Pulch, Roland; Sandu, Adrian Rosenbrock-W methods for stochastic Galerkin systems. (English) Zbl 07756741 J. Comput. Appl. Math. 438, Article ID 115527, 18 p. (2024). MSC: 65Lxx 65Cxx 65-XX PDFBibTeX XMLCite \textit{R. Pulch} and \textit{A. Sandu}, J. Comput. Appl. Math. 438, Article ID 115527, 18 p. (2024; Zbl 07756741) Full Text: DOI
Altmann, R. Splitting schemes for the semi-linear wave equation with dynamic boundary conditions. (English) Zbl 07783922 Comput. Math. Appl. 151, 12-20 (2023). MSC: 65-XX 35L20 65M12 65M60 35L05 76Q05 PDFBibTeX XMLCite \textit{R. Altmann}, Comput. Math. Appl. 151, 12--20 (2023; Zbl 07783922) Full Text: DOI arXiv
Flaig, Thomas G. Implicit Runge-Kutta schemes for optimal control problems with evolution equations. (English) Zbl 07766470 Comput. Methods Appl. Math. 23, No. 4, 917-952 (2023). MSC: 65M60 65L06 65L60 65M15 49M29 49M25 49M05 PDFBibTeX XMLCite \textit{T. G. Flaig}, Comput. Methods Appl. Math. 23, No. 4, 917--952 (2023; Zbl 07766470) Full Text: DOI arXiv
Liu, Shuaijun; Huang, Pengzhan; He, Yinnian A second-order scheme based on blended BDF for the incompressible MHD system. (English) Zbl 07757637 Adv. Comput. Math. 49, No. 5, Paper No. 74, 25 p. (2023). MSC: 65M60 65M06 65N30 65B05 65M12 65M15 76W05 76E25 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{S. Liu} et al., Adv. Comput. Math. 49, No. 5, Paper No. 74, 25 p. (2023; Zbl 07757637) Full Text: DOI
Alexandre, Ern; Guermond, Jean-Luc Invariant-domain preserving high-order time stepping. II: IMEX schemes. (English) Zbl 07742974 SIAM J. Sci. Comput. 45, No. 5, A2511-A2538 (2023). MSC: 65-XX 35L65 65M60 65M12 65N30 PDFBibTeX XMLCite \textit{E. Alexandre} and \textit{J.-L. Guermond}, SIAM J. Sci. Comput. 45, No. 5, A2511--A2538 (2023; Zbl 07742974) Full Text: DOI
Li, Shishun; Wang, Jing-Yuan; Cai, Xiao-Chuan \(A\)-stable high-order block implicit methods for parabolic equations. (English) Zbl 1520.65053 SIAM J. Numer. Anal. 61, No. 4, 1858-1884 (2023). MSC: 65L05 65L20 65M55 65M60 PDFBibTeX XMLCite \textit{S. Li} et al., SIAM J. Numer. Anal. 61, No. 4, 1858--1884 (2023; Zbl 1520.65053) Full Text: DOI
Dikusar, N. D. Numerical solution of the Cauchy problem based on the basic element method. (Russian. English summary) Zbl 1522.65112 Mat. Model. 35, No. 5, 87-103 (2023). MSC: 65L04 65L60 PDFBibTeX XMLCite \textit{N. D. Dikusar}, Mat. Model. 35, No. 5, 87--103 (2023; Zbl 1522.65112) Full Text: DOI MNR
Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice (Spectral) Chebyshev collocation methods for solving differential equations. (English) Zbl 1523.65100 Numer. Algorithms 93, No. 4, 1613-1638 (2023). MSC: 65P10 65L60 65L06 65L05 PDFBibTeX XMLCite \textit{P. Amodio} et al., Numer. Algorithms 93, No. 4, 1613--1638 (2023; Zbl 1523.65100) Full Text: DOI arXiv
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
Wang, Haijin; Shi, Xiaobin; Zhang, Qiang Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit backward difference formulas up to fifth order for convection-diffusion equation. (English) Zbl 07708338 J. Sci. Comput. 96, No. 2, Paper No. 37, 25 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Sci. Comput. 96, No. 2, Paper No. 37, 25 p. (2023; Zbl 07708338) Full Text: DOI
Pagliantini, C.; Manzini, G.; Koshkarov, O.; Delzanno, G. L.; Roytershteyn, V. Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations. (English) Zbl 07700419 Comput. Phys. Commun. 284, Article ID 108604, 26 p. (2023). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{C. Pagliantini} et al., Comput. Phys. Commun. 284, Article ID 108604, 26 p. (2023; Zbl 07700419) Full Text: DOI arXiv
Wang, Wansheng; Li, Shoufu Efficient stability-preserving numerical methods for nonlinear coercive problems in vector space. (English) Zbl 07679130 SIAM J. Numer. Anal. 61, No. 2, 872-904 (2023). MSC: 65M20 65L06 65L03 65L70 65L20 65N06 65N30 65M50 65M12 65M15 PDFBibTeX XMLCite \textit{W. Wang} and \textit{S. Li}, SIAM J. Numer. Anal. 61, No. 2, 872--904 (2023; Zbl 07679130) Full Text: DOI
Fortin, A.; Yakoubi, D. A very high order discontinuous Galerkin method for the numerical solution of stiff DDEs. (English) Zbl 1511.65062 Appl. Math. Comput. 443, Article ID 127767, 15 p. (2023). MSC: 65L04 65L60 PDFBibTeX XMLCite \textit{A. Fortin} and \textit{D. Yakoubi}, Appl. Math. Comput. 443, Article ID 127767, 15 p. (2023; Zbl 1511.65062) Full Text: DOI
