Cai, Zhenning; Lin, Bo; Lin, Meixia A positive and moment-preserving Fourier spectral method. (English) Zbl 07805453 SIAM J. Numer. Anal. 62, No. 1, 273-294 (2024). MSC: 65T40 65N35 90C25 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Numer. Anal. 62, No. 1, 273--294 (2024; Zbl 07805453) Full Text: DOI arXiv
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. (English) Zbl 1516.65102 SIAM J. Numer. Anal. 61, No. 1, 250-285 (2023). Reviewer: Shuji Yoshikawa (Oita) MSC: 65M60 65M06 65N30 65M12 76W05 76N10 35L65 PDFBibTeX XMLCite \textit{K. Wu} et al., SIAM J. Numer. Anal. 61, No. 1, 250--285 (2023; Zbl 1516.65102) Full Text: DOI arXiv
Gottlieb, Sigal; Grant, Zachary J.; Hu, Jingwei; Shu, Ruiwen High order strong stability preserving multiderivative implicit and IMEX Runge-Kutta methods with asymptotic preserving properties. (English) Zbl 1522.65120 SIAM J. Numer. Anal. 60, No. 1, 423-449 (2022). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{S. Gottlieb} et al., SIAM J. Numer. Anal. 60, No. 1, 423--449 (2022; Zbl 1522.65120) Full Text: DOI arXiv
Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M. Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. (English) Zbl 07516278 SIAM J. Numer. Anal. 60, No. 2, 781-803 (2022). MSC: 65-XX 35K35 35K55 49J40 65M06 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Numer. Anal. 60, No. 2, 781--803 (2022; Zbl 07516278) Full Text: DOI arXiv
Feng, Xinlong; Huang, Xueling; Wang, Kun Error estimate of unconditionally stable and decoupled linear positivity-preserving FEM for the chemotaxis-Stokes equations. (English) Zbl 1480.65254 SIAM J. Numer. Anal. 59, No. 6, 3052-3076 (2021). MSC: 65M60 65M06 65N30 65M15 65M12 35D30 76D07 92C17 35Q35 35Q92 PDFBibTeX XMLCite \textit{X. Feng} et al., SIAM J. Numer. Anal. 59, No. 6, 3052--3076 (2021; Zbl 1480.65254) Full Text: DOI
Huo, Xiaokai; Liu, Hailiang; Tzavaras, Athanasios E.; Wang, Shuaikun An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. (English) Zbl 1511.65083 SIAM J. Numer. Anal. 59, No. 5, 2321-2345 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65N06 65K10 35K55 35Q79 PDFBibTeX XMLCite \textit{X. Huo} et al., SIAM J. Numer. Anal. 59, No. 5, 2321--2345 (2021; Zbl 1511.65083) Full Text: DOI arXiv
Guermond, Jean-Luc; Popov, Bojan; Ragusa, Jean Positive and asymptotic preserving approximation of the radiation transport equation. (English) Zbl 1447.65142 SIAM J. Numer. Anal. 58, No. 1, 519-540 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N22 82D75 35Q20 35B09 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., SIAM J. Numer. Anal. 58, No. 1, 519--540 (2020; Zbl 1447.65142) Full Text: DOI arXiv
Wu, Kailiang Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics. (English) Zbl 1391.76369 SIAM J. Numer. Anal. 56, No. 4, 2124-2147 (2018). MSC: 76M10 76M12 65M60 65M08 65M12 35L65 35Q35 76W05 PDFBibTeX XMLCite \textit{K. Wu}, SIAM J. Numer. Anal. 56, No. 4, 2124--2147 (2018; Zbl 1391.76369) Full Text: DOI arXiv
