Yao, G-Q.; Wen, X.; Wang, Z-Q. An efficient Fourier-Laguerre spectral-Galerkin method for exterior problems of two-dimensional complex obstacles. (English) Zbl 1528.65122 Appl. Numer. Math. 193, 93-108 (2023). MSC: 65N35 65N12 PDFBibTeX XMLCite \textit{G-Q. Yao} et al., Appl. Numer. Math. 193, 93--108 (2023; Zbl 1528.65122) Full Text: DOI
Zha, Yuanyuan; Li, Zhe; Yi, Lijun Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems. (English) Zbl 1528.65038 Appl. Numer. Math. 193, 67-82 (2023). MSC: 65L60 65L10 65L20 PDFBibTeX XMLCite \textit{Y. Zha} et al., Appl. Numer. Math. 193, 67--82 (2023; Zbl 1528.65038) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi Error estimates of divergence-free generalized moving least squares (div-free GMLS) derivatives approximations in Sobolev spaces. (English) Zbl 1528.76062 Appl. Numer. Math. 192, 373-388 (2023). MSC: 76M99 65N15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 192, 373--388 (2023; Zbl 1528.76062) Full Text: DOI
Di Giovacchino, Stefano; Scalone, Carmela Numerical conservation issues for jump Pearson diffusions. (English) Zbl 1524.65030 Appl. Numer. Math. 191, 55-61 (2023). MSC: 65C30 60H35 60H10 60J60 PDFBibTeX XMLCite \textit{S. Di Giovacchino} and \textit{C. Scalone}, Appl. Numer. Math. 191, 55--61 (2023; Zbl 1524.65030) Full Text: DOI
Dong, Yuzhuo; Li, Xiao; Qiao, Zhonghua; Zhang, Zhengru Stability and convergence analysis of the exponential time differencing scheme for a Cahn-Hilliard binary fluid-surfactant model. (English) Zbl 07710420 Appl. Numer. Math. 190, 321-343 (2023). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{Y. Dong} et al., Appl. Numer. Math. 190, 321--343 (2023; Zbl 07710420) Full Text: DOI
Wu, Hua; Gao, Qiyi A space-time spectral method for solving the nonlinear Klein-Gordon equation. (English) Zbl 07710409 Appl. Numer. Math. 190, 110-137 (2023). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{H. Wu} and \textit{Q. Gao}, Appl. Numer. Math. 190, 110--137 (2023; Zbl 07710409) Full Text: DOI
Chaturvedi, Abhay Kumar; Chandra Sekhara Rao, S. Analysis of an LDG-FEM for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers. (English) Zbl 07710408 Appl. Numer. Math. 190, 84-109 (2023). MSC: 65Nxx 65Lxx 65Mxx PDFBibTeX XMLCite \textit{A. K. Chaturvedi} and \textit{S. Chandra Sekhara Rao}, Appl. Numer. Math. 190, 84--109 (2023; Zbl 07710408) Full Text: DOI
Tan, Li; Wang, Shengrong; Luo, Liangqing Strong convergence rate of implicit Euler scheme to a CIR model with delay. (English) Zbl 1524.65043 Appl. Numer. Math. 190, 15-26 (2023). MSC: 65C30 60H10 60H35 65L20 91G30 PDFBibTeX XMLCite \textit{L. Tan} et al., Appl. Numer. Math. 190, 15--26 (2023; Zbl 1524.65043) Full Text: DOI
Moradi, A.; D’Ambrosio, R.; Paternoster, B. Variable stepsize multivalue collocation methods. (English) Zbl 1521.65057 Appl. Numer. Math. 190, 1-14 (2023). MSC: 65L04 65L06 65L60 65L20 PDFBibTeX XMLCite \textit{A. Moradi} et al., Appl. Numer. Math. 190, 1--14 (2023; Zbl 1521.65057) Full Text: DOI
Li, Xiaoli; Shen, Jie Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations. (English) Zbl 07705780 Appl. Numer. Math. 188, 62-74 (2023). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{X. Li} and \textit{J. Shen}, Appl. Numer. Math. 188, 62--74 (2023; Zbl 07705780) Full Text: DOI arXiv
Cai, Meng; Gan, Siqing; Hu, Yaozhong Weak convergence of the backward Euler method for stochastic Cahn-Hilliard equation with additive noise. (English) Zbl 07705777 Appl. Numer. Math. 188, 1-20 (2023). MSC: 60H15 60H35 65C30 65M60 PDFBibTeX XMLCite \textit{M. Cai} et al., Appl. Numer. Math. 188, 1--20 (2023; Zbl 07705777) 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 PDFBibTeX XMLCite \textit{A. Kaur} and \textit{S. H. Lui}, Appl. Numer. Math. 187, 206--234 (2023; Zbl 07705772) Full Text: DOI
Bréhier, Charles-Edouard; Cohen, David Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. (English) Zbl 07699030 Appl. Numer. Math. 186, 57-83 (2023). MSC: 65C30 60H15 35Q55 60H35 PDFBibTeX XMLCite \textit{C.-E. Bréhier} and \textit{D. Cohen}, Appl. Numer. Math. 186, 57--83 (2023; Zbl 07699030) Full Text: DOI arXiv
