{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T10:21:46Z","timestamp":1775470906013,"version":"3.50.1"},"reference-count":56,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T00:00:00Z","timestamp":1616112000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T00:00:00Z","timestamp":1616112000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1620108"],"award-info":[{"award-number":["DMS-1620108"]}],"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":[[2021,5]]},"DOI":"10.1007\/s10915-021-01444-9","type":"journal-article","created":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T13:04:49Z","timestamp":1616159089000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Fast Sparse Grid Simulations of Fifth Order WENO Scheme for High Dimensional Hyperbolic PDEs"],"prefix":"10.1007","volume":"87","author":[{"given":"Xiaozhi","family":"Zhu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0831-6590","authenticated-orcid":false,"given":"Yong-Tao","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,3,19]]},"reference":[{"key":"1444_CR1","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1007\/s10915-013-9810-0","volume":"60","author":"F Ar\u00e0ndiga","year":"2014","unstructured":"Ar\u00e0ndiga, F., Mart\u00ed, M.C., Mulet, P.: Weights design for maximal order WENO schemes. J. Sci. Comput. 60, 641\u2013659 (2014)","journal-title":"J. Sci. Comput."},{"key":"1444_CR2","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1017\/S0962492904000182","volume":"13","author":"H-J Bungartz","year":"2004","unstructured":"Bungartz, H.-J., Griebel, M.: Sparse grids. Acta Numer. 13, 147\u2013269 (2004)","journal-title":"Acta Numer."},{"key":"1444_CR3","doi-asserted-by":"crossref","first-page":"7048","DOI":"10.1103\/PhysRevE.57.7048","volume":"57","author":"F Califano","year":"1998","unstructured":"Califano, F., Pegoraro, F., Bulanov, S.V., Mangeney, A.: Kinetic saturation of the Weibel instability in a collisionless plasma. Phys. Rev. E 57, 7048\u20137059 (1998)","journal-title":"Phys. Rev. E"},{"key":"1444_CR4","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/S0021-9991(02)00032-3","volume":"184","author":"JA Carrillo","year":"2003","unstructured":"Carrillo, J.A., Gamba, I.M., Majorana, A., Shu, C.-W.: A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices. Performance and comparisons with Monte Carlo methods. J. Comput. Phys. 184, 498\u2013525 (2003)","journal-title":"J. Comput. Phys."},{"key":"1444_CR5","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1137\/050644549","volume":"29","author":"JA Carrillo","year":"2007","unstructured":"Carrillo, J.A., Vecil, F.: Nonoscillatory interpolation methods applied to Vlasov-based models. SIAM J. Sci. Comput. 29, 1179\u20131206 (2007)","journal-title":"SIAM J. Sci. Comput."},{"key":"1444_CR6","doi-asserted-by":"crossref","first-page":"1766","DOI":"10.1016\/j.jcp.2010.11.028","volume":"230","author":"M Castro","year":"2011","unstructured":"Castro, M., Costa, B., Don, W.S.: High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. J. Comput. Phys. 230, 1766\u20131792 (2011)","journal-title":"J. Comput. Phys."},{"key":"1444_CR7","doi-asserted-by":"crossref","first-page":"4336","DOI":"10.1016\/j.jcp.2011.01.010","volume":"230","author":"S Chen","year":"2011","unstructured":"Chen, S., Zhang, Y.-T.: Krylov implicit integration factor methods for spatial discretization on high dimensional unstructured meshes: application to discontinuous Galerkin methods. J. Comput. Phys. 230, 4336\u20134352 (2011)","journal-title":"J. Comput. Phys."},{"key":"1444_CR8","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1090\/S0025-5718-2011-02504-4","volume":"81","author":"Y Cheng","year":"2012","unstructured":"Cheng, Y., Gamba, I.M., Proft, J.: Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Math. Comp. 81, 153\u2013190 (2012)","journal-title":"Math. Comp."},{"key":"1444_CR9","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.jcp.2007.04.004","volume":"226","author":"M Dumbser","year":"2007","unstructured":"Dumbser, M., K\u00e4ser, M., Titarev, V.A., Toro, E.F.: Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J. Comput. Phys. 226, 204\u2013243 (2007)","journal-title":"J. Comput. Phys."