Fish, Alex C.; Reynolds, Daniel R.; Roberts, Steven B. Implicit-explicit multirate infinitesimal stage-restart methods. (English) Zbl 1522.65113 J. Comput. Appl. Math. 438, Article ID 115534, 23 p. (2024). MSC: 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{A. C. Fish} et al., J. Comput. Appl. Math. 438, Article ID 115534, 23 p. (2024; Zbl 1522.65113) Full Text: DOI arXiv
Martens, Björn Error estimates for Runge-Kutta schemes of optimal control problems with index 1 DAEs. (English) Zbl 07786402 Comput. Optim. Appl. 86, No. 3, 1299-1325 (2023). MSC: 90Cxx 49J15 49K15 49M25 34A09 65L06 PDFBibTeX XMLCite \textit{B. Martens}, Comput. Optim. Appl. 86, No. 3, 1299--1325 (2023; Zbl 07786402) Full Text: DOI OA License
Buvoli, Tommaso; Southworth, Ben S. Additive polynomial time integrators. I: Framework and fully implicit-explicit collocation methods. (English) Zbl 07779194 SIAM J. Sci. Comput. 45, No. 6, A2945-A2972 (2023). MSC: 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{T. Buvoli} and \textit{B. S. Southworth}, SIAM J. Sci. Comput. 45, No. 6, A2945--A2972 (2023; Zbl 07779194) Full Text: DOI arXiv
Jay, Laurent O.; Sokratova, Olga A note on approximate Jacobians of implicit Runge-Kutta methods and convergence of modified Newton iterations. (English) Zbl 07771237 BIT 63, No. 4, Paper No. 54, 15 p. (2023). MSC: 65L05 65L06 65L80 70F20 70H03 70H05 70H45 PDFBibTeX XMLCite \textit{L. O. Jay} and \textit{O. Sokratova}, BIT 63, No. 4, Paper No. 54, 15 p. (2023; Zbl 07771237) Full Text: DOI
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
Thomann, Andrea; Iollo, Angelo; Puppo, Gabriella Implicit relaxed all Mach number schemes for gases and compressible materials. (English) Zbl 1525.65088 SIAM J. Sci. Comput. 45, No. 5, A2632-A2656 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65L04 65L06 76M12 76M20 76N15 74B20 74F10 74S10 74S20 35L65 35Q31 PDFBibTeX XMLCite \textit{A. Thomann} et al., SIAM J. Sci. Comput. 45, No. 5, A2632--A2656 (2023; Zbl 1525.65088) Full Text: DOI arXiv
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
Plunder, Steffen; Simeon, Bernd The mean-field limit for particle systems with uniform full-rank constraints. (English) Zbl 1528.70021 Kinet. Relat. Models 16, No. 6, 884-912 (2023). MSC: 70F45 34A09 PDFBibTeX XMLCite \textit{S. Plunder} and \textit{B. Simeon}, Kinet. Relat. Models 16, No. 6, 884--912 (2023; Zbl 1528.70021) Full Text: DOI arXiv
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
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
Sebastiano, Boscarino High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. (English) Zbl 07708312 J. Sci. Comput. 96, No. 1, Paper No. 11, 31 p. (2023). MSC: 65-XX 35G25 65M06 65M20 65L05 65L06 PDFBibTeX XMLCite \textit{B. Sebastiano}, J. Sci. Comput. 96, No. 1, Paper No. 11, 31 p. (2023; Zbl 07708312) Full Text: DOI
She, Zi-Hang; Qiu, Li-Min Fast TTTS iteration methods for implicit Runge-Kutta temporal discretization of Riesz space fractional advection-diffusion equations. (English) Zbl 07691966 Comput. Math. Appl. 141, 42-53 (2023). MSC: 65F10 35R11 65M06 65F08 65F35 PDFBibTeX XMLCite \textit{Z.-H. She} and \textit{L.-M. Qiu}, Comput. Math. Appl. 141, 42--53 (2023; Zbl 07691966) Full Text: DOI
Yan, Xiaoqiang; Qian, Xu; Zhang, Hong; Song, Songhe; Cheng, Xiujun Solving nonlinear delay-differential-algebraic equations with singular perturbation via block boundary value methods. (English) Zbl 07661755 J. Comput. Math. 41, No. 4, 619-638 (2023). MSC: 65-XX 65L80 65L20 34K32 34K26 PDFBibTeX XMLCite \textit{X. Yan} et al., J. Comput. Math. 41, No. 4, 619--638 (2023; Zbl 07661755) Full Text: DOI
Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems. (English) Zbl 07652817 J. Comput. Phys. 477, Article ID 111925, 19 p. (2023). MSC: 65Lxx 65Mxx 65Pxx PDFBibTeX XMLCite \textit{D. Li} et al., J. Comput. Phys. 477, Article ID 111925, 19 p. (2023; Zbl 07652817) Full Text: DOI
