Meixner, Aaron; Piersanti, Paolo Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method. (English) Zbl 07822050 Appl. Math. Optim. 89, No. 2, Paper No. 45, 60 p. (2024). MSC: 49J40 49M25 65-XX PDFBibTeX XMLCite \textit{A. Meixner} and \textit{P. Piersanti}, Appl. Math. Optim. 89, No. 2, Paper No. 45, 60 p. (2024; Zbl 07822050) Full Text: DOI arXiv
Coeuret, Lucas Tamed stability of finite difference schemes for the transport equation on the half-line. (English) Zbl 07810328 Math. Comput. 93, No. 347, 1097-1151 (2024). MSC: 65M06 65N06 65M12 47B35 35L04 PDFBibTeX XMLCite \textit{L. Coeuret}, Math. Comput. 93, No. 347, 1097--1151 (2024; Zbl 07810328) Full Text: DOI arXiv
Lukyanenko, D. V.; Argun, R. L.; Borzunov, A. A.; Gorbachev, A. V.; Shinkarev, V. D.; Shishlenin, M. A.; Yagola, A. G. On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types. (English) Zbl 07810128 Differ. Equ. 59, No. 12, 1734-1757 (2023). MSC: 65M32 35R30 65M06 65N06 65N50 65L80 65L05 65K10 65D05 41A60 35B25 35Q53 PDFBibTeX XMLCite \textit{D. V. Lukyanenko} et al., Differ. Equ. 59, No. 12, 1734--1757 (2023; Zbl 07810128) Full Text: DOI
Xu, Changling; Li, Huilai Two-grid methods of finite element approximation for parabolic integro-differential optimal control problems. (English) Zbl 07804369 Electron. Res. Arch. 31, No. 8, 4818-4842 (2023). MSC: 65N55 65N50 65M60 65M06 65N30 65M12 65M15 35R09 49M25 49K20 93C20 PDFBibTeX XMLCite \textit{C. Xu} and \textit{H. Li}, Electron. Res. Arch. 31, No. 8, 4818--4842 (2023; Zbl 07804369) Full Text: DOI
Guo, Bao-Zhu; Zhao, Xi Uniformly exponential stability of semi-discrete scheme for a vibration cable with a tip mass under observer-based feedback control. (English) Zbl 07798863 ESAIM, Control Optim. Calc. Var. 29, Paper No. 72, 30 p. (2023). MSC: 35B40 35L20 34D20 49M25 65L20 65N12 93D15 PDFBibTeX XMLCite \textit{B.-Z. Guo} and \textit{X. Zhao}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 72, 30 p. (2023; Zbl 07798863) Full Text: DOI
Lei, Wenyu; Turkiyyah, George; Knio, Omar Finite element discretizations for variable-order fractional diffusion problems. (English) Zbl 1522.65216 J. Sci. Comput. 97, No. 1, Paper No. 5, 36 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N35 65N38 65N06 65N22 65D32 65F55 35A01 35A02 35R11 PDFBibTeX XMLCite \textit{W. Lei} et al., J. Sci. Comput. 97, No. 1, Paper No. 5, 36 p. (2023; Zbl 1522.65216) Full Text: DOI arXiv
Inoue, Daisuke; Ito, Yuji; Kashiwabara, Takahito; Saito, Norikazu; Yoshida, Hiroaki A fictitious-play finite-difference method for linearly solvable mean field games. (English) Zbl 1522.91010 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 1863-1892 (2023). MSC: 91-08 65M06 91A16 49N80 49M25 35Q91 PDFBibTeX XMLCite \textit{D. Inoue} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 1863--1892 (2023; Zbl 1522.91010) Full Text: DOI arXiv
Li, Xiaowu; Tang, Yuelong A two-layer Crank-Nicolson linear finite element methods for second-order hyperbolic optimal control problems. (English) Zbl 1517.65087 Results Appl. Math. 18, Article ID 100365, 10 p. (2023). MSC: 65M60 65M06 65N30 49M25 49M41 35L10 35B45 93C20 PDFBibTeX XMLCite \textit{X. Li} and \textit{Y. Tang}, Results Appl. Math. 18, Article ID 100365, 10 p. (2023; Zbl 1517.65087) Full Text: DOI
Wang, Chuan; Wang, Tian-jun A multi-domain Galerkin method with numerical integration for the Burgers equation. (English) Zbl 1524.65688 Int. J. Comput. Math. 100, No. 5, 927-947 (2023). MSC: 65M70 41A30 35K55 35Q35 65M60 65D05 33C45 42C10 65M06 65N35 65N30 PDFBibTeX XMLCite \textit{C. Wang} and \textit{T.-j. Wang}, Int. J. Comput. Math. 100, No. 5, 927--947 (2023; Zbl 1524.65688) Full Text: DOI
Boussoufa, O.; Daikh, Y.; Yakoubi, D. Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure. I. (English) Zbl 1514.65140 Calcolo 60, No. 2, Paper No. 25, 27 p. (2023). MSC: 65M70 65M06 65N35 65M12 65M15 35B45 35A01 35A02 76D07 76M22 76M20 PDFBibTeX XMLCite \textit{O. Boussoufa} et al., Calcolo 60, No. 2, Paper No. 25, 27 p. (2023; Zbl 1514.65140) Full Text: DOI
Abdulla, Ugur G.; Seif, Saleheh Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness. (English) Zbl 07680912 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 1-22 (2023). MSC: 65-XX 35R30 35Q93 49M25 49M05 65M06 65N21 PDFBibTeX XMLCite \textit{U. G. Abdulla} and \textit{S. Seif}, Contemp. Math. 784, 1--22 (2023; Zbl 07680912) Full Text: DOI arXiv
Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. Manifold approximations via transported subspaces: model reduction for transport-dominated problems. (English) Zbl 1514.78017 SIAM J. Sci. Comput. 45, No. 1, A170-A199 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 78M34 78M12 78M20 65M08 65M06 65N08 65D05 41A46 35F20 PDFBibTeX XMLCite \textit{D. Rim} et al., SIAM J. Sci. Comput. 45, No. 1, A170--A199 (2023; Zbl 1514.78017) Full Text: DOI arXiv
