{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T11:15:42Z","timestamp":1760267742566,"version":"3.37.3"},"reference-count":57,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,8,29]],"date-time":"2020-08-29T00:00:00Z","timestamp":1598659200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,29]],"date-time":"2020-08-29T00:00:00Z","timestamp":1598659200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["91730302","11671389"],"award-info":[{"award-number":["91730302","11671389"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Research Program of Frontier Sciences of the Chinese Academy of Sciences","award":["QYZDJ-SSW-SYS010"],"award-info":[{"award-number":["QYZDJ-SSW-SYS010"]}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["IIS-1632935"],"award-info":[{"award-number":["IIS-1632935"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s10915-020-01288-9","type":"journal-article","created":{"date-parts":[[2020,8,29]],"date-time":"2020-08-29T17:05:57Z","timestamp":1598720757000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations"],"prefix":"10.1007","volume":"84","author":[{"given":"Xiaoying","family":"Dai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiong","family":"Kuang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jack","family":"Xin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aihui","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,8,29]]},"reference":[{"issue":"5","key":"1288_CR1","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1016\/j.sysconle.2010.03.002","volume":"59","author":"V Acary","year":"2010","unstructured":"Acary, V., Brogliato, B.: Implicit euler numerical scheme and chattering-free implementation of sliding mode systems. Syst. Control Lett. 59(5), 284\u2013293 (2010)","journal-title":"Syst. Control Lett."},{"issue":"1\u20133","key":"1288_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0895-7177(00)00225-9","volume":"33","author":"JA Atwell","year":"2001","unstructured":"Atwell, J.A., King, B.B.: Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations. Math. Comput. Modell. 33(1\u20133), 1\u201319 (2001)","journal-title":"Math. Comput. Modell."},{"key":"1288_CR3","unstructured":"Bakker, M.: Simple groundwater flow models for seawater intrusion. Proceedings of SWIM16, Wolin Island, Poland. pp. 180\u2013182 (2000)"},{"issue":"4","key":"1288_CR4","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1137\/130932715","volume":"57","author":"P Benner","year":"2015","unstructured":"Benner, P., Gugercin, S., Willcox, K.: A survey of projection-based model reduction methods for parametric dynamical systems. SIAM Rev. 57(4), 483\u2013531 (2015)","journal-title":"SIAM Rev."},{"issue":"3","key":"1288_CR5","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1007\/BF01396452","volume":"40","author":"M Bieterman","year":"1982","unstructured":"Bieterman, M., Babu\u0161ka, I.: The finite element method for parabolic equations. Numer. Math. 40(3), 373\u2013406 (1982)","journal-title":"Numer. Math."},{"issue":"11","key":"1288_CR6","doi-asserted-by":"publisher","first-page":"2725","DOI":"10.1063\/1.868651","volume":"7","author":"L Biferale","year":"1995","unstructured":"Biferale, L., Crisanti, A., Vergassola, M., Vulpiani, A.: Eddy diffusivities in scalar transport. Phys. Fluids 7(11), 2725\u20132734 (1995)","journal-title":"Phys. Fluids"},{"issue":"1\u20132","key":"1288_CR7","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1016\/j.mcm.2010.08.015","volume":"53","author":"J Borggaard","year":"2011","unstructured":"Borggaard, J., Iliescu, T., Wang, Z.: Artificial viscosity proper orthogonal decomposition. Math. Comput. Modell. 53(1\u20132), 269\u2013279 (2011)","journal-title":"Math. Comput. Modell."},{"issue":"4","key":"1288_CR8","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/s11831-010-9056-z","volume":"17","author":"S Boyaval","year":"2010","unstructured":"Boyaval, S., Le Bris, C., Lelievre, T., Maday, Y., Nguyen, N.C., Patera, A.T.: Reduced basis techniques for stochastic problems. Arch. Comput. Methods Eng. 17(4), 435\u2013454 (2010)","journal-title":"Arch. Comput. Methods Eng."