Hu, Jingwei; Shu, Ruiwen; Zhang, Xiangxiong Asymptotic-preserving and positivity-preserving implicit-explicit schemes for the stiff BGK equation. (English) Zbl 1388.82023 SIAM J. Numer. Anal. 56, No. 2, 942-973 (2018). MSC: 82C40 65L04 35Q31 65L06 PDFBibTeX XMLCite \textit{J. Hu} et al., SIAM J. Numer. Anal. 56, No. 2, 942--973 (2018; Zbl 1388.82023) Full Text: DOI arXiv
Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan Well-balanced second-order approximation of the shallow water equation with continuous finite elements. (English) Zbl 1459.65165 SIAM J. Numer. Anal. 55, No. 6, 3203-3224 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M60 65M12 35L50 35L65 76M10 PDFBibTeX XMLCite \textit{P. Azerad} et al., SIAM J. Numer. Anal. 55, No. 6, 3203--3224 (2017; Zbl 1459.65165) Full Text: DOI
Laiu, M. Paul; Hauck, Cory D.; McClarren, Ryan G.; O’Leary, Dianne P.; Tits, André L. Positive filtered \(\mathrm P_N\) moment closures for linear kinetic equations. (English) Zbl 1352.42032 SIAM J. Numer. Anal. 54, No. 6, 3214-3238 (2016). MSC: 42B37 35L02 65M15 41A10 41A29 90C20 82C70 82D75 PDFBibTeX XMLCite \textit{M. P. Laiu} et al., SIAM J. Numer. Anal. 54, No. 6, 3214--3238 (2016; Zbl 1352.42032) Full Text: DOI
Liu, Hailiang; Cai, Wenli; Su, Ning Entropy satisfying schemes for computing selection dynamics in competitive interactions. (English) Zbl 1318.65085 SIAM J. Numer. Anal. 53, No. 3, 1393-1417 (2015). MSC: 65R20 45K05 92D25 92D15 65K05 90C20 PDFBibTeX XMLCite \textit{H. Liu} et al., SIAM J. Numer. Anal. 53, No. 3, 1393--1417 (2015; Zbl 1318.65085) Full Text: DOI Link
Ketcheson, David I.; Macdonald, Colin B.; Ruuth, Steven J. Spatially partitioned embedded Runge-Kutta methods. (English) Zbl 1285.65061 SIAM J. Numer. Anal. 51, No. 5, 2887-2910 (2013). Reviewer: Fernando Casas (Castellon) MSC: 65M20 35L65 65L06 65M12 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., SIAM J. Numer. Anal. 51, No. 5, 2887--2910 (2013; Zbl 1285.65061) Full Text: DOI arXiv
Clain, Stéphane Finite volume maximum principle for hyperbolic scalar problems. (English) Zbl 1268.65122 SIAM J. Numer. Anal. 51, No. 1, 467-490 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35B50 35L20 PDFBibTeX XMLCite \textit{S. Clain}, SIAM J. Numer. Anal. 51, No. 1, 467--490 (2013; Zbl 1268.65122) Full Text: DOI
Liu, Hailiang; Yu, Hui An entropy satisfying conservative method for the Fokker-Planck equation of the finitely extensible nonlinear elastic dumbbell model. (English) Zbl 1422.74097 SIAM J. Numer. Anal. 50, No. 3, 1207-1239 (2012). MSC: 74S10 74B20 65M12 82D60 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Yu}, SIAM J. Numer. Anal. 50, No. 3, 1207--1239 (2012; Zbl 1422.74097) Full Text: DOI
Formaggia, L.; Scotti, A. Positivity and conservation properties of some integration schemes for mass action kinetics. (English) Zbl 1229.80020 SIAM J. Numer. Anal. 49, No. 3, 1267-1288 (2011). MSC: 80A30 65L04 65L20 PDFBibTeX XMLCite \textit{L. Formaggia} and \textit{A. Scotti}, SIAM J. Numer. Anal. 49, No. 3, 1267--1288 (2011; Zbl 1229.80020) Full Text: DOI
