Biswas, Abhijit; Ketcheson, David I. Multiple-relaxation Runge Kutta methods for conservative dynamical systems. (English) Zbl 07730758 J. Sci. Comput. 97, No. 1, Paper No. 4, 26 p. (2023). MSC: 65L04 65L20 65M06 65M12 65M22 PDF BibTeX XML Cite \textit{A. Biswas} and \textit{D. I. Ketcheson}, J. Sci. Comput. 97, No. 1, Paper No. 4, 26 p. (2023; Zbl 07730758) Full Text: DOI arXiv
Rossides, T.; Lloyd, D. J. B.; Zelik, S.; Turner, M. R. The dynamics of interacting multi-pulses in the one-dimensional quintic complex Ginzburg-Landau equation. (English) Zbl 07729141 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2242-2281 (2023). MSC: 35Q56 35C08 37K40 65L04 65N25 PDF BibTeX XML Cite \textit{T. Rossides} et al., SIAM J. Appl. Dyn. Syst. 22, No. 3, 2242--2281 (2023; Zbl 07729141) Full Text: DOI arXiv
Liu, Hongliang; You, Yilin; Li, Haodong; Li, Shoufu Canonical Euler splitting method for parabolic partial functional differential algebraic equations. (English) Zbl 07710407 Appl. Numer. Math. 190, 65-83 (2023). MSC: 65Mxx 65Lxx 35Kxx PDF BibTeX XML Cite \textit{H. Liu} et al., Appl. Numer. Math. 190, 65--83 (2023; Zbl 07710407) Full Text: DOI
Rufai, Mufutau Ajani; Tran, Thanh; Anastassi, Zacharias A. A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems. (English) Zbl 07687555 Comput. Appl. Math. 42, No. 4, Paper No. 156, 17 p. (2023). MSC: 65L05 65L20 PDF BibTeX XML Cite \textit{M. A. Rufai} et al., Comput. Appl. Math. 42, No. 4, Paper No. 156, 17 p. (2023; Zbl 07687555) Full Text: DOI
Wu, Yue Backward Euler-Maruyama method for the random periodic solution of a stochastic differential equation with a monotone drift. (English) Zbl 07686383 J. Theor. Probab. 36, No. 1, 605-622 (2023). MSC: 37A50 65C30 60H10 35F05 60H35 65L04 PDF BibTeX XML Cite \textit{Y. Wu}, J. Theor. Probab. 36, No. 1, 605--622 (2023; Zbl 07686383) Full Text: DOI
Chiocchetti, Simone; Dumbser, Michael An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension. (English) Zbl 07682799 J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{S. Chiocchetti} and \textit{M. Dumbser}, J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023; Zbl 07682799) Full Text: DOI arXiv
Cordero-Carrión, Isabel; Santos-Pérez, Samuel; Martínez-Vidallach, Clara Numerical evolution of the resistive relativistic magnetohydrodynamic equations: a minimally implicit Runge-Kutta scheme. (English) Zbl 1511.35087 Appl. Math. Comput. 443, Article ID 127774, 14 p. (2023). MSC: 35F50 35L60 35Q35 35Q75 65M06 65M12 76W05 76Y05 PDF BibTeX XML Cite \textit{I. Cordero-Carrión} et al., Appl. Math. Comput. 443, Article ID 127774, 14 p. (2023; Zbl 1511.35087) Full Text: DOI
Kaur, Anurag; Kanwar, V.; Ramos, Higinio An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter-Saxton equation. (English) Zbl 07673449 J. Math. Chem. 61, No. 4, 761-776 (2023). Reviewer: Wenlin Qiu (Changsha) MSC: 65M70 65L04 65N35 65D07 65D32 65N12 35K59 35F50 76A15 35Q35 PDF BibTeX XML Cite \textit{A. Kaur} et al., J. Math. Chem. 61, No. 4, 761--776 (2023; Zbl 07673449) Full Text: DOI
Sarumi, Ibrahim O.; Furati, Khaled M.; Mustapha, Kassem; Khaliq, Abdul Q. M. Efficient high-order exponential time differencing methods for nonlinear fractional differential models. (English) Zbl 1506.65094 Numer. Algorithms 92, No. 2, 1261-1288 (2023). MSC: 65L03 65L04 34K37 PDF BibTeX XML Cite \textit{I. O. Sarumi} et al., Numer. Algorithms 92, No. 2, 1261--1288 (2023; Zbl 1506.65094) Full Text: DOI
Mara’Beh, Raed Ali; Spiteri, Raymond J.; González, P.; Mantas, José M. 3-additive linear multi-step methods for diffusion-reaction-advection models. (English) Zbl 1500.65101 Appl. Numer. Math. 183, 15-38 (2023). MSC: 65N40 65L04 65L06 65L10 65D32 65H10 65F05 65F50 PDF BibTeX XML Cite \textit{R. A. Mara'Beh} et al., Appl. Numer. Math. 183, 15--38 (2023; Zbl 1500.65101) Full Text: DOI
Tassaddiq, Asifa; Qureshi, Sania; Soomro, Amanullah; Hincal, Evren; Shaikh, Asif Ali A new continuous hybrid block method with one optimal intrastep point through interpolation and collocation. (English) Zbl 07702965 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 22, 17 p. (2022). MSC: 65L05 65L07 65L20 PDF BibTeX XML Cite \textit{A. Tassaddiq} et al., Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 22, 17 p. (2022; Zbl 07702965) Full Text: DOI
Hojjati, Gholamreza; Taheri, Koltape Leila On the stability functions of second derivative implicit advanced-step point methods. (English) Zbl 07694602 J. Math. Model. 10, No. 2, 203-212 (2022). MSC: 65L05 PDF BibTeX XML Cite \textit{G. Hojjati} and \textit{K. L. Taheri}, J. Math. Model. 10, No. 2, 203--212 (2022; Zbl 07694602) 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 07663132 Zh. Sredn. Mat. Obshch. 24, No. 2, 151-161 (2022). MSC: 65L80 PDF BibTeX XML Cite \textit{L. S. Solovarova} and \textit{T. D. Phuong}, Zh. Sredn. Mat. Obshch. 24, No. 2, 151--161 (2022; Zbl 07663132) Full Text: DOI MNR