},{"key":"1288_CR9","volume-title":"The Mathematical Theory of Finite Element Methods","author":"S Brenner","year":"2007","unstructured":"Brenner, S., Scott, R.: The Mathematical Theory of Finite Element Methods. Springer, New York (2007)"},{"issue":"4","key":"1288_CR10","doi-asserted-by":"publisher","first-page":"937","DOI":"10.1007\/s10543-014-0484-2","volume":"54","author":"A Bueno-Orovio","year":"2014","unstructured":"Bueno-Orovio, A., Kay, D., Burrage, K.: Fourier spectral methods for fractional-in-space reaction-diffusion equations. BIT Numer. Math. 54(4), 937\u2013954 (2014)","journal-title":"BIT Numer. Math."},{"issue":"1\u20133","key":"1288_CR11","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1016\/j.cma.2006.04.004","volume":"196","author":"J Burkardt","year":"2006","unstructured":"Burkardt, J., Gunzburger, M., Lee, H.C.: POD and CVT-based reduced-order modeling of Navier-Stokes flows. Comput. Methods Appl. Mech. Eng. 196(1\u20133), 337\u2013355 (2006)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"1288_CR12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139086967","volume-title":"The One-Dimensional Heat Equation","author":"JR Cannon","year":"1984","unstructured":"Cannon, J.R.: The One-Dimensional Heat Equation. Addison-Wesley, Mento Park (1984)"},{"issue":"4","key":"1288_CR13","doi-asserted-by":"publisher","first-page":"1828","DOI":"10.1137\/130916096","volume":"12","author":"H Chen","year":"2014","unstructured":"Chen, H., Dai, X., Gong, X., He, L., Zhou, A.: Adaptive finite element approximations for Kohn-Sham models. Multiscale Model. Simul. 12(4), 1828\u20131869 (2014)","journal-title":"Multiscale Model. Simul."},{"key":"1288_CR14","volume-title":"Stretch, Twist, Fold: The Fast Dynamo","author":"S Childress","year":"1995","unstructured":"Childress, S., Gilbert, A.D.: Stretch, Twist, Fold: The Fast Dynamo. Springer, Berlin (1995)"},{"key":"1288_CR15","doi-asserted-by":"crossref","unstructured":"Chinesta, F., Huerta, A., Rozza, G., Willcox, K.: Model reduction methods. Encyclopedia of Computational Mechanics Second Edition. pp. 1\u201336 (2017)","DOI":"10.1002\/9781119176817.ecm2110"},{"key":"1288_CR16","unstructured":"Dai, X., Kuang, X., Liu, Z., Jack, X., Zhou, A.: An adaptive proper orthogonal decomposition galerkin method for time dependent problems. preprint (2017)"},{"issue":"3","key":"1288_CR17","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1007\/s00211-008-0169-3","volume":"110","author":"X Dai","year":"2008","unstructured":"Dai, X., Xu, J., Zhou, A.: Convergence and optimal complexity of adaptive finite element eigenvalue computations. Numer. Math. 110(3), 313\u2013355 (2008)","journal-title":"Numer. Math."},{"issue":"1","key":"1288_CR18","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1137\/06067780X","volume":"46","author":"X Dai","year":"2008","unstructured":"Dai, X., Zhou, A.: Three-scale finite element discretizations for quantum eigenvalue problems. SIAM J. Numer. Anal. 46(1), 295\u2013324 (2008)","journal-title":"SIAM J. Numer. Anal."},{"issue":"5","key":"1288_CR19","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1109\/43.384428","volume":"14","author":"P Feldmann","year":"1995","unstructured":"Feldmann, P., Freund, R.W.: Efficient linear circuit analysis by pad\u00e9 approximation via the lanczos process. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 14(5), 639\u2013649 (1995)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"issue":"2088","key":"1288_CR20","first-page":"3251","volume":"463","author":"AI Forrester","year":"2007","unstructured":"Forrester, A.I., S\u00f3bester, A., Keane, A.J.: Multi-fidelity optimization via surrogate modelling. Proc. R. Soc. A Math. Phys. Eng. Sci. 463(2088), 3251\u20133269 (2007)","journal-title":"Proc. R. Soc. A Math. Phys. Eng. Sci."},{"issue":"1\u20134","key":"1288_CR21","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1080\/03091929208229056","volume":"66","author":"B Galanti","year":"1992","unstructured":"Galanti, B., Sulem, P.L., Pouquet, A.: Linear and non-linear dynamos associated with abc flows. Geophys. Astrophys. Fluid Dyn. 66(1\u20134), 183\u2013208 (1992)","journal-title":"Geophys. Astrophys. Fluid Dyn."