Basarić, Danica; Lukáčová-Medviďová, Mária; Mizerová, Hana; She, Bangwei; Yuan, Yuhuan Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system. (English) Zbl 1523.65075 Math. Comput. 92, No. 344, 2543-2574 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 65M15 76N06 35A01 35A02 35B45 35D35 PDFBibTeX XMLCite \textit{D. Basarić} et al., Math. Comput. 92, No. 344, 2543--2574 (2023; Zbl 1523.65075) Full Text: DOI arXiv
Wang, Haijin; Li, Fengyan; Shu, Chi-Wang; Zhang, Qiang Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. (English) Zbl 07729920 Math. Comput. 92, No. 344, 2475-2513 (2023). MSC: 65M60 65M06 65N30 65M12 PDFBibTeX XMLCite \textit{H. Wang} et al., Math. Comput. 92, No. 344, 2475--2513 (2023; Zbl 07729920) Full Text: DOI
Barucq, Hélène; Rouxelin, Nathan; Tordeux, Sébastien Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation. (English) Zbl 1515.65284 Math. Comput. 92, No. 343, 2097-2131 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N12 65N15 35J05 35A01 35A02 76Q05 76M10 PDFBibTeX XMLCite \textit{H. Barucq} et al., Math. Comput. 92, No. 343, 2097--2131 (2023; Zbl 1515.65284) Full Text: DOI
Cheng, Yao; Jiang, Shan; Stynes, Martin Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem. (English) Zbl 1515.65286 Math. Comput. 92, No. 343, 2065-2095 (2023). MSC: 65N30 65N50 65N15 65N12 35B25 35J25 PDFBibTeX XMLCite \textit{Y. Cheng} et al., Math. Comput. 92, No. 343, 2065--2095 (2023; Zbl 1515.65286) Full Text: DOI arXiv
Liu, Xin-Wei; Dai, Yu-Hong; Huang, Ya-Kui; Sun, Jie A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints. (English) Zbl 1512.90178 Math. Comput. 92, No. 341, 1301-1330 (2023). MSC: 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{X.-W. Liu} et al., Math. Comput. 92, No. 341, 1301--1330 (2023; Zbl 1512.90178) Full Text: DOI arXiv
Abdulle, Assyr; Grote, Marcus J.; De Souza, Giacomo Rosilho Explicit stabilized multirate method for stiff differential equations. (English) Zbl 1500.65034 Math. Comput. 91, No. 338, 2681-2714 (2022). MSC: 65L04 65L06 65L20 PDFBibTeX XMLCite \textit{A. Abdulle} et al., Math. Comput. 91, No. 338, 2681--2714 (2022; Zbl 1500.65034) Full Text: DOI arXiv
Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus Time domain boundary integral equations and convolution quadrature for scattering by composite media. (English) Zbl 1500.65055 Math. Comput. 91, No. 337, 2165-2195 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M38 65M60 65L06 65N38 65N30 65R20 65M15 65M12 35A01 35A02 35B45 76Q05 35Q35 PDFBibTeX XMLCite \textit{A. Rieder} et al., Math. Comput. 91, No. 337, 2165--2195 (2022; Zbl 1500.65055) Full Text: DOI arXiv
Maier, Roland; Verfürth, Barbara Multiscale scattering in nonlinear Kerr-type media. (English) Zbl 1491.65148 Math. Comput. 91, No. 336, 1655-1685 (2022). MSC: 65N30 65N12 35G30 35J05 35A01 35A02 35B45 78A60 35Q60 PDFBibTeX XMLCite \textit{R. Maier} and \textit{B. Verfürth}, Math. Comput. 91, No. 336, 1655--1685 (2022; Zbl 1491.65148) Full Text: DOI arXiv Link
Li, Xiaoyue; Mao, Xuerong; Yang, Hongfu Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. (English) Zbl 1481.65022 Math. Comput. 90, No. 332, 2827-2872 (2021). MSC: 65C30 60H35 PDFBibTeX XMLCite \textit{X. Li} et al., Math. Comput. 90, No. 332, 2827--2872 (2021; Zbl 1481.65022) Full Text: DOI arXiv
