{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T13:27:50Z","timestamp":1777469270625,"version":"3.51.4"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,6,5]],"date-time":"2013-06-05T00:00:00Z","timestamp":1370390400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s10915-013-9734-8","type":"journal-article","created":{"date-parts":[[2013,6,4]],"date-time":"2013-06-04T08:13:26Z","timestamp":1370333606000},"page":"331-366","source":"Crossref","is-referenced-by-count":14,"title":["Spatially Dispersionless, Unconditionally Stable FC\u2013AD Solvers for Variable-Coefficient PDEs"],"prefix":"10.1007","volume":"58","author":[{"given":"O. P.","family":"Bruno","sequence":"first","affiliation":[]},{"given":"A.","family":"Prieto","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,6,5]]},"reference":[{"issue":"16","key":"9734_CR1","doi-asserted-by":"crossref","first-page":"6248","DOI":"10.1016\/j.jcp.2011.04.023","volume":"230","author":"N Albin","year":"2011","unstructured":"Albin, N., Bruno, O.P.: A spectral FC solver for the compressible Navier-Stokes equations in general domains I: explicit time-stepping. J. Comput. Phys. 230(16), 6248\u20136270 (2011)","journal-title":"J. Comput. Phys."},{"key":"9734_CR2","volume-title":"Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory","author":"CM Bender","year":"1978","unstructured":"Bender, C.M., Orszag, S.A.: Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory, vol. 1. Springer, Berlin (1978)"},{"key":"9734_CR3","volume-title":"Chebyshev and Fourier Spectral Methods","author":"JP Boyd","year":"2001","unstructured":"Boyd, J.P.: Chebyshev and Fourier Spectral Methods. Dover Publications, New York (2001)"},{"issue":"1","key":"9734_CR4","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1006\/jcph.2002.7023","volume":"178","author":"JP Boyd","year":"2002","unstructured":"Boyd, J.P.: A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds. J. Comput. Phys. 178(1), 118\u2013160 (2002)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"9734_CR5","doi-asserted-by":"crossref","first-page":"1094","DOI":"10.1016\/j.jcp.2007.08.029","volume":"227","author":"OP Bruno","year":"2007","unstructured":"Bruno, O.P., Han, Y., Pohlman, M.M.: Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis. J. Comput. Phys. 227(2), 1094\u20131125 (2007)","journal-title":"J. Comput. Phys."},{"issue":"6","key":"9734_CR6","doi-asserted-by":"crossref","first-page":"2009","DOI":"10.1016\/j.jcp.2009.11.020","volume":"229","author":"OP Bruno","year":"2010","unstructured":"Bruno, O.P., Lyon, M.: High-order unconditionally stable FC\u2013AD solvers for general smooth domains I. Basic elements. J. Comput. Phys. 229(6), 2009\u20132033 (2010)","journal-title":"J. Comput. Phys."},{"key":"9734_CR7","doi-asserted-by":"crossref","unstructured":"Bruno, O.P.: Fast, high-order, high-frequency integral methods for computational acoustics and electromagnetics. In Ainsworth, M., Davies, P., Duncan, D., Martin, P., Rynne, B. (eds.) Topics in Computational Wave Propagation Direct and Inverse Problems Series, Volume 31 of Lecture Notes in Computational Science and, Engineering, pp. 43\u201382 (2003)","DOI":"10.1007\/978-3-642-55483-4_2"},{"issue":"2","key":"9734_CR8","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1090\/S0002-9947-1956-0084194-4","volume":"82","author":"J Douglas Jr","year":"1956","unstructured":"Douglas Jr, J., Rachford Jr, H.H.: On the numerical solution of heat conduction problems in two and three space variables. T. Am. Math. Soc. 82(2), 421\u2013439 (1956)","journal-title":"T. Am. Math. Soc."},{"key":"9734_CR9","unstructured":"Evans, L.C.: Partial Differential Equations, Volume 12 of Graduate Studies in Mathematics. American Mathematical Society (1998)"},{"issue":"2","key":"9734_CR10","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1109\/JPROC.2004.840301","volume":"93","author":"M Frigo","year":"2005","unstructured":"Frigo, M., Johnson, S.G.: The design and implementation of FFTW 3. Proc. IEEE Micr. Elect. 93(2), 216\u2013231 (2005)","journal-title":"Proc. IEEE Micr. Elect."},{"key":"9734_CR11","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511618352","volume-title":"Spectral Methods for Time-Dependent Problems","author":"J Hesthaven","year":"2007","unstructured":"Hesthaven, J., Gottlieb, S., Gottlieb, D.: Spectral Methods for Time-Dependent Problems. Cambridge University Press, Cambridge (2007)"},{"issue":"6","key":"9734_CR12","doi-asserted-by":"crossref","first-page":"4326","DOI":"10.1137\/090752456","volume":"47","author":"D Huybrechs","year":"2010","unstructured":"Huybrechs, D.: On the Fourier extension of non-periodic functions. SIAM J. Numer. Anal. 47(6), 4326\u20134355 (2010)","journal-title":"SIAM J. Numer. Anal."},{"issue":"9","key":"9734_CR13","doi-asserted-by":"crossref","first-page":"3358","DOI":"10.1016\/j.jcp.2010.01.006","volume":"229","author":"M Lyon","year":"2010","unstructured":"Lyon, M., Bruno, O.P.: High-order unconditionally stable FC\u2013AD solvers for general smooth domains II. Elliptic, parabolic and hyperbolic PDEs; theoretical considerations. J. Comput. Phys. 229(9), 3358\u20133381 (2010)","journal-title":"J. Comput. Phys."},{"key":"9734_CR14","first-page":"197","volume-title":"Handbook of Numerical Analysis","author":"GI Marchuk","year":"1990","unstructured":"Marchuk, G.I.: Finite difference methods: splitting and alternating direction methods. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, vol. 1, pp. 197\u2013462. North-Holland, Amsterdam (1990)"},{"issue":"1","key":"9734_CR15","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1137\/0103003","volume":"3","author":"DW Peaceman","year":"1955","unstructured":"Peaceman, D.W., Rachford Jr, H.H.: The numerical solution of parabolic and elliptic differential equations. J. Soc. Ind. Appl. Math. 3(1), 28\u201341 (1955)","journal-title":"J. Soc. Ind. Appl. Math."},{"issue":"6","key":"9734_CR16","doi-asserted-by":"crossref","first-page":"2268","DOI":"10.1137\/S0036142993249760","volume":"33","author":"W Sun","year":"1996","unstructured":"Sun, W., Huang, W., Russell, R.D.: Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. SIAM J. Numer. Anal. 33(6), 2268\u20132285 (1996)","journal-title":"SIAM J. Numer. Anal."},{"key":"9734_CR17","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1137\/0909010","volume":"9","author":"HF Walker","year":"1988","unstructured":"Walker, H.F.: Implementation of the GMRES method using Householder transformations. SIAM J. Sci. Stat. Comput. 9, 152\u2013163 (1988)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"9734_CR18","volume-title":"A First Course in Partial Differential Equations with Complex Variables and Transform Methods","author":"HF Weinberger","year":"1995","unstructured":"Weinberger, H.F.: A First Course in Partial Differential Equations with Complex Variables and Transform Methods. Dover, New York (1995)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-013-9734-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-013-9734-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-013-9734-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,14]],"date-time":"2019-07-14T15:12:14Z","timestamp":1563117134000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-013-9734-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6,5]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["9734"],"URL":"https:\/\/doi.org\/10.1007\/s10915-013-9734-8","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6,5]]}}}