Gupta, Nishi; Maqbul, Md. Approximate solutions to hyperbolic partial differential equation with fractional differential and fractional integral forcing functions. (English) Zbl 1536.35355 Rend. Mat. Appl., VII. Ser. 45, No. 3, 201-227 (2024). MSC: 35R11 35A35 35B45 35D35 35L20 35L71 × Cite Format Result Cite Review PDF Full Text: Link
Hintermüller, Michael; Keil, Tobias Strong stationarity conditions for the optimal control of a Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1529.49011 Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024). MSC: 49K20 35Q30 49J40 35J87 90C46 76T10 × Cite Format Result Cite Review PDF Full Text: DOI
Borah, Jayanta; Devi, Darshana; Haloi, Rajib Strong solutions to quasi-linear differential equations with deviating arguments. (English) Zbl 1534.34071 J. Anal. 31, No. 4, 2703-2716 (2023). MSC: 34K30 34G20 35D35 35K58 35R10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Binjie; Xie, Xiaoping Convergence of a spatial semidiscretization for a backward semilinear stochastic parabolic equation. (English) Zbl 1517.49017 SIAM J. Control Optim. 61, No. 1, 47-71 (2023). Reviewer: Latifa Debbi (M’Sila) MSC: 49M25 65C30 60H35 35K58 35R60 60J65 49N10 49J55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chapko, R.; Johansson, B. T. Calculating heat and wave propagation from the lateral Cauchy data. (English) Zbl 1501.65055 Ukr. Math. J. 74, No. 2, 314-326 (2022) and Ukr. Mat. Zh. 74, No. 2, 274-285 (2022). MSC: 65M32 65M30 65M06 65N38 65N06 65N80 65F22 35K05 35J15 33C45 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Glazyrina, L. L.; Glazyrina, O. V.; Pavlova, M. F. On the solvability in the class of nonnegative functions of a nonlinear parabolic equation with double degeneration and a nonlocal spatial operator. (English) Zbl 1497.35308 Lobachevskii J. Math. 43, No. 4, 959-969 (2022). MSC: 35K65 35D30 35K20 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Gnowille, Kambire Diopina; Nachid, H.; Jacques, Ntakpe J. The Euler method in the blow-up numerical solutions for a reaction-diffusion problems with boundary conditions. (English) Zbl 07564684 J. Ramanujan Soc. Math. Math. Sci. 9, No. 2, 109-130 (2022). MSC: 65-XX 35B40 35B50 35K60 65M06 × Cite Format Result Cite Review PDF Full Text: Link
Modeste, Camara Gninlfan; Koffi, N’Guessan; Adama, Coulibaly; Augustin, Toure Kidjegbo Numerical quenching for one-dimensional \(p\)-Laplacian with singular boundary flux. (English) Zbl 07498826 J. Adv. Math. Stud. 15, No. 1, 22-34 (2022). MSC: 65Mxx 34B15 35K55 35K65 65M06 × Cite Format Result Cite Review PDF Full Text: Link
Kovtunenko, Victor A. Poroelastic medium with non-penetrating crack driven by hydraulic fracture: variational inequality and its semidiscretization. (English) Zbl 1483.74028 J. Comput. Appl. Math. 405, Article ID 113953, 12 p. (2022). MSC: 74F10 76S05 74R20 49J40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Liu, Yuqing; Li, Xianyi Dynamics of a discrete predator-prey model with Holling-II functional response. (English) Zbl 1479.39023 Int. J. Biomath. 14, No. 8, Article ID 2150068, 20 p. (2021). MSC: 39A60 37N25 39A28 39A30 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Maqbul, Md.; Gupta, Nishi Approximate solutions to Euler-Bernoulli beam type equation. (English) Zbl 1501.65052 Mediterr. J. Math. 18, No. 5, Paper No. 196, 17 p. (2021). MSC: 65M20 65M15 35D35 35A01 35A02 35A35 74K10 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Casabán, María Consuelo; Company, Rafael; Jódar, Lucas Numerical solutions of random mean square Fisher-KPP models with advection. (English) Zbl 1452.35267 Math. Methods Appl. Sci. 43, No. 14, 8015-8031 (2020). MSC: 35R60 60H15 60H35 65F60 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
El Bahja, Hamid; El Hachimi, Abderrahmane; Alami Idrissi, Ali Semidiscretization for a doubly nonlinear parabolic equation related to the \({p(x)}\)-Laplacian. (English) Zbl 1442.65158 Int. J. Differ. Equ. 2019, Article ID 6107841, 8 p. (2019). MSC: 65M06 35K55 35B35 35B32 35A01 35A02 76S05 76W05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Gupta, Nishi; Maqbul, Md. Solutions to Rayleigh-Love equation with constant coefficients and delay forcing term. (English) Zbl 1428.35016 Appl. Math. Comput. 355, 123-134 (2019). MSC: 35A35 35B45 35G31 35D35 × Cite Format Result Cite Review PDF Full Text: DOI