Dong, Heping; Lai, Jun; Li, Peijun A highly accurate boundary integral method for the elastic obstacle scattering problem. (English) Zbl 1479.65035 Math. Comput. 90, No. 332, 2785-2814 (2021). MSC: 65N38 65N35 65N80 65T40 65R20 45L05 45P05 74J20 74B10 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{H. Dong} et al., Math. Comput. 90, No. 332, 2785--2814 (2021; Zbl 1479.65035) Full Text: DOI arXiv
Liu, Chun; Wang, Cheng; Wise, Steven M.; Yue, Xingye; Zhou, Shenggao A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. (English) Zbl 1480.65213 Math. Comput. 90, No. 331, 2071-2106 (2021). MSC: 65M06 65M12 35C20 35K35 35K55 35A01 35B09 49J40 78A57 35Q60 PDFBibTeX XMLCite \textit{C. Liu} et al., Math. Comput. 90, No. 331, 2071--2106 (2021; Zbl 1480.65213) Full Text: DOI arXiv
Cancès, Clément; Nabet, Flore; Vohralík, Martin Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. (English) Zbl 1456.65105 Math. Comput. 90, No. 328, 517-563 (2021). MSC: 65M60 65M06 65M12 35K65 65M15 35Q84 PDFBibTeX XMLCite \textit{C. Cancès} et al., Math. Comput. 90, No. 328, 517--563 (2021; Zbl 1456.65105) Full Text: DOI HAL
Li, Jia; Zhang, Dazhi; Meng, Xiong; Wu, Boying Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations. (English) Zbl 1442.65381 Math. Comput. 89, No. 325, 2085-2111 (2020). MSC: 65N30 65L06 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Comput. 89, No. 325, 2085--2111 (2020; Zbl 1442.65381) Full Text: DOI
Wang, Haijin; Liu, Yunxian; Zhang, Qiang; Shu, Chi-Wang Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. (English) Zbl 1405.65129 Math. Comput. 88, No. 315, 91-121 (2019). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M12 65M15 76D07 65M06 35Q35 76D05 PDFBibTeX XMLCite \textit{H. Wang} et al., Math. Comput. 88, No. 315, 91--121 (2019; Zbl 1405.65129) Full Text: DOI
Lehoucq, R. B.; Narcowich, F. J.; Rowe, S. T.; Ward, J. D. A meshless Galerkin method for non-local diffusion using localized kernel bases. (English) Zbl 1397.65277 Math. Comput. 87, No. 313, 2233-2258 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 45P05 47G10 65K10 41A30 41A63 PDFBibTeX XMLCite \textit{R. B. Lehoucq} et al., Math. Comput. 87, No. 313, 2233--2258 (2018; Zbl 1397.65277) Full Text: DOI arXiv
Gould, N.; Ortner, C.; Packwood, D. A dimer-type saddle search algorithm with preconditioning and linesearch. (English) Zbl 1344.65054 Math. Comput. 85, No. 302, 2939-2966 (2016). MSC: 65K05 90C06 65F08 90C05 PDFBibTeX XMLCite \textit{N. Gould} et al., Math. Comput. 85, No. 302, 2939--2966 (2016; Zbl 1344.65054) Full Text: DOI arXiv Link
Cao, Waixiang; Zhang, Zhimin Superconvergence of local discontinuous Galerkin methods for one-dimensional linear parabolic equations. (English) Zbl 1327.65191 Math. Comput. 85, No. 297, 63-84 (2016). MSC: 65M60 65M12 65M15 35K20 PDFBibTeX XMLCite \textit{W. Cao} and \textit{Z. Zhang}, Math. Comput. 85, No. 297, 63--84 (2016; Zbl 1327.65191) Full Text: DOI arXiv
Chen, Zhongying; Xu, Yuesheng; Zhang, Yuanyuan A construction of higher-order finite volume methods. (English) Zbl 1307.65144 Math. Comput. 84, No. 292, 599-628 (2015). MSC: 65N08 65N12 35J25 PDFBibTeX XMLCite \textit{Z. Chen} et al., Math. Comput. 84, No. 292, 599--628 (2015; Zbl 1307.65144) Full Text: DOI