},{"key":"1444_CR10","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1137\/S003614450036757X","volume":"43","author":"S Gottlieb","year":"2001","unstructured":"Gottlieb, S., Shu, C.-W., Tadmor, E.: Strong stability-preserving high-order time discretization methods. SIAM Rev. 43, 89\u2013112 (2001)","journal-title":"SIAM Rev."},{"key":"1444_CR11","first-page":"263","volume-title":"Iterative Methods in Linear Algebra","author":"M Griebel","year":"1992","unstructured":"Griebel, M., Schneider, M., Zenger, C.: A combination technique for the solution of sparse grid problems. In: Beauwens, R., de Groen, P. (eds.) Iterative Methods in Linear Algebra, pp. 263\u2013281. North-Holland, Amsterdam (1992)"},{"issue":"6","key":"1444_CR12","doi-asserted-by":"crossref","first-page":"A3381","DOI":"10.1137\/16M1060017","volume":"38","author":"W Guo","year":"2016","unstructured":"Guo, W., Cheng, Y.: A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations. SIAM J. Sci. Comput. 38(6), A3381\u2013A3409 (2016)","journal-title":"SIAM J. Sci. Comput."},{"key":"1444_CR13","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1016\/j.jcp.2013.05.008","volume":"250","author":"W Hao","year":"2013","unstructured":"Hao, W., Hauenstein, J.D., Shu, C.-W., Sommese, A.J., Xu, Z., Zhang, Y.-T.: A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. J. Comput. Phys. 250, 332\u2013346 (2013)","journal-title":"J. Comput. Phys."},{"key":"1444_CR14","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1016\/j.jcp.2005.01.023","volume":"207","author":"A Henrick","year":"2005","unstructured":"Henrick, A., Aslam, T., Powers, J.: Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points. J. Comput. Phys. 207, 542\u2013567 (2005)","journal-title":"J. Comput. Phys."},{"key":"1444_CR15","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1006\/jcph.1998.6165","volume":"150","author":"C Hu","year":"1999","unstructured":"Hu, C., Shu, C.-W.: Weighted essentially non-oscillatory schemes on triangular meshes. J. Comput. Phys. 150, 97\u2013127 (1999)","journal-title":"J. Comput. Phys."},{"key":"1444_CR16","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1006\/jcph.1996.0130","volume":"126","author":"G-S Jiang","year":"1996","unstructured":"Jiang, G.-S., Shu, C.-W.: Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126, 202\u2013228 (1996)","journal-title":"J. Comput. Phys."},{"key":"1444_CR17","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1016\/j.jcp.2013.07.015","volume":"253","author":"T Jiang","year":"2013","unstructured":"Jiang, T., Zhang, Y.-T.: Krylov implicit integration factor WENO methods for semilinear and fully nonlinear advection-diffusion-reaction equations. J. Comput. Phys. 253, 368\u2013388 (2013)","journal-title":"J. Comput. Phys."},{"key":"1444_CR18","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.jcp.2016.01.021","volume":"311","author":"T Jiang","year":"2016","unstructured":"Jiang, T., Zhang, Y.-T.: Krylov single-step implicit integration factor WENO methods for advection-diffusion-reaction equations. J. Comput. Phys. 311, 22\u201344 (2016)","journal-title":"J. Comput. Phys."},{"key":"1444_CR19","doi-asserted-by":"crossref","first-page":"2381","DOI":"10.1137\/040614189","volume":"29","author":"A Kurganov","year":"2007","unstructured":"Kurganov, A., Petrova, G., Popov, B.: Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. SIAM J. Sci. Comput. 29, 2381\u20132401 (2007)","journal-title":"SIAM J. Sci. Comput."},{"key":"1444_CR20","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1016\/S0168-9274(01)00030-7","volume":"38","author":"B Lastdrager","year":"2001","unstructured":"Lastdrager, B., Koren, B., Verwer, J.: The sparse-grid combination technique applied to time-dependent advection problems. Appl. Numer. Math. 38, 377\u2013401 (2001)","journal-title":"Appl. Numer. Math."},{"key":"1444_CR21","doi-asserted-by":"crossref","first-page":"86","DOI":"10.2478\/cmam-2001-0006","volume":"1","author":"B Lastdrager","year":"2001","unstructured":"Lastdrager, B., Koren, B., Verwer, J.: Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a rosenbrock solver. Comput. Methods Appl. Math. 1, 86\u201399 (2001)","journal-title":"Comput. Methods Appl. Math."},{"key":"1444_CR22","doi-asserted-by":"crossref","first-page":"2229","DOI":"10.1137\/040612002","volume":"28","author":"D Levy","year":"2006","unstructured":"Levy, D., Nayak, S., Shu, C.