Contreras, Andres A.; Mycek, Paul; Le Maître, Olivier P.; Rizzi, Francesco; Debusschere, Bert; Knio, Omar M. Parallel domain decomposition strategies for stochastic elliptic equations. Part A: Local Karhunen-Loève representations. (English) Zbl 1404.65154 SIAM J. Sci. Comput. 40, No. 4, C520-C546 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M55 60H15 65M70 31B10 35R60 65Y05 65M15 PDFBibTeX XMLCite \textit{A. A. Contreras} et al., SIAM J. Sci. Comput. 40, No. 4, C520--C546 (2018; Zbl 1404.65154) Full Text: DOI
Schlichting, André; Seis, Christian Analysis of the implicit upwind finite volume scheme with rough coefficients. (English) Zbl 1395.65041 Numer. Math. 139, No. 1, 155-186 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M08 65M12 65M15 PDFBibTeX XMLCite \textit{A. Schlichting} and \textit{C. Seis}, Numer. Math. 139, No. 1, 155--186 (2018; Zbl 1395.65041) Full Text: DOI arXiv
Ramming, Tobias; Wendland, Holger A kernel-based discretisation method for first order partial differential equations. (English) Zbl 1394.65087 Math. Comput. 87, No. 312, 1757-1781 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 65M15 35F50 PDFBibTeX XMLCite \textit{T. Ramming} and \textit{H. Wendland}, Math. Comput. 87, No. 312, 1757--1781 (2018; Zbl 1394.65087) Full Text: DOI arXiv
Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. (English) Zbl 1397.65177 J. Sci. Comput. 74, No. 2, 1034-1059 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M55 15B05 35R11 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Sci. Comput. 74, No. 2, 1034--1059 (2018; Zbl 1397.65177) Full Text: DOI arXiv
Seo, Jiwon; Ha, Seung-Yeal; Min, Chohong Convergence analysis in the maximum norm of the numerical gradient of the Shortley-Weller method. (English) Zbl 1397.65227 J. Sci. Comput. 74, No. 2, 631-639 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N06 65N12 30B50 PDFBibTeX XMLCite \textit{J. Seo} et al., J. Sci. Comput. 74, No. 2, 631--639 (2018; Zbl 1397.65227) Full Text: DOI
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. Exponential convergence of the \(hp\) virtual element method in presence of corner singularities. (English) Zbl 1387.65117 Numer. Math. 138, No. 3, 581-613 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Math. 138, No. 3, 581--613 (2018; Zbl 1387.65117) Full Text: DOI arXiv
He, Wenming; Zhang, Zhimin; Zou, Qingsong Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes. (English) Zbl 1421.65027 Numer. Math. 138, No. 2, 473-500 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N08 65N15 65N50 65N30 PDFBibTeX XMLCite \textit{W. He} et al., Numer. Math. 138, No. 2, 473--500 (2018; Zbl 1421.65027) Full Text: DOI
Abgrall, R. High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. (English) Zbl 1398.65242 J. Sci. Comput. 73, No. 2-3, 461-494 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 PDFBibTeX XMLCite \textit{R. Abgrall}, J. Sci. Comput. 73, No. 2--3, 461--494 (2017; Zbl 1398.65242) Full Text: DOI HAL
Rottmann-Matthes, Jens Freezing similarity solutions in the multi-dimensional Burgers equation. (English) Zbl 1421.35326 Nonlinearity 30, No. 12, 4558-4586 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 35Q53 35B25 35B06 35L65 65M99 PDFBibTeX XMLCite \textit{J. Rottmann-Matthes}, Nonlinearity 30, No. 12, 4558--4586 (2017; Zbl 1421.35326) Full Text: DOI arXiv Link
Matus, P. P.; Poliakov, D. B. Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations. (English. Russian original) Zbl 1379.65065 Differ. Equ. 53, No. 7, 964-973 (2017); translation from Differ. Uravn. 53, No. 7, 991-1000 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35K59 35B50 65M15 PDFBibTeX XMLCite \textit{P. P. Matus} and \textit{D. B. Poliakov}, Differ. Equ. 53, No. 7, 964--973 (2017; Zbl 1379.65065); translation from Differ. Uravn. 53, No. 7, 991--1000 (2017) Full Text: DOI
Huang, Jianfei; Yang, Dandan A unified difference-spectral method for time-space fractional diffusion equations. (English) Zbl 1378.65159 Int. J. Comput. Math. 94, No. 6, 1172-1184 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 45D05 65M12 65M70 35R11 35K05 65M20 35K58 PDFBibTeX XMLCite \textit{J. Huang} and \textit{D. Yang}, Int. J. Comput. Math. 94, No. 6, 1172--1184 (2017; Zbl 1378.65159) Full Text: DOI
Lei, Siu-Long; Huang, Yun-Chi Fast algorithms for high-order numerical methods for space-fractional diffusion equations. (English) Zbl 1378.65160 Int. J. Comput. Math. 94, No. 5, 1062-1078 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35R11 65F10 65L20 65T50 35K05 65L06 65F08 PDFBibTeX XMLCite \textit{S.-L. Lei} and \textit{Y.-C. Huang}, Int. J. Comput. Math. 94, No. 5, 1062--1078 (2017; Zbl 1378.65160) Full Text: DOI
Li, Sheng-Kun A finite iterative method for solving the generalized Hamiltonian solutions of coupled Sylvester matrix equations with conjugate transpose. (English) Zbl 1373.65032 Int. J. Comput. Math. 94, No. 4, 757-773 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{S.-K. Li}, Int. J. Comput. Math. 94, No. 4, 757--773 (2017; Zbl 1373.65032) Full Text: DOI