Zhang, Min; Huang, Weizhang; Qiu, Jianxian A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. (English) Zbl 1524.65630 Numer. Math., Theory Methods Appl. 16, No. 1, 111-139 (2023). MSC: 65M60 65M50 65M12 65L06 65N30 65M06 PDFBibTeX XMLCite \textit{M. Zhang} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 111--139 (2023; Zbl 1524.65630) Full Text: DOI arXiv
Chertock, A.; Kurganov, A.; Lukáčová-Medvid’ová, M.; Spichtinger, P.; Wiebe, B. Stochastic Galerkin method for cloud simulation. II: A fully random Navier-Stokes-cloud model. (English) Zbl 07660352 J. Comput. Phys. 479, Article ID 111987, 24 p. (2023). MSC: 65Mxx 60Hxx 65Cxx PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Comput. Phys. 479, Article ID 111987, 24 p. (2023; Zbl 07660352) Full Text: DOI arXiv
Gao, Qiyi; Wu, Hua Legendre-Petrov-Galerkin Chebyshev spectral collocation method for second-order nonlinear differential equations. (English) Zbl 1512.65164 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2246-2268 (2023). MSC: 65L60 65L05 65M20 PDFBibTeX XMLCite \textit{Q. Gao} and \textit{H. Wu}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2246--2268 (2023; Zbl 1512.65164) Full Text: DOI
Paraschis, Panagiotis; Zouraris, Georgios E. On the convergence of the Crank-Nicolson method for the logarithmic Schrödinger equation. (English) Zbl 1501.65077 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 245-261 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{P. Paraschis} and \textit{G. E. Zouraris}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 245--261 (2023; Zbl 1501.65077) Full Text: DOI
Chung, Matthias; Krueger, Justin; Liu, Honghu Least-squares finite element method for ordinary differential equations. (English) Zbl 1502.65048 J. Comput. Appl. Math. 418, Article ID 114660, 21 p. (2023). MSC: 65L60 65L05 65L20 PDFBibTeX XMLCite \textit{M. Chung} et al., J. Comput. Appl. Math. 418, Article ID 114660, 21 p. (2023; Zbl 1502.65048) Full Text: DOI arXiv
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
Polekhina, R. R.; Alekseev, M. V.; Savenkov, E. B. Validation of a computational algorithm based on the discontinuous Galerkin method for the Baer-Nunziato relaxation model. (English. Russian original) Zbl 1500.76052 Differ. Equ. 58, No. 7, 966-984 (2022); translation from Differ. Uravn. 58, No. 7, 977-994 (2022). MSC: 76M10 76M20 76T99 76V05 PDFBibTeX XMLCite \textit{R. R. Polekhina} et al., Differ. Equ. 58, No. 7, 966--984 (2022; Zbl 1500.76052); translation from Differ. Uravn. 58, No. 7, 977--994 (2022) Full Text: DOI
Sun, Zheng; Wei, Yuanzhe; Wu, Kailiang On energy laws and stability of Runge-Kutta methods for linear seminegative problems. (English) Zbl 1502.65143 SIAM J. Numer. Anal. 60, No. 5, 2448-2481 (2022). Reviewer: Dana Černá (Liberec) MSC: 65M60 65L06 65M12 65L20 15A23 35B35 41A21 PDFBibTeX XMLCite \textit{Z. Sun} et al., SIAM J. Numer. Anal. 60, No. 5, 2448--2481 (2022; Zbl 1502.65143) Full Text: DOI arXiv
Stoter, Stein K. F.; Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods. (English) Zbl 1507.65191 Comput. Methods Appl. Mech. Eng. 399, Article ID 115310, 23 p. (2022). MSC: 65M60 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115310, 23 p. (2022; Zbl 1507.65191) Full Text: DOI arXiv
Al Jahdali, R.; Dalcin, L.; Boukharfane, R.; Nolasco, I. R.; Keyes, D. E.; Parsani, M. Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics. (English) Zbl 1524.65264 Comput. Math. Appl. 118, 1-17 (2022). MSC: 65L06 65M12 65M60 76M10 PDFBibTeX XMLCite \textit{R. Al Jahdali} et al., Comput. Math. Appl. 118, 1--17 (2022; Zbl 1524.65264) Full Text: DOI
Haçat, Gülnur; Yılmaz, Fikriye; Çıbık, Aytekin; Kaya, Songül Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization. (English) Zbl 1510.76087 Appl. Math. Comput. 430, Article ID 127240, 21 p. (2022). MSC: 76M10 65M60 35Q30 49M05 49M41 76D05 PDFBibTeX XMLCite \textit{G. Haçat} et al., Appl. Math. Comput. 430, Article ID 127240, 21 p. (2022; Zbl 1510.76087) Full Text: DOI
Beschle, Cedric Aaron; Kovács, Balázs Stability and error estimates for non-linear Cahn-Hilliard-type equations on evolving surfaces. (English) Zbl 1491.65089 Numer. Math. 151, No. 1, 1-48 (2022). MSC: 65M60 65N30 65L05 65L06 65L20 65M12 65M15 35K55 35R01 PDFBibTeX XMLCite \textit{C. A. Beschle} and \textit{B. Kovács}, Numer. Math. 151, No. 1, 1--48 (2022; Zbl 1491.65089) Full Text: DOI arXiv
Li, Jian; Wang, Xue; Al Mahbub, Md. Abdullah; Zheng, Haibiao; Chen, Zhangxin Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system. (English) Zbl 1491.65098 J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 65M55 65Y05 76S05 76D07 35J05 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022; Zbl 1491.65098) Full Text: DOI