-W., Zhang, Y.-T.: Central WENO schemes for Hamilton-Jacobi equations on triangular meshes. SIAM J. Sci. Comput. 28, 2229\u20132247 (2006)","journal-title":"SIAM J. Sci. Comput."},{"key":"1444_CR23","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1051\/m2an:1999152","volume":"33","author":"D Levy","year":"1999","unstructured":"Levy, D., Puppo, G., Russo, G.: Central WENO schemes for hyperbolic systems of conservation laws. M2AN. Math. Model. Numer. Anal. 33, 547\u2013571 (1999)","journal-title":"M2AN. Math. Model. Numer. Anal."},{"key":"1444_CR24","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1006\/jcph.1994.1187","volume":"115","author":"X-D Liu","year":"1994","unstructured":"Liu, X.-D., Osher, S., Chan, T.: Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115, 200\u2013212 (1994)","journal-title":"J. Comput. Phys."},{"key":"1444_CR25","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1007\/s10255-008-8826-y","volume":"25","author":"Y-Y Liu","year":"2009","unstructured":"Liu, Y.-Y., Shu, C.-W., Zhang, M.-P.: On the positivity of linear weights in WENO approximations. Acta Mathematicae Applicatae Sinica, English Series 25, 503\u2013538 (2009)","journal-title":"Acta Mathematicae Applicatae Sinica, English Series"},{"key":"1444_CR26","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/j.jcp.2019.03.021","volume":"388","author":"Y Liu","year":"2019","unstructured":"Liu, Y., Cheng, Y., Chen, S., Zhang, Y.-T.: Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations. J. Comput. Phys. 388, 90\u2013102 (2019)","journal-title":"J. Comput. Phys."},{"key":"1444_CR27","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1007\/s10915-012-9598-3","volume":"54","author":"Y Liu","year":"2013","unstructured":"Liu, Y., Zhang, Y.-T.: A robust reconstruction for unstructured WENO schemes. J. Sci. Comput. 54, 603\u2013621 (2013)","journal-title":"J. Sci. Comput."},{"key":"1444_CR28","doi-asserted-by":"crossref","first-page":"736","DOI":"10.1007\/s10915-016-0216-7","volume":"69","author":"D Lu","year":"2016","unstructured":"Lu, D., Zhang, Y.-T.: Krylov integration factor method on sparse grids for high spatial dimension convection-diffusion equations. J. Sci. Comput. 69, 736\u2013763 (2016)","journal-title":"J. Sci. Comput."},{"key":"1444_CR29","doi-asserted-by":"publisher","first-page":"980","DOI":"10.1007\/s10915-017-0398-7","volume":"73","author":"D Lu","year":"2017","unstructured":"Lu, D., Zhang, Y.-T.: Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems. J. Sci. Comput. 73, 980\u20131027 (2017). https:\/\/doi.org\/10.1007\/s10915-017-0398-7","journal-title":"J. Sci. Comput."},{"key":"1444_CR30","doi-asserted-by":"crossref","first-page":"57","DOI":"10.4310\/PAMQ.2018.v14.n1.a3","volume":"14","author":"D Lu","year":"2018","unstructured":"Lu, D., Chen, S., Zhang, Y.-T.: Third order WENO scheme on sparse grids for hyperbolic equations. Pure Appl. Math. Q. 14, 57\u201386 (2018)","journal-title":"Pure Appl. Math. Q."},{"key":"1444_CR31","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/s002110050474","volume":"84","author":"C Pflaum","year":"1999","unstructured":"Pflaum, C., Zhou, A.: Error analysis of the combination technique. Numer. Math. 84, 327\u2013350 (1999)","journal-title":"Numer. Math."},{"key":"1444_CR32","doi-asserted-by":"crossref","first-page":"1130","DOI":"10.1016\/j.jcp.2009.10.016","volume":"229","author":"J-M Qiu","year":"2010","unstructured":"Qiu, J.-M., Christlieb, A.: A conservative high order semi-Lagrangian WENO method for the Vlasov equation. J. Comput. Phys. 229, 1130\u20131149 (2010)","journal-title":"J. Comput. Phys."},{"key":"1444_CR33","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1093\/imanum\/drs004","volume":"33","author":"C Reisinger","year":"2013","unstructured":"Reisinger, C.: Analysis of linear difference schemes in the sparse grid combination technique. IMA J. Numer. Anal. 33, 544\u2013581 (2013)","journal-title":"IMA J. Numer. Anal."},{"key":"1444_CR34","doi-asserted-by":"crossref","first-page":"690","DOI":"10.1016\/S0021-9991(03)00094-9","volume":"186","author":"J Shi","year":"2003","unstructured":"Shi, J., Zhang, Y.-T., Shu, C.-W.: Resolution of high order WENO schemes for complicated flow structures. J. Comput. Phys. 186, 690\u2013696 (2003)","journal-title":"J. Comput. Phys."