Li, Xiaowu; Tang, Yuelong Interpolated coefficient characteristic finite element method for semilinear convection-diffusion optimal control problems. (English) Zbl 1509.65100 Results Appl. Math. 17, Article ID 100357, 10 p. (2023). MSC: 65M60 65M25 65M06 65N30 65D05 65H10 49M25 35K55 35J60 35J61 76R50 PDFBibTeX XMLCite \textit{X. Li} and \textit{Y. Tang}, Results Appl. Math. 17, Article ID 100357, 10 p. (2023; Zbl 1509.65100) Full Text: DOI
Coulombel, Jean-François; Faye, Grégory Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions. (English) Zbl 1509.65070 IMA J. Numer. Anal. 43, No. 1, 187-224 (2023). MSC: 65M06 65M12 15B05 35Q49 PDFBibTeX XMLCite \textit{J.-F. Coulombel} and \textit{G. Faye}, IMA J. Numer. Anal. 43, No. 1, 187--224 (2023; Zbl 1509.65070) Full Text: DOI arXiv
Srivastava, Nikhil; Singh, Vineet Kumar L3 approximation of Caputo derivative and its application to time-fractional wave equation. I. (English) Zbl 07628007 Math. Comput. Simul. 205, 532-557 (2023). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{N. Srivastava} and \textit{V. K. Singh}, Math. Comput. Simul. 205, 532--557 (2023; Zbl 07628007) Full Text: DOI
Albuquerque-Ferreira, Augusto César; Ureña, Miguel; Ramos, Higinio A technique for generating adapted discretizations to solve partial differential equations with the generalized finite difference method. (English) Zbl 07812736 Math. Methods Appl. Sci. 45, No. 17, 10598-10613 (2022). MSC: 65M06 65M50 PDFBibTeX XMLCite \textit{A. C. Albuquerque-Ferreira} et al., Math. Methods Appl. Sci. 45, No. 17, 10598--10613 (2022; Zbl 07812736) Full Text: DOI OA License
Yang, Caijie; Sun, Tongjun Crank-Nicolson finite difference schemes for parabolic optimal Dirichlet boundary control problems. (English) Zbl 07775928 Math. Methods Appl. Sci. 45, No. 12, 7346-7363 (2022). MSC: 65M38 65M06 65N38 65M12 65M15 49K20 49M05 49M41 49M25 PDFBibTeX XMLCite \textit{C. Yang} and \textit{T. Sun}, Math. Methods Appl. Sci. 45, No. 12, 7346--7363 (2022; Zbl 07775928) Full Text: DOI
Baňas, Ľubomír; Dawid, Herbert; Randrianasolo, Tsiry Avisoa; Storn, Johannes; Wen, Xingang Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics. (English) Zbl 1502.65111 J. Sci. Comput. 92, No. 2, Paper No. 54, 35 p. (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M70 65M06 65L06 65N50 65N30 65N35 65N06 65K10 49L25 91A15 35Q91 PDFBibTeX XMLCite \textit{Ľ. Baňas} et al., J. Sci. Comput. 92, No. 2, Paper No. 54, 35 p. (2022; Zbl 1502.65111) Full Text: DOI
Domschke, Pia; Kolb, Oliver; Lang, Jens Fast and reliable transient simulation and continuous optimization of large-scale gas networks. (English) Zbl 1502.65059 Math. Methods Oper. Res. 95, No. 3, 475-501 (2022). MSC: 65M06 65N06 65M15 76N15 35Q31 49M25 49M41 90C20 90C46 05C82 93C20 35Q93 PDFBibTeX XMLCite \textit{P. Domschke} et al., Math. Methods Oper. Res. 95, No. 3, 475--501 (2022; Zbl 1502.65059) Full Text: DOI arXiv
Du, Yu; Zhang, Jiwei Numerical solution of a one-dimensional nonlocal Helmholtz equation by perfectly matched layers. (English) Zbl 1499.49083 Numer. Math., Theory Methods Appl. 15, No. 2, 387-414 (2022). MSC: 49M25 65N22 65N06 65R20 82C21 46N40 45A05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{J. Zhang}, Numer. Math., Theory Methods Appl. 15, No. 2, 387--414 (2022; Zbl 1499.49083) Full Text: DOI arXiv
Kloeden, Peter E. Attractors of deterministic and random lattice difference equations. (English) Zbl 1498.37121 Stoch. Dyn. 22, No. 2, Article ID 2240006, 16 p. (2022). MSC: 37L60 37L30 39A60 39A30 92D40 PDFBibTeX XMLCite \textit{P. E. Kloeden}, Stoch. Dyn. 22, No. 2, Article ID 2240006, 16 p. (2022; Zbl 1498.37121) Full Text: DOI
Sweilam, Nasser H.; Assiri, Taghreed A.; Hasan, Muner M. Abou Optimal control problem of variable-order delay system of advertising procedure: numerical treatment. (English) Zbl 1487.49060 Discrete Contin. Dyn. Syst., Ser. S 15, No. 5, 1247-1268 (2022). MSC: 49S05 26A33 49M25 65L03 91B16 91B26 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 5, 1247--1268 (2022; Zbl 1487.49060) Full Text: DOI
Gupta, Vijay; Anjali Higher order Kantorovich operators based on inverse Pólya-Eggenberger distribution. (English) Zbl 1477.65172 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 31, 15 p. (2022). MSC: 65N06 62E17 41A30 41A36 41A25 PDFBibTeX XMLCite \textit{V. Gupta} and \textit{Anjali}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 31, 15 p. (2022; Zbl 1477.65172) Full Text: DOI
Bertucci, Charles; Cecchin, Alekos Mean field games master equations: from discrete to continuous state space. arXiv:2207.03191 Preprint, arXiv:2207.03191 [math.OC] (2022). MSC: 35Q89 49M25 49N80 60J28 65M06 65M75 91A16 BibTeX Cite \textit{C. Bertucci} and \textit{A. Cecchin}, ``Mean field games master equations: from discrete to continuous state space'', Preprint, arXiv:2207.03191 [math.OC] (2022) Full Text: arXiv OA License