Wang, Bao-Shan; Don, Wai Sun; Li, Peng Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models. (English) Zbl 07699029 Appl. Numer. Math. 186, 41-56 (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{B.-S. Wang} et al., Appl. Numer. Math. 186, 41--56 (2023; Zbl 07699029) Full Text: DOI
D’Ambrosio, Raffaele; Moradi, Afsaneh; Scalone, Carmela A long term analysis of stochastic theta methods for mean reverting linear process with jumps. (English) Zbl 07699022 Appl. Numer. Math. 185, 516-529 (2023). MSC: 65C30 60H10 60H35 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Appl. Numer. Math. 185, 516--529 (2023; Zbl 07699022) Full Text: DOI
Omran, A. K.; Zaky, M. A.; Hendy, A. S.; Pimenov, V. G. Numerical algorithm for a generalized form of Schnakenberg reaction-diffusion model with gene expression time delay. (English) Zbl 07699011 Appl. Numer. Math. 185, 295-310 (2023). MSC: 65Mxx 35Rxx 35Kxx PDFBibTeX XMLCite \textit{A. K. Omran} et al., Appl. Numer. Math. 185, 295--310 (2023; Zbl 07699011) Full Text: DOI
Aggul, Mustafa; Eroglu, Fatma G.; Kaya, Songül Artificial compression method for MHD system in Elsässer variables. (English) Zbl 07698999 Appl. Numer. Math. 185, 72-87 (2023). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{M. Aggul} et al., Appl. Numer. Math. 185, 72--87 (2023; Zbl 07698999) Full Text: DOI
Qiu, Hailong An optimally accurate second-order time-stepping algorithm for the nonstationary magneto-hydrodynamics equations. (English) Zbl 07630328 Appl. Numer. Math. 184, 151-170 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{H. Qiu}, Appl. Numer. Math. 184, 151--170 (2023; Zbl 07630328) Full Text: DOI
Beltrán-Larrotta, Carlos M.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: theoretical and numerical analysis. (English) Zbl 1503.35235 Appl. Numer. Math. 184, 77-100 (2023). MSC: 35Q92 35Q30 92C17 92D25 92E20 76D05 35D30 35D35 35B65 65M60 65M06 65N30 65M12 65M15 92-08 PDFBibTeX XMLCite \textit{C. M. Beltrán-Larrotta} et al., Appl. Numer. Math. 184, 77--100 (2023; Zbl 1503.35235) Full Text: DOI
Garres-Díaz, J.; Escalante, C.; Morales de Luna, T.; Castro Díaz, M. J. A general vertical decomposition of Euler equations: multilayer-moment models. (English) Zbl 1504.35252 Appl. Numer. Math. 183, 236-262 (2023). MSC: 35Q31 76B15 76B07 35R35 65M08 65M60 65M06 65N08 65N30 76M10 76M20 76M12 PDFBibTeX XMLCite \textit{J. Garres-Díaz} et al., Appl. Numer. Math. 183, 236--262 (2023; Zbl 1504.35252) Full Text: DOI
Abdi, A.; Conte, D.; D’Ambrosio, R.; Paternoster, B. Multivalue second derivative collocation methods. (English) Zbl 1506.65118 Appl. Numer. Math. 182, 344-355 (2022). MSC: 65L60 65L04 PDFBibTeX XMLCite \textit{A. Abdi} et al., Appl. Numer. Math. 182, 344--355 (2022; Zbl 1506.65118) Full Text: DOI
Hassan, Sattar M.; Harfash, Akil J. Finite element analysis of a two-species chemotaxis system with two chemicals. (English) Zbl 1500.65060 Appl. Numer. Math. 182, 148-175 (2022). MSC: 65M60 65M06 65N30 35D30 35B65 92C17 92-08 35Q92 PDFBibTeX XMLCite \textit{S. M. Hassan} and \textit{A. J. Harfash}, Appl. Numer. Math. 182, 148--175 (2022; Zbl 1500.65060) Full Text: DOI
Cai, Yongmei; Hu, Junhao; Mao, Xuerong Positivity and boundedness preserving numerical scheme for the stochastic epidemic model with square-root diffusion term. (English) Zbl 1512.60034 Appl. Numer. Math. 182, 100-116 (2022). Reviewer: Nikolaos Halidias (Athína) MSC: 60H10 65C30 60H35 PDFBibTeX XMLCite \textit{Y. Cai} et al., Appl. Numer. Math. 182, 100--116 (2022; Zbl 1512.60034) Full Text: DOI
Wang, Bao-Shan; Don, Wai Sun Affine-invariant WENO weights and operator. (English) Zbl 1502.65090 Appl. Numer. Math. 181, 630-646 (2022). MSC: 65M08 65L06 35L65 65M15 76N10 76N15 76M20 PDFBibTeX XMLCite \textit{B.-S. Wang} and \textit{W. S. Don}, Appl. Numer. Math. 181, 630--646 (2022; Zbl 1502.65090) Full Text: DOI
Gao, Shuaibin; Hu, Junhao; He, Jie; Guo, Qian The truncated \(\theta \)-Milstein method for nonautonomous and highly nonlinear stochastic differential delay equations. (English) Zbl 1505.65009 Appl. Numer. Math. 181, 234-254 (2022). MSC: 65C30 34F05 34K50 60H10 60H35 PDFBibTeX XMLCite \textit{S. Gao} et al., Appl. Numer. Math. 181, 234--254 (2022; Zbl 1505.65009) Full Text: DOI arXiv