Chung, Soon-Yeong; Park, Jea-Hyun An application of FDM by Gibou to a numerical blow-up for nonlinear evolution equations on a domain \(\Omega \subset \mathbb{R}^N\). (English) Zbl 1423.35223 Commun. Math. Sci. 17, No. 4, 1149-1165 (2019). MSC: 35K61 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Kamenskii, M.; Obukhovskii, V.; Petrosyan, G.; Yao, Jen-Chih Existence and approximation of solutions to nonlocal boundary value problems for fractional differential inclusions. (English) Zbl 1474.34414 Fixed Point Theory Appl. 2019, Paper No. 2, 21 p. (2019). MSC: 34G25 34A45 34A08 47H08 47H10 47H11 34B10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Chuchu; Hong, Jialin; Ji, Lihai Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise. (English) Zbl 1479.60124 SIAM J. Numer. Anal. 57, No. 2, 702-727 (2019). MSC: 60H15 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Molnar, T. G.; Dombovari, Z.; Insperger, T.; Stepan, G. Bifurcation analysis of nonlinear time-periodic time-delay systems via semidiscretization. (English) Zbl 07864828 Int. J. Numer. Methods Eng. 115, No. 1, 57-74 (2018). MSC: 34Kxx 34Cxx 70Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Adou, K. Achille; Touré, K. Augustin; Coulibaly, A. Numerical study of estimating the blow-up time of positive solutions of semilinear heat equations. (English) Zbl 1443.65171 Far East J. Appl. Math. 100, No. 4, 291-308 (2018). MSC: 65M20 65M12 35B44 35K05 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Hintermüller, Michael; Keil, Tobias Some recent developments in optimal control of multiphase flows. (English) Zbl 1407.49008 Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 169, 113-142 (2018). MSC: 49J20 49K20 49M30 49J52 65M60 65K05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Pavlova, M. F.; Rung, E. V. On the existence of a generalized solution of the saturated-unsaturated filtration problem. (English. Russian original) Zbl 1458.76103 Differ. Equ. 54, No. 3, 352-362 (2018); translation from Differ. Uravn. 54, No. 3, 358-368 (2018). MSC: 76S05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Orlovsky, D. G.; Piskarev, S. I. On approximation of coefficient inverse problems for differential equations in functional spaces. (English. Russian original) Zbl 1434.35280 J. Math. Sci., New York 230, No. 6, 823-906 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 133 (2017). MSC: 35R30 65J22 × Cite Format Result Cite Review PDF Full Text: DOI
Tamsir, Mohammad; Srivastava, Vineet K.; Dhiman, Neeraj; Chauhan, Anand Numerical computation of nonlinear Fisher’s reaction-diffusion equation with exponential modified cubic B-spline differential quadrature method. (English) Zbl 1383.65113 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 6, 13 p. (2018). MSC: 65M20 35K57 65M12 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jian-Guo; Wang, Li; Zhou, Zhennan Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. (English) Zbl 1383.65111 Math. Comput. 87, No. 311, 1165-1189 (2018). MSC: 65M20 65M06 65M12 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Egger, H.; Kugler, T.; Liljegren-Sailer, B.; Marheineke, N.; Mehrmann, V. On structure-preserving model reduction for damped wave propagation in transport networks. (English) Zbl 1383.65110 SIAM J. Sci. Comput. 40, No. 1, A331-A365 (2018). MSC: 65M20 35R10 35R02 65M60 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bartel, Andreas; Günther, Michael PDAEs in refined electrical network modeling. (English) Zbl 1382.65282 SIAM Rev. 60, No. 1, 56-91 (2018). MSC: 65M20 35R10 35K05 35L20 × Cite Format Result Cite Review PDF Full Text: DOI