Nick, Jörg; Kovács, Balázs; Lubich, Christian Time-dependent electromagnetic scattering from thin layers. (English) Zbl 1491.35408 Numer. Math. 150, No. 4, 1123-1164 (2022). MSC: 35Q61 78A45 65M60 65L06 65N30 65M38 78M10 78M15 78M34 65M12 65R20 35A01 35A02 PDFBibTeX XMLCite \textit{J. Nick} et al., Numer. Math. 150, No. 4, 1123--1164 (2022; Zbl 1491.35408) Full Text: DOI arXiv
Zhang, Yanming; Fan, Yan; Li, Yu General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation. (English) Zbl 1504.65219 Comput. Math. Appl. 113, 1-12 (2022). MSC: 65M60 35M30 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 113, 1--12 (2022; Zbl 1504.65219) Full Text: DOI
Southworth, Ben S.; Krzysik, Oliver; Pazner, Will Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. II: Nonlinearities and DAEs. (English) Zbl 1490.65177 SIAM J. Sci. Comput. 44, No. 2, A636-A663 (2022). MSC: 65M22 65L06 65L80 65M20 65M60 PDFBibTeX XMLCite \textit{B. S. Southworth} et al., SIAM J. Sci. Comput. 44, No. 2, A636--A663 (2022; Zbl 1490.65177) Full Text: DOI arXiv
Southworth, Ben S.; Krzysik, Oliver; Pazner, Will; De Sterck, Hans Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. I: The linear setting. (English) Zbl 1490.65178 SIAM J. Sci. Comput. 44, No. 1, A416-A443 (2022). MSC: 65M22 65M20 65M60 65L06 65F08 65F10 PDFBibTeX XMLCite \textit{B. S. Southworth} et al., SIAM J. Sci. Comput. 44, No. 1, A416--A443 (2022; Zbl 1490.65178) Full Text: DOI arXiv
Behnoudfar, Pouria; Loli, Gabriele; Reali, Alessandro; Sangalli, Giancarlo; Calo, Victor M. Explicit high-order generalized-\(\alpha\) methods for isogeometric analysis of structural dynamics. (English) Zbl 1507.65175 Comput. Methods Appl. Mech. Eng. 389, Article ID 114344, 22 p. (2022). MSC: 65M60 65M99 PDFBibTeX XMLCite \textit{P. Behnoudfar} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114344, 22 p. (2022; Zbl 1507.65175) Full Text: DOI arXiv
Yang, Jiang; Yuan, Zhaoming; Zhou, Zhi Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations. (English) Zbl 1518.65113 J. Sci. Comput. 90, No. 2, Paper No. 76, 36 p. (2022). MSC: 65M60 65M06 65N30 65M70 65B05 65D32 65M15 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Sci. Comput. 90, No. 2, Paper No. 76, 36 p. (2022; Zbl 1518.65113) Full Text: DOI arXiv
Hoang, N. S. Collocation Runge-Kutta-Nyström methods for solving second-order initial value problems. (English) Zbl 1480.65167 Int. J. Comput. Math. 98, No. 12, 2423-2444 (2021). MSC: 65L05 65L06 65L20 65L60 PDFBibTeX XMLCite \textit{N. S. Hoang}, Int. J. Comput. Math. 98, No. 12, 2423--2444 (2021; Zbl 1480.65167) Full Text: DOI
Wu, Shuonan; Zhou, Zhi A parallel-in-time algorithm for high-order BDF methods for diffusion and subdiffusion equations. (English) Zbl 1491.65084 SIAM J. Sci. Comput. 43, No. 6, A3627-A3656 (2021). MSC: 65M20 65L06 65M12 65M15 65M60 65Y05 PDFBibTeX XMLCite \textit{S. Wu} and \textit{Z. Zhou}, SIAM J. Sci. Comput. 43, No. 6, A3627--A3656 (2021; Zbl 1491.65084) Full Text: DOI arXiv
Franchina, N.; Savini, M.; Bassi, F. Numerical simulation of non-reacting fuel-air coaxial jets by means of a novel high-order method. (English) Zbl 1521.76332 Comput. Fluids 216, Article ID 104814, 14 p. (2021). MSC: 76M10 65M60 76V05 PDFBibTeX XMLCite \textit{N. Franchina} et al., Comput. Fluids 216, Article ID 104814, 14 p. (2021; Zbl 1521.76332) Full Text: DOI
Urevc, Janez; Starman, Bojan; Maček, Andraž; Halilovič, Miroslav A novel class of collocation methods based on the weighted integral form of ODEs. (English) Zbl 1476.65155 Comput. Appl. Math. 40, No. 4, Paper No. 135, 28 p. (2021). MSC: 65L60 65L04 PDFBibTeX XMLCite \textit{J. Urevc} et al., Comput. Appl. Math. 40, No. 4, Paper No. 135, 28 p. (2021; Zbl 1476.65155) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice Multivalue mixed collocation methods. (English) Zbl 1510.65169 Appl. Math. Comput. 409, Article ID 126346, 14 p. (2021). MSC: 65L60 65L04 PDFBibTeX XMLCite \textit{D. Conte} et al., Appl. Math. Comput. 409, Article ID 126346, 14 p. (2021; Zbl 1510.65169) Full Text: DOI
Abreu, Eduardo; Durán, Angel Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models. (English) Zbl 1524.35332 Comput. Math. Appl. 102, 15-44 (2021). MSC: 35K70 76S05 65N35 65M12 65N30 PDFBibTeX XMLCite \textit{E. Abreu} and \textit{A. Durán}, Comput. Math. Appl. 102, 15--44 (2021; Zbl 1524.35332) Full Text: DOI