Hutzenthaler, Martin; Nguyen, Tuan Anh Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions. (English) Zbl 1514.65144 Appl. Numer. Math. 181, 151-175 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 35K58 65C05 65M15 47J26 PDFBibTeX XMLCite \textit{M. Hutzenthaler} and \textit{T. A. Nguyen}, Appl. Numer. Math. 181, 151--175 (2022; Zbl 1514.65144) Full Text: DOI arXiv
Wu, Xiaojuan; Gan, Siqing Split-step theta Milstein methods for SDEs with non-globally Lipschitz diffusion coefficients. (English) Zbl 1492.65028 Appl. Numer. Math. 180, 16-32 (2022). MSC: 65C30 34F05 60H35 PDFBibTeX XMLCite \textit{X. Wu} and \textit{S. Gan}, Appl. Numer. Math. 180, 16--32 (2022; Zbl 1492.65028) Full Text: DOI
Buckwar, Evelyn; Samson, Adeline; Tamborrino, Massimiliano; Tubikanec, Irene A splitting method for SDEs with locally Lipschitz drift: illustration on the FitzHugh-Nagumo model. (English) Zbl 1491.65014 Appl. Numer. Math. 179, 191-220 (2022). MSC: 65C30 60H35 PDFBibTeX XMLCite \textit{E. Buckwar} et al., Appl. Numer. Math. 179, 191--220 (2022; Zbl 1491.65014) Full Text: DOI arXiv
Chen, Hu; Chen, Mengyi; Sun, Tao; Tang, Yifa Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions. (English) Zbl 1503.65257 Appl. Numer. Math. 179, 183-190 (2022). MSC: 65M70 35Q53 65M12 65M15 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Numer. Math. 179, 183--190 (2022; Zbl 1503.65257) Full Text: DOI
Płociniczak, Łukasz Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology. (English) Zbl 1503.65244 Appl. Numer. Math. 179, 105-124 (2022). MSC: 65M60 65M12 86A08 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, Appl. Numer. Math. 179, 105--124 (2022; Zbl 1503.65244) Full Text: DOI arXiv
Kałuża, Andrzej Optimal global approximation of systems of jump-diffusion SDEs on equidistant mesh. (English) Zbl 1492.65025 Appl. Numer. Math. 179, 1-26 (2022). MSC: 65C30 60H35 PDFBibTeX XMLCite \textit{A. Kałuża}, Appl. Numer. Math. 179, 1--26 (2022; Zbl 1492.65025) Full Text: DOI
Zhang, Man; Yang, Xiaozhong; Cao, Yanhua Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations. (English) Zbl 1484.65149 Appl. Numer. Math. 176, 38-55 (2022). MSC: 65L05 34A08 34C26 65L20 PDFBibTeX XMLCite \textit{M. Zhang} et al., Appl. Numer. Math. 176, 38--55 (2022; Zbl 1484.65149) Full Text: DOI
Xie, Changping; Fang, Shaomei Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions. (English) Zbl 1484.65191 Appl. Numer. Math. 176, 1-18 (2022). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{C. Xie} and \textit{S. Fang}, Appl. Numer. Math. 176, 1--18 (2022; Zbl 1484.65191) Full Text: DOI
Busto, S.; Dumbser, M. A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. (English) Zbl 1485.76056 Appl. Numer. Math. 175, 108-132 (2022). MSC: 76M12 76M10 76B10 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, Appl. Numer. Math. 175, 108--132 (2022; Zbl 1485.76056) Full Text: DOI
Bi, Yuxin; Shan, Li; Zhang, Haicheng New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions. (English) Zbl 1484.65210 Appl. Numer. Math. 175, 73-97 (2022). MSC: 65M60 65M12 65M15 76D07 PDFBibTeX XMLCite \textit{Y. Bi} et al., Appl. Numer. Math. 175, 73--97 (2022; Zbl 1484.65210) Full Text: DOI
Jiang, Chaolong; Qian, Xu; Song, Songhe; Cui, Jin Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation. (English) Zbl 1487.65166 Appl. Numer. Math. 174, 89-111 (2022). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 65N35 65L06 65P10 65M12 37M15 35Q53 PDFBibTeX XMLCite \textit{C. Jiang} et al., Appl. Numer. Math. 174, 89--111 (2022; Zbl 1487.65166) Full Text: DOI arXiv
Zhao, Xuan; Li, Xiaoli; Li, Ziyan Fast and efficient finite difference method for the distributed-order diffusion equation based on the staggered grids. (English) Zbl 1486.65137 Appl. Numer. Math. 174, 34-45 (2022). MSC: 65M06 65M12 35R11 26A33 65M15 PDFBibTeX XMLCite \textit{X. Zhao} et al., Appl. Numer. Math. 174, 34--45 (2022; Zbl 1486.65137) Full Text: DOI
He, Xiaoxiao; Deng, Weibing An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems. (English) Zbl 1483.65187 Appl. Numer. Math. 173, 434-452 (2022). MSC: 65N30 65N15 65N12 35J25 76M10 PDFBibTeX XMLCite \textit{X. He} and \textit{W. Deng}, Appl. Numer. Math. 173, 434--452 (2022; Zbl 1483.65187) Full Text: DOI