Valorani, Mauro; Malpica Galassi, Riccardo; Ciottoli, Pietro Paolo; Najm, Habib; Paolucci, Samuel The spectral characterisation of reduced order models in chemical kinetic systems. (English) Zbl 07646519 Combust. Theory Model. 26, No. 7, 1185-1216 (2022). MSC: 80A32 80A30 76M20 PDF BibTeX XML Cite \textit{M. Valorani} et al., Combust. Theory Model. 26, No. 7, 1185--1216 (2022; Zbl 07646519) Full Text: DOI
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev Positivity-preserving methods for ordinary differential equations. (English) Zbl 1508.65079 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1843-1870 (2022). MSC: 65L05 65L04 65L06 65L20 65P10 PDF BibTeX XML Cite \textit{S. Blanes} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1843--1870 (2022; Zbl 1508.65079) Full Text: DOI arXiv
Bertaglia, Giulia; Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. (English) Zbl 1498.65016 Netw. Heterog. Media 17, No. 3, 401-425 (2022). MSC: 65C30 65M08 65L04 92D30 82C40 35L50 35K57 PDF BibTeX XML Cite \textit{G. Bertaglia} et al., Netw. Heterog. Media 17, No. 3, 401--425 (2022; Zbl 1498.65016) Full Text: DOI arXiv
Pierre, Morgan Maximum time step for high order BDF methods applied to gradient flows. (English) Zbl 1502.65047 Calcolo 59, No. 4, Paper No. 36, 21 p. (2022). MSC: 65L20 65M12 65P40 65L04 PDF BibTeX XML Cite \textit{M. Pierre}, Calcolo 59, No. 4, Paper No. 36, 21 p. (2022; Zbl 1502.65047) Full Text: DOI
Deka, Pranab Jyoti; Einkemmer, Lukas Efficient adaptive step size control for exponential integrators. (English) Zbl 07595275 Comput. Math. Appl. 123, 59-74 (2022). MSC: 65L05 34A34 65L04 65L06 65F60 PDF BibTeX XML Cite \textit{P. J. Deka} and \textit{L. Einkemmer}, Comput. Math. Appl. 123, 59--74 (2022; Zbl 07595275) Full Text: DOI arXiv
Jin, Zeyu; Li, Ruo High-order numerical homogenization for dissipative ordinary differential equations. (English) Zbl 1493.34161 Multiscale Model. Simul. 20, No. 2, 583-617 (2022). MSC: 34E13 65L04 PDF BibTeX XML Cite \textit{Z. Jin} and \textit{R. Li}, Multiscale Model. Simul. 20, No. 2, 583--617 (2022; Zbl 1493.34161) Full Text: DOI arXiv
Oboyi, J.; Ekoro, S. E.; Ogunfeyitimi, S. E. On some multi-block reverse Adams methods for stiff problems. (English) Zbl 1489.65102 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 166, 18 p. (2022). MSC: 65L04 65L05 65L06 65L20 PDF BibTeX XML Cite \textit{J. Oboyi} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 166, 18 p. (2022; Zbl 1489.65102) Full Text: DOI
Balzotti, Caterina; Briani, Maya; De Filippo, Barbara; Piccoli, Benedetto A computational modular approach to evaluate \(\mathrm{NO_x}\) emissions and ozone production due to vehicular traffic. (English) Zbl 1506.35244 Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3455-3486 (2022). MSC: 35Q90 90B20 76N15 92E20 35L65 35L45 62P12 65M06 65N06 65L04 65L06 PDF BibTeX XML Cite \textit{C. Balzotti} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3455--3486 (2022; Zbl 1506.35244) Full Text: DOI
Mei, Lijie; Huang, Li; Wu, Xinyuan Energy-preserving continuous-stage exponential Runge-Kutta integrators for efficiently solving Hamiltonian systems. (English) Zbl 1492.65188 SIAM J. Sci. Comput. 44, No. 3, A1092-A1115 (2022). MSC: 65L04 65L05 65L06 65P10 PDF BibTeX XML Cite \textit{L. Mei} et al., SIAM J. Sci. Comput. 44, No. 3, A1092--A1115 (2022; Zbl 1492.65188) Full Text: DOI
Pudykiewicz, Janusz A.; Clancy, Colm Convection experiments with the exponential time integration scheme. (English) Zbl 07524798 J. Comput. Phys. 449, Article ID 110803, 17 p. (2022). MSC: 65Lxx 65Mxx 86Axx PDF BibTeX XML Cite \textit{J. A. Pudykiewicz} and \textit{C. Clancy}, J. Comput. Phys. 449, Article ID 110803, 17 p. (2022; Zbl 07524798) Full Text: DOI
De Marinis, Arturo; Iavernaro, Felice; Mazzia, Francesca A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles. (English) Zbl 1491.49037 Numer. Algorithms 89, No. 4, 1639-1661 (2022). MSC: 49S05 65L10 65L04 49M25 93C85 PDF BibTeX XML Cite \textit{A. De Marinis} et al., Numer. Algorithms 89, No. 4, 1639--1661 (2022; Zbl 1491.49037) Full Text: DOI
Naranjo-Noda, F. S.; Jimenez, J. C. Locally linearized Runge-Kutta method of Dormand and Prince for large systems of initial value problems. (English) Zbl 07510060 J. Comput. Phys. 426, Article ID 109946, 26 p. (2021). MSC: 65-XX 68-XX PDF BibTeX XML Cite \textit{F. S. Naranjo-Noda} and \textit{J. C. Jimenez}, J. Comput. Phys. 426, Article ID 109946, 26 p. (2021; Zbl 07510060) Full Text: DOI