Solovarova, Lyubov’ Stepanovna; Phuong, Ta Duy On the numerical solution of second-order stiff linear differential-algebraic equations. (Russian. English summary) Zbl 1524.65300 Zh. Sredn. Mat. Obshch. 24, No. 2, 151-161 (2022). MSC: 65L80 34A09 65L04 65L12 65L20 PDFBibTeX XMLCite \textit{L. S. Solovarova} and \textit{T. D. Phuong}, Zh. Sredn. Mat. Obshch. 24, No. 2, 151--161 (2022; Zbl 1524.65300) Full Text: DOI MNR
Bulatov, M. V.; Solovarova, L. S. On a certain class of quasilinear second-order differential-algebraic equations. (English. Russian original) Zbl 1514.34029 J. Math. Sci., New York 268, No. 1, 15-23 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 17-25 (2019). MSC: 34A09 34A12 PDFBibTeX XMLCite \textit{M. V. Bulatov} and \textit{L. S. Solovarova}, J. Math. Sci., New York 268, No. 1, 15--23 (2022; Zbl 1514.34029); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 17--25 (2019) Full Text: DOI
Glandon, Steven R.; Narayanamurthi, Mahesh; Sandu, Adrian Linearly implicit multistep methods for time integration. (English) Zbl 1501.65024 SIAM J. Sci. Comput. 44, No. 6, A3437-A3462 (2022). MSC: 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{S. R. Glandon} et al., SIAM J. Sci. Comput. 44, No. 6, A3437--A3462 (2022; Zbl 1501.65024) Full Text: DOI arXiv
De Luna, Manuel Quezada; Ketcheson, David I. Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations. (English) Zbl 1503.65198 J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 65N08 65M12 35L65 76R50 76M12 76M20 PDFBibTeX XMLCite \textit{M. Q. De Luna} and \textit{D. I. Ketcheson}, J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022; Zbl 1503.65198) Full Text: DOI arXiv
Skvortsov, L. M. Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems. (English. Russian original) Zbl 1496.65100 Comput. Math. Math. Phys. 62, No. 5, 766-783 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 790-808 (2022). MSC: 65L06 65L04 65L80 PDFBibTeX XMLCite \textit{L. M. Skvortsov}, Comput. Math. Math. Phys. 62, No. 5, 766--783 (2022; Zbl 1496.65100); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 790--808 (2022) Full Text: DOI
Lopez, L.; Maset, S. Numerical event location techniques in discontinuous differential algebraic equations. (English) Zbl 1495.65129 Appl. Numer. Math. 178, 98-122 (2022). MSC: 65L80 34A09 PDFBibTeX XMLCite \textit{L. Lopez} and \textit{S. Maset}, Appl. Numer. Math. 178, 98--122 (2022; Zbl 1495.65129) Full Text: DOI
Shi, Wenjie; Tartakovsky, Daniel M. Polynomial chaos expansions for stiff random ODEs. (English) Zbl 1492.65017 SIAM J. Sci. Comput. 44, No. 3, A1021-A1046 (2022). MSC: 65C20 65C30 60H35 65L04 65L06 PDFBibTeX XMLCite \textit{W. Shi} and \textit{D. M. Tartakovsky}, SIAM J. Sci. Comput. 44, No. 3, A1021--A1046 (2022; Zbl 1492.65017) Full Text: DOI
Dujardin, Guillaume; Lacroix-Violet, Ingrid High order linearly implicit methods for evolution equations. (English) Zbl 1503.65260 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 743-766 (2022). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65M70 65N06 65L20 65L06 65M12 81Q05 35Q41 35Q55 35K05 PDFBibTeX XMLCite \textit{G. Dujardin} and \textit{I. Lacroix-Violet}, ESAIM, Math. Model. Numer. Anal. 56, No. 3, 743--766 (2022; Zbl 1503.65260) Full Text: DOI arXiv
Zhang, Huimin; Zhang, Runsen; Zanoni, Andrea; Masarati, Pierangelo Performance of implicit A-stable time integration methods for multibody system dynamics. (English) Zbl 1492.70008 Multibody Syst. Dyn. 54, No. 3, 263-301 (2022). MSC: 70E55 PDFBibTeX XMLCite \textit{H. Zhang} et al., Multibody Syst. Dyn. 54, No. 3, 263--301 (2022; Zbl 1492.70008) Full Text: DOI
Tan, Zengqiang; Zhang, Chengjian Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods. (English) Zbl 07487719 Math. Comput. Simul. 196, 68-87 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Z. Tan} and \textit{C. Zhang}, Math. Comput. Simul. 196, 68--87 (2022; Zbl 07487719) Full Text: DOI
Bragin, Michael D. High-order bicompact schemes for the quasilinear multidimensional diffusion equation. (English) Zbl 1486.65095 Appl. Numer. Math. 174, 112-126 (2022). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65M20 65N08 65L06 PDFBibTeX XMLCite \textit{M. D. Bragin}, Appl. Numer. Math. 174, 112--126 (2022; Zbl 1486.65095) Full Text: DOI