},{"key":"1444_CR35","volume-title":"Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics","author":"CW Shu","year":"1998","unstructured":"Shu, C.W.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In: Cockburn, B., Johnson, C., Shu, C.W., Tadmor, E., Quarteroni, A. (eds.) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics. Springer, Berlin (1998)"},{"key":"1444_CR36","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1137\/070679065","volume":"51","author":"C-W Shu","year":"2009","unstructured":"Shu, C.-W.: High order weighted essentially nonoscillatory schemes for convection dominated problems. SIAM Rev. 51, 82\u2013126 (2009)","journal-title":"SIAM Rev."},{"key":"1444_CR37","first-page":"591","volume-title":"Theory, Numerics and Applications of Hyperbolic Problems II, Springer Proceedings in Mathematics & Statistics","author":"C-W Shu","year":"2018","unstructured":"Shu, C.-W.: Bound-preserving high order schemes for hyperbolic equations: survey and recent developments. In: Klingenberg, C., Westdickenberg, M. (eds.) Theory, Numerics and Applications of Hyperbolic Problems II, Springer Proceedings in Mathematics & Statistics, pp. 591\u2013603. Springer, Berlin (2018)"},{"key":"1444_CR38","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/0021-9991(88)90177-5","volume":"77","author":"C-W Shu","year":"1988","unstructured":"Shu, C.-W., Osher, S.: Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77, 439\u2013471 (1988)","journal-title":"J. Comput. Phys."},{"key":"1444_CR39","first-page":"100022","volume":"3","author":"Z Tao","year":"2019","unstructured":"Tao, Z., Guo, W., Cheng, Y.: Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys.: X 3, 100022 (2019)","journal-title":"J. Comput. Phys.: X"},{"key":"1444_CR40","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1016\/j.jcp.2006.09.010","volume":"223","author":"EM Taylor","year":"2007","unstructured":"Taylor, E.M., Wu, M.W., Martin, M.P.: Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence. J. Comput. Phys. 223, 384\u2013397 (2007)","journal-title":"J. Comput. Phys."},{"key":"1444_CR41","doi-asserted-by":"crossref","first-page":"835","DOI":"10.4208\/cicp.130715.010216a","volume":"20","author":"L Wu","year":"2016","unstructured":"Wu, L., Zhang, Y.-T., Zhang, S., Shu, C.-W.: High order fixed-point sweeping WENO methods for steady state of hyperbolic conservation laws and its convergence study. Commun. Comput. Phys. 20, 835\u2013869 (2016)","journal-title":"Commun. Comput. Phys."},{"key":"1444_CR42","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1007\/s10915-010-9345-6","volume":"45","author":"T Xiong","year":"2010","unstructured":"Xiong, T., Zhang, M., Zhang, Y.-T., Shu, C.-W.: Fast sweeping fifth order WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment. J. Sci. Comput. 45, 514\u2013536 (2010)","journal-title":"J. Sci. Comput."},{"key":"1444_CR43","doi-asserted-by":"crossref","first-page":"4248","DOI":"10.1016\/j.jcp.2009.03.002","volume":"228","author":"N Yamaleev","year":"2009","unstructured":"Yamaleev, N., Carpenter, M.: A systematic methodology for constructing high-order energy stable WENO schemes. J. Comput. Phys. 228, 4248\u20134272 (2009)","journal-title":"J. Comput. Phys."},{"key":"1444_CR44","doi-asserted-by":"crossref","first-page":"076101","DOI":"10.1063\/1.3176473","volume":"21","author":"S Zhang","year":"2009","unstructured":"Zhang, S., Jiang, S., Zhang, Y.-T., Shu, C.-W.: The mechanism of sound generation in the interaction between a shock wave and two counter rotating vortices. Phys. Fluids 21, 076101 (2009)","journal-title":"Phys. Fluids"},{"key":"1444_CR45","doi-asserted-by":"crossref","first-page":"046709","DOI":"10.1103\/PhysRevE.68.046709","volume":"68","author":"Y-T Zhang","year":"2003","unstructured":"Zhang, Y.-T., Shi, J., Shu, C.-W., Zhou, Y.: Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers. Phys. Rev. E 68, 046709 (2003)","journal-title":"Phys. Rev. E"},{"key":"1444_CR46","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1137\/S1064827501396798","volume":"24","author":"Y-T Zhang","year":"2003","unstructured":"Zhang, Y.-T., Shu, C.-W.: High order WENO schemes for Hamilton-Jacobi equations on triangular meshes. SIAM J. Sci. Comput. 24, 1005\u20131030 (2003)","journal-title":"SIAM J. Sci. Comput."