Fan, Jinyan Accelerating the modified Levenberg-Marquardt method for nonlinear equations. (English) Zbl 1296.65077 Math. Comput. 83, No. 287, 1173-1187 (2014). Reviewer: Zhen Mei (Toronto) MSC: 65H10 PDFBibTeX XMLCite \textit{J. Fan}, Math. Comput. 83, No. 287, 1173--1187 (2014; Zbl 1296.65077) Full Text: DOI
Lin, Qun; Xie, Hehu; Xu, Jinchao Lower bounds of the discretization error for piecewise polynomials. (English) Zbl 1280.65118 Math. Comput. 83, No. 285, 1-13 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65N15 65N30 65N25 35J57 35J58 35P15 PDFBibTeX XMLCite \textit{Q. Lin} et al., Math. Comput. 83, No. 285, 1--13 (2014; Zbl 1280.65118) Full Text: DOI arXiv
Feng, Xiaobing; Xing, Yulong Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. (English) Zbl 1276.65080 Math. Comput. 82, No. 283, 1269-1296 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{X. Feng} and \textit{Y. Xing}, Math. Comput. 82, No. 283, 1269--1296 (2013; Zbl 1276.65080) Full Text: DOI arXiv
Fan, Jinyan The modified Levenberg-Marquardt method for nonlinear equations with cubic convergence. (English) Zbl 1242.65103 Math. Comput. 81, No. 277, 447-466 (2012). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65H10 PDFBibTeX XMLCite \textit{J. Fan}, Math. Comput. 81, No. 277, 447--466 (2012; Zbl 1242.65103) Full Text: DOI
Gatica, Gabriel N.; Heuer, Norbert; Sayas, Francisco-Javier A direct coupling of local discontinuous Galerkin and boundary element methods. (English) Zbl 1208.65166 Math. Comput. 79, No. 271, 1369-1394 (2010). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 65N38 65N12 65N15 35J05 35J66 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Math. Comput. 79, No. 271, 1369--1394 (2010; Zbl 1208.65166) Full Text: DOI
Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei Integral deferred correction methods constructed with high order Runge-Kutta integrators. (English) Zbl 1209.65073 Math. Comput. 79, No. 270, 761-783 (2010). Reviewer: Josep J. Masdemont (Barcelona) MSC: 65L06 34A34 65L20 65L05 65L70 PDFBibTeX XMLCite \textit{A. Christlieb} et al., Math. Comput. 79, No. 270, 761--783 (2010; Zbl 1209.65073) Full Text: DOI
Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. An \(hp\)-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. (English) Zbl 1147.65093 Math. Comput. 77, No. 262, 731-756 (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 65N30 65N12 65N15 35J65 PDFBibTeX XMLCite \textit{T. Gudi} et al., Math. Comput. 77, No. 262, 731--756 (2008; Zbl 1147.65093) Full Text: DOI
Gatica, Gabriel N.; Sayas, Francisco-Javier An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods. (English) Zbl 1112.65110 Math. Comput. 75, No. 256, 1675-1696 (2006). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N15 65N30 65N38 65N12 35J05 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{F.-J. Sayas}, Math. Comput. 75, No. 256, 1675--1696 (2006; Zbl 1112.65110) Full Text: DOI