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
Ehigie, Julius O.; Luan, Vu Thai; Okunuga, Solomon A.; You, Xiong Exponentially fitted two-derivative DIRK methods for oscillatory differential equations. (English) Zbl 1510.65143 Appl. Math. Comput. 418, Article ID 126770, 23 p. (2022). MSC: 65L06 34C10 PDFBibTeX XMLCite \textit{J. O. Ehigie} et al., Appl. Math. Comput. 418, Article ID 126770, 23 p. (2022; Zbl 1510.65143) Full Text: DOI arXiv
Li, Jinze; Zhao, Rui; Yu, Kaiping; Li, Xiangyang Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics. (English) Zbl 1507.65118 Comput. Methods Appl. Mech. Eng. 389, Article ID 114274, 49 p. (2022). MSC: 65L05 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114274, 49 p. (2022; Zbl 1507.65118) Full Text: DOI
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes Efficient implementation of advanced Richardson extrapolation in an atmospheric chemical scheme. (English) Zbl 1481.92192 J. Math. Chem. 60, No. 1, 219-238 (2022). MSC: 92E20 86A10 PDFBibTeX XMLCite \textit{Z. Zlatev} et al., J. Math. Chem. 60, No. 1, 219--238 (2022; Zbl 1481.92192) Full Text: DOI
Buvoli, Tommaso; Minion, Michael IMEX Runge-Kutta parareal for non-diffusive equations. (English) Zbl 1509.65064 Ong, Benjamin (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. Cham: Springer. Springer Proc. Math. Stat. 356, 95-127 (2021). MSC: 65L06 65Y05 65Y20 65M12 65M55 PDFBibTeX XMLCite \textit{T. Buvoli} and \textit{M. Minion}, Springer Proc. Math. Stat. 356, 95--127 (2021; Zbl 1509.65064) Full Text: DOI arXiv
Olatunji, P. O.; Ikhile, M. N. O. FSAL mono-implicit Nordsieck general linear methods with inherent Runge-Kutta stability for DAEs. (English) Zbl 1492.65225 J. Korean Soc. Ind. Appl. Math. 25, No. 4, 262-295 (2021). MSC: 65L80 65L05 65L06 65H05 34A06 PDFBibTeX XMLCite \textit{P. O. Olatunji} and \textit{M. N. O. Ikhile}, J. Korean Soc. Ind. Appl. Math. 25, No. 4, 262--295 (2021; Zbl 1492.65225) Full Text: DOI
Ogunfeyitimi, S. E.; Ikhile, M. N. O. Implicit-explicit second derivative LMM for stiff ordinary differential equations. (English) Zbl 1497.65110 J. Korean Soc. Ind. Appl. Math. 25, No. 4, 224-261 (2021). MSC: 65L06 65L04 PDFBibTeX XMLCite \textit{S. E. Ogunfeyitimi} and \textit{M. N. O. Ikhile}, J. Korean Soc. Ind. Appl. Math. 25, No. 4, 224--261 (2021; Zbl 1497.65110) Full Text: DOI
Huang, Bin; Xiao, Aiguo; Zhang, Gengen Implicit-explicit Runge-Kutta-Rosenbrock methods with error analysis for nonlinear stiff differential equations. (English) Zbl 1499.65267 J. Comput. Math. 39, No. 4, 599-620 (2021). MSC: 65L04 65L20 65L06 PDFBibTeX XMLCite \textit{B. Huang} et al., J. Comput. Math. 39, No. 4, 599--620 (2021; Zbl 1499.65267) Full Text: DOI
Vermeire, Brian C.; Hedayati Nasab, Siavash Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems. (English) Zbl 07500754 J. Comput. Phys. 429, Article ID 110022, 23 p. (2021). MSC: 65Lxx 65Mxx 65Yxx PDFBibTeX XMLCite \textit{B. C. Vermeire} and \textit{S. Hedayati Nasab}, J. Comput. Phys. 429, Article ID 110022, 23 p. (2021; Zbl 07500754) Full Text: DOI
Albi, Giacomo; Pareschi, Lorenzo High order semi-implicit multistep methods for time-dependent partial differential equations. (English) Zbl 1499.65300 Commun. Appl. Math. Comput. 3, No. 4, 701-718 (2021). MSC: 65L06 65M06 65M12 PDFBibTeX XMLCite \textit{G. Albi} and \textit{L. Pareschi}, Commun. Appl. Math. Comput. 3, No. 4, 701--718 (2021; Zbl 1499.65300) Full Text: DOI arXiv
Jiao, Xiangmin; Wang, Xuebin; Chen, Qiao Optimal and low-memory near-optimal preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs. (English) Zbl 07418132 SIAM J. Sci. Comput. 43, No. 5, A3527-A3551 (2021). MSC: 65F08 65F50 65M99 PDFBibTeX XMLCite \textit{X. Jiao} et al., SIAM J. Sci. Comput. 43, No. 5, A3527--A3551 (2021; Zbl 07418132) Full Text: DOI arXiv
