PDFBibTeX XMLCite \textit{B. Zhang} et al., Appl. Math. Comput. 232, 1062--1075 (2014; Zbl 1410.65427) Full Text: DOI
Korotkova, E. M.; Pyatkov, S. G. On some inverse problems for a linearized system of heat and mass transfer. (Russian, English) Zbl 1374.35436 Mat. Tr. 17, No. 2, 142-162 (2014); translation in Sib. Adv. Math. 25, No. 2, 110-123 (2015). MSC: 35R30 35K10 35K57 PDFBibTeX XMLCite \textit{E. M. Korotkova} and \textit{S. G. Pyatkov}, Mat. Tr. 17, No. 2, 142--162 (2014; Zbl 1374.35436); translation in Sib. Adv. Math. 25, No. 2, 110--123 (2015) Full Text: DOI
Gordon, Peter V.; Moroz, Vitaly Gelfand-type problem for two-phase porous media. (English) Zbl 1348.35095 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2163, Article ID 20130573, 17 p. (2014). MSC: 35K20 35B44 76S05 80A25 PDFBibTeX XMLCite \textit{P. V. Gordon} and \textit{V. Moroz}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2163, Article ID 20130573, 17 p. (2014; Zbl 1348.35095) Full Text: DOI arXiv
Petrov, Miroslav S.; Todorov, Todor D. Barzilai-Borwein method for a nonlocal elliptic problem. (English) Zbl 1353.65123 Mat. Bilt. 38, No. 2, 23-30 (2014). MSC: 65N30 35J60 65N12 65K10 49J20 PDFBibTeX XMLCite \textit{M. S. Petrov} and \textit{T. D. Todorov}, Mat. Bilt. 38, No. 2, 23--30 (2014; Zbl 1353.65123) Full Text: Link
Kim, Mi-Young; Wheeler, Mary F. Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems. (English) Zbl 1350.65109 Comput. Math. Appl. 67, No. 1, 181-198 (2014). MSC: 65M60 65M55 35K57 65M12 65Y05 PDFBibTeX XMLCite \textit{M.-Y. Kim} and \textit{M. F. Wheeler}, Comput. Math. Appl. 67, No. 1, 181--198 (2014; Zbl 1350.65109) Full Text: DOI
Matculevich, S.; Repin, S. Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. (English) Zbl 1338.35244 Appl. Math. Comput. 247, 329-347 (2014). MSC: 35K57 35K20 65M15 PDFBibTeX XMLCite \textit{S. Matculevich} and \textit{S. Repin}, Appl. Math. Comput. 247, 329--347 (2014; Zbl 1338.35244) Full Text: DOI arXiv
Ryazhskikh, V. I.; Boger, A. A.; Ryazhskikh, A. V. A linear model of the motion of a low-concentration suspension of monodisperse Stokes particles in a flat channel. (Russian. English summary) Zbl 1333.35118 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 4, 65-75 (2014). MSC: 35K60 35Q35 35K57 PDFBibTeX XMLCite \textit{V. I. Ryazhskikh} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 4, 65--75 (2014; Zbl 1333.35118) Full Text: DOI
Pyatkov, S. G.; Safonov, E. I. Some inverse problems for convection-diffusion equations. (Russian. English summary) Zbl 1333.35342 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 4, 36-50 (2014). MSC: 35R30 35K57 80A20 PDFBibTeX XMLCite \textit{S. G. Pyatkov} and \textit{E. I. Safonov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 4, 36--50 (2014; Zbl 1333.35342) Full Text: DOI
Fekete, I.; Faragó, I. N-stability of the \(\theta\)-method for reaction-diffusion problems. (English) Zbl 1324.65118 Miskolc Math. Notes 15, No. 2, 447-458 (2014). MSC: 65M12 35K57 65M06 65J15 47J25 65J08 PDFBibTeX XMLCite \textit{I. Fekete} and \textit{I. Faragó}, Miskolc Math. Notes 15, No. 2, 447--458 (2014; Zbl 1324.65118)
Tang, Gusheng; Li, Yuanfei; Yang, Xitao Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in \(\mathbb{R}^{N}\) (\(N\geq3\)). (English) Zbl 1515.35065 Bound. Value Probl. 2014, Paper No. 265, 5 p. (2014). MSC: 35B44 35K20 35K55 35K65 PDFBibTeX XMLCite \textit{G. Tang} et al., Bound. Value Probl. 2014, Paper No. 265, 5 p. (2014; Zbl 1515.35065) Full Text: DOI