Bai, Yu-Qin; Huang, Ting-Zhu; Luo, Wei-Hua Accelerated preconditioner updates for solving shifted linear systems. (English) Zbl 1371.65027 Int. J. Comput. Math. 94, No. 4, 747-756 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F08 65F50 PDFBibTeX XMLCite \textit{Y.-Q. Bai} et al., Int. J. Comput. Math. 94, No. 4, 747--756 (2017; Zbl 1371.65027) Full Text: DOI
Pozzi, Paola; Stinner, Björn Curve shortening flow coupled to lateral diffusion. (English) Zbl 1369.65111 Numer. Math. 135, No. 4, 1171-1205 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M20 65M15 65M60 35K40 65M12 PDFBibTeX XMLCite \textit{P. Pozzi} and \textit{B. Stinner}, Numer. Math. 135, No. 4, 1171--1205 (2017; Zbl 1369.65111) Full Text: DOI arXiv
Amat, Sergio; Candela, Vicente F. On the convergence of a local third order shock capturing method for hyperbolic conservation laws. (English) Zbl 1368.65157 Numer. Algorithms 74, No. 4, 1011-1028 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 65M06 35L65 76N15 76M20 PDFBibTeX XMLCite \textit{S. Amat} and \textit{V. F. Candela}, Numer. Algorithms 74, No. 4, 1011--1028 (2017; Zbl 1368.65157) Full Text: DOI
Jin, Bangti; Zhou, Zhi An analysis of Galerkin proper orthogonal decomposition for subdiffusion. (English) Zbl 1365.65224 ESAIM, Math. Model. Numer. Anal. 51, No. 1, 89-113 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 65M15 35K05 35R11 65M12 PDFBibTeX XMLCite \textit{B. Jin} and \textit{Z. Zhou}, ESAIM, Math. Model. Numer. Anal. 51, No. 1, 89--113 (2017; Zbl 1365.65224) Full Text: DOI arXiv
Arnold, Douglas N.; Chen, Hongtao Finite element exterior calculus for parabolic problems. (English) Zbl 1362.65100 ESAIM, Math. Model. Numer. Anal. 51, No. 1, 17-34 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 35K20 65M20 65M12 65M15 58A15 PDFBibTeX XMLCite \textit{D. N. Arnold} and \textit{H. Chen}, ESAIM, Math. Model. Numer. Anal. 51, No. 1, 17--34 (2017; Zbl 1362.65100) Full Text: DOI arXiv
Brachet, Matthieu; Chehab, Jean-Paul Stabilized times schemes for high accurate finite differences solutions of nonlinear parabolic equations. (English) Zbl 1378.65157 J. Sci. Comput. 69, No. 3, 946-982 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65F08 65M12 76D05 35K55 65-02 76M20 PDFBibTeX XMLCite \textit{M. Brachet} and \textit{J.-P. Chehab}, J. Sci. Comput. 69, No. 3, 946--982 (2016; Zbl 1378.65157) Full Text: DOI arXiv
Khalilov, E. H. Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation. (English. Russian original) Zbl 1367.65178 Comput. Math. Math. Phys. 56, No. 7, 1310-1318 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 7, 1340-1348 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N38 35J05 65N80 65N12 PDFBibTeX XMLCite \textit{E. H. Khalilov}, Comput. Math. Math. Phys. 56, No. 7, 1310--1318 (2016; Zbl 1367.65178); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 7, 1340--1348 (2016) Full Text: DOI
Hezari, Davod; Salkuyeh, Davod Khojasteh; Edalatpour, Vahid A new iterative method for solving a class of complex symmetric system of linear equations. (English) Zbl 1361.65016 Numer. Algorithms 73, No. 4, 927-955 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 PDFBibTeX XMLCite \textit{D. Hezari} et al., Numer. Algorithms 73, No. 4, 927--955 (2016; Zbl 1361.65016) Full Text: DOI
Nikazad, T.; Karimpour, M. Controlling noise error in block iterative methods. (English) Zbl 1361.65018 Numer. Algorithms 73, No. 4, 907-925 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 44A12 65R10 92C55 65F50 PDFBibTeX XMLCite \textit{T. Nikazad} and \textit{M. Karimpour}, Numer. Algorithms 73, No. 4, 907--925 (2016; Zbl 1361.65018) Full Text: DOI
Shen, Jie; Tang, Tao; Yang, Jiang On the maximum principle preserving schemes for the generalized Allen-Cahn equation. (English) Zbl 1361.65059 Commun. Math. Sci. 14, No. 6, 1517-1534 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M12 65M20 65M15 35Q35 35B50 35K57 65M50 PDFBibTeX XMLCite \textit{J. Shen} et al., Commun. Math. Sci. 14, No. 6, 1517--1534 (2016; Zbl 1361.65059) Full Text: DOI
Du, Shaohong; Sun, Shuyu; Xie, Xiaoping Residual-based a posteriori error estimation for multipoint flux mixed finite element methods. (English) Zbl 1380.65344 Numer. Math. 134, No. 1, 197-222 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N15 65N06 65N12 65N30 76S05 65N08 35J46 PDFBibTeX XMLCite \textit{S. Du} et al., Numer. Math. 134, No. 1, 197--222 (2016; Zbl 1380.65344) Full Text: DOI arXiv
Liang, Zhao-Zheng; Zhang, Guo-Feng Variants of the accelerated parameterized inexact Uzawa method for saddle-point problems. (English) Zbl 1343.65035 BIT 56, No. 2, 523-542 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F50 65F08 PDFBibTeX XMLCite \textit{Z.-Z. Liang} and \textit{G.-F. Zhang}, BIT 56, No. 2, 523--542 (2016; Zbl 1343.65035) Full Text: DOI