Feng, Xinlong; Lu, Xiaoli; He, Yinnian Difference finite element method for the 3D steady Stokes equations. (English) Zbl 1482.76078 Appl. Numer. Math. 173, 418-433 (2022). MSC: 76M10 76M20 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{X. Feng} et al., Appl. Numer. Math. 173, 418--433 (2022; Zbl 1482.76078) Full Text: DOI
Li, Can; Wang, Haihong; Yue, Hongyun; Guo, Shimin Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions. (English) Zbl 1486.65113 Appl. Numer. Math. 173, 395-417 (2022). MSC: 65M06 65M12 65M15 44A10 35K57 26A33 35R11 PDFBibTeX XMLCite \textit{C. Li} et al., Appl. Numer. Math. 173, 395--417 (2022; Zbl 1486.65113) Full Text: DOI
Huang, Chaobao; An, Na; Chen, Hu Local \(H^1\)-norm error analysis of a mixed finite element method for a time-fractional biharmonic equation. (English) Zbl 1484.65222 Appl. Numer. Math. 173, 211-221 (2022). MSC: 65M60 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{C. Huang} et al., Appl. Numer. Math. 173, 211--221 (2022; Zbl 1484.65222) Full Text: DOI
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A. Comparison of two finite element schemes for a chemo-repulsion system with quadratic production. (English) Zbl 1519.92028 Appl. Numer. Math. 173, 193-210 (2022). Reviewer: Takashi Suzuki (Osaka) MSC: 92C17 35Q92 65M60 35B44 65M12 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., Appl. Numer. Math. 173, 193--210 (2022; Zbl 1519.92028) Full Text: DOI arXiv
Yang, Huaijun A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations. (English) Zbl 1486.76062 Appl. Numer. Math. 173, 180-192 (2022). Reviewer: Daniel Arndt (Oak Ridge) MSC: 76M10 76M20 76D07 65M12 PDFBibTeX XMLCite \textit{H. Yang}, Appl. Numer. Math. 173, 180--192 (2022; Zbl 1486.76062) Full Text: DOI
De Bonis, M. C.; Laurita, C.; Sagaria, V. A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models. (English) Zbl 1484.65337 Appl. Numer. Math. 172, 475-496 (2022). MSC: 65R20 45D05 92C42 PDFBibTeX XMLCite \textit{M. C. De Bonis} et al., Appl. Numer. Math. 172, 475--496 (2022; Zbl 1484.65337) Full Text: DOI
Scalone, Carmela Positivity preserving stochastic \(\theta\)-methods for selected SDEs. (English) Zbl 1484.65018 Appl. Numer. Math. 172, 351-358 (2022). MSC: 65C30 60H35 PDFBibTeX XMLCite \textit{C. Scalone}, Appl. Numer. Math. 172, 351--358 (2022; Zbl 1484.65018) Full Text: DOI
Wei, Siqi; Spiteri, Raymond J. Qualitative property preservation of high-order operator splitting for the SIR model. (English) Zbl 1484.92006 Appl. Numer. Math. 172, 332-350 (2022). MSC: 92-08 65L05 92D30 PDFBibTeX XMLCite \textit{S. Wei} and \textit{R. J. Spiteri}, Appl. Numer. Math. 172, 332--350 (2022; Zbl 1484.92006) Full Text: DOI
Xu, Fei; Huang, Qiumei; Yang, Huiting; Ma, Hongkun Multilevel correction goal-oriented adaptive finite element method for semilinear elliptic equations. (English) Zbl 1484.65306 Appl. Numer. Math. 172, 224-241 (2022). MSC: 65N30 65N12 65N50 PDFBibTeX XMLCite \textit{F. Xu} et al., Appl. Numer. Math. 172, 224--241 (2022; Zbl 1484.65306) Full Text: DOI
Wang, Danxia; Wang, Xingxing; Zhang, Ran; Jia, Hongen An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1518.65112 Appl. Numer. Math. 171, 58-75 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D27 76D45 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{D. Wang} et al., Appl. Numer. Math. 171, 58--75 (2022; Zbl 1518.65112) Full Text: DOI
Pan, Yueyue; Wu, Lifei; Yang, Xiaozhong A difference method with intrinsic parallelism for the variable-coefficient compound KdV-Burgers equation. (English) Zbl 1486.65124 Appl. Numer. Math. 169, 201-220 (2021). MSC: 65M06 65M12 65Y05 35Q53 PDFBibTeX XMLCite \textit{Y. Pan} et al., Appl. Numer. Math. 169, 201--220 (2021; Zbl 1486.65124) Full Text: DOI
D’Ambrosio, Raffaele; Scalone, Carmela Filon quadrature for stochastic oscillators driven by time-varying forces. (English) Zbl 07379316 Appl. Numer. Math. 169, 21-31 (2021). MSC: 65C30 60H35 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{C. Scalone}, Appl. Numer. Math. 169, 21--31 (2021; Zbl 07379316) Full Text: DOI
