Xing, Xin; Lin, Lin Finite-size effects in periodic coupled cluster calculations. (English) Zbl 07811340 J. Comput. Phys. 500, Article ID 112755, 36 p. (2024). MSC: 65Nxx 81Vxx 35Axx PDFBibTeX XMLCite \textit{X. Xing} and \textit{L. Lin}, J. Comput. Phys. 500, Article ID 112755, 36 p. (2024; Zbl 07811340) Full Text: DOI arXiv
Qian, Yanxia; Zhang, Yongchao; Huang, Yunqing; Dong, Suchuan Physics-informed neural networks for approximating dynamic (hyperbolic) PDEs of second order in time: error analysis and algorithms. (English) Zbl 07766245 J. Comput. Phys. 495, Article ID 112527, 30 p. (2023). MSC: 65M12 PDFBibTeX XMLCite \textit{Y. Qian} et al., J. Comput. Phys. 495, Article ID 112527, 30 p. (2023; Zbl 07766245) Full Text: DOI arXiv
Wang, Zhongjian; Zhang, Wenlong; Zhang, Zhiwen A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. (English) Zbl 07690228 J. Comput. Phys. 487, Article ID 112156, 15 p. (2023). MSC: 65Mxx 35Rxx 65Nxx PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Phys. 487, Article ID 112156, 15 p. (2023; Zbl 07690228) Full Text: DOI arXiv
Li, Hanyu; Wheeler, Mary F. Dynamic local coupling for multiphase flow: a compromise between efficiency and stability. (English) Zbl 07592138 J. Comput. Phys. 469, Article ID 111535, 14 p. (2022). MSC: 65Nxx 35Jxx 35Bxx PDFBibTeX XMLCite \textit{H. Li} and \textit{M. F. Wheeler}, J. Comput. Phys. 469, Article ID 111535, 14 p. (2022; Zbl 07592138) Full Text: DOI
Zhang, Yanrong; Shen, Jie A generalized SAV approach with relaxation for dissipative systems. (English) Zbl 07540356 J. Comput. Phys. 464, Article ID 111311, 23 p. (2022). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{J. Shen}, J. Comput. Phys. 464, Article ID 111311, 23 p. (2022; Zbl 07540356) Full Text: DOI arXiv
Sun, Jiawei; Shu, Chi-Wang; Xing, Yulong Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. (English) Zbl 07525174 J. Comput. Phys. 461, Article ID 111199, 30 p. (2022). MSC: 65Mxx 60Hxx 35Qxx PDFBibTeX XMLCite \textit{J. Sun} et al., J. Comput. Phys. 461, Article ID 111199, 30 p. (2022; Zbl 07525174) Full Text: DOI arXiv
Nan, Caixia; Song, Huailing The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation. (English) Zbl 07518106 J. Comput. Phys. 456, Article ID 111028, 19 p. (2022). MSC: 65Mxx 65Lxx 35Qxx PDFBibTeX XMLCite \textit{C. Nan} and \textit{H. Song}, J. Comput. Phys. 456, Article ID 111028, 19 p. (2022; Zbl 07518106) Full Text: DOI
Fu, Shubin; Chung, Eric T.; Li, Guanglian An edge multiscale interior penalty discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber. (English) Zbl 07513813 J. Comput. Phys. 441, Article ID 110387, 27 p. (2021). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{S. Fu} et al., J. Comput. Phys. 441, Article ID 110387, 27 p. (2021; Zbl 07513813) Full Text: DOI
Hu, Jiuhua; Li, Guanglian Homogenization of time-fractional diffusion equations with periodic coefficients. (English) Zbl 07505599 J. Comput. Phys. 408, Article ID 109231, 15 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Hu} and \textit{G. Li}, J. Comput. Phys. 408, Article ID 109231, 15 p. (2020; Zbl 07505599) Full Text: DOI arXiv
Zhang, Hui; Jiang, Xiaoyun; Zeng, Fanhai; Karniadakis, George Em A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. (English) Zbl 1453.65370 J. Comput. Phys. 405, Article ID 109141, 17 p. (2020). MSC: 65M70 65M15 35R11 65M12 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Comput. Phys. 405, Article ID 109141, 17 p. (2020; Zbl 1453.65370) Full Text: DOI arXiv