Belan, E. P.; Khazova, Yu. A. Dynamics of stationary structures in a parabolic problem with reflection spatial variable in the case of a circle. (Russian. English summary) Zbl 1330.35208 Din. Sist., Simferopol’ 4(32), No. 1-2, 43-57 (2014). MSC: 35K57 35B36 35C07 PDFBibTeX XMLCite \textit{E. P. Belan} and \textit{Yu. A. Khazova}, Din. Sist., Simferopol' 4(32), No. 1--2, 43--57 (2014; Zbl 1330.35208)
Kaneko, Yuki; Oeda, Kazuhiro; Yamada, Yoshio Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations. (English) Zbl 1322.35182 Funkc. Ekvacioj, Ser. Int. 57, No. 3, 449-465 (2014). MSC: 35R35 35K57 92D25 35J60 PDFBibTeX XMLCite \textit{Y. Kaneko} et al., Funkc. Ekvacioj, Ser. Int. 57, No. 3, 449--465 (2014; Zbl 1322.35182) Full Text: DOI
Krizsky, V. N.; Nafikova, A. R. The mathematical modelling of diffusion and advection of Radon in piecewise anisotropic layered media with inclusions. (Russian. English summary) Zbl 1325.86012 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 2, 38-45 (2014). MSC: 86A15 76M25 35K57 65Rxx PDFBibTeX XMLCite \textit{V. N. Krizsky} and \textit{A. R. Nafikova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 2, 38--45 (2014; Zbl 1325.86012) Full Text: DOI
Moussi, M. Pullback attractors of nonautonomous boundary Cauchy problems. (English) Zbl 1308.47086 Nonlinear Dyn. Syst. Theory 14, No. 4, 383-394 (2014). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 47J35 45Exx 34D45 35K57 PDFBibTeX XMLCite \textit{M. Moussi}, Nonlinear Dyn. Syst. Theory 14, No. 4, 383--394 (2014; Zbl 1308.47086)
Afanas’eva, N. M.; Vabishchevich, P. N. Stable difference schemes for certain parabolic equations. (Russian, English) Zbl 1313.35144 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 7, 1186-1193 (2014); translation in Comput. Math. Math. Phys. 54, No. 7, 1159-1166 (2014). MSC: 35K40 35K57 65M06 PDFBibTeX XMLCite \textit{N. M. Afanas'eva} and \textit{P. N. Vabishchevich}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 7, 1186--1193 (2014; Zbl 1313.35144); translation in Comput. Math. Math. Phys. 54, No. 7, 1159--1166 (2014) Full Text: DOI
Vabishchevich, P. N. Three-level schemes of the alternating triangular method. (Russian, English) Zbl 1313.35175 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 6, 942-952 (2014); translation in Comput. Math. Math. Phys. 54, No. 6, 953-962 (2014). MSC: 35K57 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 6, 942--952 (2014; Zbl 1313.35175); translation in Comput. Math. Math. Phys. 54, No. 6, 953--962 (2014) Full Text: DOI
Toro, Eleuterio F.; Montecinos, Gino I. Advection-diffusion-reaction equations: hyperbolization and high-order ADER discretizations. (English) Zbl 1307.65117 SIAM J. Sci. Comput. 36, No. 5, A2423-A2457 (2014). MSC: 65M08 35Q53 35K57 65M12 PDFBibTeX XMLCite \textit{E. F. Toro} and \textit{G. I. Montecinos}, SIAM J. Sci. Comput. 36, No. 5, A2423--A2457 (2014; Zbl 1307.65117) Full Text: DOI
Cai, Jingjing; Lou, Bendong; Zhou, Maolin Asymptotic behavior of solutions of a reaction diffusion equation with free boundary conditions. (English) Zbl 1328.35329 J. Dyn. Differ. Equations 26, No. 4, 1007-1028 (2014). MSC: 35K57 35R35 35B40 35K91 PDFBibTeX XMLCite \textit{J. Cai} et al., J. Dyn. Differ. Equations 26, No. 4, 1007--1028 (2014; Zbl 1328.35329) Full Text: DOI arXiv