Bhatia, Rachna; Mittal, R. C. Numerical study of Schrödinger equation using differential quadrature method. (English) Zbl 1380.65217 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 36, 21 p. (2018). MSC: 65M20 35Q55 35Q51 65M12 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Beneš, Michal; Krejčí, Tomáš; Kruis, Jaroslav A FETI-based mixed explicit-implicit multi-time-step method for parabolic problems. (English) Zbl 1380.65216 J. Comput. Appl. Math. 333, 247-265 (2018). MSC: 65M20 65M55 65M60 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Alonso-Mallo, I.; Portillo, A. M. Time exponential splitting integrator for the Klein-Gordon equation with free parameters in the Hagstrom-Warburton absorbing boundary conditions. (English) Zbl 1380.65214 J. Comput. Appl. Math. 333, 185-199 (2018). MSC: 65M20 35Q40 65M06 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Company, Rafael; Egorova, Vera N.; El Fakharany, Mohamed; Jódar, Lucas; Soleymani, Fazlollah Numerical analysis of novel finite difference methods. (English) Zbl 1420.91504 Ehrhardt, Matthias (ed.) et al., Novel methods in computational finance. Cham: Springer. Math. Ind. 25, 171-214 (2017). MSC: 91G60 65M06 91G20 60G40 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Futao; Xu, Yan; Chen, Falai Discontinuous Galerkin based isogeometric analysis for geometric flows and applications in geometric modeling. (English) Zbl 1384.65065 J. Sci. Comput. 71, No. 2, 525-546 (2017). MSC: 65M20 35K05 65M60 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
He, Mingyan; Sun, Pengtao Error analysis of mixed finite element method for Poisson-Nernst-Planck system. (English) Zbl 1383.78029 Numer. Methods Partial Differ. Equations 33, No. 6, 1924-1948 (2017). MSC: 78A57 35Q60 78M10 65M15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas Summation-by-parts and correction procedure via reconstruction. (English) Zbl 1382.65287 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 627-637 (2017). MSC: 65M20 35L65 35Q53 65M12 65M06 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Simos, T. E.; Tsitouras, Ch. Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs. (English) Zbl 1387.65066 Math. Methods Appl. Sci. 40, No. 18, 6276-6284 (2017). MSC: 65L05 65L06 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Kamenskii, Mikhail; Obukhovskii, Valeri; Petrosyan, Garik; Yao, Jen-Chih On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces. (English) Zbl 1387.34027 Fixed Point Theory Appl. 2017, Paper No. 28, 20 p. (2017). MSC: 34A45 34A08 34G20 47H08 47H10 47H11 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Schütz, Jochen; Seal, David C.; Jaust, Alexander Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations. (English) Zbl 1381.65078 J. Sci. Comput. 73, No. 2-3, 1145-1163 (2017). MSC: 65M20 35K20 65M60 65L06 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conde, Sidafa; Gottlieb, Sigal; Grant, Zachary J.; Shadid, John N. Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order. (English) Zbl 1381.65052 J. Sci. Comput. 73, No. 2-3, 667-690 (2017). MSC: 65L05 35L65 65L06 65L20 65M20 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yajing; Wang, Yejuan; Deng, Weihua Galerkin finite element approximations for stochastic space-time fractional wave equations. (English) Zbl 1380.65017 SIAM J. Numer. Anal. 55, No. 6, 3173-3202 (2017). MSC: 65C30 65M60 35L05 35R11 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kopteva, Natalia; Linß, Torsten Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations. (English) Zbl 1378.65167 Adv. Comput. Math. 43, No. 5, 999-1022 (2017). MSC: 65M20 35K58 65M15 65M06 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Gopalakrishnan, J.; Schöberl, J.; Wintersteiger, C. Mapped tent pitching schemes for hyperbolic systems. (English) Zbl 1378.65166 SIAM J. Sci. Comput. 39, No. 6, B1043-B1063 (2017). MSC: 65M20 35L40 76N15 76M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Di; Miao, Xiaoping New unconditionally stable scheme for telegraph equation based on weighted Laguerre polynomials. (English) Zbl 1375.65123 Numer. Methods Partial Differ. Equations 33, No. 5, 1603-1615 (2017). MSC: 65M20 65M12 35L20 65M60 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice Exponentially fitted IMEX methods for advection-diffusion problems. (English) Zbl 1375.65121 J. Comput. Appl. Math. 316, 100-108 (2017). MSC: 65M20 35K20 35Q35 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Almquist, Martin; Mehlin, Michaela Multilevel local time-stepping methods of Runge-Kutta-type for wave equations. (English) Zbl 1373.65069 SIAM J. Sci. Comput. 