Faĭruzov, Makhmut Èrnstovich; Lubyshev, Fedor Vladimirovich On a method for approximate solution of a mixed boundary value problem for an elliptic equation. (Russian. English summary) Zbl 1524.65710 Zh. Sredn. Mat. Obshch. 23, No. 1, 58-71 (2021). MSC: 65N06 65N12 PDFBibTeX XMLCite \textit{M. È. Faĭruzov} and \textit{F. V. Lubyshev}, Zh. Sredn. Mat. Obshch. 23, No. 1, 58--71 (2021; Zbl 1524.65710) Full Text: DOI MNR
Yaseen, Muhammad; Abbas, Muhammad; Riaz, Muhammad Bilal A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation. (English) Zbl 1494.65073 Adv. Difference Equ. 2021, Paper No. 210, 19 p. (2021). MSC: 65M06 35R11 65M70 65M12 26A33 PDFBibTeX XMLCite \textit{M. Yaseen} et al., Adv. Difference Equ. 2021, Paper No. 210, 19 p. (2021; Zbl 1494.65073) Full Text: DOI
An, Yajun Time-space domain dispersion reduction schemes in the uniform norm for the 2D acoustic wave equation. (English) Zbl 07515848 J. Comput. Phys. 445, Article ID 110589, 18 p. (2021). MSC: 65Mxx 41Axx 65Nxx PDFBibTeX XMLCite \textit{Y. An}, J. Comput. Phys. 445, Article ID 110589, 18 p. (2021; Zbl 07515848) Full Text: DOI
Soori, Z.; Aminataei, A. Two new approximations to Caputo-Fabrizio fractional equation on non-uniform meshes and its applications. (English) Zbl 1522.65155 Iran. J. Numer. Anal. Optim. 11, No. 2, 365-383 (2021). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Z. Soori} and \textit{A. Aminataei}, Iran. J. Numer. Anal. Optim. 11, No. 2, 365--383 (2021; Zbl 1522.65155) Full Text: DOI
Coulombel, Jean-François The Leray-Gårding method for finite difference schemes. II. Smooth crossing modes. (English) Zbl 1481.65125 North-West. Eur. J. Math. 7, 151-184 (2021). MSC: 65M06 65M12 35L03 35L04 PDFBibTeX XMLCite \textit{J.-F. Coulombel}, North-West. Eur. J. Math. 7, 151--184 (2021; Zbl 1481.65125) Full Text: arXiv Link
Verma, N.; Kumar, S. Lowest order virtual element approximations for transient Stokes problem on polygonal meshes. (English) Zbl 1479.65011 Calcolo 58, No. 4, Paper No. 48, 35 p. (2021). MSC: 65M60 65M06 65N30 76D07 65N15 65N12 35Q35 PDFBibTeX XMLCite \textit{N. Verma} and \textit{S. Kumar}, Calcolo 58, No. 4, Paper No. 48, 35 p. (2021; Zbl 1479.65011) Full Text: DOI
Chambolle, Antonin; Pock, Thomas Learning consistent discretizations of the total variation. (English) Zbl 1477.49047 SIAM J. Imaging Sci. 14, No. 2, 778-813 (2021). MSC: 49M25 35J87 35R35 94A08 65D18 65N06 65N30 65N50 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{T. Pock}, SIAM J. Imaging Sci. 14, No. 2, 778--813 (2021; Zbl 1477.49047) Full Text: DOI
Madhusudhan, R.; Nargund, Achala L.; Sathyanarayana, S. B. The effect of magnetic field on compressible boundary layer by homotopy analysis method. (English) Zbl 1488.76120 J. Indian Math. Soc., New Ser. 88, No. 1-2, 125-145 (2021). MSC: 76N20 76W05 PDFBibTeX XMLCite \textit{R. Madhusudhan} et al., J. Indian Math. Soc., New Ser. 88, No. 1--2, 125--145 (2021; Zbl 1488.76120) Full Text: DOI
Chambolle, Antonin; Pock, Thomas Approximating the total variation with finite differences or finite elements. (English) Zbl 1491.65046 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 383-417 (2021). MSC: 65K10 49M25 65N06 65N30 94A08 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{T. Pock}, Handb. Numer. Anal. 22, 383--417 (2021; Zbl 1491.65046) Full Text: DOI HAL
Cao, Junying; Zhang, Xumei; Yang, Xun; Wang, Ziqiang A new high order finite difference/spectral approximations to the time fractional diffusion equations. (Chinese. English summary) Zbl 1488.65496 Math. Pract. Theory 51, No. 5, 188-195 (2021). MSC: 65M70 26A33 35R11 65M12 65M06 65N35 PDFBibTeX XMLCite \textit{J. Cao} et al., Math. Pract. Theory 51, No. 5, 188--195 (2021; Zbl 1488.65496)
Gatica, Gabriel N.; Munar, Mauricio; Sequeira, Filander A. A mixed virtual element method for the Boussinesq problem on polygonal meshes. (English) Zbl 1488.65613 J. Comput. Math. 39, No. 3, 392-427 (2021). MSC: 65N30 65N12 65N15 76D07 76M20 35Q35 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., J. Comput. Math. 39, No. 3, 392--427 (2021; Zbl 1488.65613) Full Text: DOI
Coope, Ian D.; Tappenden, Rachael Gradient and diagonal Hessian approximations using quadratic interpolation models and aligned regular bases. (English) Zbl 1487.65025 Numer. Algorithms 88, No. 2, 767-791 (2021). MSC: 65D25 65K05 90C30 90C56 PDFBibTeX XMLCite \textit{I. D. Coope} and \textit{R. Tappenden}, Numer. Algorithms 88, No. 2, 767--791 (2021; Zbl 1487.65025) Full Text: DOI
Hu, Jianbing Comments on: “New approximations for solving the Caputo-type fractional partial differential equations”. (English) Zbl 1481.65132 Appl. Math. Modelling 99, 804-805 (2021). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{J. Hu}, Appl. Math. Modelling 99, 804--805 (2021; Zbl 1481.65132) Full Text: DOI