Kaddouri, I.; Teniou, D. E. Inverse problem for a nonlinear parabolic equation with nonsmooth periodic coefficients. (English) Zbl 1319.35299 S\(\vec{\text{e}}\)MA J. 66, No. 1, 55-69 (2014). MSC: 35R30 35K57 PDFBibTeX XMLCite \textit{I. Kaddouri} and \textit{D. E. Teniou}, S\(\vec{\text{e}}\)MA J. 66, No. 1, 55--69 (2014; Zbl 1319.35299) Full Text: DOI
Hilhorst, Danielle; Murakawa, Hideki Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. (English) Zbl 1307.35138 Netw. Heterog. Media 9, No. 4, 669-682 (2014). MSC: 35K51 35K05 35K57 80A22 80A30 35B25 PDFBibTeX XMLCite \textit{D. Hilhorst} and \textit{H. Murakawa}, Netw. Heterog. Media 9, No. 4, 669--682 (2014; Zbl 1307.35138) Full Text: DOI
Iron, David; Rumsey, John; Ward, Michael J.; Wei, Juncheng Logarithmic expansions and the stability of periodic patterns of localized spots for reaction-diffusion systems in \(\mathbb R^2\). (English) Zbl 1334.35347 J. Nonlinear Sci. 24, No. 5, 857-912 (2014). Reviewer: Catalin Popa (Iaşi) MSC: 35Q82 35K57 82B20 PDFBibTeX XMLCite \textit{D. Iron} et al., J. Nonlinear Sci. 24, No. 5, 857--912 (2014; Zbl 1334.35347) Full Text: DOI arXiv
De Angelis, Monica; Renno, Pasquale Asymptotic effects of boundary perturbations in excitable systems. (English) Zbl 1304.35332 Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 2039-2045 (2014). MSC: 35K51 35K57 35A08 35B40 PDFBibTeX XMLCite \textit{M. De Angelis} and \textit{P. Renno}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 2039--2045 (2014; Zbl 1304.35332) Full Text: DOI arXiv
Zipkin, Joseph R.; Short, Martin B.; Bertozzi, Andrea L. Cops on the dots in a mathematical model of urban crime and police response. (English) Zbl 1304.35702 Discrete Contin. Dyn. Syst., Ser. B 19, No. 5, 1479-1506 (2014). MSC: 35Q91 35K57 49M29 65K10 65M06 49J20 91D10 35R35 PDFBibTeX XMLCite \textit{J. R. Zipkin} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 5, 1479--1506 (2014; Zbl 1304.35702) Full Text: DOI
Väth, Martin Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities. (English) Zbl 1340.35145 Math. Bohem. 139, No. 2, 195-211 (2014). Reviewer: Jörg Härterich (Bochum) MSC: 35K57 35K86 35K87 35B35 47H11 47J20 34D20 PDFBibTeX XMLCite \textit{M. Väth}, Math. Bohem. 139, No. 2, 195--211 (2014; Zbl 1340.35145) Full Text: Link
Linß, Torsten A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems. (English) Zbl 1340.65163 Appl. Math., Praha 59, No. 3, 241-256 (2014). Reviewer: Alan L. Andrew (Bundoora) MSC: 65L70 65L11 65L10 65L50 65L60 34B05 PDFBibTeX XMLCite \textit{T. Linß}, Appl. Math., Praha 59, No. 3, 241--256 (2014; Zbl 1340.65163) Full Text: DOI Link
Bouin, Emeric; Calvez, Vincent Travelling waves for the cane toads equation with bounded traits. (English) Zbl 1301.35187 Nonlinearity 27, No. 9, 2233-2253 (2014). MSC: 35Q92 45K05 35C07 35K57 35P15 35B45 92D25 PDFBibTeX XMLCite \textit{E. Bouin} and \textit{V. Calvez}, Nonlinearity 27, No. 9, 2233--2253 (2014; Zbl 1301.35187) Full Text: DOI arXiv
Wei, Ting; Zhang, Zheng-Qiang Stable numerical solution to a Cauchy problem for a time fractional diffusion equation. (English) Zbl 1297.65115 Eng. Anal. Bound. Elem. 40, 128-137 (2014). MSC: 65M30 65R20 45D05 35R30 35K57 35R11 PDFBibTeX XMLCite \textit{T. Wei} and \textit{Z.-Q. Zhang}, Eng. Anal. Bound. Elem. 40, 128--137 (2014; Zbl 1297.65115) Full Text: DOI