Gao, Yuan; Katsevich, Anya E.; Liu, Jian-Guo; Lu, Jianfeng; Marzuola, Jeremy L. Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with metropolis-type transition rates. (English) Zbl 1489.35270 Pure Appl. Anal. 3, No. 4, 595-612 (2021). MSC: 35Q70 82D25 35A01 60J74 65M06 65L04 65C05 70-08 PDF BibTeX XML Cite \textit{Y. Gao} et al., Pure Appl. Anal. 3, No. 4, 595--612 (2021; Zbl 1489.35270) Full Text: DOI arXiv
Pichard, Teddy; Aguillon, Nina; Després, Bruno; Godlewski, Edwige; Ndjinga, Michael Existence and uniqueness of generalized solutions to hyperbolic systems with linear fluxes and stiff sources. (English) Zbl 1478.35179 J. Hyperbolic Differ. Equ. 18, No. 3, 653-700 (2021). MSC: 35Q35 35A01 35A02 35L45 PDF BibTeX XML Cite \textit{T. Pichard} et al., J. Hyperbolic Differ. Equ. 18, No. 3, 653--700 (2021; Zbl 1478.35179) Full Text: DOI
Bertaglia, Giulia; Pareschi, Lorenzo Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of COVID-19 in Italy. (English) Zbl 1478.92178 Math. Models Methods Appl. Sci. 31, No. 12, 2495-2531 (2021). MSC: 92D30 92-10 65M08 65L04 35K57 82C40 PDF BibTeX XML Cite \textit{G. Bertaglia} and \textit{L. Pareschi}, Math. Models Methods Appl. Sci. 31, No. 12, 2495--2531 (2021; Zbl 1478.92178) Full Text: DOI arXiv
Lang, Jens Rosenbrock-Wanner methods: construction and mission. (English) Zbl 1477.65008 Jax, Tim (ed.) et al., Rosenbrock-Wanner-type methods. Theory and applications. Based on the minisymposium, University of Bath, Bath, UK, September 2017. Cham: Springer. Math. Online First Collect., 1-17 (2021). MSC: 65-03 PDF BibTeX XML Cite \textit{J. Lang}, in: Rosenbrock-Wanner-type methods. Theory and applications. Based on the minisymposium, University of Bath, Bath, UK, September 2017. Cham: Springer. 1--17 (2021; Zbl 1477.65008) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{J. Urevc} et al., Comput. Appl. Math. 40, No. 4, Paper No. 135, 28 p. (2021; Zbl 1476.65155) Full Text: DOI
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. (English) Zbl 1473.92006 Math. Models Methods Appl. Sci. 31, No. 6, 1059-1097 (2021). MSC: 92-10 65M08 35L50 65L04 35K57 82C40 92D30 PDF BibTeX XML Cite \textit{W. Boscheri} et al., Math. Models Methods Appl. Sci. 31, No. 6, 1059--1097 (2021; Zbl 1473.92006) Full Text: DOI arXiv
Tukhvatullina, R. R.; Alekseev, M. V.; Savenkov, E. B. Numerical solution of the Baer-Nunziato relaxation model using the discontinuous Galerkin method. (English. Russian original) Zbl 1496.65170 Differ. Equ. 57, No. 7, 959-973 (2021); translation from Differ. Uravn. 57, No. 7, 988-1002 (2021). MSC: 65M60 65M06 65N30 65L06 65L04 65D32 65H10 65D25 35L02 76N15 35Q35 PDF BibTeX XML Cite \textit{R. R. Tukhvatullina} et al., Differ. Equ. 57, No. 7, 959--973 (2021; Zbl 1496.65170); translation from Differ. Uravn. 57, No. 7, 988--1002 (2021) Full Text: DOI
Bertaglia, Giulia; Pareschi, Lorenzo Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. (English) Zbl 1472.65105 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 381-407 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65L04 65L06 35L50 35K57 82C40 92D30 PDF BibTeX XML Cite \textit{G. Bertaglia} and \textit{L. Pareschi}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 381--407 (2021; Zbl 1472.65105) Full Text: DOI arXiv
Mirzaei, Azar; Kamrani, Minoo Numerical solution of stiff random ordinary differential equations via averaged schemes. (English) Zbl 1512.65120 Math. Methods Appl. Sci. 44, No. 6, 4235-4244 (2021). MSC: 65L04 65C30 34F05 60H35 PDF BibTeX XML Cite \textit{A. Mirzaei} and \textit{M. Kamrani}, Math. Methods Appl. Sci. 44, No. 6, 4235--4244 (2021; Zbl 1512.65120) Full Text: DOI
Avrutin, Viktor; Jeffrey, Mike R. Bifurcations of hidden orbits in discontinuous maps. (English) Zbl 1480.37049 Nonlinearity 34, No. 9, 6140-6172 (2021). MSC: 37E05 37G15 39A28 PDF BibTeX XML Cite \textit{V. Avrutin} and \textit{M. R. Jeffrey}, Nonlinearity 34, No. 9, 6140--6172 (2021; Zbl 1480.37049) Full Text: DOI
Pierre, Morgan Maximum time step for the BDF3 scheme applied to gradient flows. (English) Zbl 1471.65218 Calcolo 58, No. 1, Paper No. 3, 17 p. (2021). MSC: 65P40 65L04 PDF BibTeX XML Cite \textit{M. Pierre}, Calcolo 58, No. 1, Paper No. 3, 17 p. (2021; Zbl 1471.65218) 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 PDF BibTeX XML Cite \textit{A. Tuzov}, Mat. Vesn. 73, No. 2, 119--130 (2021; Zbl 1474.65206) Full Text: Link Link
Sarumi, Ibrahim O.; Furati, Khaled M.; Khaliq, Abdul Q. M.; Mustapha, Kassem Generalized exponential time differencing schemes for stiff fractional systems with nonsmooth source term. (English) Zbl 1469.65115 J. Sci. Comput. 86, No. 2, Paper No. 23, 22 p. (2021). MSC: 65L04 34A08 92C45 PDF BibTeX XML Cite \textit{I. O. Sarumi} et al., J. Sci. Comput. 86, No. 2, Paper No. 23, 22 p. (2021; Zbl 1469.65115) Full Text: DOI