Zhang, Lei; Yang, Rui; Zhang, Li; Wang, Lisha A conservative Crank-Nicolson Fourier spectral method for the space fractional Schrödinger equation with wave operators. (English) Zbl 1498.65180 J. Funct. Spaces 2021, Article ID 5137845, 10 p. (2021). MSC: 65M70 65M06 65N35 65M60 65N30 26A33 35R11 35Q55 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Funct. Spaces 2021, Article ID 5137845, 10 p. (2021; Zbl 1498.65180) Full Text: DOI
Lubyshev, F. V.; Manapova, A. R. Approximations to problems of optimal control of leading coefficients of elliptic equations in nondivergence form with an unbounded nonlinearity in the coefficients. (English. Russian original) Zbl 1468.49031 Differ. Equ. 57, No. 6, 780-804 (2021); translation from Differ. Uravn. 57, No. 6, 796-820 (2021). MSC: 49M25 65N06 90C30 49J20 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, Differ. Equ. 57, No. 6, 780--804 (2021; Zbl 1468.49031); translation from Differ. Uravn. 57, No. 6, 796--820 (2021) Full Text: DOI
Cecchin, Alekos Finite state \(N\)-agent and mean field control problems. (English) Zbl 1468.35035 ESAIM, Control Optim. Calc. Var. 27, Paper No. 31, 33 p. (2021). MSC: 35F21 35B65 35D40 49L25 49M25 60F15 60J27 91A12 PDFBibTeX XMLCite \textit{A. Cecchin}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 31, 33 p. (2021; Zbl 1468.35035) Full Text: DOI arXiv
Foss, Frederick J. II; Glowinski, Roland When Bingham meets Bratu: mathematical and computational investigations. (English) Zbl 1481.65216 ESAIM, Control Optim. Calc. Var. 27, Paper No. 27, 42 p. (2021). MSC: 65N25 65M60 65M06 65N30 35P30 49M15 49M41 65K15 65H10 76A05 74C10 76M10 74S05 PDFBibTeX XMLCite \textit{F. J. Foss II} and \textit{R. Glowinski}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 27, 42 p. (2021; Zbl 1481.65216) Full Text: DOI
Gerbi, Stéphane; Kassem, Chiraz; Mortada, Amina; Wehbe, Ali Numerical study of the stabilization of 1D locally coupled wave equations. (English) Zbl 1477.65133 Z. Anal. Anwend. 40, No. 2, 131-151 (2021). MSC: 65M06 65N06 65M12 35L10 35B40 49M25 93D15 93-08 PDFBibTeX XMLCite \textit{S. Gerbi} et al., Z. Anal. Anwend. 40, No. 2, 131--151 (2021; Zbl 1477.65133) Full Text: DOI arXiv
Li, Yetong; Zhao, Tengjin; Zhang, Zhiyue; Wang, Tongke The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations. (English) Zbl 1477.65176 J. Sci. Comput. 88, No. 1, Paper No. 1, 39 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65M06 35K65 65M08 41A60 68W30 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Sci. Comput. 88, No. 1, Paper No. 1, 39 p. (2021; Zbl 1477.65176) Full Text: DOI
Jentzen, Arnulf; Kurniawan, Ryan Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. (English) Zbl 1482.65143 Found. Comput. Math. 21, No. 2, 445-536 (2021). MSC: 65M06 65M12 35R60 60H15 PDFBibTeX XMLCite \textit{A. Jentzen} and \textit{R. Kurniawan}, Found. Comput. Math. 21, No. 2, 445--536 (2021; Zbl 1482.65143) Full Text: DOI arXiv
Bachmayr, Markus; Eisenmann, Henrik; Kieri, Emil; Uschmajew, André Existence of dynamical low-rank approximations to parabolic problems. (English) Zbl 1482.65136 Math. Comput. 90, No. 330, 1799-1830 (2021). MSC: 65M06 65F55 65L05 35K15 35R01 15A18 15A69 35A01 35A02 35D30 PDFBibTeX XMLCite \textit{M. Bachmayr} et al., Math. Comput. 90, No. 330, 1799--1830 (2021; Zbl 1482.65136) Full Text: DOI arXiv
Bao, Xuelian; Zhang, Hui Numerical approximations and error analysis of the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions. (English) Zbl 1475.65101 J. Sci. Comput. 87, No. 3, Paper No. 72, 32 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65N06 65M12 65M15 35Q35 PDFBibTeX XMLCite \textit{X. Bao} and \textit{H. Zhang}, J. Sci. Comput. 87, No. 3, Paper No. 72, 32 p. (2021; Zbl 1475.65101) Full Text: DOI arXiv
Jin, Bangti; Zhou, Zhi Numerical estimation of a diffusion coefficient in subdiffusion. (English) Zbl 1468.65127 SIAM J. Control Optim. 59, No. 2, 1466-1496 (2021). MSC: 65M32 65M60 65M06 65M12 65M15 65J20 65K10 49M25 35R30 35R11 PDFBibTeX XMLCite \textit{B. Jin} and \textit{Z. Zhou}, SIAM J. Control Optim. 59, No. 2, 1466--1496 (2021; Zbl 1468.65127) Full Text: DOI arXiv
Albuquerque-Ferreira, A. C.; Ureña, Miguel; Ramos, Higinio The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars. (English) Zbl 1464.74362 Eng. Anal. Bound. Elem. 127, 29-39 (2021). MSC: 74S20 65N06 PDFBibTeX XMLCite \textit{A. C. Albuquerque-Ferreira} et al., Eng. Anal. Bound. Elem. 127, 29--39 (2021; Zbl 1464.74362) Full Text: DOI
Karakoc, Seydi Battal Gazi; Omrani, Khaled; Sucu, Derya Numerical investigations of shallow water waves via generalized equal width (GEW) equation. (English) Zbl 1460.65123 Appl. Numer. Math. 162, 249-264 (2021). MSC: 65M60 35Q35 65M06 65D07 PDFBibTeX XMLCite \textit{S. B. G. Karakoc} et al., Appl. Numer. Math. 162, 249--264 (2021; Zbl 1460.65123) Full Text: DOI