Wu, Shi-Liang; Guo, Peng On the unique solvability of the absolute value equation. (English) Zbl 1343.65060 J. Optim. Theory Appl. 169, No. 2, 705-712 (2016); correction ibid. 200, No. 2, 891-893 (2024); errata ibid. 200, No. 3, 1309-1310 (2024). Reviewer: Gisbert Stoyan (Budapest) MSC: 65H10 90C05 65F10 PDFBibTeX XMLCite \textit{S.-L. Wu} and \textit{P. Guo}, J. Optim. Theory Appl. 169, No. 2, 705--712 (2016; Zbl 1343.65060) Full Text: DOI
Cheng, Xiaohan; Nie, Yufeng A third-order entropy stable scheme for hyperbolic conservation laws. (English) Zbl 1341.65030 J. Hyperbolic Differ. Equ. 13, No. 1, 129-145 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35L65 65M12 65M20 PDFBibTeX XMLCite \textit{X. Cheng} and \textit{Y. Nie}, J. Hyperbolic Differ. Equ. 13, No. 1, 129--145 (2016; Zbl 1341.65030) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. (English) Zbl 1336.65150 IMA J. Numer. Anal. 36, No. 1, 197-221 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M12 65M60 35K20 35R11 PDFBibTeX XMLCite \textit{B. Jin} et al., IMA J. Numer. Anal. 36, No. 1, 197--221 (2016; Zbl 1336.65150) Full Text: DOI arXiv
Mazumder, Sandip Numerical methods for partial differential equations. Finite difference and finite volume methods. (English) Zbl 1361.65058 Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-849894-1/pbk). xix, 461 p. (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M08 65-01 65F10 65M12 35K99 35L99 PDFBibTeX XMLCite \textit{S. Mazumder}, Numerical methods for partial differential equations. Finite difference and finite volume methods. Amsterdam: Elsevier/Academic Press (2016; Zbl 1361.65058) Full Text: Link
Ottaviani, Giorgio; Paoletti, Raffaella A geometric perspective on the singular value decomposition. (English) Zbl 1345.15006 Rend. Ist. Mat. Univ. Trieste 47, 107-125 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 15A69 15A18 14N05 65F20 PDFBibTeX XMLCite \textit{G. Ottaviani} and \textit{R. Paoletti}, Rend. Ist. Mat. Univ. Trieste 47, 107--125 (2015; Zbl 1345.15006) Full Text: DOI arXiv
Macías-Díaz, J. E.; Avelar-González, F. J.; Landry, R. S. On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations. (English) Zbl 1336.65138 J. Difference Equ. Appl. 21, No. 11, 1021-1043 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35K57 65F50 35Q92 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} et al., J. Difference Equ. Appl. 21, No. 11, 1021--1043 (2015; Zbl 1336.65138) Full Text: DOI
Ohm, Mi Ray; Lee, Hyun Young; Shin, Jun Yong Error estimates for fully discrete mixed discontinuous Galerkin approximations for parabolic problems. (English) Zbl 1338.65222 East Asian Math. J. 31, No. 5, 685-693 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M60 35K20 PDFBibTeX XMLCite \textit{M. R. Ohm} et al., East Asian Math. J. 31, No. 5, 685--693 (2015; Zbl 1338.65222) Full Text: DOI
Jampawai, Thanatyod; Mekchay, Khamron Convergence of AFEM for second order semi-linear elliptic PDEs. (English) Zbl 1335.65085 Thai J. Math. 13, No. 2, 259-276 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N12 65N30 65N50 35J61 PDFBibTeX XMLCite \textit{T. Jampawai} and \textit{K. Mekchay}, Thai J. Math. 13, No. 2, 259--276 (2015; Zbl 1335.65085) Full Text: Link
Guo, Li; Xu, Yan Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1334.65154 J. Sci. Comput. 65, No. 2, 622-647 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 65M20 65M15 65M06 35Q55 PDFBibTeX XMLCite \textit{L. Guo} and \textit{Y. Xu}, J. Sci. Comput. 65, No. 2, 622--647 (2015; Zbl 1334.65154) Full Text: DOI
Guo, Wei; Qiu, Jing-Mei; Qiu, Jianxian A new Lax-Wendroff discontinuous Galerkin method with superconvergence. (English) Zbl 1333.65110 J. Sci. Comput. 65, No. 1, 299-326 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 65M12 35L65 35L02 65M20 PDFBibTeX XMLCite \textit{W. Guo} et al., J. Sci. Comput. 65, No. 1, 299--326 (2015; Zbl 1333.65110) Full Text: DOI
Bespalov, M. S. Cyclic operators for columns of the matrices of discrete transforms. (English. Russian original) Zbl 1329.65329 J. Math. Sci., New York 208, No. 1, 36-48 (2015); translation from Probl. Mat. Anal. 79, 35-44 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65T50 65F30 42C10 15A04 15B34 PDFBibTeX XMLCite \textit{M. S. Bespalov}, J. Math. Sci., New York 208, No. 1, 36--48 (2015; Zbl 1329.65329); translation from Probl. Mat. Anal. 79, 35--44 (2015) Full Text: DOI
Huang, Zhengda; Zhou, Xiaoyan On the minimum convergence factor of a class of GSOR-like methods for augmented systems. (English) Zbl 1327.65061 Numer. Algorithms 70, No. 1, 113-132 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{X. Zhou}, Numer. Algorithms 70, No. 1, 113--132 (2015; Zbl 1327.65061) Full Text: DOI
El-Gamel, Mohamed A note on solving the fourth-order parabolic equation by the sinc-Galerkin method. (English) Zbl 1327.65192 Calcolo 52, No. 3, 327-342 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 35L20 65M12 PDFBibTeX XMLCite \textit{M. El-Gamel}, Calcolo 52, No. 3, 327--342 (2015; Zbl 1327.65192) Full Text: DOI
Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro Stability of finite difference schemes for nonlinear complex reaction-diffusion processes. (English) Zbl 1323.65099 IMA J. Numer. Anal. 35, No. 3, 1381-1401 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 65M06 35K57 PDFBibTeX XMLCite \textit{A. Araújo} et al., IMA J. Numer. Anal. 35, No. 3, 1381--1401 (2015; Zbl 1323.65099) Full Text: DOI
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire; Filbet, Francis On discrete functional inequalities for some finite volume schemes. (English) Zbl 1326.65145 IMA J. Numer. Anal. 35, No. 3, 1125-1149 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N08 35J25 65N12 26D10 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} et al., IMA J. Numer. Anal. 35, No. 3, 1125--1149 (2015; Zbl 1326.65145) Full Text: DOI arXiv
Costabel, Martin; Dauge, Monique On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne. (English) Zbl 1329.35019 Arch. Ration. Mech. Anal. 217, No. 3, 873-898 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 35A23 PDFBibTeX XMLCite \textit{M. Costabel} and \textit{M. Dauge}, Arch. Ration. Mech. Anal. 217, No. 3, 873--898 (2015; Zbl 1329.35019) Full Text: DOI arXiv
Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. (English) Zbl 1322.65092 Numer. Math. 130, No. 3, 541-566 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 35B41 65M06 86A05 35Q86 PDFBibTeX XMLCite \textit{F. Tone} et al., Numer. Math. 130, No. 3, 541--566 (2015; Zbl 1322.65092) Full Text: DOI arXiv Link
Oishi, Cassio M.; Yuan, Jin Y.; Cuminato, Jose A.; Stewart, David E. Stability analysis of Crank-Nicolson and Euler schemes for time-dependent diffusion equations. (English) Zbl 1325.65130 BIT 55, No. 2, 487-513 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 65M06 35K05 PDFBibTeX XMLCite \textit{C. M. Oishi} et al., BIT 55, No. 2, 487--513 (2015; Zbl 1325.65130) Full Text: DOI
Gander, Martin J.; Halpern, Laurence; Santugini, Kévin Continuous analysis of the additive Schwarz method: a stable decomposition in \(H^1\) with explicit constants. (English) Zbl 1320.65190 ESAIM, Math. Model. Numer. Anal. 49, No. 3, 713-740 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N55 65F10 65F08 35J05 65N12 65N30 PDFBibTeX XMLCite \textit{M. J. Gander} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 3, 713--740 (2015; Zbl 1320.65190) Full Text: DOI
Elliott, Charles M.; Venkataraman, Chandrasekhar Error analysis for an ALE evolving surface finite element method. (English) Zbl 1318.65063 Numer. Methods Partial Differ. Equations 31, No. 2, 459-499 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M60 35K20 65M20 PDFBibTeX XMLCite \textit{C. M. Elliott} and \textit{C. Venkataraman}, Numer. Methods Partial Differ. Equations 31, No. 2, 459--499 (2015; Zbl 1318.65063) Full Text: DOI arXiv
Chang, Qianshun; Jia, Rong-Qing A refined convergence analysis of multigrid algorithms for elliptic equations. (English) Zbl 1316.65095 Anal. Appl., Singap. 13, No. 3, 255-290 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N12 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{Q. Chang} and \textit{R.-Q. Jia}, Anal. Appl., Singap. 13, No. 3, 255--290 (2015; Zbl 1316.65095) Full Text: DOI
Yin, Li; Wu, Jiming; Gao, Zhiming The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids. (English) Zbl 1314.65140 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 193-220 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N08 65N12 35J25 65N15 PDFBibTeX XMLCite \textit{L. Yin} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 1, 193--220 (2015; Zbl 1314.65140) Full Text: DOI Link
Akaiwa, Kanae; Iwasaki, Masashi; Kondo, Koichi; Nakamura, Yoshimasa A tridiagonal matrix construction by the quotient difference recursion formula in the case of multiple eigenvalues. (English) Zbl 1329.65080 Pac. J. Math. Ind. 6, 21-29 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F18 65F50 68W30 PDFBibTeX XMLCite \textit{K. Akaiwa} et al., Pac. J. Math. Ind. 6, 21--29 (2014; Zbl 1329.65080) Full Text: DOI
Allahviranloo, T.; Hosseinzadeh, A. A.; Ghanbari, M.; Haghi, E.; Nuraei, R. On the new solutions for a fully fuzzy linear system. (English) Zbl 1329.65085 Soft Comput. 18, No. 1, 95-107 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F30 65G30 15B15 PDFBibTeX XMLCite \textit{T. Allahviranloo} et al., Soft Comput. 18, No. 1, 95--107 (2014; Zbl 1329.65085) Full Text: DOI
Halpern, Laurence; Rauch, Jeffrey Bérenger/Maxwell with discontinous absorptions: existence, perfection, and no loss. (English) Zbl 1327.65174 Sémin. Laurent Schwartz, EDP Appl. 2012-2013, Exp. No. X, 20 p. (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 30E10 PDFBibTeX XMLCite \textit{L. Halpern} and \textit{J. Rauch}, Sémin. Laurent Schwartz, EDP Appl. 2012--2013, Exp. No. X, 20 p. (2014; Zbl 1327.65174) Full Text: DOI Link
Li, Buyang; Sun, Weiwei Linearized FE approximations to a nonlinear gradient flow. (English) Zbl 1317.65208 SIAM J. Numer. Anal. 52, No. 6, 2623-2646 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 65M12 35K55 35Q30 65M15 PDFBibTeX XMLCite \textit{B. Li} and \textit{W. Sun}, SIAM J. Numer. Anal. 52, No. 6, 2623--2646 (2014; Zbl 1317.65208) Full Text: DOI arXiv
