{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,10]],"date-time":"2026-08-10T10:37:07Z","timestamp":1786358227139,"version":"3.56.0"},"reference-count":24,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,8,4]],"date-time":"2026-08-04T00:00:00Z","timestamp":1785801600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004506","name":"Czestochowa University of Technology","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004506","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100021676","name":"AGH University of Krakow Academic Computer Centre Cyfronet","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100021676","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004281","name":"National Science Centre Poland","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004281","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational Physics"],"published-print":{"date-parts":[[2026,12]]},"DOI":"10.1016\/j.jcp.2026.115277","type":"journal-article","created":{"date-parts":[[2026,8,6]],"date-time":"2026-08-06T16:20:15Z","timestamp":1786033215000},"page":"115277","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Asymptotic global spectral analysis of physical and spurious modes in three-level time-integration methods applied to Fourier-discretised convection-diffusion dynamics"],"prefix":"10.1016","volume":"566","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0713-1121","authenticated-orcid":false,"given":"A.","family":"Boguslawski","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4844-0289","authenticated-orcid":false,"given":"A.","family":"Tyliszczak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5422-2819","authenticated-orcid":false,"given":"B.J.","family":"Geurts","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.jcp.2026.115277_bib0001","doi-asserted-by":"crossref","DOI":"10.1016\/j.compfluid.2023.105915","article-title":"Global spectral analysis: review of numerical methods","volume":"261","author":"Sagaut","year":"2023","journal-title":"Comput. Fluids"},{"issue":"2","key":"10.1016\/j.jcp.2026.115277_bib0002","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/j.jcp.2003.07.015","article-title":"Analysis of central and upwind compact schemes","volume":"192","author":"Sengupta","year":"2003","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2026.115277_bib0003","doi-asserted-by":"crossref","first-page":"3048","DOI":"10.1016\/j.jcp.2009.01.003","article-title":"A new combined stable and dispersion relation preserving compact scheme for non-periodic problems","volume":"228","author":"Sengupta","year":"2009","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2026.115277_bib0004","series-title":"High accuracy computing methods: fluid flows and wave phenomena","author":"Sengupta","year":"2013"},{"key":"10.1016\/j.jcp.2026.115277_bib0005","unstructured":"T.K. Sengupta, V.K. Suman, P. Sundaram, A. Sengupta, Analysis of pseudo-spectral methods used for numerical simulation of turbulence, 2021, arXiv: 2109.00255."},{"key":"10.1016\/j.jcp.2026.115277_bib0006","doi-asserted-by":"crossref","DOI":"10.1016\/j.compfluid.2025.106754","article-title":"Direct simulation of two-dimensional flows by pseudo-spectral method: special features and validations by taylor\u2013green vortex problem","volume":"300","author":"Suman","year":"2025","journal-title":"Comput. Fluids"},{"issue":"2","key":"10.1016\/j.jcp.2026.115277_bib0007","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1023\/B:JOMP.0000030076.74896.d7","article-title":"A comparative study of time advancement methods for solving navier\u2013stokes equations","volume":"21","author":"Sengupta","year":"2004","journal-title":"J. Sci. Comput."},{"issue":"2","key":"10.1016\/j.jcp.2026.115277_bib0008","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/s10915-005-4928-3","article-title":"High accuracy schemes for DNS and acoustics","volume":"26","author":"Sengupta","year":"2005","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.jcp.2026.115277_bib0009","series-title":"Turbulent Flows","author":"Pope","year":"2000"},{"key":"10.1016\/j.jcp.2026.115277_bib0010","series-title":"Large eddy simulation for incompressible flows","author":"Sagaut","year":"2001"},{"key":"10.1016\/j.jcp.2026.115277_bib0011","series-title":"Numerical Prediction and Dynamic Meteorology","author":"Haltiner","year":"1980"},{"issue":"1","key":"10.1016\/j.jcp.2026.115277_bib0012","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1175\/1520-0493(1965)093<0011:OTCSON>2.3.CO;2","article-title":"On the computational stability of numerical solution of time-dependent nonlinear geophysical fluid dynamics problems","volume":"93","author":"Lilly","year":"1965","journal-title":"Mon. Weather Rev."},{"key":"10.1016\/j.jcp.2026.115277_bib0013","series-title":"Numerical Methods for Wave Equations in Geophysical Fluid Dynamics","author":"Durran","year":"1999"},{"key":"10.1016\/j.jcp.2026.115277_bib0014","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1017\/S0022112087000892","article-title":"Turbulence statistics in fully developed channel flow at low Reynolds number","volume":"177","author":"Kim","year":"1987","journal-title":"J. Fluid Mech."},{"key":"10.1016\/j.jcp.2026.115277_bib0015","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1115\/1.1366680","article-title":"Direct numerical simulation of a fully developed turbulent channel flow with respect to reynolds number dependence","volume":"123","author":"Abe","year":"2001","journal-title":"J. Fluids Eng."},{"key":"10.1016\/j.jcp.2026.115277_bib0016","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.compfluid.2017.04.009","article-title":"Spectral analysis of finite difference schemes for convection diffusion equation","volume":"150","author":"Suman","year":"2017","journal-title":"Comput. Fluids"},{"key":"10.1016\/j.jcp.2026.115277_bib0017","first-page":"41","article-title":"Global spectral analysis of multi-level time integration schemes: numerical properties for error analysis","volume":"304","author":"Sengupta","year":"2017","journal-title":"Appl. Math. Comput."},{"issue":"1","key":"10.1016\/j.jcp.2026.115277_bib0018","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/BF01963532","article-title":"A special stability problem for linear multistep methods","volume":"3","author":"Dahlquist","year":"1963","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.jcp.2026.115277_bib0019","series-title":"Numerical Mathematics","author":"Quarteroni","year":"2007"},{"key":"10.1016\/j.jcp.2026.115277_bib0020","series-title":"Spectral methods in fluid dynamics","author":"Canuto","year":"1988"},{"key":"10.1016\/j.jcp.2026.115277_bib0021","series-title":"Elements of Direct and Large-Eddy Simulation","author":"Geurts","year":"2003"},{"key":"10.1016\/j.jcp.2026.115277_bib0022","series-title":"Fourier analysis of numerical approximations of hyperbolic equations","author":"Vichnevetsky","year":"1982"},{"key":"10.1016\/j.jcp.2026.115277_bib0023","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/0021-9991(92)90324-R","article-title":"Compact finite difference with spectral-like resolution","volume":"103","author":"Lele","year":"1992","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2026.115277_bib0024","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/j.camwa.2022.01.006","article-title":"High-order compact difference schemes on wide computational stencils with a spectral-like accuracy","volume":"108","author":"Caban","year":"2022","journal-title":"Comput. Math. Appl."}],"container-title":["Journal of Computational Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021999126006261?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021999126006261?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,8,10]],"date-time":"2026-08-10T10:20:49Z","timestamp":1786357249000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0021999126006261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,12]]},"references-count":24,"alternative-id":["S0021999126006261"],"URL":"https:\/\/doi.org\/10.1016\/j.jcp.2026.115277","relation":{},"ISSN":["0021-9991"],"issn-type":[{"value":"0021-9991","type":"print"}],"subject":[],"published":{"date-parts":[[2026,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Asymptotic global spectral analysis of physical and spurious modes in three-level time-integration methods applied to Fourier-discretised convection-diffusion dynamics","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational Physics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jcp.2026.115277","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Author(s). Published by Elsevier Inc.","name":"copyright","label":"Copyright"}],"article-number":"115277"}}