Vau, Bernard; Bourlès, Henri Closed-loop output error identification algorithms with predictors based on generalized orthonormal transfer functions: convergence conditions and bias distribution. (English) Zbl 1461.93102 Automatica 125, Article ID 109377, 11 p. (2021). MSC: 93B30 93C80 PDF BibTeX XML Cite \textit{B. Vau} and \textit{H. Bourlès}, Automatica 125, Article ID 109377, 11 p. (2021; Zbl 1461.93102) Full Text: DOI HAL
Almuslimani, Ibrahim; Vilmart, Gilles Explicit stabilized integrators for stiff optimal control problems. (English) Zbl 1460.49021 SIAM J. Sci. Comput. 43, No. 2, A721-A743 (2021). MSC: 49M25 65L04 65L06 PDF BibTeX XML Cite \textit{I. Almuslimani} and \textit{G. Vilmart}, SIAM J. Sci. Comput. 43, No. 2, A721--A743 (2021; Zbl 1460.49021) Full Text: DOI arXiv
Sandu, Adrian; Günther, Michael; Roberts, Steven Linearly implicit GARK schemes. (English) Zbl 1475.65077 Appl. Numer. Math. 161, 286-310 (2021). Reviewer: Michael Plum (Karlsruhe) MSC: 65M06 65L06 65L04 65L80 35K57 PDF BibTeX XML Cite \textit{A. Sandu} et al., Appl. Numer. Math. 161, 286--310 (2021; Zbl 1475.65077) Full Text: DOI arXiv
Narayanamurthi, Mahesh; Sandu, Adrian Partitioned exponential methods for coupled multiphysics systems. (English) Zbl 1462.65130 Appl. Numer. Math. 161, 178-207 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M20 65L06 65L04 15A16 PDF BibTeX XML Cite \textit{M. Narayanamurthi} and \textit{A. Sandu}, Appl. Numer. Math. 161, 178--207 (2021; Zbl 1462.65130) Full Text: DOI arXiv
Fang, Jinwei; Zhan, Rui High order explicit exponential Runge-Kutta methods for semilinear delay differential equations. (English) Zbl 1458.65071 J. Comput. Appl. Math. 388, Article ID 113279, 17 p. (2021). MSC: 65L03 65L06 34A34 PDF BibTeX XML Cite \textit{J. Fang} and \textit{R. Zhan}, J. Comput. Appl. Math. 388, Article ID 113279, 17 p. (2021; Zbl 1458.65071) Full Text: DOI
Faleichik, Boris V. Minimal residual multistep methods for large stiff non-autonomous linear problems. (English) Zbl 1458.65074 J. Comput. Appl. Math. 387, Article ID 112498, 16 p. (2021). MSC: 65L04 65L05 65L06 65L20 PDF BibTeX XML Cite \textit{B. V. Faleichik}, J. Comput. Appl. Math. 387, Article ID 112498, 16 p. (2021; Zbl 1458.65074) Full Text: DOI arXiv
Abreu, E.; Matos, V.; Pérez, J.; Rodríguez-Bermúdez, P. A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms. (English) Zbl 1456.65056 J. Sci. Comput. 86, No. 1, Paper No. 14, 47 p. (2021). MSC: 65M06 65M12 35L65 35L45 76S05 76T06 76N10 76L05 76B15 PDF BibTeX XML Cite \textit{E. Abreu} et al., J. Sci. Comput. 86, No. 1, Paper No. 14, 47 p. (2021; Zbl 1456.65056) Full Text: DOI
Bannenberg, M. W. F. M.; Ciccazzo, A.; Günther, M. Coupling of model order reduction and multirate techniques for coupled dynamical systems. (English) Zbl 1462.34066 Appl. Math. Lett. 112, Article ID 106780, 8 p. (2021). MSC: 34C20 34A09 65L80 65L04 PDF BibTeX XML Cite \textit{M. W. F. M. Bannenberg} et al., Appl. Math. Lett. 112, Article ID 106780, 8 p. (2021; Zbl 1462.34066) Full Text: DOI
Levykin, A. I.; Novikov, A. E.; Novikov, E. A. \((m, k)\)-schemes for stiff systems of ODEs and DAEs. (Russian. English summary) Zbl 07617044 Sib. Zh. Vychisl. Mat. 23, No. 1, 39-51 (2020). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{A. I. Levykin} et al., Sib. Zh. Vychisl. Mat. 23, No. 1, 39--51 (2020; Zbl 07617044) Full Text: DOI MNR
Ogunfeyitimi, S. E.; Ikhile, M. N. O. Multi-block boundary value methods for ordinary differential and differential algebraic equations. (English) Zbl 1487.65110 J. Korean Soc. Ind. Appl. Math. 24, No. 3, 243-291 (2020). MSC: 65L80 34A09 65L04 65L06 65L10 PDF BibTeX XML Cite \textit{S. E. Ogunfeyitimi} and \textit{M. N. O. Ikhile}, J. Korean Soc. Ind. Appl. Math. 24, No. 3, 243--291 (2020; Zbl 1487.65110) Full Text: DOI
Boutin, Benjamin; Nguyen, Thi Hoai Thuong; Seguin, Nicolas A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary. (English) Zbl 1484.65173 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1569-1596 (2020). MSC: 65M06 65M12 65L04 35A01 35A02 35F46 35L50 44A10 PDF BibTeX XML Cite \textit{B. Boutin} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1569--1596 (2020; Zbl 1484.65173) Full Text: DOI
Permyakova, E. V.; Goldobin, D. S. Exponential time differencing for stiff systems with nondiagonal linear part. (English) Zbl 1459.65172 J. Appl. Mech. Tech. Phys. 61, No. 7, 1227-1237 (2020) and Vychisl. Mekh. Splosh. Sred 12, No. 1, 403-414 (2019). MSC: 65M12 65L06 65M06 PDF BibTeX XML Cite \textit{E. V. Permyakova} and \textit{D. S. Goldobin}, J. Appl. Mech. Tech. Phys. 61, No. 7, 1227--1237 (2020; Zbl 1459.65172) Full Text: DOI