},{"key":"1444_CR47","first-page":"836","volume":"5","author":"Y-T Zhang","year":"2009","unstructured":"Zhang, Y.-T., Shu, C.-W.: Third order WENO scheme on three dimensional tetrahedral meshes. Commun. Comput. Phys. 5, 836\u2013848 (2009)","journal-title":"Commun. Comput. Phys."},{"key":"1444_CR48","first-page":"103","volume-title":"Handbook of Numerical Analysis, Volume 17, Handbook of Numerical Methods for Hyperbolic Problems: Basic and Fundamental Issues","author":"Y-T Zhang","year":"2016","unstructured":"Zhang, Y.-T., Shu, C.-W.: ENO and WENO schemes. In: Abgrall, R., Shu, C.-W. (eds.) Handbook of Numerical Analysis, Volume 17, Handbook of Numerical Methods for Hyperbolic Problems: Basic and Fundamental Issues, pp. 103\u2013122. North-Holland, Elsevier, Amsterdam (2016)"},{"key":"1444_CR49","doi-asserted-by":"crossref","first-page":"062705","DOI":"10.1063\/1.2201063","volume":"13","author":"Y-T Zhang","year":"2006","unstructured":"Zhang, Y.-T., Shu, C.-W., Zhou, Y.: Effects of shock waves on Rayleigh-Taylor instability. Phys. Plasmas 13, 062705 (2006)","journal-title":"Phys. Plasmas"},{"key":"1444_CR50","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1039\/D0AY02022B","volume":"13","author":"Y-T Zhang","year":"2006","unstructured":"Zhang, Y.-T., Zhao, H.-K., Chen, S.: Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations. Methods Appl. Anal. 13, 299\u2013320 (2006)","journal-title":"Methods Appl. Anal."},{"key":"1444_CR51","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/s10915-005-9014-3","volume":"29","author":"Y-T Zhang","year":"2006","unstructured":"Zhang, Y.-T., Zhao, H.-K., Qian, J.: High order fast sweeping methods for static Hamilton-Jacobi equations. J. Sci. Comput. 29, 25\u201356 (2006)","journal-title":"J. Sci. Comput."},{"key":"1444_CR52","first-page":"4983","volume":"24","author":"R Zhao","year":"2019","unstructured":"Zhao, R., Zhang, Y.-T., Chen, S.: Krylov implicit integration factor WENO method for SIR model with directed diffusion. Discrete Contin. Dyn. Syst. - Ser. B 24, 4983\u20135001 (2019)","journal-title":"Discrete Contin. Dyn. Syst. - Ser. B"},{"key":"1444_CR53","doi-asserted-by":"crossref","first-page":"1338","DOI":"10.1007\/s10915-017-0486-8","volume":"73","author":"J Zhu","year":"2017","unstructured":"Zhu, J., Qiu, J.-X.: A new type of finite volume WENO schemes for hyperbolic conservation laws. J. Sci. Comput. 73, 1338\u20131359 (2017)","journal-title":"J. Sci. Comput."},{"key":"1444_CR54","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1016\/j.jcp.2018.09.003","volume":"375","author":"J Zhu","year":"2018","unstructured":"Zhu, J., Shu, C.-W.: A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. J. Comput. Phys. 375, 659\u2013683 (2018)","journal-title":"J. Comput. Phys."},{"key":"1444_CR55","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.jcp.2019.04.027","volume":"392","author":"J Zhu","year":"2019","unstructured":"Zhu, J., Shu, C.-W.: A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes. J. Comput. Phys. 392, 19\u201333 (2019)","journal-title":"J. Comput. Phys."},{"key":"1444_CR56","first-page":"241","volume-title":"Notes on Numerical Fluid Mechanics","author":"C Zenger","year":"1991","unstructured":"Zenger, C.: Sparse grids. In: Hackbusch, W. (ed.) Notes on Numerical Fluid Mechanics, vol. 31, pp. 241\u2013251. Vieweg, Braunschweig (1991)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01444-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-021-01444-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01444-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,23]],"date-time":"2021-04-23T08:21:41Z","timestamp":1619166101000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-021-01444-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,19]]},"references-count":56,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,5]]}},"alternative-id":["1444"],"URL":"https:\/\/doi.org\/10.1007\/s10915-021-01444-9","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,19]]},"assertion":[{"value":"15 July 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 December 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 February 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 March 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"44"}}