Chen, Jingrun; Wang, Cheng; Xie, Changjian Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshitz equation. (English) Zbl 1469.82037 Appl. Numer. Math. 168, 55-74 (2021). MSC: 82D40 35Q60 65M06 65N06 65M12 78M20 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Numer. Math. 168, 55--74 (2021; Zbl 1469.82037) Full Text: DOI arXiv
Ngoc, Tran Bao; Tri, Vo Viet; Hammouch, Zakia; Can, Nguyen Huu Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time. (English) Zbl 1467.35339 Appl. Numer. Math. 167, 308-329 (2021). MSC: 35R11 35K70 35B20 35B30 35B35 PDFBibTeX XMLCite \textit{T. B. Ngoc} et al., Appl. Numer. Math. 167, 308--329 (2021; Zbl 1467.35339) Full Text: DOI
Li, Wuyang; Xu, Yingxiang Schwarz domain decomposition methods for the fluid-fluid system with friction-type interface conditions. (English) Zbl 1465.76053 Appl. Numer. Math. 166, 114-126 (2021). MSC: 76M10 76T06 76D07 76M12 PDFBibTeX XMLCite \textit{W. Li} and \textit{Y. Xu}, Appl. Numer. Math. 166, 114--126 (2021; Zbl 1465.76053) Full Text: DOI
Du, Yanyan; Zhang, Qimin; Meyer-Baese, Anke The positive numerical solution for stochastic age-dependent capital system based on explicit-implicit algorithm. (English) Zbl 1475.65152 Appl. Numer. Math. 165, 198-215 (2021). MSC: 65M75 65M12 45K05 60H35 91G15 91G60 35R60 35Q91 PDFBibTeX XMLCite \textit{Y. Du} et al., Appl. Numer. Math. 165, 198--215 (2021; Zbl 1475.65152) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi A divergence-free generalized moving least squares approximation with its application. (English) Zbl 1458.76080 Appl. Numer. Math. 162, 374-404 (2021). MSC: 76M99 76T06 76S05 65M15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 162, 374--404 (2021; Zbl 1458.76080) Full Text: DOI
Li, Tingyue; Xu, Dinghua; Zhang, Qifeng High-order compact schemes for semilinear parabolic moving boundary problems. (English) Zbl 1459.65151 Appl. Numer. Math. 161, 452-468 (2021). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{T. Li} et al., Appl. Numer. Math. 161, 452--468 (2021; Zbl 1459.65151) Full Text: DOI
Benito, J. J.; García, A.; Gavete, L.; Negreanu, M.; Ureña, F.; Vargas, A. M. Convergence and numerical simulations of prey-predator interactions via a meshless method. (English) Zbl 1460.65098 Appl. Numer. Math. 161, 333-347 (2021). MSC: 65M06 65N06 35B09 35B40 92D25 92C17 35Q92 65M12 PDFBibTeX XMLCite \textit{J. J. Benito} et al., Appl. Numer. Math. 161, 333--347 (2021; Zbl 1460.65098) Full Text: DOI
Narayanamurthi, Mahesh; Sandu, Adrian Partitioned exponential methods for coupled multiphysics systems. (English) Zbl 1462.65130 Appl. Numer. Math. 161, 178-207 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M20 65L06 65L04 15A16 PDFBibTeX XMLCite \textit{M. Narayanamurthi} and \textit{A. Sandu}, Appl. Numer. Math. 161, 178--207 (2021; Zbl 1462.65130) Full Text: DOI arXiv
Sun, Jing; Nie, Daxin; Deng, Weihua High-order BDF fully discrete scheme for backward fractional Feynman-Kac equation with nonsmooth data. (English) Zbl 1472.65126 Appl. Numer. Math. 161, 82-100 (2021). MSC: 65M60 65M06 65M12 35R11 65R20 65M15 82C31 35Q84 PDFBibTeX XMLCite \textit{J. Sun} et al., Appl. Numer. Math. 161, 82--100 (2021; Zbl 1472.65126) Full Text: DOI arXiv
Hu, Wujie; Wu, Jinzhao; Yuan, Gonglin Some modified Hestenes-Stiefel conjugate gradient algorithms with application in image restoration. (English) Zbl 1450.90028 Appl. Numer. Math. 158, 360-376 (2020). MSC: 90C25 90C06 90C52 PDFBibTeX XMLCite \textit{W. Hu} et al., Appl. Numer. Math. 158, 360--376 (2020; Zbl 1450.90028) Full Text: DOI
Bassi, C.; Busto, S.; Dumbser, M. High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. (English) Zbl 1447.74042 Appl. Numer. Math. 158, 236-263 (2020). MSC: 74S05 74S20 74L05 74J05 74F10 76B15 86A15 PDFBibTeX XMLCite \textit{C. Bassi} et al., Appl. Numer. Math. 158, 236--263 (2020; Zbl 1447.74042) Full Text: DOI arXiv
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential. (English) Zbl 1452.65316 Appl. Numer. Math. 158, 54-84 (2020). MSC: 65N25 65N30 65N35 65N12 65N15 35J10 35P15 35B65 PDFBibTeX XMLCite \textit{L. Jia} et al., Appl. Numer. Math. 158, 54--84 (2020; Zbl 1452.65316) Full Text: DOI