Vorotnikov, Dmitry Weak solutions for a bioconvection model related to Bacillus subtilis. (English) Zbl 1302.35069 Commun. Math. Sci. 12, No. 3, 545-563 (2014). MSC: 35B41 35Q35 35Q92 92C17 35K57 PDFBibTeX XMLCite \textit{D. Vorotnikov}, Commun. Math. Sci. 12, No. 3, 545--563 (2014; Zbl 1302.35069) Full Text: DOI arXiv
Chapiro, G.; Marchesin, D.; Schecter, S. Combustion waves and Riemann solutions in light porous foam. (English) Zbl 1304.35418 J. Hyperbolic Differ. Equ. 11, No. 2, 295-328 (2014). Reviewer: Rodica Luca (Iaşi) MSC: 35L67 35C07 35K57 34C37 80A25 76S05 PDFBibTeX XMLCite \textit{G. Chapiro} et al., J. Hyperbolic Differ. Equ. 11, No. 2, 295--328 (2014; Zbl 1304.35418) Full Text: DOI
Zhao, Jikun; Chen, Shaochun Robust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshes. (English) Zbl 1295.65105 Adv. Comput. Math. 40, No. 4, 797-818 (2014). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{S. Chen}, Adv. Comput. Math. 40, No. 4, 797--818 (2014; Zbl 1295.65105) Full Text: DOI
Rozada, Ignacio; Ruuth, Steven J.; Ward, M. J. The stability of localized spot patterns for the Brusselator on the sphere. (English) Zbl 1302.35033 SIAM J. Appl. Dyn. Syst. 13, No. 1, 564-627 (2014). MSC: 35B25 35K57 35B36 35P05 35B32 35B35 PDFBibTeX XMLCite \textit{I. Rozada} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 564--627 (2014; Zbl 1302.35033) Full Text: DOI Link
Breña-Medina, V.; Champneys, A. R.; Grierson, C.; Ward, M. J. Mathematical modeling of plant root hair initiation: dynamics of localized patches. (English) Zbl 1302.35030 SIAM J. Appl. Dyn. Syst. 13, No. 1, 210-248 (2014). MSC: 35B25 35B32 35K57 34B07 35Q92 PDFBibTeX XMLCite \textit{V. Breña-Medina} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 210--248 (2014; Zbl 1302.35030) Full Text: DOI Link
Gowrisankar, S.; Natesan, Srinivasan Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids. (English) Zbl 1299.65211 Int. J. Comput. Math. 91, No. 3, 553-577 (2014). MSC: 65M12 65M06 65M50 35K57 76D10 76M20 PDFBibTeX XMLCite \textit{S. Gowrisankar} and \textit{S. Natesan}, Int. J. Comput. Math. 91, No. 3, 553--577 (2014; Zbl 1299.65211) Full Text: DOI
Hào, Dinh Nho; Quyen, Tran Nhan Tam Finite element methods for coefficient identification in an elliptic equation. (English) Zbl 1304.65243 Appl. Anal. 93, No. 7, 1533-1566 (2014). Reviewer: Michael Jung (Dresden) MSC: 65N21 65N12 65N30 35J25 35R30 65N15 65N20 35R25 PDFBibTeX XMLCite \textit{D. N. Hào} and \textit{T. N. T. Quyen}, Appl. Anal. 93, No. 7, 1533--1566 (2014; Zbl 1304.65243) Full Text: DOI
González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S. Rosenbrock-type methods with inexact AMF for the time integration of advection-diffusion-reaction PDEs. (English) Zbl 1301.65092 J. Comput. Appl. Math. 262, 304-321 (2014). MSC: 65M06 65M12 65M20 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., J. Comput. Appl. Math. 262, 304--321 (2014; Zbl 1301.65092) Full Text: DOI
Nasreddine, Elissar A model of individual clustering with vanishing diffusion. (English) Zbl 1322.35069 Asymptotic Anal. 88, No. 1-2, 93-110 (2014). MSC: 35K57 35A01 35A02 35B25 35B30 PDFBibTeX XMLCite \textit{E. Nasreddine}, Asymptotic Anal. 88, No. 1--2, 93--110 (2014; Zbl 1322.35069) Full Text: DOI arXiv