Li, Xiaole; Sun, Weizhou; Xing, Yulong; Chou, Ching-Shan Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation. (English) Zbl 1453.65334 J. Comput. Phys. 401, Article ID 109002, 25 p. (2020). MSC: 65M60 65M15 35C08 PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 401, Article ID 109002, 25 p. (2020; Zbl 1453.65334) Full Text: DOI
Liao, Hong-lin; Tang, Tao; Zhou, Tao A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. (English) Zbl 1440.65116 J. Comput. Phys. 414, Article ID 109473, 15 p. (2020). MSC: 65M22 35R11 65M50 65M15 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., J. Comput. Phys. 414, Article ID 109473, 15 p. (2020; Zbl 1440.65116) Full Text: DOI arXiv
Zhang, Tie; Zhang, Shangyou The weak Galerkin finite element method for the transport-reaction equation. (English) Zbl 1436.65193 J. Comput. Phys. 410, Article ID 109399, 12 p. (2020). MSC: 65N30 65N15 35Q49 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{S. Zhang}, J. Comput. Phys. 410, Article ID 109399, 12 p. (2020; Zbl 1436.65193) Full Text: DOI arXiv
Droniou, Jérôme; Medla, Matej; Mikula, Karol Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. (English) Zbl 1453.65389 J. Comput. Phys. 398, Article ID 108876, 28 p. (2019). MSC: 65N08 65N15 35J05 86A04 PDFBibTeX XMLCite \textit{J. Droniou} et al., J. Comput. Phys. 398, Article ID 108876, 28 p. (2019; Zbl 1453.65389) Full Text: DOI arXiv
Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam’s device. (English) Zbl 1416.76205 J. Comput. Phys. 376, 786-816 (2019). MSC: 76M25 65M60 65M12 76D05 PDFBibTeX XMLCite \textit{L. Botti} et al., J. Comput. Phys. 376, 786--816 (2019; Zbl 1416.76205) Full Text: DOI
Zhang, Tie; Guo, Qingxin The finite difference/finite volume method for solving the fractional diffusion equation. (English) Zbl 1416.65301 J. Comput. Phys. 375, 120-134 (2018). MSC: 65M08 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Q. Guo}, J. Comput. Phys. 375, 120--134 (2018; Zbl 1416.65301) Full Text: DOI
Rao, Kaustubh; Malan, Paul; Perot, J. Blair A stopping criterion for the iterative solution of partial differential equations. (English) Zbl 1378.65100 J. Comput. Phys. 352, 265-284 (2018). MSC: 65G99 65Y20 76D05 PDFBibTeX XMLCite \textit{K. Rao} et al., J. Comput. Phys. 352, 265--284 (2018; Zbl 1378.65100) Full Text: DOI
Rider, William; Witkowski, Walt; Kamm, James R.; Wildey, Tim Robust verification analysis. (English) Zbl 1352.65137 J. Comput. Phys. 307, 146-163 (2016). MSC: 65G20 PDFBibTeX XMLCite \textit{W. Rider} et al., J. Comput. Phys. 307, 146--163 (2016; Zbl 1352.65137) Full Text: DOI
Chen, Hu; Lü, Shujuan; Chen, Wenping Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain. (English) Zbl 1349.65507 J. Comput. Phys. 315, 84-97 (2016). MSC: 65M70 65M15 35R11 35K57 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Phys. 315, 84--97 (2016; Zbl 1349.65507) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi The Galerkin finite element method for a multi-term time-fractional diffusion equation. (English) Zbl 1352.65350 J. Comput. Phys. 281, 825-843 (2015). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{B. Jin} et al., J. Comput. Phys. 281, 825--843 (2015; Zbl 1352.65350) Full Text: DOI arXiv