Rana, Md. Masud; Howle, Victoria E.; Long, Katharine; Meek, Ashley; Milestone, William A new block preconditioner for implicit Runge-Kutta methods for parabolic PDE problems. (English) Zbl 07418116 SIAM J. Sci. Comput. 43, No. 5, S475-S495 (2021). MSC: 65F08 PDFBibTeX XMLCite \textit{Md. M. Rana} et al., SIAM J. Sci. Comput. 43, No. 5, S475--S495 (2021; Zbl 07418116) Full Text: DOI arXiv
Chinomona, Rujeko; Reynolds, Daniel R. Implicit-explicit multirate infinitesimal GARK methods. (English) Zbl 07395805 SIAM J. Sci. Comput. 43, No. 5, A3082-A3113 (2021). MSC: 65L04 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{R. Chinomona} and \textit{D. R. Reynolds}, SIAM J. Sci. Comput. 43, No. 5, A3082--A3113 (2021; Zbl 07395805) Full Text: DOI arXiv
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
Samoilenko, A. M.; Samusenko, P. F. Asymptotic integration of singularly perturbed differential algebraic equations with turning points. I. (English. Ukrainian original) Zbl 1472.34110 Ukr. Math. J. 72, No. 12, 1928-1943 (2021); translation from Ukr. Mat. Zh. 72, No. 12, 1669-1681 (2021). Reviewer: Robert Vrabel (Trnava) MSC: 34E20 34A09 34E05 PDFBibTeX XMLCite \textit{A. M. Samoilenko} and \textit{P. F. Samusenko}, Ukr. Math. J. 72, No. 12, 1928--1943 (2021; Zbl 1472.34110); translation from Ukr. Mat. Zh. 72, No. 12, 1669--1681 (2021) Full Text: DOI
DeCaria, Victor P.; Hauck, Cory D.; Laiu, Ming Tse P. Analysis of a new implicit solver for a semiconductor model. (English) Zbl 1471.65121 SIAM J. Sci. Comput. 43, No. 3, B733-B758 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M12 65M55 35Q81 35Q83 35Q20 35Q60 PDFBibTeX XMLCite \textit{V. P. DeCaria} et al., SIAM J. Sci. Comput. 43, No. 3, B733--B758 (2021; Zbl 1471.65121) Full Text: DOI arXiv
Tuzov, Anton An implicit-explicit method of third order for stiff ODEs. (English) Zbl 1474.65206 Mat. Vesn. 73, No. 2, 119-130 (2021). MSC: 65L04 65L05 65L20 PDFBibTeX XMLCite \textit{A. Tuzov}, Mat. Vesn. 73, No. 2, 119--130 (2021; Zbl 1474.65206) Full Text: Link Link
Bragin, M. D.; Rogov, B. V. Bicompact schemes for the multidimensional convection-diffusion equation. (English. Russian original) Zbl 1476.65213 Comput. Math. Math. Phys. 61, No. 4, 607-624 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 625-643 (2021). MSC: 65M20 65M08 65L06 65D05 65F10 65F05 65M12 76R50 PDFBibTeX XMLCite \textit{M. D. Bragin} and \textit{B. V. Rogov}, Comput. Math. Math. Phys. 61, No. 4, 607--624 (2021; Zbl 1476.65213); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 625--643 (2021) Full Text: DOI
Martens, Björn; Gerdts, Matthias Convergence analysis for approximations of optimal control problems subject to higher index differential-algebraic equations and pure state constraints. (English) Zbl 1466.49028 SIAM J. Control Optim. 59, No. 3, 1903-1926 (2021). MSC: 49M25 34A09 47H14 49J15 49J30 49K15 PDFBibTeX XMLCite \textit{B. Martens} and \textit{M. Gerdts}, SIAM J. Control Optim. 59, No. 3, 1903--1926 (2021; Zbl 1466.49028) Full Text: DOI
Roberts, Steven; Loffeld, John; Sarshar, Arash; Woodward, Carol S.; Sandu, Adrian Implicit multirate GARK methods. (English) Zbl 1471.65084 J. Sci. Comput. 87, No. 1, Paper No. 4, 32 p. (2021). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{S. Roberts} et al., J. Sci. Comput. 87, No. 1, Paper No. 4, 32 p. (2021; Zbl 1471.65084) Full Text: DOI arXiv
Egger, H.; Schmidt, K.; Shashkov, V. Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. (English) Zbl 1458.65082 J. Comput. Appl. Math. 387, Article ID 112618, 15 p. (2021). MSC: 65L06 34A09 PDFBibTeX XMLCite \textit{H. Egger} et al., J. Comput. Appl. Math. 387, Article ID 112618, 15 p. (2021; Zbl 1458.65082) Full Text: DOI arXiv
Schneider, Moritz; Lang, Jens; Weiner, Rüdiger Super-convergent implicit-explicit peer methods with variable step sizes. (English) Zbl 1458.65089 J. Comput. Appl. Math. 387, Article ID 112501, 17 p. (2021). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{M. Schneider} et al., J. Comput. Appl. Math. 387, Article ID 112501, 17 p. (2021; Zbl 1458.65089) Full Text: DOI arXiv
Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1. (English) Zbl 1458.65103 J. Comput. Appl. Math. 387, Article ID 112499, 13 p. (2021). MSC: 65L80 65L05 PDFBibTeX XMLCite \textit{C. Hachtel} et al., J. Comput. Appl. Math. 387, Article ID 112499, 13 p. (2021; Zbl 1458.65103) Full Text: DOI
Dieci, L.; Elia, C.; Lopez, Luciano On Filippov solutions of discontinuous DAEs of index 1. (English) Zbl 1468.34022 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105656, 21 p. (2021). Reviewer: Vu Hoang Linh (Hanoi) MSC: 34A36 34A09 34E15 65L80 PDFBibTeX XMLCite \textit{L. Dieci} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105656, 21 p. (2021; Zbl 1468.34022) Full Text: DOI
Crockatt, Michael M.; Christlieb, Andrew J.; Hauck, Cory D. Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. (English) Zbl 07508388 J. Comput. Phys. 422, Article ID 109765, 28 p. (2020). MSC: 65-XX 83-XX PDFBibTeX XMLCite \textit{M. M. Crockatt} et al., J. Comput. Phys. 422, Article ID 109765, 28 p. (2020; Zbl 07508388) Full Text: DOI Link
Tan, Zengqiang; Zhang, Chengjian Solving semi-linear stiff neutral equations by implicit-explicit Runge-Kutta methods. (English) Zbl 1480.65159 Int. J. Comput. Math. 97, No. 12, 2561-2581 (2020). MSC: 65L03 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{C. Zhang}, Int. J. Comput. Math. 97, No. 12, 2561--2581 (2020; Zbl 1480.65159) Full Text: DOI
Baeza, Antonio; Bürger, Raimund; Martí, María del Carmen; Mulet, Pep; Zorío, David On approximate implicit Taylor methods for ordinary differential equations. (English) Zbl 1476.65122 Comput. Appl. Math. 39, No. 4, Paper No. 304, 21 p. (2020). MSC: 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{A. Baeza} et al., Comput. Appl. Math. 39, No. 4, Paper No. 304, 21 p. (2020; Zbl 1476.65122) Full Text: DOI
Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai; King, Danielle N. A third order, implicit, finite volume, adaptive Runge-Kutta WENO scheme for advection-diffusion equations. (English) Zbl 1506.76108 Comput. Methods Appl. Mech. Eng. 368, Article ID 113155, 24 p. (2020). MSC: 76M12 65M08 65M12 65M20 PDFBibTeX XMLCite \textit{T. Arbogast} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113155, 24 p. (2020; Zbl 1506.76108) 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
Akrivis, Georgios; Katsoprinakis, Emmanouil An analogue to the a \((\vartheta)\)-stability concept for implicit-explicit BDF methods. (English) Zbl 1457.65031 SIAM J. Numer. Anal. 58, No. 6, 3475-3503 (2020). MSC: 65L06 65L20 65L04 PDFBibTeX XMLCite \textit{G. Akrivis} and \textit{E. Katsoprinakis}, SIAM J. Numer. Anal. 58, No. 6, 3475--3503 (2020; Zbl 1457.65031) Full Text: DOI
Plunder, Steffen; Simeon, Bernd Coupled systems of linear differential-algebraic and kinetic equations with application to the mathematical modelling of muscle tissue. (English) Zbl 1456.34051 Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 357-395 (2020). MSC: 34C60 92C32 34A38 65L80 93C15 34A09 PDFBibTeX XMLCite \textit{S. Plunder} and \textit{B. Simeon}, in: Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17--20, 2019. Cham: Springer. 357--395 (2020; Zbl 1456.34051) Full Text: DOI arXiv
Ngo, Hoang-Long; Taguchi, Dai Semi-implicit Euler-Maruyama approximation for noncolliding particle systems. (English) Zbl 1464.60083 Ann. Appl. Probab. 30, No. 2, 673-705 (2020). MSC: 60K35 60H35 PDFBibTeX XMLCite \textit{H.-L. Ngo} and \textit{D. Taguchi}, Ann. Appl. Probab. 30, No. 2, 673--705 (2020; Zbl 1464.60083) Full Text: DOI arXiv Euclid
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
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
Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. (English) Zbl 1449.65149 Comput. Appl. Math. 39, No. 3, Paper No. 171, 12 p. (2020). MSC: 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{D. Conte} et al., Comput. Appl. Math. 39, No. 3, Paper No. 171, 12 p. (2020; Zbl 1449.65149) Full Text: DOI
Sandu, Adrian Convergence results for implicit-explicit general linear methods. (English) Zbl 1453.65167 Appl. Numer. Math. 156, 242-264 (2020). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{A. Sandu}, Appl. Numer. Math. 156, 242--264 (2020; Zbl 1453.65167) Full Text: DOI arXiv