Biala, T. A.; Khaliq, Abdul Q. M. Predictor-corrector schemes for nonlinear space-fractional parabolic PDEs with time-dependent boundary conditions. (English) Zbl 1460.65111 Appl. Numer. Math. 160, 1-22 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M06 65N06 65D32 65L10 41A21 35R11 65M15 PDFBibTeX XMLCite \textit{T. A. Biala} and \textit{A. Q. M. Khaliq}, Appl. Numer. Math. 160, 1--22 (2021; Zbl 1460.65111) Full Text: DOI
Chu, Kwunlun; Leung, Shingyu A level set method for the Dirichlet \(k\)-partition problem. (English) Zbl 1457.65044 J. Sci. Comput. 86, No. 1, Paper No. 11, 32 p. (2021). MSC: 65M06 65M12 65N25 65K10 49J20 49M25 35K05 PDFBibTeX XMLCite \textit{K. Chu} and \textit{S. Leung}, J. Sci. Comput. 86, No. 1, Paper No. 11, 32 p. (2021; Zbl 1457.65044) Full Text: DOI
Ackleh, Azmy S.; Miller, Robert L. A multi-region nonlinear size-structured population model with coagulation and vertical effects. (English) Zbl 07732663 Adv. Pure Appl. Math. 12, No. 3, 71-95 (2021). MSC: 92D25 65M06 35L60 45K05 PDFBibTeX XMLCite \textit{A. S. Ackleh} and \textit{R. L. Miller}, Adv. Pure Appl. Math. 12, No. 3, 71--95 (2020; Zbl 07732663) Full Text: DOI
Hindenlang, Florian J.; Gassner, Gregor J.; Kopriva, David A. Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations. (English) Zbl 1484.65256 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 3-19 (2020). MSC: 65M70 65M06 65L06 65N35 65M60 65M12 65D32 76N10 76M22 35Q31 PDFBibTeX XMLCite \textit{F. J. Hindenlang} et al., Lect. Notes Comput. Sci. Eng. 134, 3--19 (2020; Zbl 1484.65256) Full Text: DOI arXiv
Chen, Xiaotong; Song, Xiaoliang; Chen, Zixuan; Yu, Bo A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems. (English) Zbl 1475.65165 Comput. Appl. Math. 39, No. 4, Paper No. 331, 31 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N06 65N30 65K10 65N50 65N12 49M41 49M25 49J20 65F10 PDFBibTeX XMLCite \textit{X. Chen} et al., Comput. Appl. Math. 39, No. 4, Paper No. 331, 31 p. (2020; Zbl 1475.65165) Full Text: DOI arXiv
Puźniakowska-Gałuch, Elżbieta The method of finite differences for nonlinear functional differential equations of the first order. (English) Zbl 1468.65107 Georgian Math. J. 27, No. 4, 605-616 (2020). MSC: 65M06 65N06 65M12 35F25 35A01 35A02 35R10 PDFBibTeX XMLCite \textit{E. Puźniakowska-Gałuch}, Georgian Math. J. 27, No. 4, 605--616 (2020; Zbl 1468.65107) Full Text: DOI
Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida Quantitative analysis of finite-difference approximations of free-discontinuity problems. (English) Zbl 1457.65039 Interfaces Free Bound. 22, No. 3, 317-381 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 49M25 49J45 68U10 94A08 PDFBibTeX XMLCite \textit{A. Bach} et al., Interfaces Free Bound. 22, No. 3, 317--381 (2020; Zbl 1457.65039) Full Text: DOI arXiv
Dohnal, Tomáš; Rudolf, Daniel NLS approximation for wavepackets in periodic cubically nonlinear wave problems in \(\mathbb{R}^d\). (English) Zbl 1459.35342 Appl. Anal. 99, No. 10, 1685-1723 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q60 35L71 41A60 35C08 65N25 65N06 65L06 65T50 PDFBibTeX XMLCite \textit{T. Dohnal} and \textit{D. Rudolf}, Appl. Anal. 99, No. 10, 1685--1723 (2020; Zbl 1459.35342) Full Text: DOI arXiv
Crismale, Vito; Scilla, Giovanni; Solombrino, Francesco A derivation of Griffith functionals from discrete finite-difference models. (English) Zbl 1455.49020 Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 193, 45 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49M25 49J45 74R10 65M06 PDFBibTeX XMLCite \textit{V. Crismale} et al., Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 193, 45 p. (2020; Zbl 1455.49020) Full Text: DOI arXiv
Bochkov, Daniil; Gibou, Frederic PDE-based multidimensional extrapolation of scalar fields over interfaces with kinks and high curvatures. (English) Zbl 1454.65056 SIAM J. Sci. Comput. 42, No. 4, A2344-A2359 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 49M25 65B99 35C08 35R35 PDFBibTeX XMLCite \textit{D. Bochkov} and \textit{F. Gibou}, SIAM J. Sci. Comput. 42, No. 4, A2344--A2359 (2020; Zbl 1454.65056) Full Text: DOI arXiv
Hasan, Mohammad Tanzil; Xu, Chuanju The stability and convergence of time-stepping/spectral methods with asymptotic behaviour for the Rosenau-Burgers equation. (English) Zbl 1447.65023 Appl. Anal. 99, No. 12, 2013-2025 (2020). MSC: 65M06 65N35 65M12 35B40 PDFBibTeX XMLCite \textit{M. T. Hasan} and \textit{C. Xu}, Appl. Anal. 99, No. 12, 2013--2025 (2020; Zbl 1447.65023) Full Text: DOI
Amosov, Andrey A.; Krymov, Nikita E. Discrete and asymptotic approximations for one stationary radiative-conductive heat transfer problem. (English) Zbl 1446.35202 Russ. J. Numer. Anal. Math. Model. 35, No. 3, 127-141 (2020). MSC: 35Q79 80A21 80A19 80M20 65N06 65H10 35B40 74F05 PDFBibTeX XMLCite \textit{A. A. Amosov} and \textit{N. E. Krymov}, Russ. J. Numer. Anal. Math. Model. 35, No. 3, 127--141 (2020; Zbl 1446.35202) Full Text: DOI
Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia Convergence of adaptive filtered schemes for first order evolutionary Hamilton-Jacobi equations. (English) Zbl 1453.65214 Numer. Math. 145, No. 2, 271-311 (2020). MSC: 65M06 35F21 49L99 49M25 35D40 PDFBibTeX XMLCite \textit{M. Falcone} et al., Numer. Math. 145, No. 2, 271--311 (2020; Zbl 1453.65214) Full Text: DOI arXiv
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. (English) Zbl 1444.49013 J. Sci. Comput. 83, No. 3, Paper No. 55, 35 p. (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49N10 49M25 35J20 65N06 90C20 PDFBibTeX XMLCite \textit{M. Strazzullo} et al., J. Sci. Comput. 83, No. 3, Paper No. 55, 35 p. (2020; Zbl 1444.49013) Full Text: DOI arXiv
Mustapha, Kassem An \(L1\) approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes. (English) Zbl 1434.65129 SIAM J. Numer. Anal. 58, No. 2, 1319-1338 (2020). MSC: 65M06 35B65 65M12 65M15 PDFBibTeX XMLCite \textit{K. Mustapha}, SIAM J. Numer. Anal. 58, No. 2, 1319--1338 (2020; Zbl 1434.65129) Full Text: DOI arXiv
Mascia, C.; Moschetta, P.; Simeoni, C. Phase transitions of biological phenotypes by means of a prototypical PDE model. (English) Zbl 1462.35416 Commun. Appl. Ind. Math. 11, No. 1, 1-17 (2020). Reviewer: Johannes Lankeit (Hannover) MSC: 35Q92 92C37 35C07 35K57 34D20 34C37 65M06 PDFBibTeX XMLCite \textit{C. Mascia} et al., Commun. Appl. Ind. Math. 11, No. 1, 1--17 (2020; Zbl 1462.35416) Full Text: DOI
Gracia, J. L.; O’Riordan, E. Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data. (English) Zbl 1432.35011 J. Comput. Appl. Math. 370, Article ID 112638, 17 p. (2020). MSC: 35B25 35K20 35K57 65M06 65M12 65M15 65M70 35R05 PDFBibTeX XMLCite \textit{J. L. Gracia} and \textit{E. O'Riordan}, J. Comput. Appl. Math. 370, Article ID 112638, 17 p. (2020; Zbl 1432.35011) Full Text: DOI arXiv
Lubyshev, F. V.; Manapova, A. R. Approximation of optimal control problems for the coefficients of elliptic convection-diffusion equations with an imperfect contact type conjugation conditions. (Russian. English summary) Zbl 1524.65716 Zh. Sredn. Mat. Obshch. 21, No. 2, 187-214 (2019). Reviewer: Artyom Andronov (Saransk) MSC: 65N06 65N12 49M25 76R50 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, Zh. Sredn. Mat. Obshch. 21, No. 2, 187--214 (2019; Zbl 1524.65716) Full Text: DOI Link
Xie, Xueyun; Zhu, Liyong A fast compact exponential time differencing Runge-Kutta method for time-dependent advection-diffusion-reaction equations. (English) Zbl 1468.65115 East Asian J. Appl. Math. 9, No. 3, 522-537 (2019). MSC: 65M06 65M22 65L06 65T50 65M12 65Y20 PDFBibTeX XMLCite \textit{X. Xie} and \textit{L. Zhu}, East Asian J. Appl. Math. 9, No. 3, 522--537 (2019; Zbl 1468.65115) Full Text: DOI
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan; Yang, Jiang Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions. (English) Zbl 1466.65222 IMA J. Numer. Anal. 39, No. 2, 607-625 (2019). MSC: 65N80 65N35 65N06 PDFBibTeX XMLCite \textit{Q. Du} et al., IMA J. Numer. Anal. 39, No. 2, 607--625 (2019; Zbl 1466.65222) Full Text: DOI
Cao, Yining; Jia, Chuck; Temam, Roger Time discretization of a quasi-variational inequality related to the humid atmosphere. (English) Zbl 1466.65058 Pure Appl. Funct. Anal. 4, No. 4, 727-764 (2019). MSC: 65M06 35K86 49J40 49M25 76D03 76T30 86A10 PDFBibTeX XMLCite \textit{Y. Cao} et al., Pure Appl. Funct. Anal. 4, No. 4, 727--764 (2019; Zbl 1466.65058) Full Text: Link
Syafwan, H.; Sutra, Y. Y.; Alkhairi, R.; Syafwan, M.; Ramdhan, W.; Yusda, R. A. A mathematical proof of explicit formulas for the coefficients of finite difference approximations of second derivatives. (English) Zbl 1454.65051 Malays. J. Math. Sci. 13, No. 3, 359-371 (2019). MSC: 65L12 41A58 PDFBibTeX XMLCite \textit{H. Syafwan} et al., Malays. J. Math. Sci. 13, No. 3, 359--371 (2019; Zbl 1454.65051) Full Text: Link
Schäfer Aguilar, Paloma; Schmitt, Johann Michael; Ulbrich, Stefan; Moos, Michael On the numerical discretization of optimal control problems for conservation laws. (English) Zbl 1451.49033 Control Cybern. 48, No. 2, 345-375 (2019). MSC: 49M25 49Q22 65Q10 PDFBibTeX XMLCite \textit{P. Schäfer Aguilar} et al., Control Cybern. 48, No. 2, 345--375 (2019; Zbl 1451.49033)
Tsukerman, Igor; Mansha, Shampy; Chong, Yi Dong; Markel, Vadim A. Trefftz approximations in complex media: accuracy and applications. (English) Zbl 1442.65408 Comput. Math. Appl. 77, No. 6, 1770-1785 (2019). MSC: 65N35 74J20 78A45 PDFBibTeX XMLCite \textit{I. Tsukerman} et al., Comput. Math. Appl. 77, No. 6, 1770--1785 (2019; Zbl 1442.65408) Full Text: DOI arXiv
Gerdt, Vladimir P.; Robertz, Daniel Algorithmic approach to strong consistency analysis of finite difference approximations to PDE systems. (English) Zbl 1467.35020 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 163-170 (2019). MSC: 35A35 35F50 35Q30 68W30 PDFBibTeX XMLCite \textit{V. P. Gerdt} and \textit{D. Robertz}, in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 163--170 (2019; Zbl 1467.35020) Full Text: DOI arXiv
Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan Total variation diminishing schemes in optimal control of scalar conservation laws. (English) Zbl 1483.49042 IMA J. Numer. Anal. 39, No. 1, 105-140 (2019). MSC: 49M25 65M06 PDFBibTeX XMLCite \textit{S. Hajian} et al., IMA J. Numer. Anal. 39, No. 1, 105--140 (2019; Zbl 1483.49042) Full Text: DOI
Alahyane, Mohamed; Hakim, Abdelilah; Laghrib, Amine; Raghay, Said A fast approach of nonparametric elastic image registration problem. (English) Zbl 1434.65161 Math. Methods Appl. Sci. 42, No. 18, 7059-7075 (2019). MSC: 65M32 65N06 49M25 65F10 65K10 65D18 PDFBibTeX XMLCite \textit{M. Alahyane} et al., Math. Methods Appl. Sci. 42, No. 18, 7059--7075 (2019; Zbl 1434.65161) Full Text: DOI
Egger, Herbert; Kugler, Thomas Uniform exponential stability of Galerkin approximations for a damped wave system. (English) Zbl 1433.65289 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 107-129 (2019). MSC: 65N30 65N12 65N15 65M06 65M12 65M15 35L02 76N15 PDFBibTeX XMLCite \textit{H. Egger} and \textit{T. Kugler}, Lect. Notes Comput. Sci. Eng. 128, 107--129 (2019; Zbl 1433.65289) Full Text: DOI arXiv
Lapin, Alexander; Zhang, Shuhua; Lapin, Sergey Numerical solution of a parabolic optimal control problem arising in economics and management. (English) Zbl 1428.49007 Appl. Math. Comput. 361, 715-729 (2019). MSC: 49J20 49M25 91B02 35Q90 90C26 65M06 PDFBibTeX XMLCite \textit{A. Lapin} et al., Appl. Math. Comput. 361, 715--729 (2019; Zbl 1428.49007) Full Text: DOI
Capuzzo Dolcetta, Italo On the weak maximum principle for degenerate elliptic operators. (English) Zbl 1428.35061 Alabau-Boussouira, Fatiha (ed.) et al., Trends in control theory and partial differential equations. Cham: Springer. Springer INdAM Ser. 32, 89-104 (2019). MSC: 35B50 35J70 35J60 PDFBibTeX XMLCite \textit{I. Capuzzo Dolcetta}, Springer INdAM Ser. 32, 89--104 (2019; Zbl 1428.35061) Full Text: DOI
Manapova, Aigul On convergence of difference approximations of extremum problems described by elliptic equations with unbounded nonlinearity. (English) Zbl 1434.65217 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 346-353 (2019). MSC: 65N06 65N12 49M25 PDFBibTeX XMLCite \textit{A. Manapova}, Lect. Notes Comput. Sci. 11386, 346--353 (2019; Zbl 1434.65217) Full Text: DOI
Liu, Zhengguang; Li, Xiaoli Efficient modified techniques of invariant energy quadratization approach for gradient flows. (English) Zbl 1472.65100 Appl. Math. Lett. 98, 206-214 (2019). MSC: 65M06 35G31 49M25 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{X. Li}, Appl. Math. Lett. 98, 206--214 (2019; Zbl 1472.65100) Full Text: DOI
Laiu, M. Paul; Frank, Martin; Hauck, Cory D. A positive asymptotic-preserving scheme for linear kinetic transport equations. (English) Zbl 1447.65025 SIAM J. Sci. Comput. 41, No. 3, A1500-A1526 (2019). Reviewer: Yajuan Sun (Beijing) MSC: 65M06 35B09 35L40 41A60 65M70 82C70 82D75 35B40 35Q49 35P25 PDFBibTeX XMLCite \textit{M. P. Laiu} et al., SIAM J. Sci. Comput. 41, No. 3, A1500--A1526 (2019; Zbl 1447.65025) Full Text: DOI arXiv
Coulombel, Jean-François Transparent numerical boundary conditions for evolution equations: derivation and stability analysis. (English. French summary) Zbl 1422.65149 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 2, 259-327 (2019). MSC: 65M06 65M12 35L02 35K05 35Q41 PDFBibTeX XMLCite \textit{J.-F. Coulombel}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 2, 259--327 (2019; Zbl 1422.65149) Full Text: DOI arXiv
Jacobs, Matthew; Luo, Songting Asymptotic solutions for high frequency Helmholtz equations in anisotropic media with Hankel functions. (English) Zbl 1418.65155 J. Sci. Comput. 80, No. 2, 808-833 (2019). MSC: 65N06 41A60 PDFBibTeX XMLCite \textit{M. Jacobs} and \textit{S. Luo}, J. Sci. Comput. 80, No. 2, 808--833 (2019; Zbl 1418.65155) Full Text: DOI
Liu, Jun; Wang, Zhu Non-commutative discretize-then-optimize algorithms for elliptic PDE-constrained optimal control problems. (English) Zbl 1416.65172 J. Comput. Appl. Math. 362, 596-613 (2019). MSC: 65K10 49M25 49J20 49K20 65M06 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Z. Wang}, J. Comput. Appl. Math. 362, 596--613 (2019; Zbl 1416.65172) Full Text: DOI arXiv
Lapin, A.; Laitinen, Erkki Efficient iterative method for solving optimal control problem governed by diffusion equation with time fractional derivative. (English) Zbl 1416.65272 Lobachevskii J. Math. 40, No. 4, 479-488 (2019). MSC: 65M06 35R11 49M25 65M12 PDFBibTeX XMLCite \textit{A. Lapin} and \textit{E. Laitinen}, Lobachevskii J. Math. 40, No. 4, 479--488 (2019; Zbl 1416.65272) Full Text: DOI