Wang, Hong; Zhang, Xuhao A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations. (English) Zbl 1352.65211 J. Comput. Phys. 281, 67-81 (2015). MSC: 65L60 34A08 65L10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Zhang}, J. Comput. Phys. 281, 67--81 (2015; Zbl 1352.65211) Full Text: DOI
Fan, Li; Monk, Peter Time dependent scattering from a grating. (English) Zbl 1349.78042 J. Comput. Phys. 302, 97-113 (2015). MSC: 78A45 78M10 65M15 65M60 PDFBibTeX XMLCite \textit{L. Fan} and \textit{P. Monk}, J. Comput. Phys. 302, 97--113 (2015; Zbl 1349.78042) Full Text: DOI arXiv
Chung, Eric T.; Efendiev, Yalchin; Li, Guanglian An adaptive GMsFEM for high-contrast flow problems. (English) Zbl 1354.65242 J. Comput. Phys. 273, 54-76 (2014). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{E. T. Chung} et al., J. Comput. Phys. 273, 54--76 (2014; Zbl 1354.65242) Full Text: DOI arXiv
Chou, Ching-Shan; Shu, Chi-Wang; Xing, Yulong Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. (English) Zbl 1349.65446 J. Comput. Phys. 272, 88-107 (2014). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{C.-S. Chou} et al., J. Comput. Phys. 272, 88--107 (2014; Zbl 1349.65446) Full Text: DOI
Liang, Dong; Du, Chuanbin The efficient S-DDM scheme and its analysis for solving parabolic equations. (English) Zbl 1349.76499 J. Comput. Phys. 272, 46-69 (2014). MSC: 76M20 65M06 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{D. Liang} and \textit{C. Du}, J. Comput. Phys. 272, 46--69 (2014; Zbl 1349.76499) Full Text: DOI
Wang, Kun; Wong, Yau Shu Error correction method for Navier-Stokes equations at high Reynolds numbers. (English) Zbl 1349.76281 J. Comput. Phys. 255, 245-265 (2013). MSC: 76M10 65N30 65N15 65N22 76D05 PDFBibTeX XMLCite \textit{K. Wang} and \textit{Y. S. Wong}, J. Comput. Phys. 255, 245--265 (2013; Zbl 1349.76281) Full Text: DOI
He, Yinnian; Li, Jian Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations. (English) Zbl 1284.35314 J. Comput. Phys. 231, No. 20, 6790-6800 (2012). MSC: 35Q30 65M12 65N12 PDFBibTeX XMLCite \textit{Y. He} and \textit{J. Li}, J. Comput. Phys. 231, No. 20, 6790--6800 (2012; Zbl 1284.35314) Full Text: DOI
Rosić, Bojana V.; Litvinenko, Alexander; Pajonk, Oliver; Matthies, Hermann G. Sampling-free linear Bayesian update of polynomial chaos representations. (English) Zbl 1277.60114 J. Comput. Phys. 231, No. 17, 5761-5787 (2012). MSC: 60H35 60H40 65C05 65N21 PDFBibTeX XMLCite \textit{B. V. Rosić} et al., J. Comput. Phys. 231, No. 17, 5761--5787 (2012; Zbl 1277.60114) Full Text: DOI
Zhao, Xuan; Sun, Zhi-Zhong A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. (English) Zbl 1227.65075 J. Comput. Phys. 230, No. 15, 6061-6074 (2011). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M06 65M15 65M12 35R11 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Z.-Z. Sun}, J. Comput. Phys. 230, No. 15, 6061--6074 (2011; Zbl 1227.65075) Full Text: DOI
Coupez, T. Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing. (English) Zbl 1218.65139 J. Comput. Phys. 230, No. 7, 2391-2405 (2011). MSC: 65N50 65N15 PDFBibTeX XMLCite \textit{T. Coupez}, J. Comput. Phys. 230, No. 7, 2391--2405 (2011; Zbl 1218.65139) Full Text: DOI
Loseille, A.; Dervieux, A.; Alauzet, F. Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations. (English) Zbl 1307.76060 J. Comput. Phys. 229, No. 8, 2866-2897 (2010). MSC: 76M25 65N50 PDFBibTeX XMLCite \textit{A. Loseille} et al., J. Comput. Phys. 229, No. 8, 2866--2897 (2010; Zbl 1307.76060) Full Text: DOI