Jiang, Canghua; Guo, Zhiqiang; Li, Xin; Wang, Hai; Yu, Ming An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints. (English) Zbl 1434.65205 Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1845-1865 (2020). MSC: 65M70 49M15 90C30 PDFBibTeX XMLCite \textit{C. Jiang} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1845--1865 (2020; Zbl 1434.65205) 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
Kulikov, G. Yu.; Weiner, R. Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations. (English) Zbl 1437.65062 Appl. Numer. Math. 154, 223-242 (2020). MSC: 65L04 65L70 65G20 PDFBibTeX XMLCite \textit{G. Yu. Kulikov} and \textit{R. Weiner}, Appl. Numer. Math. 154, 223--242 (2020; Zbl 1437.65062) Full Text: DOI
Chen, Hao; Xu, Dongping Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations. (English) Zbl 1436.65165 Numer. Algorithms 83, No. 4, 1349-1372 (2020). MSC: 65N22 65N06 65L06 65F08 65F10 15A18 26A33 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{D. Xu}, Numer. Algorithms 83, No. 4, 1349--1372 (2020; Zbl 1436.65165) Full Text: DOI
González-Pinto, S.; Hairer, E.; Hernandez-Abreu, Domingo Convergence in \(\ell_2\) and \(\ell_\infty\) norm of one-stage AMF-W-methods for parabolic problems. (English) Zbl 1436.65129 SIAM J. Numer. Anal. 58, No. 2, 1117-1137 (2020). MSC: 65M20 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., SIAM J. Numer. Anal. 58, No. 2, 1117--1137 (2020; Zbl 1436.65129) Full Text: DOI
Giri, Subhajit; Sen, Shuvam A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error. (English) Zbl 1524.65266 J. Comput. Appl. Math. 376, Article ID 112841, 23 p. (2020). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{S. Giri} and \textit{S. Sen}, J. Comput. Appl. Math. 376, Article ID 112841, 23 p. (2020; Zbl 1524.65266) Full Text: DOI
Li, Buyang; Wang, Kai; Zhou, Zhi Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-self-adjoint operators. (English) Zbl 07154062 SIAM J. Numer. Anal. 58, No. 1, 189-210 (2020). MSC: 65J08 65L06 65M12 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 58, No. 1, 189--210 (2020; Zbl 07154062) Full Text: DOI
Martens, Björn; Gerdts, Matthias Convergence analysis for approximations of optimal control problems subject to higher index differential-algebraic equations and mixed control-state constraints. (English) Zbl 1431.49025 SIAM J. Control Optim. 58, No. 1, 1-33 (2020). MSC: 49K15 49M25 34A09 65L80 PDFBibTeX XMLCite \textit{B. Martens} and \textit{M. Gerdts}, SIAM J. Control Optim. 58, No. 1, 1--33 (2020; Zbl 1431.49025) Full Text: DOI
Kulikov, G. Yu.; Kulikova, M. V. NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements. (English) Zbl 07137370 Appl. Numer. Math. 147, 196-221 (2020). MSC: 65Cxx PDFBibTeX XMLCite \textit{G. Yu. Kulikov} and \textit{M. V. Kulikova}, Appl. Numer. Math. 147, 196--221 (2020; Zbl 07137370) Full Text: DOI
Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes. (English) Zbl 1453.65243 J. Comput. Phys. 399, Article ID 108921, 23 p. (2019). MSC: 65M08 35K45 86A40 PDFBibTeX XMLCite \textit{T. Arbogast} et al., J. Comput. Phys. 399, Article ID 108921, 23 p. (2019; Zbl 1453.65243) 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
Burger, Michael; Gerdts, Matthias DAE aspects in vehicle dynamics and mobile robotics. (English) Zbl 1447.93227 Campbell, Stephen (ed.) et al., Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. Differ.-Algebr. Equ. Forum, 37-80 (2019). MSC: 93C85 93C15 34A09 PDFBibTeX XMLCite \textit{M. Burger} and \textit{M. Gerdts}, in: Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. 37--80 (2019; Zbl 1447.93227) Full Text: DOI
Krupa, V. G. A numerical third-order method for solving the Navier-Stokes equations with respect to time. (English. Russian original) Zbl 1441.76102 Comput. Math. Math. Phys. 59, No. 11, 1881-1892 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1948-1960 (2019). MSC: 76N06 65M20 65L06 PDFBibTeX XMLCite \textit{V. G. Krupa}, Comput. Math. Math. Phys. 59, No. 11, 1881--1892 (2019; Zbl 1441.76102); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1948--1960 (2019) Full Text: DOI