Singh, Brajesh Kumar; Agrawal, Saloni A new approximation of conformable time fractional partial differential equations with proportional delay. (English) Zbl 1446.65139 Appl. Numer. Math. 157, 419-433 (2020). MSC: 65M99 65M15 35R11 26A33 65M70 35R10 35R07 35Q53 PDFBibTeX XMLCite \textit{B. K. Singh} and \textit{S. Agrawal}, Appl. Numer. Math. 157, 419--433 (2020; Zbl 1446.65139) Full Text: DOI
Gao, Yali; Li, Rui; Mei, Liquan; Lin, Yanping A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1446.65110 Appl. Numer. Math. 157, 338-355 (2020). MSC: 65M60 65M06 65N30 76S05 76D27 35Q35 PDFBibTeX XMLCite \textit{Y. Gao} et al., Appl. Numer. Math. 157, 338--355 (2020; Zbl 1446.65110) Full Text: DOI
Wang, Junjie; Dai, Hongbin; Hui, Yuanxian Conservative Fourier spectral scheme for higher order Klein-Gordon-Schrödinger equations. (English) Zbl 1442.65222 Appl. Numer. Math. 156, 446-466 (2020). MSC: 65M22 65N35 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Numer. Math. 156, 446--466 (2020; Zbl 1442.65222) Full Text: DOI
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru Collocation methods for terminal value problems of tempered fractional differential equations. (English) Zbl 1455.65238 Appl. Numer. Math. 156, 385-395 (2020). MSC: 65R20 45D05 34A08 65L60 PDFBibTeX XMLCite \textit{B. Shiri} et al., Appl. Numer. Math. 156, 385--395 (2020; Zbl 1455.65238) Full Text: DOI
Conte, Dajana Dynamical low-rank approximation to the solution of parabolic differential equations. (English) Zbl 1441.37103 Appl. Numer. Math. 156, 377-384 (2020). MSC: 37N30 37M99 65F55 65L05 65L70 PDFBibTeX XMLCite \textit{D. Conte}, Appl. Numer. Math. 156, 377--384 (2020; Zbl 1441.37103) Full Text: DOI
Zhang, Huili; Feng, Xinlong; Wang, Kun Long time error estimates of IFE methods for the unsteady multi-layer porous wall model. (English) Zbl 1442.65400 Appl. Numer. Math. 156, 303-321 (2020). MSC: 65N30 65M22 65M12 65M15 35K20 35Q31 76Z05 92C35 76M10 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Numer. Math. 156, 303--321 (2020; Zbl 1442.65400) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. (English) Zbl 1437.65174 Appl. Numer. Math. 154, 172-186 (2020). MSC: 65N30 65N15 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 154, 172--186 (2020; Zbl 1437.65174) Full Text: DOI
Zhang, Wei Convergence of the balanced Euler method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. (English) Zbl 1498.65026 Appl. Numer. Math. 154, 17-35 (2020). MSC: 65C30 60H20 65R20 45R05 45D05 PDFBibTeX XMLCite \textit{W. Zhang}, Appl. Numer. Math. 154, 17--35 (2020; Zbl 1498.65026) Full Text: DOI
Martiradonna, Angela; Colonna, Gianpiero; Diele, Fasma GeCo: geometric conservative nonstandard schemes for biochemical systems. (English) Zbl 1436.65083 Appl. Numer. Math. 155, 38-57 (2020). MSC: 65L05 65L06 65P10 65Z05 PDFBibTeX XMLCite \textit{A. Martiradonna} et al., Appl. Numer. Math. 155, 38--57 (2020; Zbl 1436.65083) Full Text: DOI
Liu, Wei; Mao, Xuerong; Tang, Jingwen; Wu, Yue Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations. (English) Zbl 1456.65007 Appl. Numer. Math. 153, 66-81 (2020). MSC: 65C30 60H10 34K50 PDFBibTeX XMLCite \textit{W. Liu} et al., Appl. Numer. Math. 153, 66--81 (2020; Zbl 1456.65007) Full Text: DOI arXiv
Qin, Yonghui; Ma, Heping Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations. (English) Zbl 1436.65149 Appl. Numer. Math. 153, 52-65 (2020). MSC: 65M70 65N35 65N30 65M15 65D30 PDFBibTeX XMLCite \textit{Y. Qin} and \textit{H. Ma}, Appl. Numer. Math. 153, 52--65 (2020; Zbl 1436.65149) Full Text: DOI
Yu, Zhe; Wu, Boying; Sun, Jiebao; Liu, Wenjie A generalized-Jacobi-function spectral method for space-time fractional reaction-diffusion equations with viscosity terms. (English) Zbl 1440.65152 Appl. Numer. Math. 152, 355-378 (2020). MSC: 65M70 65M60 33C45 65M15 65M12 65F50 26A33 35R11 35A15 35A01 35A02 PDFBibTeX XMLCite \textit{Z. Yu} et al., Appl. Numer. Math. 152, 355--378 (2020; Zbl 1440.65152) Full Text: DOI arXiv
Citro, Vincenzo; D’Ambrosio, Raffaele Nearly conservative multivalue methods with extended bounded parasitism. (English) Zbl 1448.37104 Appl. Numer. Math. 152, 221-230 (2020). MSC: 37M15 65P10 PDFBibTeX XMLCite \textit{V. Citro} and \textit{R. D'Ambrosio}, Appl. Numer. Math. 152, 221--230 (2020; Zbl 1448.37104) Full Text: DOI