Benedusi, Pietro; Minion, Michael L.; Krause, Rolf An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem. (English) Zbl 1524.65516 Comput. Math. Appl. 99, 162-170 (2021). MSC: 65M60 65M55 65Y05 65M15 65L05 65M70 65M12 65F10 35K05 65L04 65N30 65M06 65N50 PDFBibTeX XMLCite \textit{P. Benedusi} et al., Comput. Math. Appl. 99, 162--170 (2021; Zbl 1524.65516) Full Text: DOI arXiv
Akrivis, Georgios; Chen, Minghua; Yu, Fan; Zhou, Zhi The energy technique for the six-step BDF method. (English) Zbl 1483.65153 SIAM J. Numer. Anal. 59, No. 5, 2449-2472 (2021). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M20 65L06 65M12 PDFBibTeX XMLCite \textit{G. Akrivis} et al., SIAM J. Numer. Anal. 59, No. 5, 2449--2472 (2021; Zbl 1483.65153) Full Text: DOI arXiv
Hedayati Nasab, Siavash; Pereira, Carlos A.; Vermeire, Brian C. Optimal Runge-Kutta stability polynomials for multidimensional high-order methods. (English) Zbl 1500.65061 J. Sci. Comput. 89, No. 1, Paper No. 11, 30 p. (2021). MSC: 65M60 65L06 65L20 90C26 76F65 76F06 35Q35 PDFBibTeX XMLCite \textit{S. Hedayati Nasab} et al., J. Sci. Comput. 89, No. 1, Paper No. 11, 30 p. (2021; Zbl 1500.65061) Full Text: DOI
Tao, Qi; Cao, Waixiang; Zhang, Zhimin Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations. (English) Zbl 1500.65071 J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{Q. Tao} et al., J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021; Zbl 1500.65071) Full Text: DOI
Lukin, V. V.; Korchagova, V. N.; Sautkina, S. M. On stable Runge-Kutta methods for solving hyperbolic equations by the discontinuous Galerkin method. (English. Russian original) Zbl 1496.65168 Differ. Equ. 57, No. 7, 921-933 (2021); translation from Differ. Uravn. 57, No. 7, 951-962 (2021). MSC: 65M60 65L06 35A24 35L60 76N15 35Q35 35Q49 PDFBibTeX XMLCite \textit{V. V. Lukin} et al., Differ. Equ. 57, No. 7, 921--933 (2021; Zbl 1496.65168); translation from Differ. Uravn. 57, No. 7, 951--962 (2021) Full Text: DOI
Akrivis, Georgios; Li, Dongfang Structure-preserving Gauss methods for the nonlinear Schrödinger equation. (English) Zbl 1486.65158 Calcolo 58, No. 2, Paper No. 17, 25 p. (2021). MSC: 65M60 65M06 65N30 65M12 35Q41 35Q55 PDFBibTeX XMLCite \textit{G. Akrivis} and \textit{D. Li}, Calcolo 58, No. 2, Paper No. 17, 25 p. (2021; Zbl 1486.65158) Full Text: DOI
Dolejší, Vít; Roskovec, Filip; Vlasák, Miloslav A posteriori error estimates for higher order space-time Galerkin discretizations of nonlinear parabolic problems. (English) Zbl 1480.65252 SIAM J. Numer. Anal. 59, No. 3, 1486-1509 (2021). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M15 76R50 35K57 PDFBibTeX XMLCite \textit{V. Dolejší} et al., SIAM J. Numer. Anal. 59, No. 3, 1486--1509 (2021; Zbl 1480.65252) Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin Unconditional optimal error estimates of linearized second-order BDF Galerkin FEMs for the Landau-Lifshitz equation. (English) Zbl 1459.65191 Appl. Numer. Math. 159, 21-45 (2021). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{Y.-B. Yang} and \textit{Y.-L. Jiang}, Appl. Numer. Math. 159, 21--45 (2021; Zbl 1459.65191) Full Text: DOI
Al Sayed Ali, Mouhamad; Sadkane, Miloud Acceleration of implicit schemes for large linear systems of differential-algebraic equations. (English) Zbl 1459.65130 J. Comput. Appl. Math. 389, Article ID 113364, 11 p. (2021). MSC: 65L80 65F08 65B99 PDFBibTeX XMLCite \textit{M. Al Sayed Ali} and \textit{M. Sadkane}, J. Comput. Appl. Math. 389, Article ID 113364, 11 p. (2021; Zbl 1459.65130) Full Text: DOI
D’Ambrosio, Raffaele; Paternoster, Beatrice Multivalue collocation methods free from order reduction. (English) Zbl 1458.65073 J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021). MSC: 65L04 65L60 PDFBibTeX XMLCite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021; Zbl 1458.65073) Full Text: DOI
Sandu, Adrian; Tomov, Vladimir; Cervena, Lenka; Kolev, Tzanio Conservative high-order time integration for Lagrangian hydrodynamics. (English) Zbl 1462.65084 SIAM J. Sci. Comput. 43, No. 1, A221-A241 (2021). MSC: 65L06 65M60 PDFBibTeX XMLCite \textit{A. Sandu} et al., SIAM J. Sci. Comput. 43, No. 1, A221--A241 (2021; Zbl 1462.65084) Full Text: DOI
Grubišić, Luka; Ljulj, Matko; Mehrmann, Volker; Tambača, Josip Modeling and discretization methods for the numerical simulation of elastic frame structures. (English) Zbl 1452.74107 ETNA, Electron. Trans. Numer. Anal. 54, 1-30 (2021). MSC: 74S05 74K10 74K30 74G15 74H15 65M15 65M60 PDFBibTeX XMLCite \textit{L. Grubišić} et al., ETNA, Electron. Trans. Numer. Anal. 54, 1--30 (2021; Zbl 1452.74107) Full Text: DOI arXiv Link