Akinfenwa, Olusheye Aremu Akin; Abdulganiy, R. I.; Akinnukawe, B. I.; Okunuga, Solomon A. Seventh order hybrid block method for solution of first order stiff systems of initial value problems. (English) Zbl 1461.65202 J. Egypt. Math. Soc. 28, Paper No. 34, 11 p. (2020). MSC: 65L04 65L06 65L20 34A34 PDF BibTeX XML Cite \textit{O. A. A. Akinfenwa} et al., J. Egypt. Math. Soc. 28, Paper No. 34, 11 p. (2020; Zbl 1461.65202) Full Text: DOI
Tang, Xiao; Xiao, Aiguo Improved Runge-Kutta-Chebyshev methods. (English) Zbl 1453.65168 Math. Comput. Simul. 174, 59-75 (2020). MSC: 65L06 65L04 65M20 PDF BibTeX XML Cite \textit{X. Tang} and \textit{A. Xiao}, Math. Comput. Simul. 174, 59--75 (2020; Zbl 1453.65168) Full Text: DOI
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. (English) Zbl 1455.65110 Comput. Methods Appl. Math. 20, No. 4, 739-762 (2020). MSC: 65L05 65L06 65L04 PDF BibTeX XML Cite \textit{Z. Zlatev} et al., Comput. Methods Appl. Math. 20, No. 4, 739--762 (2020; Zbl 1455.65110) Full Text: DOI
Dolgakov, I.; Pavlov, D. Landau: a language for dynamical systems with automatic differentiation. (English) Zbl 1471.65002 J. Math. Sci., New York 251, No. 3, 354-362 (2020) and Zap. Nauchn. Semin. POMI 485, 78-89 (2019). MSC: 65-04 65P10 65L04 PDF BibTeX XML Cite \textit{I. Dolgakov} and \textit{D. Pavlov}, J. Math. Sci., New York 251, No. 3, 354--362 (2020; Zbl 1471.65002) Full Text: DOI arXiv
Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas On leapfrog-Chebyshev schemes. (English) Zbl 1454.65046 SIAM J. Numer. Anal. 58, No. 4, 2404-2433 (2020). MSC: 65L04 65L20 65L05 65L06 65L70 PDF BibTeX XML Cite \textit{C. Carle} et al., SIAM J. Numer. Anal. 58, No. 4, 2404--2433 (2020; Zbl 1454.65046) Full Text: DOI
Moradi, A.; Sharifi, M.; Abdi, A. Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part. (English) Zbl 1442.65118 Appl. Numer. Math. 156, 14-31 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L04 65L05 65L06 65L20 65P10 PDF BibTeX XML Cite \textit{A. Moradi} et al., Appl. Numer. Math. 156, 14--31 (2020; Zbl 1442.65118) Full Text: DOI
Ogunfeyitimi, S. E.; Ikhile, M. N. O. Generalized second derivative linear multistep methods based on the methods of Enright. (English) Zbl 1442.65131 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 76, 21 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L10 65L04 65L05 65L06 PDF BibTeX XML Cite \textit{S. E. Ogunfeyitimi} and \textit{M. N. O. Ikhile}, Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 76, 21 p. (2020; Zbl 1442.65131) Full Text: DOI
Roberts, Steven; Sarshar, Arash; Sandu, Adrian Coupled multirate infinitesimal GARK schemes for stiff systems with multiple time scales. (English) Zbl 1441.65055 SIAM J. Sci. Comput. 42, No. 3, A1609-A1638 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L04 65L05 65L06 65L07 65L20 65P10 PDF BibTeX XML Cite \textit{S. Roberts} et al., SIAM J. Sci. Comput. 42, No. 3, A1609--A1638 (2020; Zbl 1441.65055) Full Text: DOI arXiv
Galanin, M. P.; Isaev, A. V.; Konev, S. A. Mathematical model for soot formation under toluol diffusion combustion. (Russian. English summary) Zbl 1439.80010 Mat. Model. 32, No. 6, 66-80 (2020). MSC: 80A25 60J60 34K50 90C30 PDF BibTeX XML Cite \textit{M. P. Galanin} et al., Mat. Model. 32, No. 6, 66--80 (2020; Zbl 1439.80010) Full Text: DOI MNR
Di Pietro, Franco; Fernández, Joaquín; Migoni, Gustavo; Kofman, Ernesto Mixed-mode state-time discretization in ODE numerical integration. (English) Zbl 1440.65068 J. Comput. Appl. Math. 377, Article ID 112911, 18 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L05 65L04 65L06 65L20 65P10 37M05 PDF BibTeX XML Cite \textit{F. Di Pietro} et al., J. Comput. Appl. Math. 377, Article ID 112911, 18 p. (2020; Zbl 1440.65068) Full Text: DOI
Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. (English) Zbl 1441.65062 Numer. Algorithms 83, No. 4, 1489-1508 (2020). Reviewer: Yajuan Sun (Beijing) MSC: 65L10 65L05 65L04 65P10 PDF BibTeX XML Cite \textit{P. Amodio} et al., Numer. Algorithms 83, No. 4, 1489--1508 (2020; Zbl 1441.65062) Full Text: DOI arXiv
Martiradonna, Angela; Colonna, Gianpiero; Diele, Fasma GeCo: geometric conservative nonstandard schemes for biochemical systems. (English) Zbl 1436.65083 Appl. Numer. Math. 155, 38-57 (2020). MSC: 65L05 65L06 65P10 65Z05 PDF BibTeX XML Cite \textit{A. Martiradonna} et al., Appl. Numer. Math. 155, 38--57 (2020; Zbl 1436.65083) Full Text: DOI
Narayanamurthi, Mahesh; Sandu, Adrian Efficient implementation of partitioned stiff exponential Runge-Kutta methods. (English) Zbl 1439.65079 Appl. Numer. Math. 152, 141-158 (2020). Reviewer: Joseph Páez Chávez (Guayaquil) MSC: 65L06 65L04 65L20 65P10 37M15 PDF BibTeX XML Cite \textit{M. Narayanamurthi} and \textit{A. Sandu}, Appl. Numer. Math. 152, 141--158 (2020; Zbl 1439.65079) Full Text: DOI arXiv