39, No. 5, A2020-A2048 (2017). MSC: 65M60 65M06 65L06 65M20 65M50 35L05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kovács, Balázs; Lubich, Christian Stable and convergent fully discrete interior-exterior coupling of Maxwell’s equations. (English) Zbl 1375.35528 Numer. Math. 137, No. 1, 91-117 (2017); correction ibid. 147, No. 4, 997-1000 (2021). MSC: 35Q61 65M60 65M38 65M12 65R20 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ru; Li, Miao; Piskarev, Sergey The order of convergence of difference schemes for fractional equations. (English) Zbl 1379.65072 Numer. Funct. Anal. Optim. 38, No. 6, 754-769 (2017). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65M12 65M06 65M20 35K90 65M15 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Peng; Xie, Shenglan; Wang, Xiaoshen Nonsmooth data error estimates for FEM approximations of the time fractional cable equation. (English) Zbl 1372.65260 Appl. Numer. Math. 121, 170-184 (2017). MSC: 65M15 65M20 65M60 35K20 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Toumi, Asma; Dufour, Guillaume; Perrussel, Ronan; Unfer, Thomas Second order accurate asynchronous scheme for modeling linear partial differential equations. (English) Zbl 1372.65263 Appl. Numer. Math. 121, 115-133 (2017). MSC: 65M20 35G05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation. (English) Zbl 1372.65261 SIAM J. Numer. Anal. 55, No. 4, 2085-2109 (2017). MSC: 65M20 35K05 35L65 65L06 65L04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Yuesheng; Li, Xiaole; Guo, Cui Fourth-order compact and energy conservative scheme for solving nonlinear Klein-Gordon equation. (English) Zbl 1377.65119 Numer. Methods Partial Differ. Equations 33, No. 4, 1283-1304 (2017). Reviewer: Costică Moroşanu (Iaşi) MSC: 65M20 35Q40 65L06 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Baccouch, Mahboub A posteriori error estimator based on derivative recovery for the discontinuous Galerkin method for nonlinear hyperbolic conservation laws on Cartesian grids. (English) Zbl 1376.65121 Numer. Methods Partial Differ. Equations 33, No. 4, 1224-1265 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M15 65M60 65L06 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Tolstykh, A. I. On families high-order accurate multioperator approximations of derivatives using two-point operators. (English. Russian original) Zbl 1371.65100 Dokl. Math. 95, No. 2, 136-139 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 2, 138-141 (2017). MSC: 65M20 65D25 35L02 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Bu, Weiping; Xiao, Aiguo; Zeng, Wei Finite difference/finite element methods for distributed-order time fractional diffusion equations. (English) Zbl 1375.65110 J. Sci. Comput. 72, No. 1, 422-441 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M06 65M60 35K05 35R11 65M20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Pang, Gang; Yang, Yibo; Tang, Shaoqiang Exact boundary condition for semi-discretized Schrödinger equation and heat equation in a rectangular domain. (English) Zbl 1371.65099 J. Sci. Comput. 72, No. 1, 1-13 (2017). MSC: 65M20 35Q41 65M06 35K05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Shu-Lin Three rapidly convergent parareal solvers with application to time-dependent PDEs with fractional Laplacian. (English) Zbl 1369.65113 Math. Methods Appl. Sci. 40, No. 11, 3912-3926 (2017). MSC: 65M20 35K20 65M12 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xianzhi; Niu, Yuqi; Wang, Zhijun Superconvergence analysis and extrapolation of a low order mixed finite element formulation for quasilinear integrodifferential equations of pseudo-hyperbolic type. (Chinese. English summary) Zbl 1374.65214 J. Henan Univ., Nat. Sci. 47, No. 1, 115-122 (2017). MSC: 65R20 45K05 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Shuzhen; Shi, Xiangyu; Liu, Qian An \(H^1\)-Galerkin nonconforming mixed finite element method for pseudo-hyperbolic equations. (Chinese. English summary) Zbl 1374.65171 J. Henan Norm. Univ., Nat. Sci. 45, No. 1, 1-7 (2017). MSC: 65M60 65M20 35L82 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yunqing; Li, Jichun; Li, Dan Developing weak Galerkin finite element methods for the wave equation. (English) Zbl 1377.65129 Numer. Methods Partial Differ. Equations 33, No. 3, 868-884 (2017). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M60 65M12 65M15 65M20 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Hintermüller, Michael; Keil, Tobias; Wegner, Donat Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. (English) Zbl 1368.49022 SIAM J. Control Optim. 55, No. 3, 1954-1989 (2017). MSC: 49K20 35J87 90C46 76T10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alonso-Mallo, I.; Cano, B.; Reguera, N. Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods. (English) Zbl 1367.65132 Appl. Numer. Math. 118, 64-74 (2017). MSC: 65M20 35G16 65L06 65J08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Meng; Huang, Chengming; Jiang, Fengze Galerkin finite element method for higher dimensional multi-term fractional diffusion equation on non-uniform meshes. (English) Zbl 1371.65108 Appl. Anal. 96, No. 8, 1269-1284 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M20 65M12 65M15 35R11 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Gracia, J. L.; O’Riordan, E. A singularly perturbed convection-diffusion problem with a moving pulse. (English) Zbl 1366.65084 J. Comput. Appl. Math. 321, 371-388 (2017). MSC: 65M20 65M06 35B25 35K20 65M50 × Cite Format Result Cite Review PDF Full Text: DOI
Baccouch, Mahboub Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation. (English) Zbl 1367.65139 Int. J. Comput. Math. 94, No. 2, 316-344 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M12 65M15 35Q51 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Cîndea, Nicolae; Micu, Sorin; Rovenţa, Ionel Boundary controllability for finite-differences semidiscretizations of a clamped beam equation. (English) Zbl 1361.93009 SIAM J. Control Optim. 55, No. 2, 785-817 (2017). MSC: 93B05 65N06 65N25 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Castro, M. J.; Morales de Luna, T.; Parés, C. Well-balanced schemes and path-conservative numerical methods. (English) Zbl 1368.65131 Abgrall, Rémi (ed.) et al., Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). Handbook of Numerical Analysis 18, 131-175 (2017). MSC: 65M06 35L60 65M08 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Shu, C.-W.; Tan, S. Inverse Lax-Wendroff procedure for numerical boundary treatment of hyperbolic equations. (English) Zbl 1366.65080 Abgrall, Rémi (ed.) et al., Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). Handbook of Numerical Analysis 18, 23-52 (2017). MSC: 65M06 35L65 65M20 65L06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Auzinger, Winfried; Koch, Othmar; Quell, Michael Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. (English) Zbl 1365.65212 Numer. Algorithms 75, No. 1, 261-283 (2017). MSC: 65M20 35K55 65L05 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Melenk, Jens Markus; Rieder, Alexander Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation. (English) Zbl 1361.65076 J. Integral Equations Appl. 29, No. 1, 189-250 (2017). MSC: 65M38 35Q41 65M60 65M20 65L06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Tariq, Hira; Akram, Ghazala Quintic spline technique for time fractional fourth-order partial differential equation. (English) Zbl 1361.65071 Numer. Methods Partial Differ. Equations 33, No. 2, 445-466 (2017). Reviewer: Marius Ghergu (Dublin) MSC: 65M20 35K35 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Klingenberg, Christian; Schnücke, Gero; Xia, Yinhua Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension. (English) Zbl 1359.65204 Math. Comput. 86, No. 305, 1203-1232 (2017). MSC: 65M60 35L65 65M20 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Zhengang; Zheng, Yunying; Guo, Peng A Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data. (English) Zbl 1360.65246 J. Sci. Comput. 70, No. 1, 386-406 (2017). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M20 65M06 65M12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng; Huang, Chengming; Wang, Pengde Galerkin finite element method for nonlinear fractional Schrödinger equations. (English) Zbl 1359.65208 Numer. Algorithms 74, No. 2, 499-525 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M06 35Q55 65M12 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Jüngel, Ansgar; Schuchnigg, Stefan Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations. (English) Zbl 1375.65073 Commun. Math. Sci. 15, No. 1, 27-53 (2017). Reviewer: Angela Handlovičová (Bratislava) MSC: 65J08 65L06 65M12 65M20 76S05 35K55 35K90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Xuenian; Cao, Xianxian; Wen, Liping The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term. (English) Zbl 1357.65149 J. Comput. Appl. Math. 318, 199-210 (2017). MSC: 65M20 35K55 35R11 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Bresten, Christopher; Gottlieb, Sigal; Grant, Zachary; Higgs, Daniel; Ketcheson, David I.; Németh, Adrian Explicit strong stability preserving multistep Runge-Kutta methods. (English) Zbl 1355.65120 Math. Comput. 86, No. 304, 747-769 (2017). MSC: 65M20 35L20 65L06 65M12 35L02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Porretta, Alessio; Zuazua, Enrique Numerical hypocoercivity for the Kolmogorov equation. (English) Zbl 1351.65059 Math. Comput. 86, No. 303, 97-119 (2017). MSC: 65M06 35L02 35B40 65M20 35Q84 82C31 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liang, Bo; Peng, Xiting; Shen, Huiying Study of solutions to a fourth order parabolic equation. (English) Zbl 1488.35288 Math. Model. Anal. 21, No. 1, 1-15 (2016). MSC: 35K35 35K59 35A01 35A02 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Grothaus, Martin; Marheineke, Nicole On a nonlinear partial differential algebraic system arising in the technical textile industry: analysis and numerics. (English) Zbl 1433.74107 IMA J. Numer. Anal. 36, No. 4, 1783-1803 (2016). MSC: 74S05 65M60 35Q74 65M12 74K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Dong; Zhang, Yong-Tao Krylov integration factor method on sparse grids for high spatial dimension convection-diffusion equations. (English) Zbl 1370.65045 J. Sci. Comput. 69, No. 2, 736-763 (2016). MSC: 65M20 35K57 65M06 65M50 35Q84 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Fuqiang; Song, Zhiyao; Zhang, Zhuo A compact fourth-order finite difference scheme for the improved Boussinesq equation with damping terms. (English) Zbl 1374.65153 J. Comput. Math. 34, No. 5, 462-478 (2016). MSC: 65M20 65M06 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tang, Tao; Yang, Jiang Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. (English) Zbl 1374.65154 J. Comput. Math. 34, No. 5, 451-461 (2016). MSC: 65M20 65M06 65M12 35Q35 35B50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hesameddini, Esmail; Asadolahifard, Elham A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation. (English) Zbl 1361.65078 Comput. Math. Appl. 72, No. 7, 1926-1942 (2016). MSC: 65M60 65M70 35L20 65M12 65F10 65M06 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Abdulle, Assyr Numerical homogenization methods for parabolic monotone problems. (English) Zbl 1357.65168 Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 1-38 (2016). MSC: 65M60 65M20 35K55 65L06 35B27 65M12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dag, Idiris; Ersoy, Ozlem The exponential cubic B-spline algorithm for Fisher equation. (English) Zbl 1357.65150 Chaos Solitons Fractals 86, 101-106 (2016). MSC: 65M20 65M06 65M70 35Q35 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, Arieh The joy and pain of skew symmetry. (English) Zbl 1357.65151 Found. Comput. Math. 16, No. 6, 1607-1630 (2016). MSC: 65M20 35Q55 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Karalashvili, Liana Interpolation method of Shalva Mikeladze with following applications. (English) Zbl 1355.65088 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, May 18–22, 2015. Selected contributions. Cham: Springer (ISBN 978-3-319-32855-3/hbk; 978-3-319-32857-7/ebook). Springer Proceedings in Mathematics & Statistics 164, 235-244 (2016). MSC: 65L05 65L10 34A30 34A34 65L15 65N40 35J05 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Kovács, Balázs; Li, Buyang; Lubich, Christian A-stable time discretizations preserve maximal parabolic regularity. (English) Zbl 1355.65122 SIAM J. Numer. Anal. 54, No. 6, 3600-3624 (2016). MSC: 65M20 35K55 65L06 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Shan; Huang, Wei A second-order accurate mixed Jacobi-spherical harmonic spectral pseudospectral method for Fisher-like equation. (Chinese. English summary) Zbl 1363.65174 Commun. Appl. Math. Comput. 