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
Yang, Huizi; Yang, Zhanwen; Ma, Shufang Theoretical and numerical analysis for Volterra integro-differential equations with Itô integral under polynomially growth conditions. (English) Zbl 1429.65022 Appl. Math. Comput. 360, 70-82 (2019). MSC: 65C30 34K07 45J05 60H20 91B70 PDFBibTeX XMLCite \textit{H. Yang} et al., Appl. Math. Comput. 360, 70--82 (2019; Zbl 1429.65022) Full Text: DOI
Chen, Hao; Wang, Xiaoli; Li, Xiaolin A note on efficient preconditioner of implicit Runge-Kutta methods with application to fractional diffusion equations. (English) Zbl 1429.65056 Appl. Math. Comput. 351, 116-123 (2019). MSC: 65F08 65F10 65L06 35R11 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Comput. 351, 116--123 (2019; Zbl 1429.65056) Full Text: DOI
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
Owolabi, Kolade M.; Atangana, Abdon High-order solvers for space-fractional differential equations with Riesz derivative. (English) Zbl 1422.65179 Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 567-590 (2019). MSC: 65M06 35K57 65L05 65N35 65L06 35R11 PDFBibTeX XMLCite \textit{K. M. Owolabi} and \textit{A. Atangana}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 567--590 (2019; Zbl 1422.65179) 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
Elsheikh, Atiyah; Wiechert, Wolfgang The structural index of sensitivity equation systems. (English) Zbl 1485.93234 Math. Comput. Model. Dyn. Syst. 24, No. 6, 573-592 (2018). MSC: 93C15 34A09 92-08 PDFBibTeX XMLCite \textit{A. Elsheikh} and \textit{W. Wiechert}, Math. Comput. Model. Dyn. Syst. 24, No. 6, 573--592 (2018; Zbl 1485.93234) Full Text: DOI
Jiang, Canghua; Xie, Kun; Yu, Changjun; Yu, Ming; Wang, Hai; He, Yigang; Teo, Kok Lay A sequential computational approach to optimal control problems for differential-algebraic systems based on efficient implicit Runge-Kutta integration. (English) Zbl 1480.49031 Appl. Math. Modelling 58, 313-330 (2018). MSC: 49M25 49M05 PDFBibTeX XMLCite \textit{C. Jiang} et al., Appl. Math. Modelling 58, 313--330 (2018; Zbl 1480.49031) Full Text: DOI
Chuiko, S. M.; Nesmelova, O. V.; Dzyuba, M. V. Least-squares method in the theory of matrix differential-algebraic boundary-value problems. (English. Ukrainian original) Zbl 1425.34033 Ukr. Math. J. 70, No. 2, 319-333 (2018); translation from Ukr. Mat. Zh. 70, No. 2, 280-292 (2018). MSC: 34A09 34B05 34A45 34A30 PDFBibTeX XMLCite \textit{S. M. Chuiko} et al., Ukr. Math. J. 70, No. 2, 319--333 (2018; Zbl 1425.34033); translation from Ukr. Mat. Zh. 70, No. 2, 280--292 (2018) Full Text: DOI
Chuĭko, Sergeĭ Mikhaĭlovich On a reduction of the order in a differential-algebraic system. (English. Russian original) Zbl 1418.34021 J. Math. Sci., New York 235, No. 1, 2-14 (2018); translation from Ukr. Mat. Visn. 15, No. 1, 1-17 (2018). Reviewer: Vu Hoang Linh (Hanoi) MSC: 34A09 34C20 34A30 PDFBibTeX XMLCite \textit{S. M. Chuĭko}, J. Math. Sci., New York 235, No. 1, 2--14 (2018; Zbl 1418.34021); translation from Ukr. Mat. Visn. 15, No. 1, 1--17 (2018) Full Text: DOI
Boscarino, S.; Russo, G.; Scandurra, L. All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics. (English) Zbl 1407.65139 J. Sci. Comput. 77, No. 2, 850-884 (2018). MSC: 65M08 35Q31 76N15 65L06 35B40 65M06 76N17 PDFBibTeX XMLCite \textit{S. Boscarino} et al., J. Sci. Comput. 77, No. 2, 850--884 (2018; Zbl 1407.65139) Full Text: DOI arXiv
Baier, Robert; Farkhi, Elza Discrete Filippov-type stability for one-sided Lipschitzian difference inclusions. (English) Zbl 1401.39016 Feichtinger, Gustav (ed.) et al., Control systems and mathematical methods in economics. Essays in honor of Vladimir M. Veliov. Cham: Springer (ISBN 978-3-319-75168-9/pbk; 978-3-319-75169-6/ebook). Lecture Notes in Economics and Mathematical Systems 687, 27-55 (2018). MSC: 39A30 65L50 PDFBibTeX XMLCite \textit{R. Baier} and \textit{E. Farkhi}, Lect. Notes Econ. Math. Syst. 687, 27--55 (2018; Zbl 1401.39016) Full Text: DOI Link
