Chaudhary, Renu; Diethelm, Kai; Hashemishahraki, Safoura On the separation of solutions to fractional differential equations of order \(\alpha \in (1,2)\). (English) Zbl 07885876 Appl. Numer. Math. 203, 84-96 (2024). Reviewer: Yige Zhao (Jinan) MSC: 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Czyżewska, Natalia; Morkisz, Paweł M.; Przybyłowicz, Paweł Euler scheme for approximation of solution of nonlinear ODEs under inexact information. (English) Zbl 1526.65031 Appl. Numer. Math. 193, 226-241 (2023). MSC: 65L05 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaur, Avleen; Lui, S. H. Space-time spectral method for the Stokes problem. (English) Zbl 07705772 Appl. Numer. Math. 187, 206-234 (2023). MSC: 65Mxx 65Nxx 15Axx × Cite Format Result Cite Review PDF Full Text: DOI
Du, Shaohong; Cheng, Yongping; Li, Mingjun High order spline finite element method for the fourth-order parabolic equations. (English) Zbl 1505.65262 Appl. Numer. Math. 184, 496-511 (2023). MSC: 65M60 65M06 65N30 65L06 65D07 65M12 65M15 33C45 35A15 35B35 35B65 35K35 74K10 74H45 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Muoi, Pham Quy \(l^1\)-weighted regularization for the problem of recovering sparse initial conditions in parabolic equations from final measurements. (English) Zbl 07603742 Appl. Numer. Math. 183, 301-316 (2023). MSC: 65Jxx 65Nxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Umeda, Akihiro; Wakasugi, Yuta; Yoshikawa, Shuji Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions. (English) Zbl 1518.65094 Appl. Numer. Math. 171, 1-22 (2022). MSC: 65M06 35J15 74H15 74K05 74J30 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jian; Liu, Qian; Yue, Jing Numerical analysis of fully discrete finite element methods for the stochastic Navier-Stokes equations with multiplicative noise. (English) Zbl 1484.76042 Appl. Numer. Math. 170, 398-417 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D06 76M35 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Gracia, Jose Luis; O’Riordan, Eugene Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. (English) Zbl 1461.65227 Appl. Numer. Math. 162, 106-123 (2021). MSC: 65M06 65M15 35B25 76R50 65N06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Aggul, Mustafa; Kaya, Songül Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction. (English) Zbl 1457.76095 Appl. Numer. Math. 160, 178-191 (2021). MSC: 76M10 76T06 76D27 76D05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kandel, Hom N.; Liang, Dong The mass-preserving solution-flux scheme for multi-layer interface parabolic equations. (English) Zbl 1459.65146 Appl. Numer. Math. 160, 42-64 (2021). MSC: 65M06 65N06 65M12 65N12 35K15 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuan-Ming; Ren, Lei Analysis of a high-order compact finite difference method for Robin problems of time-fractional sub-diffusion equations with variable coefficients. (English) Zbl 1442.65182 Appl. Numer. Math. 156, 467-492 (2020). MSC: 65M06 65M12 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Kejia; Xia, Junyi; He, Dongdong; Zhang, Qifeng A three-level linearized difference scheme for nonlinear Schrödinger equation with absorbing boundary conditions. (English) Zbl 1442.65172 Appl. Numer. Math. 156, 32-49 (2020). MSC: 65M06 65M12 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Haixia; Ying, Wenjun; Zhang, Jiwei Maximum error estimates of a MAC scheme for Stokes equations with Dirichlet boundary conditions. (English) Zbl 1448.76068 Appl. Numer. Math. 150, 149-163 (2020). MSC: 76D07 76M20 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Meng; Wang, Hong Fast finite difference methods for space-time fractional partial differential equations in three space dimensions with nonlocal boundary conditions. (English) Zbl 1457.65067 Appl. Numer. Math. 145, 411-428 (2019). MSC: 65M06 65N06 65M12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhaoxia; Shi, Lei; Liu, Siyao; You, Xiong Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations. (English) Zbl 