},{"key":"1288_CR22","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1038\/356691a0","volume":"356","author":"DJ Galloway","year":"1992","unstructured":"Galloway, D.J., Proctor, M.R.: Numerical calculations of fast dynamos in smooth velocity fields with realistic diffusion. Nature 356, 691\u2013693 (1992)","journal-title":"Nature"},{"issue":"6","key":"1288_CR23","doi-asserted-by":"publisher","first-page":"1941","DOI":"10.1007\/s10444-018-9620-x","volume":"44","author":"C Gr\u00e4\u00dfle","year":"2018","unstructured":"Gr\u00e4\u00dfle, C., Hinze, M.: POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. Adv. Comput. Math. 44(6), 1941\u20131978 (2018)","journal-title":"Adv. Comput. Math."},{"issue":"8","key":"1288_CR24","doi-asserted-by":"publisher","first-page":"748","DOI":"10.1080\/00207170410001713448","volume":"77","author":"S Gugercin","year":"2004","unstructured":"Gugercin, S., Antoulas, A.C.: A survey of model reduction by balanced truncation and some new results. Int. J. Control 77(8), 748\u2013766 (2004)","journal-title":"Int. J. Control"},{"key":"1288_CR25","doi-asserted-by":"crossref","unstructured":"Hesthaven, J.S., Rozza, G., Stamm, B.: Certified reduced basis methods for parametrized partial differential equations, vol. 590. Springer, (2016)","DOI":"10.1007\/978-3-319-22470-1"},{"issue":"2","key":"1288_CR26","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1006\/jcph.1998.5943","volume":"143","author":"K Ito","year":"1998","unstructured":"Ito, K., Ravindran, S.: A reduced-order method for simulation and control of fluid flows. J. Comput. Phys. 143(2), 403\u2013425 (1998)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"1288_CR27","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/0021-9991(83)90015-3","volume":"52","author":"D Kosloff","year":"1983","unstructured":"Kosloff, D., Kosloff, R.: A fourier method solution for the time dependent schr\u00f6dinger equation as a tool in molecular dynamics. J. Comput. Phys. 52(1), 35\u201353 (1983)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"1288_CR28","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1007\/s002110100282","volume":"90","author":"K Kunisch","year":"2001","unstructured":"Kunisch, K., Volkwein, S.: Galerkin proper orthogonal decomposition methods for parabolic problems. Numer. Math. 90(1), 117\u2013148 (2001)","journal-title":"Numer. Math."},{"issue":"3","key":"1288_CR29","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1051\/m2an\/2010011","volume":"44","author":"K Kunisch","year":"2010","unstructured":"Kunisch, K., Volkwein, S.: Optimal snapshot location for computing POD basis functions. ESAIM: Math. Model. Numer. Anal. 44(3), 509\u2013529 (2010)","journal-title":"ESAIM: Math. Model. Numer. Anal."},{"key":"1288_CR30","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717839","volume-title":"Finite Difference Methods for Ordinary and Partial Differential equations: steady-state and time-dependent problems","author":"RJ LeVeque","year":"2007","unstructured":"LeVeque, R.J.: Finite Difference Methods for Ordinary and Partial Differential equations: steady-state and time-dependent problems. SIAM, Philadelphia (2007)"},{"key":"1288_CR31","unstructured":"Lumley, J.L.: The structure of inhomogeneous turbulent flows. In: Atmospheric Turbulence and Radio Wave Propagation, pp. 166\u2013178 (1967)"},{"issue":"1\u20133","key":"1288_CR32","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/S0895-7177(00)00240-5","volume":"33","author":"HV Ly","year":"2001","unstructured":"Ly, H.V., Tran, H.T.: Modeling and control of physical processes using proper orthogonal decomposition. Math. Comput. Modell. 33(1\u20133), 223\u2013236 (2001)","journal-title":"Math. Comput. Modell."},{"issue":"2","key":"1288_CR33","doi-asserted-by":"publisher","first-page":"351","DOI":"10.4208\/nmtma.2017.s08","volume":"10","author":"J Lyu","year":"2017","unstructured":"Lyu, J., Xin, J., Yu, Y.: Computing residual diffusivity by adaptive basis learning via spectral method. Numer. Math. Theory Methods Appl. 10(2), 351\u2013372 (2017)","journal-title":"Numer. Math. Theory Methods Appl."},{"key":"1288_CR34","doi-asserted-by":"crossref","unstructured":"Maday, Y.: Reduced basis method for the rapid and reliable solution of partial differential equations. In: Proceedings of International Conference of Mathematicians, European Mathematical Society, volume III, pp. 1255\u20131270 (2006)","DOI":"10.4171\/022-3\/60"},{"issue":"1\u20134","key":"1288_CR35","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1023\/A:1015197908587","volume":"17","author":"Y Maday","year":"2002","unstructured":"Maday, Y., R\u00f8nquist, E.M.: A reduced-basis element method. J. Sci. Comput. 