Narayanamurthi, Mahesh; Sandu, Adrian Efficient implementation of partitioned stiff exponential Runge-Kutta methods. (English) Zbl 1439.65079 Appl. Numer. Math. 152, 141-158 (2020). Reviewer: Joseph Páez Chávez (Guayaquil) MSC: 65L06 65L04 65L20 65P10 37M15 PDFBibTeX XMLCite \textit{M. Narayanamurthi} and \textit{A. Sandu}, Appl. Numer. Math. 152, 141--158 (2020; Zbl 1439.65079) Full Text: DOI arXiv
Zhang, Jun; Chen, Chuanjun; Yang, Xiaofeng Efficient and energy stable method for the Cahn-Hilliard phase-field model for diblock copolymers. (English) Zbl 1439.65237 Appl. Numer. Math. 151, 263-281 (2020). MSC: 65Z05 65M12 35K20 35K35 35K55 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Numer. Math. 151, 263--281 (2020; Zbl 1439.65237) Full Text: DOI
Wen, Jing; Su, Jian; He, Yinnian; Chen, Hongbin Discontinuous Galerkin method for the nonlinear Biot’s model. (English) Zbl 1431.74108 Appl. Numer. Math. 151, 213-228 (2020). MSC: 74S05 74F10 65M60 PDFBibTeX XMLCite \textit{J. Wen} et al., Appl. Numer. Math. 151, 213--228 (2020; Zbl 1431.74108) Full Text: DOI
Eslahchi, M. R.; Esmaili, Sakine The convergence and stability analysis of a numerical method for solving a mathematical model of language competition. (English) Zbl 1441.35237 Appl. Numer. Math. 151, 119-140 (2020). MSC: 35Q91 65M70 91F20 91-10 PDFBibTeX XMLCite \textit{M. R. Eslahchi} and \textit{S. Esmaili}, Appl. Numer. Math. 151, 119--140 (2020; Zbl 1441.35237) Full Text: DOI
He, Dongdong; Pan, Kejia; Hu, Hongling A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation. (English) Zbl 1434.65117 Appl. Numer. Math. 151, 44-63 (2020). MSC: 65M06 35R11 35Q56 65M12 PDFBibTeX XMLCite \textit{D. He} et al., Appl. Numer. Math. 151, 44--63 (2020; Zbl 1434.65117) Full Text: DOI
Macías-Díaz, J. E. Existence of solutions of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system. (English) Zbl 1433.65161 Appl. Numer. Math. 151, 40-43 (2020). MSC: 65M06 35R11 35Q53 35A01 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, Appl. Numer. Math. 151, 40--43 (2020; Zbl 1433.65161) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. (English) Zbl 1444.76083 Appl. Numer. Math. 150, 274-294 (2020). Reviewer: Petr Sváček (Praha) MSC: 76M99 76M20 76A10 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 150, 274--294 (2020; Zbl 1444.76083) Full Text: DOI
Guo, Yayu; Jia, Hongen; Li, Jichun; Li, Ming Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential. (English) Zbl 1434.65181 Appl. Numer. Math. 150, 206-221 (2020). MSC: 65M60 35Q35 35R35 65M06 65M12 65M15 35L65 76D27 PDFBibTeX XMLCite \textit{Y. Guo} et al., Appl. Numer. Math. 150, 206--221 (2020; Zbl 1434.65181) Full Text: DOI
Chakib, A.; Hadri, A.; Nachaoui, A.; Nachaoui, M. Multiscale computational method for nonlinear heat transmission problem in periodic porous media. (English) Zbl 1440.65130 Appl. Numer. Math. 150, 164-181 (2020). MSC: 65M60 65N30 65M22 65M15 65M12 35B27 80A19 80A21 35K05 74F05 35Q79 PDFBibTeX XMLCite \textit{A. Chakib} et al., Appl. Numer. Math. 150, 164--181 (2020; Zbl 1440.65130) Full Text: DOI
Teng, Long; Lapitckii, Aleksandr; Günther, Michael A multi-step scheme based on cubic spline for solving backward stochastic differential equations. (English) Zbl 1433.60041 Appl. Numer. Math. 150, 117-138 (2020). MSC: 60H10 60H30 65C30 PDFBibTeX XMLCite \textit{L. Teng} et al., Appl. Numer. Math. 150, 117--138 (2020; Zbl 1433.60041) Full Text: DOI arXiv
Citro, Vincenzo; D’Ambrosio, Raffaele Long-term analysis of stochastic \(\theta\)-methods for damped stochastic oscillators. (English) Zbl 1453.65015 Appl. Numer. Math. 150, 18-26 (2020). MSC: 65C30 60H10 60H35 65L06 PDFBibTeX XMLCite \textit{V. Citro} and \textit{R. D'Ambrosio}, Appl. Numer. Math. 150, 18--26 (2020; Zbl 1453.65015) Full Text: DOI
Zhang, Wei Theoretical and numerical analysis of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. (English) Zbl 1448.65012 Appl. Numer. Math. 147, 254-276 (2020). MSC: 65C30 45D05 PDFBibTeX XMLCite \textit{W. Zhang}, Appl. Numer. Math. 147, 254--276 (2020; Zbl 1448.65012) Full Text: DOI