Lei, Gang; Yang, Jianhong; Chen, Yihu; Yang, Jianwei; Li, Jian Convergence analysis of the new splitting preconditioned SOR-type iterative methods for the linear system. (English) Zbl 1314.65047 Numer. Methods Partial Differ. Equations 30, No. 5, 1716-1726 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{G. Lei} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1716--1726 (2014; Zbl 1314.65047) Full Text: DOI
Chen, Luoping; Chen, Yanping Two-grid discretization scheme for nonlinear reaction diffusion equation by mixed finite element methods. (English) Zbl 1314.65126 Adv. Appl. Math. Mech. 6, No. 2, 203-219 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 65M15 65M12 76D07 76M10 35K57 65M55 PDFBibTeX XMLCite \textit{L. Chen} and \textit{Y. Chen}, Adv. Appl. Math. Mech. 6, No. 2, 203--219 (2014; Zbl 1314.65126) Full Text: DOI
Khader, M. M.; Sweilam, N. H. Approximate solutions for the fractional advection-dispersion equation using Legendre pseudo-spectral method. (English) Zbl 1312.65167 Comput. Appl. Math. 33, No. 3, 739-750 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M70 35R11 65M12 35L20 65M15 PDFBibTeX XMLCite \textit{M. M. Khader} and \textit{N. H. Sweilam}, Comput. Appl. Math. 33, No. 3, 739--750 (2014; Zbl 1312.65167) Full Text: DOI
Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. (English) Zbl 1305.65222 Inverse Probl. 30, No. 10, Article ID 105009, 19 p. (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N21 65R32 PDFBibTeX XMLCite \textit{F. Cakoni} et al., Inverse Probl. 30, No. 10, Article ID 105009, 19 p. (2014; Zbl 1305.65222) Full Text: DOI
Li, Hengguang; Ovall, Jeffrey S. A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential. (English) Zbl 1320.65178 Numer. Math. 128, No. 4, 707-740 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{H. Li} and \textit{J. S. Ovall}, Numer. Math. 128, No. 4, 707--740 (2014; Zbl 1320.65178) Full Text: DOI
Hu, Jun; Ma, Rui; Shi, Zhongci A new a priori error estimate of nonconforming finite element methods. (English) Zbl 1309.65125 Sci. China, Math. 57, No. 5, 887-902 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N15 65N30 35J25 35J40 35J05 PDFBibTeX XMLCite \textit{J. Hu} et al., Sci. China, Math. 57, No. 5, 887--902 (2014; Zbl 1309.65125) Full Text: DOI
Gao, Huadong Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations. (English) Zbl 1305.65200 J. Sci. Comput. 58, No. 3, 627-647 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M60 35K61 80A20 80M10 65M20 65M06 65M12 PDFBibTeX XMLCite \textit{H. Gao}, J. Sci. Comput. 58, No. 3, 627--647 (2014; Zbl 1305.65200) Full Text: DOI
Guan, Xiaofei; Li, Mingxia; He, Wenming; Jiang, Zhengwu Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients. (English) Zbl 1302.65238 Cent. Eur. J. Math. 12, No. 11, 1733-1747 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{X. Guan} et al., Cent. Eur. J. Math. 12, No. 11, 1733--1747 (2014; Zbl 1302.65238) Full Text: DOI
Sun, Zhi-Zhong; Dai, Weizhong A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. (English) Zbl 1310.65096 Numer. Methods Partial Differ. Equations 30, No. 4, 1291-1314 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M12 76A20 80A20 PDFBibTeX XMLCite \textit{Z.-Z. Sun} and \textit{W. Dai}, Numer. Methods Partial Differ. Equations 30, No. 4, 1291--1314 (2014; Zbl 1310.65096) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. (English) Zbl 1300.65060 Numer. Methods Partial Differ. Equations 30, No. 4, 1234-1253 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35Q40 35R11 65M12 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., Numer. Methods Partial Differ. Equations 30, No. 4, 1234--1253 (2014; Zbl 1300.65060) Full Text: DOI
Bertrand, Fleurianne; Münzenmaier, Steffen; Starke, Gerhard First-order system least squares on curved boundaries: lowest-order Raviart-Thomas elements. (English) Zbl 1300.65084 SIAM J. Numer. Anal. 52, No. 2, 880-894 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 35J05 65N12 PDFBibTeX XMLCite \textit{F. Bertrand} et al., SIAM J. Numer. Anal. 52, No. 2, 880--894 (2014; Zbl 1300.65084) Full Text: DOI
Baskharone, Erian A. The finite element method with heat transfer and fluid mechanics applications. (English) Zbl 1295.76001 Cambridge: Cambridge University Press (ISBN 978-1-107-03981-0/hbk; 978-1-107-45456-9/ebook). xviii, 373 p. (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 76-01 76M10 76D05 80M10 80A20 PDFBibTeX XMLCite \textit{E. A. Baskharone}, The finite element method with heat transfer and fluid mechanics applications. Cambridge: Cambridge University Press (2014; Zbl 1295.76001)
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
Srivastava, Shwetabh; Gupta, D. K. An iterative method for orthogonal projections of generalized inverses. (English) Zbl 1306.65192 J. Appl. Math. Inform. 32, No. 1-2, 61-74 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{S. Srivastava} and \textit{D. K. Gupta}, J. Appl. Math. Inform. 32, No. 1--2, 61--74 (2014; Zbl 1306.65192) Full Text: DOI