Alonso-Mallo, I.; Cano, B.; Jorge, J. C. Spectral-fractional step Runge-Kutta discretizations for initial boundary value problems with time dependent boundary conditions. (English) Zbl 1052.65083 Math. Comput. 73, No. 248, 1801-1825 (2004). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 65M60 65M12 65L06 65M15 35K15 PDFBibTeX XMLCite \textit{I. Alonso-Mallo} et al., Math. Comput. 73, No. 248, 1801--1825 (2004; Zbl 1052.65083) Full Text: DOI
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. Local problems on stars: A posteriori error estimators, convergence, and performance. (English) Zbl 1019.65083 Math. Comput. 72, No. 243, 1067-1097 (2003). Reviewer: Ll.G.Chambers (Bangor) MSC: 65N15 65N12 65N30 65N50 35J05 65Y20 PDFBibTeX XMLCite \textit{P. Morin} et al., Math. Comput. 72, No. 243, 1067--1097 (2003; Zbl 1019.65083) Full Text: DOI
Krejic, Natasa; Luzanin, Zorana Newton-like method with modification of the right-hand-side vector. (English) Zbl 0985.65050 Math. Comput. 71, No. 237, 237-250 (2002). Reviewer: Vasile Berinde (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{N. Krejic} and \textit{Z. Luzanin}, Math. Comput. 71, No. 237, 237--250 (2002; Zbl 0985.65050) Full Text: DOI
Liu, Jian-Guo; Xin, Zhouping Convergence of the point vortex method for 2-D vortex sheet. (English) Zbl 0977.76069 Math. Comput. 70, No. 234, 595-606 (2001). MSC: 76M23 76B47 65M12 PDFBibTeX XMLCite \textit{J.-G. Liu} and \textit{Z. Xin}, Math. Comput. 70, No. 234, 595--606 (2001; Zbl 0977.76069) Full Text: DOI
Morini, Benedetta Convergence behaviour of inexact Newton methods. (English) Zbl 0933.65050 Math. Comput. 68, No. 228, 1605-1613 (1999). Reviewer: V.Berinde (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{B. Morini}, Math. Comput. 68, No. 228, 1605--1613 (1999; Zbl 0933.65050) Full Text: DOI
Shoji, Isao Approximation of continuous time stochastic processes by a local linearization method. (English) Zbl 0895.65069 Math. Comput. 67, No. 221, 287-298 (1998). Reviewer: M.D.Lax (Long Beach) MSC: 65C99 60H10 65L06 34F05 PDFBibTeX XMLCite \textit{I. Shoji}, Math. Comput. 67, No. 221, 287--298 (1998; Zbl 0895.65069) Full Text: DOI
Guo, Wen; Stynes, Martin An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem. (English) Zbl 0854.65082 Math. Comput. 66, No. 217, 105-124 (1997). MSC: 65M60 65M12 76M25 PDFBibTeX XMLCite \textit{W. Guo} and \textit{M. Stynes}, Math. Comput. 66, No. 217, 105--124 (1997; Zbl 0854.65082) Full Text: DOI
Papakostas, S. N.; Papageorgiou, G. A family of fifth-order Runge-Kutta pairs. (English) Zbl 0938.65098 Math. Comput. 65, No. 215, 1165-1181 (1996). MSC: 65L06 65L05 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{S. N. Papakostas} and \textit{G. Papageorgiou}, Math. Comput. 65, No. 215, 1165--1181 (1996; Zbl 0938.65098) Full Text: DOI
Martínez, José Mario On the relation between two local convergence theories of least-change secant update methods. (English) Zbl 0767.65043 Math. Comput. 59, No. 200, 457-481 (1992). Reviewer: H.T.Lau (Verdun / Quebec) MSC: 65H10 PDFBibTeX XMLCite \textit{J. M. Martínez}, Math. Comput. 59, No. 200, 457--481 (1992; Zbl 0767.65043) Full Text: DOI
Elliott, Charles M.; Larsson, Stig Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation. (English) Zbl 0762.65075 Math. Comput. 58, No. 198, 603-630, S33-S36 (1992). Reviewer: O.Titow (Berlin) MSC: 65Z05 65M60 65M15 35Q58 37C70 PDFBibTeX XMLCite \textit{C. M. Elliott} and \textit{S. Larsson}, Math. Comput. 58, No. 198, 603--630, S33--S36 (1992; Zbl 0762.65075) Full Text: DOI