Rittich, Hannah; Speck, Robert Time-parallel simulation of the Schrödinger equation. (English) Zbl 1523.81005 Comput. Phys. Commun. 255, Article ID 107363, 13 p. (2020). MSC: 81-10 81Q05 65M60 65Y05 PDFBibTeX XMLCite \textit{H. Rittich} and \textit{R. Speck}, Comput. Phys. Commun. 255, Article ID 107363, 13 p. (2020; Zbl 1523.81005) Full Text: DOI arXiv
Johnson, Ryan F.; Kercher, Andrew D. A conservative discontinuous Galerkin discretization for the chemically reacting Navier-Stokes equations. (English) Zbl 07508431 J. Comput. Phys. 423, Article ID 109826, 52 p. (2020). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{R. F. Johnson} and \textit{A. D. Kercher}, J. Comput. Phys. 423, Article ID 109826, 52 p. (2020; Zbl 07508431) Full Text: DOI arXiv
Bu, Sunyoung; Bak, Soyoon Simulation of advection-diffusion-dispersion equations based on a composite time discretization scheme. (English) Zbl 1482.65138 Adv. Difference Equ. 2020, Paper No. 132, 19 p. (2020). MSC: 65M06 65M12 65M25 65M60 PDFBibTeX XMLCite \textit{S. Bu} and \textit{S. Bak}, Adv. Difference Equ. 2020, Paper No. 132, 19 p. (2020; Zbl 1482.65138) Full Text: DOI
Akbas, Mine Unconditional long time \(H^1\)-stability of a velocity-vorticity-temperature scheme for the 2D-Boussinesq system. (English) Zbl 1488.76022 Adv. Appl. Math. Mech. 12, No. 5, 1166-1195 (2020). MSC: 76D03 76D05 65N30 PDFBibTeX XMLCite \textit{M. Akbas}, Adv. Appl. Math. Mech. 12, No. 5, 1166--1195 (2020; Zbl 1488.76022) Full Text: DOI
Zhao, Jingjun; Zhang, Yanming; Xu, Yang Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space fractional diffusion equation. (English) Zbl 1497.65197 Appl. Math. Comput. 386, Article ID 125505, 14 p. (2020). MSC: 65M70 65L06 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Math. Comput. 386, Article ID 125505, 14 p. (2020; Zbl 1497.65197) Full Text: DOI
Kovács, Balázs; Li, Buyang; Lubich, Christian A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. (English) Zbl 1458.35016 Interfaces Free Bound. 22, No. 4, 443-464 (2020). MSC: 35A35 35R01 65M60 65M15 65M12 53E10 35Q92 PDFBibTeX XMLCite \textit{B. Kovács} et al., Interfaces Free Bound. 22, No. 4, 443--464 (2020; Zbl 1458.35016) Full Text: DOI arXiv
Barucq, Hélène; Duruflé, Marc; N’diaye, Mamadou High-order locally a-stable implicit schemes for linear ODEs. (English) Zbl 1452.76146 J. Sci. Comput. 85, No. 2, Paper No. 31, 32 p. (2020). MSC: 76M20 76Q05 65L05 65M60 PDFBibTeX XMLCite \textit{H. Barucq} et al., J. Sci. Comput. 85, No. 2, Paper No. 31, 32 p. (2020; Zbl 1452.76146) Full Text: DOI HAL
Wu, Jingwen; Hu, Jintao; Tian, Hongjiong Functionally-fitted block \( \theta \)-methods for ordinary differential equations. (English) Zbl 1450.65066 Discrete Contin. Dyn. Syst., Ser. S 13, No. 9, 2603-2617 (2020). MSC: 65L05 65L60 PDFBibTeX XMLCite \textit{J. Wu} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 9, 2603--2617 (2020; Zbl 1450.65066) Full Text: DOI
Ravindran, S. S. An efficient long-time stable second-order accurate time-stepping scheme for evolutionary magneto-micropolar flows. (English) Zbl 1443.65220 Comput. Math. Appl. 79, No. 5, 1302-1320 (2020). MSC: 65M60 65M15 76W05 78A25 PDFBibTeX XMLCite \textit{S. S. Ravindran}, Comput. Math. Appl. 79, No. 5, 1302--1320 (2020; Zbl 1443.65220) Full Text: DOI
Yang, Xi A fast null-space method for the unsteady Stokes equations. (English) Zbl 1447.65095 Comput. Math. Appl. 80, No. 5, 1459-1477 (2020). MSC: 65M60 65M06 65F10 65F05 65F60 76D07 35A24 PDFBibTeX XMLCite \textit{X. Yang}, Comput. Math. Appl. 80, No. 5, 1459--1477 (2020; Zbl 1447.65095) Full Text: DOI
Zhao, Jingjun; Zhang, Yanming; Xu, Yang Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation. (English) Zbl 1446.65136 Appl. Numer. Math. 157, 223-235 (2020). MSC: 65M70 65N35 65L06 65D32 35R11 26A33 65M12 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Numer. Math. 157, 223--235 (2020; Zbl 1446.65136) Full Text: DOI
Laiu, M. Paul; Chen, Zheng; Hauck, Cory D. A fast implicit solver for semiconductor models in one space dimension. (English) Zbl 1437.65132 J. Comput. Phys. 417, Article ID 109567, 19 p. (2020). MSC: 65M55 35Q81 65Z05 65M60 PDFBibTeX XMLCite \textit{M. P. Laiu} et al., J. Comput. Phys. 417, Article ID 109567, 19 p. (2020; Zbl 1437.65132) Full Text: DOI arXiv
Ding, Mingchang; Cai, Xiaofeng; Guo, Wei; Qiu, Jing-Mei A semi-Lagrangian discontinuous Galerkin (DG)-local DG method for solving convection-diffusion equations. (English) Zbl 1435.76037 J. Comput. Phys. 409, Article ID 109295, 21 p. (2020). MSC: 76M10 76R10 76R50 65M12 PDFBibTeX XMLCite \textit{M. Ding} et al., J. Comput. Phys. 409, Article ID 109295, 21 p. (2020; Zbl 1435.76037) Full Text: DOI arXiv