Briceño-Arias, L.; Kalise, D.; Kobeissi, Z.; Laurière, M.; González, Á. Mateos; Silva, F. J. On the implementation of a primal-dual algorithm for second order time-dependent mean field games with local couplings. (English. French summary) Zbl 1418.49032 ESAIM, Proc. Surv. 65, 330-348 (2019). MSC: 49M25 91A23 65K10 65M06 PDFBibTeX XMLCite \textit{L. Briceño-Arias} et al., ESAIM, Proc. Surv. 65, 330--348 (2019; Zbl 1418.49032) Full Text: DOI arXiv
Sun, Chong; Sheng, Qin An exploration of a balanced up-downwind scheme for solving Heston volatility model equations on variable grids. (English) Zbl 1461.91358 Algorithms (Basel) 12, No. 2, Paper No. 30, 17 p. (2019). MSC: 91G60 91G20 39A60 65M06 65M12 PDFBibTeX XMLCite \textit{C. Sun} and \textit{Q. Sheng}, Algorithms (Basel) 12, No. 2, Paper No. 30, 17 p. (2019; Zbl 1461.91358) Full Text: DOI
Cengizci, Süleyman; Natesan, Srinivasan; Atay, Mehmet Tarık An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems. (English) Zbl 1411.65096 Turk. J. Math. 43, No. 1, 460-472 (2019). MSC: 65L10 65L11 PDFBibTeX XMLCite \textit{S. Cengizci} et al., Turk. J. Math. 43, No. 1, 460--472 (2019; Zbl 1411.65096) Full Text: DOI
Azimzadeh, Parsiad; Bayraktar, Erhan High order Bellman equations and weakly chained diagonally dominant tensors. (English) Zbl 1455.65100 SIAM J. Matrix Anal. Appl. 40, No. 1, 276-298 (2019). MSC: 65N22 65N06 15A69 49M25 PDFBibTeX XMLCite \textit{P. Azimzadeh} and \textit{E. Bayraktar}, SIAM J. Matrix Anal. Appl. 40, No. 1, 276--298 (2019; Zbl 1455.65100) Full Text: DOI arXiv
Hasan, Mohammad Tanzil; Xu, Chuanju Numerical approximation for MHD flows of generalized viscoelastic fluid. (English) Zbl 1407.76097 Appl. Anal. 98, No. 3, 581-599 (2019). MSC: 76M20 35Q35 76W05 76M22 35R11 PDFBibTeX XMLCite \textit{M. T. Hasan} and \textit{C. Xu}, Appl. Anal. 98, No. 3, 581--599 (2019; Zbl 1407.76097) Full Text: DOI
Shakya, Pratibha; Sinha, Rajen Kumar A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data. (English) Zbl 1462.65155 Appl. Numer. Math. 136, 23-45 (2019). MSC: 65M60 65M06 65N30 65M15 49M25 PDFBibTeX XMLCite \textit{P. Shakya} and \textit{R. K. Sinha}, Appl. Numer. Math. 136, 23--45 (2019; Zbl 1462.65155) Full Text: DOI
Pandey, P. K. A new computational algorithm for the solution of second order initial value problems in ordinary differential equations. (English) Zbl 1515.65202 Appl. Math. Nonlinear Sci. 3, No. 1, 167-174 (2018). MSC: 65L10 65L12 PDFBibTeX XMLCite \textit{P. K. Pandey}, Appl. Math. Nonlinear Sci. 3, No. 1, 167--174 (2018; Zbl 1515.65202) Full Text: DOI
Li, Shengyue; Zhou, Zhaojie Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation. (English) Zbl 1499.65568 Int. J. Comput. Math. 95, No. 6-7, 1308-1325 (2018). MSC: 65M70 65M06 65N35 49M25 26A33 35R11 49K20 PDFBibTeX XMLCite \textit{S. Li} and \textit{Z. Zhou}, Int. J. Comput. Math. 95, No. 6--7, 1308--1325 (2018; Zbl 1499.65568) Full Text: DOI
Manapova, Aigul On the differentiation of the functional in distributed optimization problems with imperfect contact. (English) Zbl 1499.49018 Filomat 32, No. 3, 775-783 (2018). MSC: 49J20 35J65 49M25 65N06 PDFBibTeX XMLCite \textit{A. Manapova}, Filomat 32, No. 3, 775--783 (2018; Zbl 1499.49018) Full Text: DOI
Sen Gupta, Jhuma; Sinha, Rajen Kumar A posteriori error analysis of semilinear parabolic interface problems using elliptic reconstruction. (English) Zbl 1466.65145 Appl. Anal. 97, No. 4, 552-570 (2018). MSC: 65M60 65M06 65N30 65M15 35K58 PDFBibTeX XMLCite \textit{J. Sen Gupta} and \textit{R. K. Sinha}, Appl. Anal. 97, No. 4, 552--570 (2018; Zbl 1466.65145) Full Text: DOI
Reisinger, C. The non-locality of Markov chain approximations to two-dimensional diffusions. (English) Zbl 1484.60087 Math. Comput. Simul. 143, 176-185 (2018). MSC: 60J60 39A60 60J10 65C40 PDFBibTeX XMLCite \textit{C. Reisinger}, Math. Comput. Simul. 143, 176--185 (2018; Zbl 1484.60087) Full Text: DOI arXiv
Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, V. T. Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data. (English) Zbl 1524.65480 Commun. Nonlinear Sci. Numer. Simul. 54, 233-247 (2018). MSC: 65M32 65L04 65L12 65L20 65M20 35G31 35B25 65M12 65K10 65M30 35B40 49M25 PDFBibTeX XMLCite \textit{D. V. Lukyanenko} et al., Commun. Nonlinear Sci. Numer. Simul. 54, 233--247 (2018; Zbl 1524.65480) Full Text: DOI
Delourme, Bérangère; Halpern, Laurence; Nguyen, Binh Thanh Optimized Schwarz methods for elliptic optimal control problems. (English) Zbl 1443.65422 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 215-222 (2018). MSC: 65N55 65N06 49M25 49J20 93C20 PDFBibTeX XMLCite \textit{B. Delourme} et al., Lect. Notes Comput. Sci. Eng. 125, 215--222 (2018; Zbl 1443.65422) Full Text: DOI
Haber, Aleksandar; Verhaegen, Michel Sparsity preserving optimal control of discretized PDE systems. (English) Zbl 1440.49038 Comput. Methods Appl. Mech. Eng. 335, 610-630 (2018). MSC: 49M25 65M06 65M60 PDFBibTeX XMLCite \textit{A. Haber} and \textit{M. Verhaegen}, Comput. Methods Appl. Mech. Eng. 335, 610--630 (2018; Zbl 1440.49038) Full Text: DOI arXiv