17(1\u20134), 447\u2013459 (2002)","journal-title":"J. Sci. Comput."},{"issue":"10","key":"1288_CR36","doi-asserted-by":"publisher","first-page":"746","DOI":"10.1002\/nme.4761","volume":"100","author":"LW Ng","year":"2014","unstructured":"Ng, L.W., Willcox, K.E.: Multifidelity approaches for optimization under uncertainty. Int. J. Numer. Methods Eng. 100(10), 746\u2013772 (2014)","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"4","key":"1288_CR37","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1070\/RM1983v038n04ABEH004207","volume":"38","author":"AM Obukhov","year":"1983","unstructured":"Obukhov, A.M.: Kolmogorov flow and laboratory simulation of it. Rus. Math. Surv. 38(4), 113\u2013126 (1983)","journal-title":"Rus. Math. Surv."},{"key":"1288_CR38","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.cma.2015.03.018","volume":"291","author":"B Peherstorfer","year":"2015","unstructured":"Peherstorfer, B., Willcox, K.: Dynamic data-driven reduced-order models. Comput. Methods Appl. Mech. Eng. 291, 21\u201341 (2015)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"3","key":"1288_CR39","doi-asserted-by":"publisher","first-page":"550","DOI":"10.1137\/16M1082469","volume":"60","author":"B Peherstorfer","year":"2018","unstructured":"Peherstorfer, B., Willcox, K., Gunzburger, M.: Survey of multifidelity methods in uncertainty propagation, inference, and optimization. SIAM Rev. 60(3), 550\u2013591 (2018)","journal-title":"SIAM Rev."},{"key":"1288_CR40","unstructured":"PHG: http:\/\/lsec.cc.ac.cn\/phg\/"},{"key":"1288_CR41","doi-asserted-by":"crossref","unstructured":"Pinnau, R.: Model reduction via proper orthogonal decomposition. In: Model Order Reduction: Theory, Research Aspects and Applications, pp. 95\u2013109. Springer, Berlin, Heidelberg (2008)","DOI":"10.1007\/978-3-540-78841-6_5"},{"key":"1288_CR42","volume-title":"Reduced Order Methods for Modeling and Computational reduction","author":"A Quarteroni","year":"2014","unstructured":"Quarteroni, A., Rozza, G.: Reduced Order Methods for Modeling and Computational reduction, vol. 9. Springer, Berlin (2014)"},{"issue":"9","key":"1288_CR43","doi-asserted-by":"publisher","first-page":"844","DOI":"10.1002\/nme.4947","volume":"104","author":"ML Rap\u00fan","year":"2015","unstructured":"Rap\u00fan, M.L., Terragni, F., Vega, J.M.: Adaptive pod-based low-dimensional modeling supported by residual estimates. Int. J. Numer. Method Eng. 104(9), 844\u2013868 (2015)","journal-title":"Int. J. Numer. Method Eng."},{"issue":"8","key":"1288_CR44","doi-asserted-by":"publisher","first-page":"3046","DOI":"10.1016\/j.jcp.2009.12.029","volume":"229","author":"ML Rap\u00fan","year":"2010","unstructured":"Rap\u00fan, M.L., Vega, J.M.: Reduced order models based on local pod plus galerkin projection. J. Comput. Phys. 229(8), 3046\u20133063 (2010)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"1288_CR45","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1051\/mmnp\/20138311","volume":"8","author":"L Shen","year":"2013","unstructured":"Shen, L., Xin, J., Zhou, A.: Finite element computation of KPP front speeds in 3d cellular and abc flows. Math. Model. Nat. Phenom. 8(3), 182\u2013197 (2013)","journal-title":"Math. Model. Nat. Phenom."},{"issue":"3","key":"1288_CR46","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1090\/qam\/910462","volume":"45","author":"L Sirovich","year":"1987","unstructured":"Sirovich, L.: Turbulence and the dynamics of coherent structures. Part I: coherent structures. Q. Appl. Math. 45(3), 561\u2013571 (1987)","journal-title":"Q. Appl. Math."},{"key":"1288_CR47","series-title":"Applied Mathematics and Computation","volume-title":"Numerical Solution of Partial Differential Equations: Finite Difference methods","author":"GD Smith","year":"1986","unstructured":"Smith, G.D.: Numerical Solution of Partial Differential Equations: Finite Difference methods. Applied Mathematics and Computation. Oxford University Press, Oxford (1986)"},{"issue":"1","key":"1288_CR48","doi-asserted-by":"publisher","first-page":"1046","DOI":"10.1137\/140969002","volume":"3","author":"AL Teckentrup","year":"2015","unstructured":"Teckentrup, A.L., Jantsch, P., Webster, C.G., Gunzburger, M.: A multilevel stochastic collocation method for partial differential equations with random input data. SIAM\/ASA Journal on Uncertainty Quantification. 