Buvoli, Tommaso A class of exponential integrators based on spectral deferred correction. (English) Zbl 1429.65139 SIAM J. Sci. Comput. 42, No. 1, A1-A27 (2020). MSC: 65L04 65L05 65L06 65N35 PDF BibTeX XML Cite \textit{T. Buvoli}, SIAM J. Sci. Comput. 42, No. 1, A1--A27 (2020; Zbl 1429.65139) Full Text: DOI arXiv
Agarwal, P.; Ibrahim, Iman H. A new type of hybrid multistep multiderivative formula for solving stiff IVPs. (English) Zbl 1485.65074 Adv. Difference Equ. 2019, Paper No. 286, 14 p. (2019). MSC: 65L04 65L06 65L20 PDF BibTeX XML Cite \textit{P. Agarwal} and \textit{I. H. Ibrahim}, Adv. Difference Equ. 2019, Paper No. 286, 14 p. (2019; Zbl 1485.65074) Full Text: DOI
Sun, Chong; Xia, Yinhua Asymptotic preserving spectral deferred correction methods for hyperbolic systems with relaxation. (English) Zbl 1473.65244 Commun. Comput. Phys. 26, No. 2, 531-557 (2019). MSC: 65M70 65B05 35L45 PDF BibTeX XML Cite \textit{C. Sun} and \textit{Y. Xia}, Commun. Comput. Phys. 26, No. 2, 531--557 (2019; Zbl 1473.65244) Full Text: DOI
Wang, Lijin; Cao, Yanzhao; Lam, Sau-Hai Explicit integration of stiff stochastic differential equations via an efficient implementation of stochastic computational singular perturbation. (English) Zbl 1473.34042 Commun. Comput. Phys. 25, No. 5, 1523-1546 (2019). MSC: 34E13 34E15 60H10 60H35 65C20 65C30 65D30 PDF BibTeX XML Cite \textit{L. Wang} et al., Commun. Comput. Phys. 25, No. 5, 1523--1546 (2019; Zbl 1473.34042) Full Text: DOI
Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. (English) Zbl 1452.74022 J. Comput. Phys. 387, 481-521 (2019). MSC: 74C15 74B20 74S05 74S10 PDF BibTeX XML Cite \textit{I. Peshkov} et al., J. Comput. Phys. 387, 481--521 (2019; Zbl 1452.74022) Full Text: DOI arXiv
Ogunfeyitimi, S. E.; Ikhile, M. N. O. Second derivative generalized extended backward differentiation formulas for stiff problems. (English) Zbl 1432.93138 J. Korean Soc. Ind. Appl. Math. 23, No. 3, 179-202 (2019). MSC: 93C15 65L04 PDF BibTeX XML Cite \textit{S. E. Ogunfeyitimi} and \textit{M. N. O. Ikhile}, J. Korean Soc. Ind. Appl. Math. 23, No. 3, 179--202 (2019; Zbl 1432.93138) Full Text: DOI
Vasilev, E. I.; Vasilyeva, T. A. Multi-implicit methods with automatic error control in applications with chemical reactions. (English. Russian original) Zbl 07150935 Comput. Math. Math. Phys. 59, No. 9, 1508-1517 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1570-1580 (2019). MSC: 65L04 PDF BibTeX XML Cite \textit{E. I. Vasilev} and \textit{T. A. Vasilyeva}, Comput. Math. Math. Phys. 59, No. 9, 1508--1517 (2019; Zbl 07150935); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1570--1580 (2019) Full Text: DOI
Bragin, M. D.; Rogov, Boris V. High-order bicompact schemes for shock-capturing computations of detonation waves. (English. Russian original) Zbl 1427.80021 Comput. Math. Math. Phys. 59, No. 8, 1314-1323 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1381-1391 (2019). MSC: 80A25 80A32 65L06 76N15 76D07 35Q31 65M06 80M20 65L04 76M20 PDF BibTeX XML Cite \textit{M. D. Bragin} and \textit{B. V. Rogov}, Comput. Math. Math. Phys. 59, No. 8, 1314--1323 (2019; Zbl 1427.80021); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1381--1391 (2019) Full Text: DOI
Lipková, Jana; Arampatzis, Georgios; Chatelain, Philippe; Menze, Bjoern; Koumoutsakos, Petros \(S\)-leaping: an adaptive, accelerated stochastic simulation algorithm, bridging \(\tau\)-leaping and \(R\)-leaping. (English) Zbl 1422.92046 Bull. Math. Biol. 81, No. 8, 3074-3096 (2019). MSC: 92C40 92C42 60H35 92-08 PDF BibTeX XML Cite \textit{J. Lipková} et al., Bull. Math. Biol. 81, No. 8, 3074--3096 (2019; Zbl 1422.92046) Full Text: DOI arXiv
Kohlwey, Elena; Röhrig-Zöllner, Melven Half-explicit exponential Runge-Kutta methods for index-1 DAEs in helicopter simulation. (English) Zbl 1474.65260 Math. Comput. Sci. 13, No. 3, 341-365 (2019). MSC: 65L80 65L04 65L05 65L06 76-10 PDF BibTeX XML Cite \textit{E. Kohlwey} and \textit{M. Röhrig-Zöllner}, Math. Comput. Sci. 13, No. 3, 341--365 (2019; Zbl 1474.65260) Full Text: DOI
Dolgov, Sergey V. A tensor decomposition algorithm for large ODEs with conservation laws. (English) Zbl 1420.65030 Comput. Methods Appl. Math. 19, No. 1, 23-38 (2019). MSC: 65F10 65L05 65L04 65M22 65M70 65D15 15A23 15A69 PDF BibTeX XML Cite \textit{S. V. Dolgov}, Comput. Methods Appl. Math. 19, No. 1, 23--38 (2019; Zbl 1420.65030) Full Text: DOI arXiv
Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge I. A novel approach to rigid spheroid models in viscous flows using operator splitting methods. (English) Zbl 1436.65079 Numer. Algorithms 81, No. 4, 1423-1441 (2019). MSC: 65L04 65L20 65P10 PDF BibTeX XML Cite \textit{B. Tapley} et al., Numer. Algorithms 81, No. 4, 1423--1441 (2019; Zbl 1436.65079) Full Text: DOI arXiv
Luan, Vu Thai; Pudykiewicz, Janusz A.; Reynolds, Daniel R. Further development of efficient and accurate time integration schemes for meteorological models. (English) Zbl 1416.86011 J. Comput. Phys. 376, 817-837 (2019). MSC: 86A10 86-08 65L04 PDF BibTeX XML Cite \textit{V. T. Luan} et al., J. Comput. Phys. 376, 817--837 (2019; Zbl 1416.86011) Full Text: DOI arXiv
Balsara, Dinshaw S.; Li, Jiequan; Montecinos, Gino I. An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver. (English) Zbl 1416.76200 J. Comput. Phys. 375, 1238-1269 (2018). MSC: 76M25 65M08 35L65 35L40 35Q31 76N15 PDF BibTeX XML Cite \textit{D. S. Balsara} et al., J. Comput. Phys. 375, 1238--1269 (2018; Zbl 1416.76200) Full Text: DOI arXiv
Yousefzadeh, N.; Hojjati, G.; Abdi, A. Construction of implicit-explicit second-derivative BDF methods. (English) Zbl 1409.65045 Bull. Iran. Math. Soc. 44, No. 4, 991-1006 (2018). MSC: 65L05 PDF BibTeX XML Cite \textit{N. Yousefzadeh} et al., Bull. Iran. Math. Soc. 44, No. 4, 991--1006 (2018; Zbl 1409.65045) Full Text: DOI
Morel, Guillaume; Buet, Christophe; Despres, Bruno Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the \(P_1\) model. (English) Zbl 1401.65135 Comput. Methods Appl. Math. 18, No. 3, 521-557 (2018). MSC: 65N30 65N15 35Q70 PDF BibTeX XML Cite \textit{G. Morel} et al., Comput. Methods Appl. Math. 18, No. 3, 521--557 (2018; Zbl 1401.65135) Full Text: DOI
Steyer, Andrew J.; Van Vleck, Erik S. A Lyapunov and Sacker-Sell spectral stability theory for one-step methods. (English) Zbl 1431.65092 BIT 58, No. 3, 749-781 (2018). Reviewer: Alois Steindl (Wien) MSC: 65L04 65L05 65P40 65L20 PDF BibTeX XML Cite \textit{A. J. Steyer} and \textit{E. S. Van Vleck}, BIT 58, No. 3, 749--781 (2018; Zbl 1431.65092) Full Text: DOI arXiv
Ebadi, Moosa New class of hybrid BDF methods for the computation of numerical solutions of IVPs. (English) Zbl 1398.65160 Numer. Algorithms 79, No. 1, 179-193 (2018). MSC: 65L05 65Y05 PDF BibTeX XML Cite \textit{M. Ebadi}, Numer. Algorithms 79, No. 1, 179--193 (2018; Zbl 1398.65160) Full Text: DOI
Barghi Oskouie, N.; Hojjati, G.; Abdi, A. Efficient second derivative methods with extended stability regions for non-stiff IVPs. (English) Zbl 1404.65062 Comput. Appl. Math. 37, No. 2, 2001-2016 (2018). MSC: 65L06 65L05 65L20 34A34 65L04 PDF BibTeX XML Cite \textit{N. Barghi Oskouie} et al., Comput. Appl. Math. 37, No. 2, 2001--2016 (2018; Zbl 1404.65062) 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 PDF BibTeX XML Cite \textit{S. Boscarino} et al., Comput. Fluids 169, 155--168 (2018; Zbl 1410.65339) Full Text: DOI
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.; Pérez-Rodríguez, S. PDE-W-methods for parabolic problems with mixed derivatives. (English) Zbl 1447.65060 Numer. Algorithms 78, No. 3, 957-981 (2018). MSC: 65M20 65M06 65N06 65M12 35K10 65L04 65F05 PDF BibTeX XML Cite \textit{S. González-Pinto} et al., Numer. Algorithms 78, No. 3, 957--981 (2018; Zbl 1447.65060) Full Text: DOI
Herty, Michael; Yu, Hui Feedback boundary control of linear hyperbolic equations with stiff source term. (English) Zbl 1390.93634 Int. J. Control 91, No. 1, 230-240 (2018). MSC: 93D15 93D21 93C20 35Q93 35L40 93C05 PDF BibTeX XML Cite \textit{M. Herty} and \textit{H. Yu}, Int. J. Control 91, No. 1, 230--240 (2018; Zbl 1390.93634) 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 PDF BibTeX XML Cite \textit{J. O. Ehigie} et al., J. Math. Chem. 56, No. 4, 1130--1152 (2018; Zbl 1446.65197) Full Text: DOI
Conte, S. D.; de Boor, Carl Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. (English) Zbl 1392.65002 Classics in Applied Mathematics 78. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-519-2/pbk; 978-1-61197-520-8/ebook). xxiv, 456 p. (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65-01 65G50 65Dxx 41A05 41A15 41A55 65Hxx 65F05 65F10 65F15 65L05 65L10 65L20 65-04 PDF BibTeX XML Cite \textit{S. D. Conte} and \textit{C. de Boor}, Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2018; Zbl 1392.65002) Full Text: DOI
Boscarino, Sebastiano; Qiu, Jing-Mei; Russo, Giovanni Implicit-explicit integral deferred correction methods for stiff problems. (English) Zbl 1453.65153 SIAM J. Sci. Comput. 40, No. 2, A787-A816 (2018). MSC: 65L04 65L06 65L80 PDF BibTeX XML Cite \textit{S. Boscarino} et al., SIAM J. Sci. Comput. 40, No. 2, A787--A816 (2018; Zbl 1453.65153) Full Text: DOI arXiv