Maybank, Philip J.; Whiteley, Jonathan P. Automatic simplification of systems of reaction-diffusion equations by a posteriori analysis. (English) Zbl 1314.92018 Math. Biosci. 248, 146-157 (2014). MSC: 92B05 92C30 35K57 PDFBibTeX XMLCite \textit{P. J. Maybank} and \textit{J. P. Whiteley}, Math. Biosci. 248, 146--157 (2014; Zbl 1314.92018) Full Text: DOI
Cristofol, Michel; Kaddouri, Isma; Nadin, Grégoire; Roques, Lionel Coefficient determination via asymptotic spreading speeds. (English) Zbl 1286.35261 Inverse Probl. 30, No. 3, Article ID 035005, 16 p. (2014). MSC: 35R30 35B40 35K57 PDFBibTeX XMLCite \textit{M. Cristofol} et al., Inverse Probl. 30, No. 3, Article ID 035005, 16 p. (2014; Zbl 1286.35261) Full Text: DOI HAL
Tinaztepe, Ramazan; Tatar, Salih; Ulusoy, Suleyman Identification of the density dependent coefficient in an inverse reaction-diffusion problem from a single boundary data. (English) Zbl 1287.65077 Electron. J. Differ. Equ. 2014, Paper No. 21, 14 p. (2014). MSC: 65M32 35K57 35R30 65M15 PDFBibTeX XMLCite \textit{R. Tinaztepe} et al., Electron. J. Differ. Equ. 2014, Paper No. 21, 14 p. (2014; Zbl 1287.65077) Full Text: EMIS
Cammaroto, F.; Vilasi, L. A critical Kirchhoff-type problem involving the p&q-Laplacian. (English) Zbl 1321.35017 Math. Nachr. 287, No. 2-3, 184-193 (2014). Reviewer: Mersaid Aripov (Tashkent) MSC: 35J20 35J25 35B33 35K57 PDFBibTeX XMLCite \textit{F. Cammaroto} and \textit{L. Vilasi}, Math. Nachr. 287, No. 2--3, 184--193 (2014; Zbl 1321.35017) Full Text: DOI
Zahra, W. K.; El-Azab, M. S.; El Mhlawy, Ashraf M. Spline difference scheme for two-parameter singularly perturbed partial differential equations. (English) Zbl 1288.65128 J. Appl. Math. Inform. 32, No. 1-2, 185-201 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35B25 35K57 65M12 65M15 PDFBibTeX XMLCite \textit{W. K. Zahra} et al., J. Appl. Math. Inform. 32, No. 1--2, 185--201 (2014; Zbl 1288.65128) Full Text: DOI
Kalita, Piotr; Łukaszewicz, Grzegorz Global attractors for multivalued semiflows with weak continuity properties. (English) Zbl 1292.76032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 101, 124-143 (2014). MSC: 76D05 76F10 76F20 47J20 49J40 PDFBibTeX XMLCite \textit{P. Kalita} and \textit{G. Łukaszewicz}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 101, 124--143 (2014; Zbl 1292.76032) Full Text: DOI arXiv
Zhou, Peng; Xiao, Dongmei The diffusive logistic model with a free boundary in heterogeneous environment. (English) Zbl 1316.35156 J. Differ. Equations 256, No. 6, 1927-1954 (2014). Reviewer: Elena Frolova (St. Petersburg) MSC: 35K57 35K61 35R35 92D25 PDFBibTeX XMLCite \textit{P. Zhou} and \textit{D. Xiao}, J. Differ. Equations 256, No. 6, 1927--1954 (2014; Zbl 1316.35156) Full Text: DOI
Yang, Jian; Lou, Bendong Traveling wave solutions of competitive models with free boundaries. (English) Zbl 1292.35075 Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 817-826 (2014). Reviewer: Galina Bizhanova (Almaty) MSC: 35C07 80A22 35K57 35R35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{B. Lou}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 817--826 (2014; Zbl 1292.35075) Full Text: DOI arXiv
Du, Qiang; Huang, Zhan; Lehoucq, Richard B. Nonlocal convection-diffusion volume-constrained problems and jump processes. (English) Zbl 1284.35223 Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 373-389 (2014). MSC: 35K57 35Q35 76R99 45K05 45A05 PDFBibTeX XMLCite \textit{Q. Du} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 373--389 (2014; Zbl 1284.35223) Full Text: DOI