30, No. 2, 215-221 (2016). MSC: 65M70 65M06 65M20 35Q35 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Einkemmer, Lukas; Ostermann, Alexander Overcoming order reduction in diffusion-reaction splitting. II: Oblique boundary conditions. (English) Zbl 1355.65121 SIAM J. Sci. Comput. 38, No. 6, A3741-A3757 (2016). MSC: 65M20 65M12 65L04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mérigot, Quentin; Mirebeau, Jean-Marie Minimal geodesics along volume-preserving maps, through semidiscrete optimal transport. (English) Zbl 1354.65136 SIAM J. Numer. Anal. 54, No. 6, 3465-3492 (2016). MSC: 65K10 49J20 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhrawy, A. H.; Abdelkawy, M. A.; Ezz-Eldien, S. S. Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions. (English) Zbl 1354.65201 Mediterr. J. Math. 13, No. 5, 2483-2506 (2016). MSC: 65M70 35Q35 35R11 65M20 65L06 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Do, Seongju; Ha, Youngsoo; Kang, M.; Kim, Chang Ho Application of a multi-dimensional limiting process to central-upwind schemes for solving hyperbolic systems of conservation laws. (English) Zbl 1352.65300 J. Sci. Comput. 69, No. 1, 274-291 (2016). MSC: 65M20 65M06 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Ruihan; Filbet, Francis; Xu, Yan Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. (English) Zbl 1352.65301 J. Sci. Comput. 68, No. 3, 1029-1054 (2016). MSC: 65M20 65M60 65L06 65M55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni High order semi-implicit schemes for time dependent partial differential equations. (English) Zbl 1353.65075 J. Sci. Comput. 68, No. 3, 975-1001 (2016). MSC: 65L06 34A34 65L05 65M20 35K57 35Q84 65L04 76D27 76R50 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Christlieb, Andrew J.; Gottlieb, Sigal; Grant, Zachary; Seal, David C. Explicit strong stability preserving multistage two-derivative time-stepping schemes. (English) Zbl 1352.65289 J. Sci. Comput. 68, No. 3, 914-942 (2016); erratum ibid. 68, No. 3, 943-944 (2016). MSC: 65M12 65M06 65M20 35L65 × Cite Format Result Cite Review PDF Full Text: DOI DOI arXiv
Higueras, Inmaculada; Roldán, Teo On the performance of low storage additive Runge-Kutta methods. (English) Zbl 1351.65050 Ahusborde, É. (ed.) et al., Thirteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 17–18, 2014. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-16515-68-4/pbk). Monografías Matemáticas “García de Galdeano” 40, 77-86 (2016). MSC: 65L06 65M20 65Y20 65L05 65L04 34A34 62L20 × Cite Format Result Cite Review PDF
Yip, Nung Kwan; Misiats, Oleksandr Convergence of space-time discrete threshold dynamics to anisotropic motion by mean curvature. (English) Zbl 1353.65097 Discrete Contin. Dyn. Syst. 36, No. 11, 6379-6411 (2016). MSC: 65M20 35Q35 35B25 35B40 35K08 35K93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hassell, Matthew; Sayas, Francisco-Javier Convolution quadrature for wave simulations. (English) Zbl 1351.65102 Higueras, Inmaculada (ed.) et al., Numerical simulation in physics and engineering. Lecture notes of the XVI ‘Jacques-Louis Lions’ Spanish-French school, Pamplona, Spain, September 2014. Cham: Springer (ISBN 978-3-319-32145-5/hbk; 978-3-319-32146-2/ebook). SEMA SIMAI Springer Series 9, 71-159 (2016). MSC: 65R20 45E10 45D05 65M20 65M38 76Q05 44A10 35A22 65L06 65T50 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kučera, Václav Finite element error estimates for nonlinear convective problems. (English) Zbl 1351.65066 J. Numer. Math. 24, No. 3, 143-165 (2016). MSC: 65M15 65M60 65M12 35K55 65M20 × Cite Format Result Cite Review PDF Full Text: DOI