Wei, Yichen; Yi, Lijun An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems. (English) Zbl 1441.65068 Adv. Comput. Math. 46, No. 4, Paper No. 56, 25 p. (2020). MSC: 65L60 65L05 65L70 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{L. Yi}, Adv. Comput. Math. 46, No. 4, Paper No. 56, 25 p. (2020; Zbl 1441.65068) Full Text: DOI
Fazeli, S.; Hojjati, G. Second derivative two-step collocation methods for ordinary differential equations. (English) Zbl 1453.65192 Appl. Numer. Math. 156, 514-527 (2020). MSC: 65L60 65L20 PDFBibTeX XMLCite \textit{S. Fazeli} and \textit{G. Hojjati}, Appl. Numer. Math. 156, 514--527 (2020; Zbl 1453.65192) Full Text: DOI
Zhao, Jingjun; Zhang, Yanming; Xu, Yang Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation. (English) Zbl 1449.65283 Comput. Appl. Math. 39, No. 2, Paper No. 47, 27 p. (2020). MSC: 65M70 65M12 65M15 65L06 35R11 26A33 PDFBibTeX XMLCite \textit{J. Zhao} et al., Comput. Appl. Math. 39, No. 2, Paper No. 47, 27 p. (2020; Zbl 1449.65283) Full Text: DOI
Sarkar, Tanmay A priori error analysis of a discontinuous Galerkin scheme for the magnetic induction equation. (English) Zbl 1437.65140 Comput. Methods Appl. Math. 20, No. 1, 121-140 (2020). MSC: 65M60 65L06 65M12 65M15 35B45 76W05 PDFBibTeX XMLCite \textit{T. Sarkar}, Comput. Methods Appl. Math. 20, No. 1, 121--140 (2020; Zbl 1437.65140) Full Text: DOI
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
Bulatov, Mikhail; Solovarova, Liubov Collocation-variation difference schemes with several collocation points for differential-algebraic equations. (English) Zbl 1437.65085 Appl. Numer. Math. 149, 153-163 (2020). MSC: 65L80 65L05 65L60 PDFBibTeX XMLCite \textit{M. Bulatov} and \textit{L. Solovarova}, Appl. Numer. Math. 149, 153--163 (2020; Zbl 1437.65085) Full Text: DOI
Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems. (English) Zbl 1449.65242 Commun. Appl. Math. Comput. 2, No. 1, 31-55 (2020). MSC: 65M60 65R20 45A05 PDFBibTeX XMLCite \textit{Q. Du} et al., Commun. Appl. Math. Comput. 2, No. 1, 31--55 (2020; Zbl 1449.65242) Full Text: DOI
Xu, Yang; Zhang, Yanming; Zhao, Jingjun General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation. (English) Zbl 1433.65142 Appl. Math. Comput. 364, Article ID 124664, 12 p. (2020). MSC: 65L20 65L60 PDFBibTeX XMLCite \textit{Y. Xu} et al., Appl. Math. Comput. 364, Article ID 124664, 12 p. (2020; Zbl 1433.65142) Full Text: DOI
Pulch, Roland Model order reduction for random nonlinear dynamical systems and low-dimensional representations for their quantities of interest. (English) Zbl 07316759 Math. Comput. Simul. 166, 76-92 (2019). MSC: 65Dxx 65Hxx 65Lxx 65Gxx 65Fxx PDFBibTeX XMLCite \textit{R. Pulch}, Math. Comput. Simul. 166, 76--92 (2019; Zbl 07316759) Full Text: DOI arXiv
Loppi, N. A.; Witherden, F. D.; Jameson, A.; Vincent, P. E. Locally adaptive pseudo-time stepping for high-order flux reconstruction. (English) Zbl 1453.65335 J. Comput. Phys. 399, Article ID 108913, 18 p. (2019). MSC: 65M60 76D05 65M50 76M10 PDFBibTeX XMLCite \textit{N. A. Loppi} et al., J. Comput. Phys. 399, Article ID 108913, 18 p. (2019; Zbl 1453.65335) Full Text: DOI Link
De Oliveira Vilaca, Luis Miguel; Milinkovitch, Michel C.; Ruiz-Baier, Ricardo Numerical approximation of a 3D mechanochemical interface model for skin patterning. (English) Zbl 1451.65144 J. Comput. Phys. 384, 383-404 (2019). MSC: 65M60 65Z05 92C15 74F10 76V05 76R50 76M10 PDFBibTeX XMLCite \textit{L. M. De Oliveira Vilaca} et al., J. Comput. Phys. 384, 383--404 (2019; Zbl 1451.65144) Full Text: DOI arXiv
Vermeire, B. C.; Loppi, N. A.; Vincent, P. E. Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods. (English) Zbl 1451.65112 J. Comput. Phys. 383, 55-71 (2019). MSC: 65M06 65M60 65L06 76D05 76F65 PDFBibTeX XMLCite \textit{B. C. Vermeire} et al., J. Comput. Phys. 383, 55--71 (2019; Zbl 1451.65112) Full Text: DOI
Nigro, Alessandra; De Bartolo, C.; Crivellini, A.; Franciolini, M.; Colombo, A.; Bassi, F. A low-dissipation DG method for the under-resolved simulation of low Mach number turbulent flows. (English) Zbl 1442.65270 Comput. Math. Appl. 77, No. 6, 1739-1755 (2019). MSC: 65M60 76D05 76M10 PDFBibTeX XMLCite \textit{A. Nigro} et al., Comput. Math. Appl. 77, No. 6, 1739--1755 (2019; Zbl 1442.65270) Full Text: DOI