Ketcheson, David I. Runge-Kutta methods with minimum storage implementations. (English) Zbl 1183.65093 J. Comput. Phys. 229, No. 5, 1763-1773 (2010). MSC: 65L06 65L05 34A34 65M20 65L70 35K55 PDFBibTeX XMLCite \textit{D. I. Ketcheson}, J. Comput. Phys. 229, No. 5, 1763--1773 (2010; Zbl 1183.65093) Full Text: DOI
Wen, Xin High order numerical methods to two dimensional delta function integrals in level set methods. (English) Zbl 1167.65008 J. Comput. Phys. 228, No. 11, 4273-4290 (2009). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D15 46F10 PDFBibTeX XMLCite \textit{X. Wen}, J. Comput. Phys. 228, No. 11, 4273--4290 (2009; Zbl 1167.65008) Full Text: DOI
Yamaleev, Nail K.; Carpenter, Mark H. Third-order energy stable WENO scheme. (English) Zbl 1165.65381 J. Comput. Phys. 228, No. 8, 3025-3047 (2009). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{N. K. Yamaleev} and \textit{M. H. Carpenter}, J. Comput. Phys. 228, No. 8, 3025--3047 (2009; Zbl 1165.65381) Full Text: DOI
Alauzet, F.; Frey, P. J.; George, P. L.; Mohammadi, B. 3D transient fixed point mesh adaptation for time-dependent problems: Application to CFD simulations. (English) Zbl 1158.76388 J. Comput. Phys. 222, No. 2, 592-623 (2007). MSC: 76M25 65M50 PDFBibTeX XMLCite \textit{F. Alauzet} et al., J. Comput. Phys. 222, No. 2, 592--623 (2007; Zbl 1158.76388) Full Text: DOI
Wells, Garth N.; Kuhl, Ellen; Garikipati, Krishna A discontinuous Galerkin method for the Cahn-Hilliard equation. (English) Zbl 1106.65086 J. Comput. Phys. 218, No. 2, 860-877 (2006). MSC: 65M60 65M12 65M15 35K55 35Q72 PDFBibTeX XMLCite \textit{G. N. Wells} et al., J. Comput. Phys. 218, No. 2, 860--877 (2006; Zbl 1106.65086) Full Text: DOI
Yuan, Ling; Shu, Chi-Wang Discontinuous Galerkin method based on non-polynomial approximation spaces. (English) Zbl 1104.65094 J. Comput. Phys. 218, No. 1, 295-323 (2006). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M60 65M15 35K15 PDFBibTeX XMLCite \textit{L. Yuan} and \textit{C.-W. Shu}, J. Comput. Phys. 218, No. 1, 295--323 (2006; Zbl 1104.65094) Full Text: DOI
Samaey, Giovanni; Kevrekidis, Ioannis G.; Roose, Dirk Patch dynamics with buffers for homogenization problems. (English) Zbl 1092.65074 J. Comput. Phys. 213, No. 1, 264-287 (2006). Reviewer: Natesan Srinivasan (Assam) MSC: 65M06 35B27 35K15 65M15 PDFBibTeX XMLCite \textit{G. Samaey} et al., J. Comput. Phys. 213, No. 1, 264--287 (2006; Zbl 1092.65074) Full Text: DOI arXiv
Cockburn, Bernardo; Yenikaya, Bayram An adaptive method with rigorous error control for the Hamilton–Jacobi equations. II: The two-dimensional steady-state case. (English) Zbl 1074.65101 J. Comput. Phys. 209, No. 2, 391-405 (2005). MSC: 65M06 65M15 35L60 65M12 49L25 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{B. Yenikaya}, J. Comput. Phys. 209, No. 2, 391--405 (2005; Zbl 1074.65101) Full Text: DOI
Huang, Weizhang; Sun, Weiwei Variational mesh adaptation. II: Error estimates and monitor functions. (English) Zbl 1018.65140 J. Comput. Phys. 184, No. 2, 619-648 (2003). MSC: 65N50 65N15 65N30 PDFBibTeX XMLCite \textit{W. Huang} and \textit{W. Sun}, J. Comput. Phys. 184, No. 2, 619--648 (2003; Zbl 1018.65140) Full Text: DOI
Cao, Weiming; Huang, Weizhang; Russell, Robert D. An error indicator monitor function for an \(r\)-adaptive finite-element method. (English) Zbl 0986.65082 J. Comput. Phys. 170, No. 2, 871-892 (2001). MSC: 65M15 65M50 65M60 35K15 PDFBibTeX XMLCite \textit{W. Cao} et al., J. Comput. Phys. 170, No. 2, 871--892 (2001; Zbl 0986.65082) Full Text: DOI