1477.65110 Appl. Numer. Math. 142, 171-189 (2019). MSC: 65L06 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Giuliani, Andrew; Krivodonova, Lilia On the optimal CFL number of SSP methods for hyperbolic problems. (English) Zbl 1406.65079 Appl. Numer. Math. 135, 165-172 (2019). MSC: 65M20 65M08 65L06 65M12 35L65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Huang, Chaobao; Stynes, Martin A direct discontinuous Galerkin method for a time-fractional diffusion equation with a Robin boundary condition. (English) Zbl 1404.65171 Appl. Numer. Math. 135, 15-29 (2019). MSC: 65M60 35R11 26A33 65M15 65M06 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis A stable enriched Galerkin element for the Stokes problem. (English) Zbl 1395.65072 Appl. Numer. Math. 132, 1-21 (2018). MSC: 65M60 65M15 35Q30 76D05 × 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
Izzo, Giuseppe; Jackiewicz, Zdzislaw Highly stable implicit-explicit Runge-Kutta methods. (English) Zbl 1355.65096 Appl. Numer. Math. 113, 71-92 (2017). MSC: 65L06 65L05 65L20 65L04 34A34 65M20 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Quan; Zhao, Xin; Liu, Yufeng A novel finite difference scheme for Burgers’ equation on unbounded domains. (English) Zbl 1353.65092 Appl. Numer. Math. 111, 1-16 (2017). MSC: 65M06 65M12 65M15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. (English) Zbl 1348.65141 Appl. Numer. Math. 109, 208-234 (2016). MSC: 65M60 35L20 65M12 65M15 65M06 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Tian-Jun Mixed spectral method for heat transfer with inhomogeneous Neumann boundary condition in an infinite strip. (English) Zbl 1321.65157 Appl. Numer. Math. 92, 82-97 (2015). MSC: 65M70 35K05 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Jannoun, G.; Touma, R.; Brock, F. Convergence of two-dimensional staggered central schemes on unstructured triangular grids. (English) Zbl 1321.65140 Appl. Numer. Math. 92, 1-20 (2015). MSC: 65M12 65M08 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk Method of lines for physiologically structured models with diffusion. (English) Zbl 1325.65132 Appl. Numer. Math. 94, 140-148 (2015). MSC: 65M20 65M06 65M12 35B35 35K20 35R09 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Adimurthi; Kumar K, Sudarshan; Veerappa Gowda, G. D. Second order scheme for scalar conservation laws with discontinuous flux. (English) Zbl 1329.65177 Appl. Numer. Math. 80, 46-64 (2014). MSC: 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Song, Lunji; Wu, Yujiang Nonlinear stability of reaction-diffusion equations using wavelet-like incremental unknowns. (English) Zbl 1275.65051 Appl. Numer. Math. 68, 83-107 (2013). Reviewer: S. Burys (Kraków) MSC: 65M06 65M50 65M60 65M12 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Nassif, Nabil R.; Makhoul-Karam, Noha; Erhel, Jocelyne A globally adaptive explicit numerical method for exploding systems of ordinary differential equations. (English) Zbl 1281.65097 Appl. Numer. Math. 67, 204-219 (2013). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65L05 65L06 65L04 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Krivodonova, Lilia; Qin, Ruibin An analysis of the spectrum of the discontinuous Galerkin method. (English) Zbl 1255.65166 Appl. Numer. Math. 64, 1-18 (2013). MSC: 65M20 65M70 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Baffet, Daniel; Givoli, Dan On the stability of the high-order Higdon absorbing boundary conditions. (English) Zbl 1218.65095 Appl. Numer. Math. 61, No. 6, 768-784 (2011). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Abbasbandy, S.; Shirzadi, A. MLPG method for two-dimensional diffusion equation with Neumann’s and non-classical boundary conditions. (English) Zbl 1206.65229 Appl. Numer. Math. 61, No. 2, 170-180 (2011). MSC: 65M60 35K05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Houde; Zhang, Zhiwen An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. (English) Zbl 1162.65377 Appl. Numer. Math. 59, No. 7, 1568-1583 (2009). MSC: 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Scherer, R.; Kalla, S. L.; Boyadjiev, L.; Al-Saqabi, B. Numerical treatment of fractional heat equations. (English) Zbl 1143.65105 Appl. Numer. Math. 58, No. 8, 1212-1223 (2008). MSC: 65R20 45K05 35K05 26A33 65M06 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Ehrhardt, Matthias Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data. (English) Zbl 1138.65069 Appl. Numer. Math. 58, No. 5, 660-673 (2008). MSC: 65M06 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Frolkovič, Peter; Mikula, Karol Flux-based level set method: A finite volume method for evolving interfaces. (English) Zbl 1120.65093 Appl. Numer. Math. 57, No. 4, 436-454 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65M06 65M60 76T10 35K65 35K55 53C44 × Cite Format Result Cite Review PDF Full Text: DOI
Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun. Numerical methods for viscous and nonviscous wave equations. (English) Zbl 1116.65104 Appl. Numer. Math. 57, No. 2, 194-212 (2007). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M06 65M12 65M15 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Ang, Whye-Teong A numerical method for the wave equation subject to a nonlocal conservation condition. (English) Zbl 1096.65100 Appl. Numer. Math. 56, No. 8, 1054-1060 (2006). MSC: 65M70 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Mao Numerical boundary layers of conservation laws with relaxation extension. (English) Zbl 1081.65088 Appl. Numer. Math. 51, No. 2-3, 385-405 (2004). Reviewer: Sylvie Benzoni (Lyon) MSC: 65M06 35L65 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Angulo, O.; López-Marcos, J. C. Numerical integration of fully nonlinear size-structured population models. (English) Zbl 1071.92033 Appl. Numer. Math. 50, No. 3-4, 291-327 (2004). Reviewer: Oscar Lopez-Pouso (Santiago de Compostela) MSC: 92D25 65M25 35F30 × Cite Format Result Cite Review PDF Full Text: DOI
Cameron, Frank; Palmroth, Mikko; Piché, Robert Quasi stage order conditions for SDIRK methods. (English) Zbl 0998.65071 Appl. Numer. Math. 42, No. 1-3, 61-75 (2002). MSC: 65L06 65L80 65L70 65L05 34A34 34A09 × Cite Format Result Cite Review PDF Full Text: DOI
Blasco, J.; Codina, R. Space and time error estimates for a first-order, pressure-stabilized finite element method for the incompressible Navier-Stokes equations. (English) Zbl 1011.76041 Appl. Numer. Math. 38, No. 4, 475-497 (2001). MSC: 76M10 76D05 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Ryaben’kii, Victor Nonreflecting time-dependent boundary conditions on artificial boundaries of varying location and shape. (English) Zbl 0967.65092 Appl. Numer. Math. 33, No. 1-4, 481-492 (2000). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65M06 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Tse, K. L. Simulation of penetrative convection with adaptive spectral domain decomposition method. (English) Zbl 0993.76062 Appl. Numer. Math. 33, No. 1-4, 267-274 (2000). MSC: 76M22 76R10 65M55 × Cite Format Result Cite Review PDF Full Text: DOI
Bonnet, Frédéric; Poupaud, Frédéric Berenger absorbing boundary condition with time finite-volume scheme for triangular meshes. (English) Zbl 0888.65132 Appl. Numer. Math. 25, No. 4, 333-354 (1997). Reviewer: J.Vaníček (Praha) MSC: 65Z05 65M06 35Q60 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Spijker, M. N. Numerical stability, resolvent conditions and delay differential equations. (English) Zbl 0880.65064 Appl. Numer. Math. 24, No. 2-3, 233-246 (1997). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L20 65L70 65L05 34K05 × Cite Format Result Cite Review PDF Full Text: DOI
Hundsdorfer, W. H.; Verwer, J. G. Linear stability of the hopscotch scheme. (English) Zbl 0684.65089 Appl. Numer. Math. 5, No. 5, 423-433 (1989). Reviewer: R.Gorenflo MSC: 65M12 35G10 35K25 35K20 × Cite Format Result Cite Review PDF Full Text: DOI