Cortes Garcia, Idoia; Schöps, Sebastian; De Gersem, Herbert; Baumanns, Sascha Systems of differential algebraic equations in computational electromagnetics. (English) Zbl 1444.78001 Campbell, Stephen (ed.) et al., Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. Differ.-Algebr. Equ. Forum, 123-169 (2019). MSC: 78A25 78M12 78M10 34A09 65L80 78-02 PDFBibTeX XMLCite \textit{I. Cortes Garcia} et al., in: Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. 123--169 (2019; Zbl 1444.78001) Full Text: DOI arXiv
Wang, Haijin; Zhang, Qiang; Shu, Chi-Wang Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems. (English) Zbl 1434.65195 J. Sci. Comput. 81, No. 3, 2080-2114 (2019). MSC: 65M60 65M12 65M15 65L06 35K15 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Sci. Comput. 81, No. 3, 2080--2114 (2019; Zbl 1434.65195) Full Text: DOI
Breckling, Sean; Shields, Sidney The long-time \(L^2\) and \(H^1\) stability of linearly extrapolated second-order time-stepping schemes for the 2D incompressible Navier-Stokes equations. (English) Zbl 1428.76097 Appl. Math. Comput. 342, 263-279 (2019). MSC: 76M10 65M60 65M12 76D05 35Q30 PDFBibTeX XMLCite \textit{S. Breckling} and \textit{S. Shields}, Appl. Math. Comput. 342, 263--279 (2019; Zbl 1428.76097) Full Text: DOI
Eisenmann, Monika; Kovács, Mihály; Kruse, Raphael; Larsson, Stig On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients. (English) Zbl 07135262 Found. Comput. Math. 19, No. 6, 1387-1430 (2019). MSC: 65C05 65L05 65L20 65M12 65M60 PDFBibTeX XMLCite \textit{M. Eisenmann} et al., Found. Comput. Math. 19, No. 6, 1387--1430 (2019; Zbl 07135262) Full Text: DOI arXiv
Moradi, Afsaneh; Farzi, Javad; Abdi, Ali Strong stability preserving second derivative general linear methods. (English) Zbl 1427.65110 J. Sci. Comput. 81, No. 1, 392-435 (2019). MSC: 65L05 65L06 34A34 65L60 65L20 65L50 PDFBibTeX XMLCite \textit{A. Moradi} et al., J. Sci. Comput. 81, No. 1, 392--435 (2019; Zbl 1427.65110) Full Text: DOI
Kovács, Balázs; Li, Buyang; Lubich, Christian A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. (English) Zbl 1427.65250 Numer. Math. 143, No. 4, 797-853 (2019). MSC: 65M60 65M15 65M12 35R01 PDFBibTeX XMLCite \textit{B. Kovács} et al., Numer. Math. 143, No. 4, 797--853 (2019; Zbl 1427.65250) Full Text: DOI arXiv
Englert, Tobias; Völz, Andreas; Mesmer, Felix; Rhein, Sönke; Graichen, Knut A software framework for embedded nonlinear model predictive control using a gradient-based augmented Lagrangian approach (GRAMPC). (English) Zbl 07123819 Optim. Eng. 20, No. 3, 769-809 (2019). MSC: 65Kxx 35Kxx 35Jxx 65Nxx 65Mxx 35K15 65M60 65K05 65N30 35J25 PDFBibTeX XMLCite \textit{T. Englert} et al., Optim. Eng. 20, No. 3, 769--809 (2019; Zbl 07123819) Full Text: DOI arXiv
van der Vegt, J. J. W.; Xia, Yinhua; Xu, Yan Positivity preserving limiters for time-implicit higher order accurate discontinuous Galerkin discretizations. (English) Zbl 1503.65249 SIAM J. Sci. Comput. 41, No. 3, A2037-A2063 (2019). MSC: 65M60 65K15 65N22 65L06 65H10 35Q53 49M41 PDFBibTeX XMLCite \textit{J. J. W. van der Vegt} et al., SIAM J. Sci. Comput. 41, No. 3, A2037--A2063 (2019; Zbl 1503.65249) Full Text: DOI arXiv
Wang, Bin; Wu, Xinyuan Exponential collocation methods for conservative or dissipative systems. (English) Zbl 1418.65093 J. Comput. Appl. Math. 360, 99-116 (2019). MSC: 65L60 65L05 65P10 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, J. Comput. Appl. Math. 360, 99--116 (2019; Zbl 1418.65093) Full Text: DOI arXiv
Hoppe, Ronald H. W.; Linsenmann, Christopher \(\mathrm{C}^0\)-interior penalty discontinuous Galerkin approximation of a sixth-order Cahn-Hilliard equation modeling microemulsification processes. (English) Zbl 1418.65131 Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 297-325 (2019). MSC: 65M60 65M15 65L80 65L06 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{C. Linsenmann}, Comput. Methods Appl. Sci. 47, 297--325 (2019; Zbl 1418.65131) Full Text: DOI
Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. (English) Zbl 1416.65343 J. Comput. Phys. 376, 455-477 (2019). MSC: 65M60 35R09 45K05 65L60 65L06 PDFBibTeX XMLCite \textit{M. M. Crockatt} et al., J. Comput. Phys. 376, 455--477 (2019; Zbl 1416.65343) Full Text: DOI
Du, Qiang; Ju, Lili; Lu, Jianfang Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. (English) Zbl 1419.65058 J. Sci. Comput. 78, No. 3, 1438-1466 (2019). MSC: 65M60 65R20 65L06 65L07 45A05 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Sci. Comput. 78, No. 3, 1438--1466 (2019; Zbl 1419.65058) Full Text: DOI