Zakerzadeh, Hamed; Noelle, Sebastian A note on the stability of implicit-explicit flux-splittings for stiff systems of hyperbolic conservation laws. (English) Zbl 1390.35186 Commun. Math. Sci. 16, No. 1, 1-15 (2018). MSC: 35L65 65M08 76M45 PDF BibTeX XML Cite \textit{H. Zakerzadeh} and \textit{S. Noelle}, Commun. Math. Sci. 16, No. 1, 1--15 (2018; Zbl 1390.35186) Full Text: DOI
Akinfenwa, O. A.; Abdulganiy, R. I.; Okunuga, S. A.; Irechukwu, V. Simpson’s \(\frac{3}{8}\)-type block method for stiff systems of ordinary differential equations. (English) Zbl 1474.65201 J. Niger. Math. Soc. 36, No. 3, 503-514 (2017). MSC: 65L04 65L05 65L06 PDF BibTeX XML Cite \textit{O. A. Akinfenwa} et al., J. Niger. Math. Soc. 36, No. 3, 503--514 (2017; Zbl 1474.65201) Full Text: Link
Kulikov, G. Yu.; Kulikova, M. V. Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering. (English) Zbl 07313873 Math. Comput. Simul. 142, 62-81 (2017). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{G. Yu. Kulikov} and \textit{M. V. Kulikova}, Math. Comput. Simul. 142, 62--81 (2017; Zbl 07313873) Full Text: DOI
Nguyen-Ba, Truong; Giordano, Thierry; Vaillancourt, Rémi On second derivative 3-stage Hermite-Birkhoff-Obrechkoff methods for stiff ODEs: \(A\)-stable up to order 10 with variable stepsize. (English) Zbl 1424.65097 Comput. Methods Differ. Equ. 5, No. 4, 324-347 (2017). MSC: 65L04 65L06 65L20 PDF BibTeX XML Cite \textit{T. Nguyen-Ba} et al., Comput. Methods Differ. Equ. 5, No. 4, 324--347 (2017; Zbl 1424.65097) Full Text: Link
Levashova, N. T.; Melnikova, A. A.; Luk’yanenko, D. V.; Sidorova, A. E.; Bytsura, S. V. Modeling of ecosystems as a process of self-organization. (Russian. English summary) Zbl 1413.92050 Mat. Model. 29, No. 11, 40-52 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 92D40 91D10 65L04 PDF BibTeX XML Cite \textit{N. T. Levashova} et al., Mat. Model. 29, No. 11, 40--52 (2017; Zbl 1413.92050) Full Text: MNR
Nasab, Masoumeh Hosseini; Hojjati, Gholamreza; Abdi, Ali A class of methods with optimal stability properties for the numerical solution of IVPs: construction and implementation. (English) Zbl 1404.65065 Int. J. Comput. Methods 14, No. 1, Article ID 1750007, 17 p. (2017). MSC: 65L06 65L04 65L05 PDF BibTeX XML Cite \textit{M. H. Nasab} et al., Int. J. Comput. Methods 14, No. 1, Article ID 1750007, 17 p. (2017; Zbl 1404.65065) Full Text: DOI
Dzhanunts, G. A.; Romm, Ya. E. The varying piecewise interpolation solution of the Cauchy problem for ordinary differential equations with iterative refinement. (English. Russian original) Zbl 1383.65072 Comput. Math. Math. Phys. 57, No. 10, 1616-1634 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 10, 1641-1660 (2017). MSC: 65L05 34A34 65L20 65L70 65Y20 65L04 PDF BibTeX XML Cite \textit{G. A. Dzhanunts} and \textit{Ya. E. Romm}, Comput. Math. Math. Phys. 57, No. 10, 1616--1634 (2017; Zbl 1383.65072); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 10, 1641--1660 (2017) Full Text: DOI
Kim, Philsu An enhanced Chebyshev collocation method based on the integration of Chebyshev interpolation. (English) Zbl 1384.65044 Kyungpook Math. J. 57, No. 2, 287-299 (2017). MSC: 65L05 65L60 65L04 34A34 65L70 65L20 PDF BibTeX XML Cite \textit{P. Kim}, Kyungpook Math. J. 57, No. 2, 287--299 (2017; Zbl 1384.65044) Full Text: DOI
Rath, Alexander Global error estimation for stiff differential equations. (English) Zbl 1383.65087 München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-8439-3134-2/pbk). viii, 95 p. (2017). MSC: 65L70 65L04 65L05 65L20 34A34 65L06 65M20 PDF BibTeX XML Cite \textit{A. Rath}, Global error estimation for stiff differential equations. München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2017; Zbl 1383.65087)
Einkemmer, Lukas; Tokman, Mayya; Loffeld, John On the performance of exponential integrators for problems in magnetohydrodynamics. (English) Zbl 1378.76132 J. Comput. Phys. 330, 550-565 (2017). MSC: 76W05 76M25 65L04 65Y20 PDF BibTeX XML Cite \textit{L. Einkemmer} et al., J. Comput. Phys. 330, 550--565 (2017; Zbl 1378.76132) Full Text: DOI arXiv
Antoñana, Mikel; Makazaga, Joseba; Murua, Ander Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes. (English) Zbl 1380.65416 Numer. Algorithms 76, No. 4, 861-880 (2017). MSC: 65P10 37M15 65L06 PDF BibTeX XML Cite \textit{M. Antoñana} et al., Numer. Algorithms 76, No. 4, 861--880 (2017; Zbl 1380.65416) Full Text: DOI arXiv
Wang, Lijin; Han, Xiaoying; Cao, Yanzhao; Najm, Habib N. Computational singular perturbation analysis of stochastic chemical systems with stiffness. (English) Zbl 1375.80013 J. Comput. Phys. 335, 404-425 (2017). MSC: 80A30 65C30 65L04 PDF BibTeX XML Cite \textit{L. Wang} et al., J. Comput. Phys. 335, 404--425 (2017; Zbl 1375.80013) Full Text: DOI