Ashyralyev, Allaberen; Özger, Faruk The hyperbolic-elliptic equation with the nonlocal condition. (English) Zbl 1288.65133 Math. Methods Appl. Sci. 37, No. 4, 524-545 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M20 65M06 35M10 65M12 PDFBibTeX XMLCite \textit{A. Ashyralyev} and \textit{F. Özger}, Math. Methods Appl. Sci. 37, No. 4, 524--545 (2014; Zbl 1288.65133) Full Text: DOI
Valkov, Radoslav Fitted finite volume method for a generalized Black-Scholes equation transformed on finite interval. (English) Zbl 1287.65071 Numer. Algorithms 65, No. 1, 195-220 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M08 35K65 91G60 65M12 PDFBibTeX XMLCite \textit{R. Valkov}, Numer. Algorithms 65, No. 1, 195--220 (2014; Zbl 1287.65071) Full Text: DOI arXiv
Ohm, Mi Ray; Lee, Hyun Young; Shin, Jun Yong A priori \(L^2\) error analysis for an expanded mixed finite element method for quasilinear pseudo-parabolic equations. (English) Zbl 1285.65060 J. Korean Math. Soc. 51, No. 1, 67-86 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M60 35K59 35K70 65M12 PDFBibTeX XMLCite \textit{M. R. Ohm} et al., J. Korean Math. Soc. 51, No. 1, 67--86 (2014; Zbl 1285.65060) Full Text: DOI Link
Deng, Dingwen; Zhang, Chengjian A family of new fourth-order solvers for a nonlinear damped wave equation. (English) Zbl 1306.65241 Comput. Phys. Commun. 184, No. 1, 86-101 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35L71 65M15 65M12 PDFBibTeX XMLCite \textit{D. Deng} and \textit{C. Zhang}, Comput. Phys. Commun. 184, No. 1, 86--101 (2013; Zbl 1306.65241) Full Text: DOI
Attanayake, Champike On long time error analysis technique for nerve axon type equations. (English) Zbl 1308.65166 Int. J. Appl. Math. 26, No. 4, 447-458 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 65M15 92C20 PDFBibTeX XMLCite \textit{C. Attanayake}, Int. J. Appl. Math. 26, No. 4, 447--458 (2013; Zbl 1308.65166) Full Text: DOI Link
Amarala, Swathi; Wan, Justin W. L. Multigrid methods for systems of hyperbolic conservation laws. (English) Zbl 1299.65224 Multiscale Model. Simul. 11, No. 2, 586-614 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M55 65D05 65F10 65F50 65M12 35L65 PDFBibTeX XMLCite \textit{S. Amarala} and \textit{J. W. L. Wan}, Multiscale Model. Simul. 11, No. 2, 586--614 (2013; Zbl 1299.65224) Full Text: DOI Link
Faber, Vance; Liesen, Jörg; Tichý, Petr Properties of worst-case GMRES. (English) Zbl 1291.65096 SIAM J. Matrix Anal. Appl. 34, No. 4, 1500-1519 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 PDFBibTeX XMLCite \textit{V. Faber} et al., SIAM J. Matrix Anal. Appl. 34, No. 4, 1500--1519 (2013; Zbl 1291.65096) Full Text: DOI arXiv
Fedotov, E. M. On the convergence of solutions for a class of nonconformal FEM schemes for quasilinear elliptic equations. (English. Russian original) Zbl 1285.65069 Differ. Equ. 49, No. 9, 1176-1186 (2013); translation from Differ. Uravn. 49, No. 9, 1210-1219 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N12 65N30 35J62 PDFBibTeX XMLCite \textit{E. M. Fedotov}, Differ. Equ. 49, No. 9, 1176--1186 (2013; Zbl 1285.65069); translation from Differ. Uravn. 49, No. 9, 1210--1219 (2013) Full Text: DOI
Rukavishnikov, V. A.; Rukavishnikova, H. I. On the error estimation of the finite element method for the boundary value problems with singularity in the Lebesgue weighted space. (English) Zbl 1286.65146 Numer. Funct. Anal. Optim. 34, No. 12, 1328-1347 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N15 65N30 35J25 35J70 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{H. I. Rukavishnikova}, Numer. Funct. Anal. Optim. 34, No. 12, 1328--1347 (2013; Zbl 1286.65146) Full Text: DOI
Asadzadeh, Mohammad; Kazemi, Ehsan On convergence of the streamline diffusion and discontinuous Galerkin methods for the multi-dimensional Fermi pencil beam equation. (English) Zbl 1282.65115 Int. J. Numer. Anal. Model. 10, No. 4, 860-875 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 35Q40 81Q05 81V25 65M12 PDFBibTeX XMLCite \textit{M. Asadzadeh} and \textit{E. Kazemi}, Int. J. Numer. Anal. Model. 10, No. 4, 860--875 (2013; Zbl 1282.65115) Full Text: Link
Xie, Ziqing; Zhu, Peng; Zhou, Shuzi Uniform convergence of a coupled method for convection-diffusion problems in 2D Shishkin mesh. (English) Zbl 1282.65134 Int. J. Numer. Anal. Model. 10, No. 4, 845-859 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N12 65N30 65N15 35J25 65N50 PDFBibTeX XMLCite \textit{Z. Xie} et al., Int. J. Numer. Anal. Model. 10, No. 4, 845--859 (2013; Zbl 1282.65134) Full Text: Link
Dehghan, Mehdi; Dehghani-Madiseh, Marzieh; Hajarian, Masoud A generalized preconditioned MHSS method for a class of complex symmetric linear systems. (English) Zbl 1281.65058 Math. Model. Anal. 18, No. 4, 561-576 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F08 65F50 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Math. Model. Anal. 18, No. 4, 561--576 (2013; Zbl 1281.65058) Full Text: DOI