Benner, Peter; Goyal, Pawan An iterative model reduction scheme for quadratic-bilinear descriptor systems with an application to Navier-Stokes equations. (English) Zbl 1416.76095 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 1-19 (2018). MSC: 76M10 65N30 65M06 65L60 65L80 34C20 35Q30 76D05 65F15 65D05 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Goyal}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 1--19 (2018; Zbl 1416.76095) Full Text: DOI arXiv
DiPietro, Kelsey L.; Haynes, Ronald D.; Huang, Weizhang; Lindsay, Alan E.; Yu, Yufei Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems. (English) Zbl 1416.65345 J. Comput. Phys. 375, 763-782 (2018). MSC: 65M60 35K52 65M50 82D80 PDFBibTeX XMLCite \textit{K. L. DiPietro} et al., J. Comput. Phys. 375, 763--782 (2018; Zbl 1416.65345) Full Text: DOI arXiv
Arrarás, A.; Portero, L. Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems. (English) Zbl 1426.76215 Appl. Math. Comput. 319, 662-680 (2018). MSC: 76M10 65M60 35K20 65M55 68W10 76S05 PDFBibTeX XMLCite \textit{A. Arrarás} and \textit{L. Portero}, Appl. Math. Comput. 319, 662--680 (2018; Zbl 1426.76215) Full Text: DOI arXiv Link
Ehigie, J. O.; Okunuga, S. A. A new collocation formulation for the block Falkner-type methods with trigonometric coefficients for oscillatory second order ordinary differential equations. (English) Zbl 1413.65265 Afr. Mat. 29, No. 3-4, 531-555 (2018). MSC: 65L05 65L06 65L60 65L20 PDFBibTeX XMLCite \textit{J. O. Ehigie} and \textit{S. A. Okunuga}, Afr. Mat. 29, No. 3--4, 531--555 (2018; Zbl 1413.65265) Full Text: DOI
Kovács, Balázs; Lubich, Christian Linearly implicit full discretization of surface evolution. (English) Zbl 1401.65105 Numer. Math. 140, No. 1, 121-152 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 35R01 65M15 65M12 PDFBibTeX XMLCite \textit{B. Kovács} and \textit{C. Lubich}, Numer. Math. 140, No. 1, 121--152 (2018; Zbl 1401.65105) Full Text: DOI arXiv
Lehrenfeld, Christoph; Olshanskii, Maxim A.; Xu, Xianmin A stabilized trace finite element method for partial differential equations on evolving surfaces. (English) Zbl 1402.65112 SIAM J. Numer. Anal. 56, No. 3, 1643-1672 (2018). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M60 65M12 65M22 65L06 PDFBibTeX XMLCite \textit{C. Lehrenfeld} et al., SIAM J. Numer. Anal. 56, No. 3, 1643--1672 (2018; Zbl 1402.65112) Full Text: DOI arXiv
Helenbrook, B. T.; Hrdina, J. High-order adaptive arbitrary-Lagrangian-Eulerian (ALE) simulations of solidification. (English) Zbl 1390.80018 Comput. Fluids 167, 40-50 (2018). MSC: 80M10 65M60 80A22 PDFBibTeX XMLCite \textit{B. T. Helenbrook} and \textit{J. Hrdina}, Comput. Fluids 167, 40--50 (2018; Zbl 1390.80018) Full Text: DOI
Karasözen, Bülent; Uzunca, Murat; Sariaydin-Filibelioğlu, Ayşe; Yücel, Hamdullah Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation. (English) Zbl 1404.65173 Int. J. Comput. Methods 15, No. 3, Article ID 1850013, 26 p. (2018). MSC: 65M60 65M12 65M50 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Int. J. Comput. Methods 15, No. 3, Article ID 1850013, 26 p. (2018; Zbl 1404.65173) Full Text: DOI arXiv
Hundsdorfer, W.; in’t Hout, K. J. On multistep stabilizing correction splitting methods with applications to the Heston model. (English) Zbl 1446.65057 SIAM J. Sci. Comput. 40, No. 3, A1408-A1429 (2018). MSC: 65L60 65L20 PDFBibTeX XMLCite \textit{W. Hundsdorfer} and \textit{K. J. in't Hout}, SIAM J. Sci. Comput. 40, No. 3, A1408--A1429 (2018; Zbl 1446.65057) Full Text: DOI arXiv
Garrett, C. Kristopher; Hauck, Cory D. A fast solver for implicit integration of the Vlasov-Poisson system in the Eulerian framework. (English) Zbl 1397.76067 SIAM J. Sci. Comput. 40, No. 2, B483-B506 (2018). MSC: 76M10 65M60 65M55 76X05 PDFBibTeX XMLCite \textit{C. K. Garrett} and \textit{C. D. Hauck}, SIAM J. Sci. Comput. 40, No. 2, B483--B506 (2018; Zbl 1397.76067) Full Text: DOI
Lu, Changna; Huang, Weizhang; Qiu, Jianxian An adaptive moving mesh finite element solution of the regularized long wave equation. (English) Zbl 1383.65125 J. Sci. Comput. 74, No. 1, 122-144 (2018). MSC: 65M60 35L75 65M50 65M12 PDFBibTeX XMLCite \textit{C. Lu} et al., J. Sci. Comput. 74, No. 1, 122--144 (2018; Zbl 1383.65125) Full Text: DOI arXiv
Vermeire, B. C.; Vincent, P. E. On the behaviour of fully-discrete flux reconstruction schemes. (English) Zbl 1439.65121 Comput. Methods Appl. Mech. Eng. 315, 1053-1079 (2017). MSC: 65M60 65L06 PDFBibTeX XMLCite \textit{B. C. Vermeire} and \textit{P. E. Vincent}, Comput. Methods Appl. Mech. Eng. 315, 1053--1079 (2017; Zbl 1439.65121) Full Text: DOI