Nochetto, R. H.; Paolini, M.; Verdi, C. An adaptive finite element method for two-phase Stefan problems in two space dimensions. I: Stability and error estimates. (English) Zbl 0733.65087 Math. Comput. 57, No. 195, 73-108 (1991); Supplement S1-S11 (1991). Reviewer: E.Krause (Aachen) MSC: 65Z05 65M60 65M12 65M15 35K15 35R35 65M50 80A22 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Math. Comput. 57, No. 195, 73--108 (1991; Zbl 0733.65087) Full Text: DOI
Martínez, José Mario Local convergence theory of inexact Newton methods based on structured least change updates. (English) Zbl 0707.65031 Math. Comput. 55, No. 191, 143-167 (1990). Reviewer: H.Matthies MSC: 65H10 PDFBibTeX XMLCite \textit{J. M. Martínez}, Math. Comput. 55, No. 191, 143--167 (1990; Zbl 0707.65031) Full Text: DOI
Tapia, Richard On secant updates for use in general constrained optimization. (English) Zbl 0657.90088 Math. Comput. 51, No. 183, 181-202 (1988). Reviewer: S.Mititelu MSC: 90C30 65K05 90C20 49M15 PDFBibTeX XMLCite \textit{R. Tapia}, Math. Comput. 51, No. 183, 181--202 (1988; Zbl 0657.90088) Full Text: DOI
Dennis, J. E. jun.; Li, Guangye A hybrid algorithm for solving sparse nonlinear systems of equations. (English) Zbl 0657.65064 Math. Comput. 50, No. 181, 155-166 (1988). Reviewer: T.F.Coleman MSC: 65H10 65K05 PDFBibTeX XMLCite \textit{J. E. Dennis jun.} and \textit{G. Li}, Math. Comput. 50, No. 181, 155--166 (1988; Zbl 0657.65064) Full Text: DOI
Lötstedt, Per; Petzold, Linda Numerical solution of nonlinear differential equations with algebraic constraints. I: Convergence results for backward differentiation formulas. (English) Zbl 0601.65060 Math. Comput. 46, 491-516 (1986). Reviewer: L.M.Berkovich MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{P. Lötstedt} and \textit{L. Petzold}, Math. Comput. 46, 491--516 (1986; Zbl 0601.65060) Full Text: DOI
Lubich, Ch. Runge-Kutta theory for Volterra and Abel integral equations of the second kind. (English) Zbl 0538.65091 Math. Comput. 41, 87-102 (1983). Reviewer: H.J.J.te Riele MSC: 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{Ch. Lubich}, Math. Comput. 41, 87--102 (1983; Zbl 0538.65091) Full Text: DOI
Ypma, T. J. Local convergence of difference Newton-like methods. (English) Zbl 0533.65027 Math. Comput. 41, 527-536 (1983). Reviewer: W.C.Rheinboldt MSC: 65H10 PDFBibTeX XMLCite \textit{T. J. Ypma}, Math. Comput. 41, 527--536 (1983; Zbl 0533.65027) Full Text: DOI
de Boor, Carl; Swartz, Blair Local piecewise polynomial projection methods for an O.D.E. which give high-order convergence at knots. (English) Zbl 0456.65056 Math. Comput. 36, 21-33 (1981). MSC: 65L15 34L99 65D07 PDFBibTeX XMLCite \textit{C. de Boor} and \textit{B. Swartz}, Math. Comput. 36, 21--33 (1981; Zbl 0456.65056) Full Text: DOI
Miel, George J. Majorizing sequences and error bounds for iterative methods. (English) Zbl 0425.65033 Math. Comput. 34, 185-202 (1980). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{G. J. Miel}, Math. Comput. 34, 185--202 (1980; Zbl 0425.65033) Full Text: DOI