Ivanov, Ivan; Netov, Nikolay A new iteration to coupled discrete-time generalized Riccati equations. (English) Zbl 1280.65062 Comput. Appl. Math. 32, No. 3, 563-576 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65K10 49J15 49J55 93E20 PDFBibTeX XMLCite \textit{I. Ivanov} and \textit{N. Netov}, Comput. Appl. Math. 32, No. 3, 563--576 (2013; Zbl 1280.65062) Full Text: DOI
Chao, Zhen; Zhang, Naimin; Shen, Pan Convergence of \(P\)-regular splitting iterative methods for non-Hermitian positive semidefinite linear systems. (English) Zbl 1295.65033 Int. J. Comput. Math. 90, No. 3, 630-640 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 PDFBibTeX XMLCite \textit{Z. Chao} et al., Int. J. Comput. Math. 90, No. 3, 630--640 (2013; Zbl 1295.65033) Full Text: DOI
Axelsson, Owe Preconditioners for some matrices of two-by-two block form, with applications. I. (English) Zbl 1279.65035 Iliev, Oleg P. (ed.) et al., Numerical solution of partial differential equations: Theory, algorithms, and their applications. Papers based on the international symposium, Sozopol, Bulgaria, June 7–8, 2013. In Honor of Professor Raytcho Lazarov’s 40 years of research in computational methods and applied mathematics and on the occasion of his 70th birthday. New York, NY: Springer (ISBN 978-1-4614-7171-4/hbk; 978-1-4614-7172-1/ebook). Springer Proceedings in Mathematics & Statistics 45, 45-67 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F08 65N22 90C20 93C20 65K10 PDFBibTeX XMLCite \textit{O. Axelsson}, Springer Proc. Math. Stat. 45, 45--67 (2013; Zbl 1279.65035) Full Text: DOI
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. (English) Zbl 1278.65138 SIAM J. Numer. Anal. 51, No. 2, 773-793 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M50 35K65 65M06 65M60 PDFBibTeX XMLCite \textit{V. Dolejší} et al., SIAM J. Numer. Anal. 51, No. 2, 773--793 (2013; Zbl 1278.65138) Full Text: DOI HAL
Wu, Shu-Lin; Huang, Ting-Zhu Schwarz waveform relaxation for a neutral functional partial differential equation model of lossless coupled transmission lines. (English) Zbl 1278.65139 SIAM J. Sci. Comput. 35, No. 2, A1161-A1191 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M20 65M55 65M12 65M06 35R10 PDFBibTeX XMLCite \textit{S.-L. Wu} and \textit{T.-Z. Huang}, SIAM J. Sci. Comput. 35, No. 2, A1161--A1191 (2013; Zbl 1278.65139) Full Text: DOI
Deng, Dingwen; Zhang, Chengjian Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables. (English) Zbl 1269.65078 Numer. Algorithms 63, No. 1, 1-26 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35L20 65M12 65M15 PDFBibTeX XMLCite \textit{D. Deng} and \textit{C. Zhang}, Numer. Algorithms 63, No. 1, 1--26 (2013; Zbl 1269.65078) Full Text: DOI
Lee, Geunseop; Fu, Haoying; Barlow, Jesse L. Fast high-resolution image reconstruction using Tikhonov regularization based total least squares. (English) Zbl 1267.65027 SIAM J. Sci. Comput. 35, No. 1, B275-B290 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65D18 65F10 65F22 65F20 65F08 65F15 94A08 65F50 65K05 PDFBibTeX XMLCite \textit{G. Lee} et al., SIAM J. Sci. Comput. 35, No. 1, B275--B290 (2013; Zbl 1267.65027) Full Text: DOI
Fritzsche, David; Frommer, Andreas; Shank, Stephen D.; Szyld, Daniel B. Overlapping blocks by growing a partition with applications to preconditioning. (English) Zbl 1268.65044 SIAM J. Sci. Comput. 35, No. 1, A453-A473 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F08 05C85 05C20 05C50 PDFBibTeX XMLCite \textit{D. Fritzsche} et al., SIAM J. Sci. Comput. 35, No. 1, A453--A473 (2013; Zbl 1268.65044) Full Text: DOI Link
Hon, Y. C.; Schaback, R. Solving the 3D Laplace equation by meshless collocation via harmonic kernels. (English) Zbl 1272.65096 Adv. Comput. Math. 38, No. 1, 1-19 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N35 65N80 65N12 35J05 65N15 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{R. Schaback}, Adv. Comput. Math. 38, No. 1, 1--19 (2013; Zbl 1272.65096) Full Text: DOI
Potra, Florian A.; Engler, Hans A characterization of the behavior of the Anderson acceleration on linear problems. (English) Zbl 1263.65036 Linear Algebra Appl. 438, No. 3, 1002-1011 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 PDFBibTeX XMLCite \textit{F. A. Potra} and \textit{H. Engler}, Linear Algebra Appl. 438, No. 3, 1002--1011 (2013; Zbl 1263.65036) Full Text: DOI arXiv
Gosse, Laurent Computing qualitatively correct approximations of balance laws. Exponential-fit, well-balanced and asymptotic-preserving. (English) Zbl 1272.65065 SIMAI Springer Series 2. Milano: Springer (ISBN 978-88-470-2891-3/hbk; 978-88-470-2892-0/ebook). xix, 340 p. (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M15 65M12 65-02 35L72 35Q82 82C40 82D37 82C31 35Q20 35Q53 35Q83 PDFBibTeX XMLCite \textit{L. Gosse}, Computing qualitatively correct approximations of balance laws. Exponential-fit, well-balanced and asymptotic-preserving. Milano: Springer (2013; Zbl 1272.65065) Full Text: DOI