Luo, Zhendong; Jiang, Wenrui A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions. (English) Zbl 1432.65141 Appl. Numer. Math. 147, 161-173 (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 65M38 65M22 65M15 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{W. Jiang}, Appl. Numer. Math. 147, 161--173 (2020; Zbl 1432.65141) Full Text: DOI
Zhang, Jun; Yang, Xiaofeng On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure. (English) Zbl 1428.65017 Appl. Numer. Math. 146, 13-37 (2019). MSC: 65M06 65L06 65M12 65M20 76A15 35Q35 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Yang}, Appl. Numer. Math. 146, 13--37 (2019; Zbl 1428.65017) Full Text: DOI
Zaky, Mahmoud A. Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems. (English) Zbl 1427.34021 Appl. Numer. Math. 145, 429-457 (2019). MSC: 34A08 34B15 65L03 PDFBibTeX XMLCite \textit{M. A. Zaky}, Appl. Numer. Math. 145, 429--457 (2019; Zbl 1427.34021) Full Text: DOI
Xie, Jinghua; Yi, Lijun An \(h\)-\(p\) version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations. (English) Zbl 1477.65125 Appl. Numer. Math. 143, 1-19 (2019). MSC: 65L60 65L03 65L05 65L20 PDFBibTeX XMLCite \textit{J. Xie} and \textit{L. Yi}, Appl. Numer. Math. 143, 1--19 (2019; Zbl 1477.65125) Full Text: DOI
Luo, Yongbing; Yang, Yanbing; Ahmed, Md Salik; Yu, Tao; Zhang, Mingyou; Wang, Ligang; Xu, Huichao Global existence and blow up of the solution for nonlinear Klein-Gordon equation with general power-type nonlinearities at three initial energy levels. (English) Zbl 1430.35158 Appl. Numer. Math. 141, 102-123 (2019). Reviewer: Denis Borisov (Ufa) MSC: 35L71 35B44 35L15 PDFBibTeX XMLCite \textit{Y. Luo} et al., Appl. Numer. Math. 141, 102--123 (2019; Zbl 1430.35158) Full Text: DOI
Davis, P. N.; van Heijster, P.; Marangell, R. Spectral stability of travelling wave solutions in a Keller-Segel model. (English) Zbl 1418.92016 Appl. Numer. Math. 141, 54-61 (2019). MSC: 92C17 35C07 35B35 35Q92 PDFBibTeX XMLCite \textit{P. N. Davis} et al., Appl. Numer. Math. 141, 54--61 (2019; Zbl 1418.92016) Full Text: DOI arXiv
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice A spectral method for stochastic fractional differential equations. (English) Zbl 1469.65026 Appl. Numer. Math. 139, 115-119 (2019). Reviewer: Michael Plum (Karlsruhe) MSC: 65C30 34A08 60H10 PDFBibTeX XMLCite \textit{A. Cardone} et al., Appl. Numer. Math. 139, 115--119 (2019; Zbl 1469.65026) Full Text: DOI
Fu, Hongfei; Sun, Yanan; Wang, Hong; Zheng, Xiangcheng Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equations. (English) Zbl 1411.65120 Appl. Numer. Math. 139, 38-51 (2019). MSC: 65M08 35R11 65F10 65M12 PDFBibTeX XMLCite \textit{H. Fu} et al., Appl. Numer. Math. 139, 38--51 (2019; Zbl 1411.65120) Full Text: DOI
Dunca, Argus A. Estimates of the discrete van Cittert deconvolution error in approximate deconvolution models of turbulence in bounded domains. (English) Zbl 1404.65230 Appl. Numer. Math. 134, 1-10 (2018). MSC: 65N15 65N30 35Q30 65D05 76F65 PDFBibTeX XMLCite \textit{A. A. Dunca}, Appl. Numer. Math. 134, 1--10 (2018; Zbl 1404.65230) Full Text: DOI
Guo, Qian; Liu, Wei; Mao, Xuerong A note on the partially truncated Euler-Maruyama method. (English) Zbl 1397.65017 Appl. Numer. Math. 130, 157-170 (2018). MSC: 65C30 PDFBibTeX XMLCite \textit{Q. Guo} et al., Appl. Numer. Math. 130, 157--170 (2018; Zbl 1397.65017) Full Text: DOI
Ji, Haifeng; Chen, Jinru; Li, Zhilin A high-order source removal finite element method for a class of elliptic interface problems. (English) Zbl 1397.65270 Appl. Numer. Math. 130, 112-130 (2018). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{H. Ji} et al., Appl. Numer. Math. 130, 112--130 (2018; Zbl 1397.65270) Full Text: DOI
Hong, Jialin; Huang, Chuying; Wang, Xu Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths. (English) Zbl 06865801 Appl. Numer. Math. 129, 120-136 (2018). MSC: 65C30 PDFBibTeX XMLCite \textit{J. Hong} et al., Appl. Numer. Math. 129, 120--136 (2018; Zbl 06865801) Full Text: DOI arXiv
Ta, Thi Thanh Mai; Le, Van Chien; Pham, Ha Thanh Corrigendum to: “Shape optimization for Stokes flows using sensitivity analysis and finite element method”. (English) Zbl 1466.65204 Appl. Numer. Math. 129, 192 (2018). MSC: 65N30 76D07 49Q10 49Q12 76M10 PDFBibTeX XMLCite \textit{T. T. M. Ta} et al., Appl. Numer. Math. 129, 192 (2018; Zbl 1466.65204) Full Text: DOI