Oden, J. Tinsley; Vemaganti, Kumar S. Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms. (English) Zbl 0992.74072 J. Comput. Phys. 164, No. 1, 22-47 (2000). MSC: 74S05 74E05 74B05 PDFBibTeX XMLCite \textit{J. T. Oden} and \textit{K. S. Vemaganti}, J. Comput. Phys. 164, No. 1, 22--47 (2000; Zbl 0992.74072) Full Text: DOI
Shen, Jie On fast direct Poisson solver, inf-sup constant and iterative Stokes solver by Legendre-Galerkin method. (English) Zbl 0822.65083 J. Comput. Phys. 116, No. 1, 184-188 (1995). Reviewer: A.Marciniak (Poznań) MSC: 65N30 65F10 65F05 65N15 35J05 35Q30 PDFBibTeX XMLCite \textit{J. Shen}, J. Comput. Phys. 116, No. 1, 184--188 (1995; Zbl 0822.65083) Full Text: DOI
Eisen, Henner; Heinrichs, Wilhelm; Witsch, Kristian Spectral collocation methods and polar coordinate singularities. (English) Zbl 0731.65095 J. Comput. Phys. 96, No. 2, 241-257 (1991). Reviewer: H.Schmitz (Heidelberg) MSC: 65N35 65N15 35J05 35J25 PDFBibTeX XMLCite \textit{H. Eisen} et al., J. Comput. Phys. 96, No. 2, 241--257 (1991; Zbl 0731.65095) Full Text: DOI
Jarratt, Mary; Lund, John; Bowers, Kenneth L. Galerkin schemes and the sinc-Galerkin method for singular Sturm- Liouville problems. (English) Zbl 0702.65078 J. Comput. Phys. 89, No. 1, 41-62 (1990). Reviewer: V.V.B.Burjan MSC: 65L15 65L60 65L70 34B24 34L05 PDFBibTeX XMLCite \textit{M. Jarratt} et al., J. Comput. Phys. 89, No. 1, 41--62 (1990; Zbl 0702.65078) Full Text: DOI
Li, Zi-Cai A nonconforming combination for solving elliptic problems with interfaces. (English) Zbl 0694.65053 J. Comput. Phys. 80, No. 2, 288-313 (1989). Reviewer: V.V.Vasil’ev MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Z.-C. Li}, J. Comput. Phys. 80, No. 2, 288--313 (1989; Zbl 0694.65053) Full Text: DOI
Van Dooren, R.; Janssen, H. Periodic doubling solutions in the Duffing oscillator: A Galerkin approach. (English) Zbl 0672.65048 J. Comput. Phys. 82, No. 1, 161-171 (1989). Reviewer: D.A.Quinney MSC: 65L05 34A12 37D45 65J99 65L60 PDFBibTeX XMLCite \textit{R. Van Dooren} and \textit{H. Janssen}, J. Comput. Phys. 82, No. 1, 161--171 (1989; Zbl 0672.65048) Full Text: DOI
Skamarock, William; Oliger, Joseph; Street, Robert L. Adaptive grid refinement for numerical wather prediction. (English) Zbl 0661.76021 J. Comput. Phys. 80, No. 1, 27-60 (1989). MSC: 76B60 86A10 86A99 PDFBibTeX XMLCite \textit{W. Skamarock} et al., J. Comput. Phys. 80, No. 1, 27--60 (1989; Zbl 0661.76021) Full Text: DOI
Pryce, J. D. Error estimation for a class of differential eigenproblems. (English) Zbl 0633.65085 J. Comput. Phys. 69, 252-257 (1987). Reviewer: J.B.Butler jun. MSC: 65L15 34B15 34L99 PDFBibTeX XMLCite \textit{J. D. Pryce}, J. Comput. Phys. 69, 252--257 (1987; Zbl 0633.65085) Full Text: DOI
Barnett, A. R. Continued-fraction evaluation of Coulomb functions \(F_\lambda(\eta,x)\), \(G_\lambda(\eta,x)\) and their derivatives. (English) Zbl 0482.65012 J. Comput. Phys. 46, 171-188 (1982). MSC: 65D20 33C10 PDFBibTeX XMLCite \textit{A. R. Barnett}, J. Comput. Phys. 46, 171--188 (1982; Zbl 0482.65012) Full Text: DOI
Moler, Cleve B.; Stewart, G. W. On the Householder Fox algorithm for decomposing a projection. (English) Zbl 0395.65009 J. Comput. Phys. 28, 82-91 (1978). MSC: 65F30 65G50 65F15 65F25 PDFBibTeX XMLCite \textit{C. B. Moler} and \textit{G. W. Stewart}, J. Comput. Phys. 28, 82--91 (1978; Zbl 0395.65009) Full Text: DOI