Wachspress, Eugene The ADI model problem. (English) Zbl 1277.65022 New York, NY: Springer (ISBN 978-1-4614-5121-1/hbk; 978-1-4614-5122-8/ebook). x, 167 p. (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65-02 65F30 65F08 65N06 65N30 65N12 15A24 PDFBibTeX XMLCite \textit{E. Wachspress}, The ADI model problem. New York, NY: Springer (2013; Zbl 1277.65022) Full Text: DOI
Trangenstein, John A. Numerical solution of elliptic and parabolic partial differential equations. (English) Zbl 1297.65161 Cambridge: Cambridge University Press (ISBN 978-0-521-87726-8/mixed media; 978-1-107-04383-1/hbk; 978-1-139-02550-8/ebook). xix, 635 p. (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 65M60 65N22 65M22 65-01 65F10 65H10 65N55 65M55 35J25 35K20 PDFBibTeX XMLCite \textit{J. A. Trangenstein}, Numerical solution of elliptic and parabolic partial differential equations. Cambridge: Cambridge University Press (2013; Zbl 1297.65161) Full Text: DOI
Ganesan, Sashikumaar An operator-splitting Galerkin/SUPG finite element method for population balance equations: stability and convergence. (English) Zbl 1273.65143 ESAIM, Math. Model. Numer. Anal. 46, No. 6, 1447-1465 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 35K20 65M12 65M15 PDFBibTeX XMLCite \textit{S. Ganesan}, ESAIM, Math. Model. Numer. Anal. 46, No. 6, 1447--1465 (2012; Zbl 1273.65143) Full Text: DOI
Luo, FuSheng; Lin, Qun; Xie, HeHu Computing the lower and upper bounds of Laplace eigenvalue problem by combining conforming and nonconforming finite element methods. (English) Zbl 1261.65112 Sci. China, Math. 55, No. 5, 1069-1082 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N25 65N30 65N15 35P15 65N12 PDFBibTeX XMLCite \textit{F. Luo} et al., Sci. China, Math. 55, No. 5, 1069--1082 (2012; Zbl 1261.65112) Full Text: DOI arXiv
Shen, Shu-Qian; Huang, Ting-Zhu; Zhang, Jian-Song Augmentation block triangular preconditioners for regularized saddle point problems. (English) Zbl 1261.65033 SIAM J. Matrix Anal. Appl. 33, No. 3, 721-741 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F08 65F10 PDFBibTeX XMLCite \textit{S.-Q. Shen} et al., SIAM J. Matrix Anal. Appl. 33, No. 3, 721--741 (2012; Zbl 1261.65033) Full Text: DOI
Ren, Zongxiu; Wei, Leilei; He, Yinnian; Wang, Shaoli Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation. (English) Zbl 1259.65151 Math. Model. Anal. 17, No. 4, 558-570 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 35Q53 65M15 65M12 35R11 PDFBibTeX XMLCite \textit{Z. Ren} et al., Math. Model. Anal. 17, No. 4, 558--570 (2012; Zbl 1259.65151) Full Text: DOI
Deng, Dingwen; Zhang, Chengjian A new fourth-order numerical algorithm for a class of nonlinear wave equations. (English) Zbl 1254.65090 Appl. Numer. Math. 62, No. 12, 1864-1879 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 PDFBibTeX XMLCite \textit{D. Deng} and \textit{C. Zhang}, Appl. Numer. Math. 62, No. 12, 1864--1879 (2012; Zbl 1254.65090) Full Text: DOI
Bécache, Eliane; Prieto, Andrés Remarks on the stability of Cartesian PMLs in corners. (English) Zbl 1257.65052 Appl. Numer. Math. 62, No. 11, 1639-1653 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 35L02 35L40 65M06 65M60 PDFBibTeX XMLCite \textit{E. Bécache} and \textit{A. Prieto}, Appl. Numer. Math. 62, No. 11, 1639--1653 (2012; Zbl 1257.65052) Full Text: DOI arXiv
Dryja, Maksymilian; Galvis, Juan; Sarkis, Marcus Neumann-Neumann methods for a DG discretization on geometrically nonconforming substructures. (English) Zbl 1255.65210 Numer. Methods Partial Differ. Equations 28, No. 4, 1194-1226 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 65N55 35J25 35R05 65F08 65F35 PDFBibTeX XMLCite \textit{M. Dryja} et al., Numer. Methods Partial Differ. Equations 28, No. 4, 1194--1226 (2012; Zbl 1255.65210) Full Text: DOI
Di Pietro, Daniele A.; Ern, Alexandre Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. (English) Zbl 1267.65178 Numer. Methods Partial Differ. Equations 28, No. 4, 1161-1177 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 35R05 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{A. Ern}, Numer. Methods Partial Differ. Equations 28, No. 4, 1161--1177 (2012; Zbl 1267.65178) Full Text: DOI HAL
Griebel, Michael; Oswald, Peter Greedy and randomized versions of the multiplicative Schwarz method. (English) Zbl 1251.65048 Linear Algebra Appl. 437, No. 7, 1596-1610 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65N22 35J05 65N30 65N12 15B05 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{P. Oswald}, Linear Algebra Appl. 437, No. 7, 1596--1610 (2012; Zbl 1251.65048) Full Text: DOI
Sun, Yao; Zhang, Deyue; Ma, Fuming A potential function method for the Cauchy problem of elliptic operators. (English) Zbl 1254.65099 J. Math. Anal. Appl. 395, No. 1, 164-174 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M30 35J05 65M32 35R25 35R30 PDFBibTeX XMLCite \textit{Y. Sun} et al., J. Math. Anal. Appl. 395, No. 1, 164--174 (2012; Zbl 1254.65099) Full Text: DOI