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.; Pérez-Rodríguez, S. AMF-type W-methods for parabolic problems with mixed derivatives. (English) Zbl 1397.65159 SIAM J. Sci. Comput. 40, No. 5, A2905-A2929 (2018). MSC: 65M12 65M20 91G60 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., SIAM J. Sci. Comput. 40, No. 5, A2905--A2929 (2018; Zbl 1397.65159) Full Text: DOI
Crockatt, Michael M.; Christlieb, Andrew J. Low-storage integral deferred correction methods for scientific computing. (English) Zbl 1401.65004 SIAM J. Sci. Comput. 40, No. 5, A2883-A2904 (2018). MSC: 65B05 65L05 PDFBibTeX XMLCite \textit{M. M. Crockatt} and \textit{A. J. Christlieb}, SIAM J. Sci. Comput. 40, No. 5, A2883--A2904 (2018; Zbl 1401.65004) Full Text: DOI
Wang, Pengde; Huang, Chengming An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. (English) Zbl 1412.65095 BIT 58, No. 3, 783-805 (2018). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 65M12 65M15 35Q56 35R11 PDFBibTeX XMLCite \textit{P. Wang} and \textit{C. Huang}, BIT 58, No. 3, 783--805 (2018; Zbl 1412.65095) 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
Skvortsov, L. M. Implicit Runge-Kutta methods with explicit internal stages. (English. Russian original) Zbl 1458.65090 Comput. Math. Math. Phys. 58, No. 3, 307-321 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 326-339 (2018). MSC: 65L06 65L04 PDFBibTeX XMLCite \textit{L. M. Skvortsov}, Comput. Math. Math. Phys. 58, No. 3, 307--321 (2018; Zbl 1458.65090); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 326--339 (2018) Full Text: DOI
Boscarino, S.; Russo, G.; Semplice, M. High order finite volume schemes for balance laws with stiff relaxation. (English) Zbl 1410.65339 Comput. Fluids 169, 155-168 (2018). MSC: 65M08 35B25 76M12 35L67 35L45 35L60 65L04 65L06 65M20 PDFBibTeX XMLCite \textit{S. Boscarino} et al., Comput. Fluids 169, 155--168 (2018; Zbl 1410.65339) Full Text: DOI
Einkemmer, Lukas An adaptive step size controller for iterative implicit methods. (English) Zbl 06902350 Appl. Numer. Math. 132, 182-204 (2018). MSC: 65-XX PDFBibTeX XMLCite \textit{L. Einkemmer}, Appl. Numer. Math. 132, 182--204 (2018; Zbl 06902350) Full Text: DOI arXiv
Wang, Bin; Li, Ting; Wu, Yajun Arbitrary-order functionally fitted energy-diminishing methods for gradient systems. (English) Zbl 1458.65106 Appl. Math. Lett. 83, 130-139 (2018). MSC: 65L99 34A09 PDFBibTeX XMLCite \textit{B. Wang} et al., Appl. Math. Lett. 83, 130--139 (2018; Zbl 1458.65106) Full Text: DOI arXiv
Kulikov, G. Yu.; Weiner, R. Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods. (English) Zbl 1435.65102 J. Comput. Appl. Math. 340, 256-275 (2018). MSC: 65L04 65L20 65L70 PDFBibTeX XMLCite \textit{G. Yu. Kulikov} and \textit{R. Weiner}, J. Comput. Appl. Math. 340, 256--275 (2018; Zbl 1435.65102) Full Text: DOI
Braś, M.; Cardone, A.; Jackiewicz, Z.; Pierzchała, P. Error propagation for implicit-explicit general linear methods. (English) Zbl 1446.65036 Appl. Numer. Math. 131, 207-231 (2018). MSC: 65L05 65L04 65L20 65L70 PDFBibTeX XMLCite \textit{M. Braś} et al., Appl. Numer. Math. 131, 207--231 (2018; Zbl 1446.65036) Full Text: DOI
Ehigie, Julius Osato; Diao, Dongxu; Zhang, Ruqiang; Fang, Yonglei; Hou, Xilin; You, Xiong Exponentially fitted symmetric and symplectic DIRK methods for oscillatory Hamiltonian systems. (English) Zbl 1446.65197 J. Math. Chem. 56, No. 4, 1130-1152 (2018). MSC: 65P10 37M15 65L06 65L04 65L05 PDFBibTeX XMLCite \textit{J. O. Ehigie} et al., J. Math. Chem. 56, No. 4, 1130--1152 (2018; Zbl 1446.65197) Full Text: DOI
Magnusson, Fredrik; Åkesson, Johan Symbolic elimination in dynamic optimization based on block-triangular ordering. (English) Zbl 1391.49065 Optim. Methods Softw. 33, No. 1, 92-119 (2018). MSC: 49M37 34A09 68W30 PDFBibTeX XMLCite \textit{F. Magnusson} and \textit{J. Åkesson}, Optim. Methods Softw. 33, No. 1, 92--119 (2018; Zbl 1391.49065) Full Text: DOI Link