Manni, Carla; Mazure, Marie-Laurence Shape constraints and optimal bases for \(C^1\) Hermite interpolatory subdivision schemes. (English) Zbl 1233.65021 SIAM J. Numer. Anal. 48, No. 4, 1254-1280 (2010). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65D18 65D05 PDFBibTeX XMLCite \textit{C. Manni} and \textit{M.-L. Mazure}, SIAM J. Numer. Anal. 48, No. 4, 1254--1280 (2010; Zbl 1233.65021) Full Text: DOI
Lyche, Tom; Merrien, Jean-Louis \(C^1\) interpolatory subdivision with shape constraints for curves. (English) Zbl 1124.65014 SIAM J. Numer. Anal. 44, No. 3, 1095-1121 (2006). Reviewer: Jesus Illán González (Vigo) MSC: 65D05 65D17 PDFBibTeX XMLCite \textit{T. Lyche} and \textit{J.-L. Merrien}, SIAM J. Numer. Anal. 44, No. 3, 1095--1121 (2006; Zbl 1124.65014) Full Text: DOI
Cuesta, E.; Palencia, C. A numerical method for an integro-differential equation with memory in Banach spaces: qualitative properties. (English) Zbl 1054.65131 SIAM J. Numer. Anal. 41, No. 4, 1232-1241 (2003). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45K05 65J10 PDFBibTeX XMLCite \textit{E. Cuesta} and \textit{C. Palencia}, SIAM J. Numer. Anal. 41, No. 4, 1232--1241 (2003; Zbl 1054.65131) Full Text: DOI
Hundsdorfer, Willem; Ruuth, Steven J.; Spiteri, Raymond J. Monotonicity-preserving linear multistep methods. (English) Zbl 1050.65070 SIAM J. Numer. Anal. 41, No. 2, 605-623 (2003). Reviewer: Raffaella Pavani (Milano) MSC: 65L06 65M06 65M20 65L20 34A34 65L05 PDFBibTeX XMLCite \textit{W. Hundsdorfer} et al., SIAM J. Numer. Anal. 41, No. 2, 605--623 (2003; Zbl 1050.65070) Full Text: DOI
Hundsdorfer, Willem Partially implicit BDF2 blends for convection-dominated flows. (English) Zbl 1007.76052 SIAM J. Numer. Anal. 38, No. 6, 1763-1783 (2001). Reviewer: A.Meister (Hamburg) MSC: 76M20 76R99 65M06 65M12 PDFBibTeX XMLCite \textit{W. Hundsdorfer}, SIAM J. Numer. Anal. 38, No. 6, 1763--1783 (2001; Zbl 1007.76052) Full Text: DOI
Zhornitskaya, L.; Bertozzi, A. L. Positivity-preserving numerical schemes for lubrication-type equations. (English) Zbl 0961.76060 SIAM J. Numer. Anal. 37, No. 2, 523-555 (2000). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 76M20 76D08 65M06 65M12 35K65 76A20 PDFBibTeX XMLCite \textit{L. Zhornitskaya} and \textit{A. L. Bertozzi}, SIAM J. Numer. Anal. 37, No. 2, 523--555 (2000; Zbl 0961.76060) Full Text: DOI
Gabetta, E.; Pareschi, L.; Toscani, G. Relaxation schemes for nonlinear kinetic equations. (English) Zbl 0897.76071 SIAM J. Numer. Anal. 34, No. 6, 2168-2194 (1997). MSC: 76M25 76P05 82-08 PDFBibTeX XMLCite \textit{E. Gabetta} et al., SIAM J. Numer. Anal. 34, No. 6, 2168--2194 (1997; Zbl 0897.76071) Full Text: DOI
Ning, S.; Kearfott, R. B. A comparison of some methods for solving linear interval equations. (English) Zbl 0889.65022 SIAM J. Numer. Anal. 34, No. 4, 1289-1305 (1997). Reviewer: J.Rohn (Praha) MSC: 65F05 65G30 PDFBibTeX XMLCite \textit{S. Ning} and \textit{R. B. Kearfott}, SIAM J. Numer. Anal. 34, No. 4, 1289--1305 (1997; Zbl 0889.65022) Full Text: DOI