3(1), 1046\u20131074 (2015)","journal-title":"SIAM\/ASA Journal on Uncertainty Quantification."},{"key":"1288_CR49","unstructured":"Terragni, F., Vega, J.M.: Simulation of complex dynamics using pod\u2019on the fly\u2019and residual estimates. In: Dynamical Systems, Differential Equations and Applications AIMS Proceedings. pp. 1060\u20131069 (2015)"},{"key":"1288_CR50","volume-title":"Galerkin Finite Element Methods for Parabolic Problems","author":"V Thom\u00e9e","year":"1984","unstructured":"Thom\u00e9e, V.: Galerkin Finite Element Methods for Parabolic Problems, vol. 25. Springer, Berlin (1984)"},{"issue":"1","key":"1288_CR51","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1137\/040618527","volume":"44","author":"F Tone","year":"2006","unstructured":"Tone, F., Wirosoetisno, D.: On the long-time stability of the implicit euler scheme for the two-dimensional navier-stokes equations. SIAM J. Numer. Anal. 44(1), 29\u201340 (2006)","journal-title":"SIAM J. Numer. Anal."},{"key":"1288_CR52","series-title":"Lecture Notes,Institute of Mathematics and Scientific Computing","volume-title":"Model Reduction Using Proper Orthogonal Decomposition","author":"S Volkwein","year":"2011","unstructured":"Volkwein, S.: Model Reduction Using Proper Orthogonal Decomposition. Lecture Notes,Institute of Mathematics and Scientific Computing, vol. 1025. University of Graz, Graz (2011)"},{"key":"1288_CR53","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1017\/S0022112095001133","volume":"288","author":"A Wirth","year":"1995","unstructured":"Wirth, A., Gama, S., Frisch, U.: Eddy viscosity of three-dimensional flow. J. Fluid Mech. 288, 249\u2013264 (1995)","journal-title":"J. Fluid Mech."},{"issue":"6","key":"1288_CR54","doi-asserted-by":"publisher","first-page":"4087","DOI":"10.1137\/16M1076241","volume":"48","author":"J Xin","year":"2016","unstructured":"Xin, J., Yu, Y., Zlatos, A.: Periodic orbits of the abc flow with a= b= c= 1. SIAM J. Math. Anal. 48(6), 4087\u20134093 (2016)","journal-title":"SIAM J. Math. Anal."},{"issue":"231","key":"1288_CR55","doi-asserted-by":"publisher","first-page":"881","DOI":"10.1090\/S0025-5718-99-01149-7","volume":"69","author":"J Xu","year":"2000","unstructured":"Xu, J., Zhou, A.: Local and parallel finite element algorithms based on two-grid discretizations. Math. Comput. 69(231), 881\u2013909 (2000)","journal-title":"Math. Comput."},{"issue":"233","key":"1288_CR56","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1090\/S0025-5718-99-01180-1","volume":"70","author":"J Xu","year":"2001","unstructured":"Xu, J., Zhou, A.: A two-grid discretization scheme for eigenvalue problems. Math. Comput. 70(233), 17\u201325 (2001)","journal-title":"Math. Comput."},{"key":"1288_CR57","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.physd.2015.07.001","volume":"311","author":"P Zu","year":"2015","unstructured":"Zu, P., Chen, L., Xin, J.: A computational study of residual kpp front speeds in time-periodic cellular flows in the small diffusion limit. Physica D 311, 37\u201344 (2015)","journal-title":"Physica D"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01288-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-020-01288-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01288-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,28]],"date-time":"2021-08-28T23:08:40Z","timestamp":1630192120000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-020-01288-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,29]]},"references-count":57,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["1288"],"URL":"https:\/\/doi.org\/10.1007\/s10915-020-01288-9","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2020,8,29]]},"assertion":[{"value":"23 June 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 April 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 July 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 August 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"47"}}