{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T07:38:21Z","timestamp":1648625901357},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,12,18]],"date-time":"2016-12-18T00:00:00Z","timestamp":1482019200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s10915-016-0336-0","type":"journal-article","created":{"date-parts":[[2016,12,18]],"date-time":"2016-12-18T08:16:53Z","timestamp":1482049013000},"page":"1212-1237","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A New Family of Regularized Kernels for the Harmonic Oscillator"],"prefix":"10.1007","volume":"71","author":[{"given":"Benjamin W.","family":"Ong","sequence":"first","affiliation":[]},{"given":"Andrew J.","family":"Christlieb","sequence":"additional","affiliation":[]},{"given":"Bryan D.","family":"Quaife","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,12,18]]},"reference":[{"key":"336_CR1","unstructured":"Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. National Bureau of Standards Applied Mathematics Series, vol. 55. For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC (1964)"},{"key":"336_CR2","unstructured":"Bate, R.R., Mueller, D.D., White, J.E.: Fundamentals of Astrodynamics. Dover Publications (1971)"},{"issue":"2","key":"336_CR3","doi-asserted-by":"publisher","first-page":"599","DOI":"10.1137\/S0036142903420959","volume":"42","author":"J Beale","year":"2004","unstructured":"Beale, J.: A grid-based boundary integral method for elliptic problems in three dimensions. SIAM J. Numer. Anal. 42(2), 599\u2013620 (2004)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1\u20133","key":"336_CR4","doi-asserted-by":"publisher","first-page":"306","DOI":"10.1016\/j.cpc.2004.06.076","volume":"164","author":"A Christlieb","year":"2004","unstructured":"Christlieb, A., Krasny, R., Verboncoeur, J.: A treecode algorithm for simulating electron dynamics in a Penning\u2013Malmberg trap. Comput. Phys. Commun. 164(1\u20133), 306\u2013310 (2004a)","journal-title":"Comput. Phys. Commun."},{"issue":"2 Part 1","key":"336_CR5","doi-asserted-by":"publisher","first-page":"384","DOI":"10.1109\/TPS.2004.826146","volume":"32","author":"A Christlieb","year":"2004","unstructured":"Christlieb, A., Krasny, R., Verboncoeur, J.: Efficient particle simulation of a virtual cathode using a grid-free treecode Poisson solver. IEEE Trans. Plasma Sci. 32(2 Part 1), 384\u2013389 (2004b)","journal-title":"IEEE Trans. Plasma Sci."},{"issue":"2 Part 1","key":"336_CR6","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1109\/TPS.2006.871104","volume":"34","author":"A Christlieb","year":"2006","unstructured":"Christlieb, A., Krasny, R., Verboncoeur, J., Emhoff, J., Boyd, I.: Grid-free plasma simulation techniques. IEEE Trans. Plasma Sci. 34(2 Part 1), 149\u2013165 (2006)","journal-title":"IEEE Trans. Plasma Sci."},{"issue":"4","key":"336_CR7","doi-asserted-by":"publisher","first-page":"1204","DOI":"10.1137\/S106482750038146X","volume":"23","author":"R Cortez","year":"2001","unstructured":"Cortez, R.: The method of regularized stokeslets. SIAM J. Sci. Comput. 23(4), 1204\u20131225 (2001)","journal-title":"SIAM J. Sci. Comput."},{"key":"336_CR8","doi-asserted-by":"publisher","unstructured":"Cortez, R., Minion, M.: The blob projection method for immersed boundary problems. J. Comput. Phys. 161(2), 428\u2013453 (2000). doi: 10.1006\/jcph.2000.6502 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021999100965021","DOI":"10.1006\/jcph.2000.6502"},{"issue":"4","key":"336_CR9","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1007\/s10543-004-5240-6","volume":"44","author":"E Faou","year":"2004","unstructured":"Faou, E., Hairer, E., Pham, T.L.: Energy conservation with non-symplectic methods: examples and counter-examples. BIT Numer. Math. 44(4), 699\u2013709 (2004). doi: 10.1007\/s10543-004-5240-6","journal-title":"BIT Numer. Math."},{"issue":"1","key":"336_CR10","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1016\/0167-2789(90)90019-L","volume":"43","author":"E Forest","year":"1990","unstructured":"Forest, E., Ruth, R.D.: Fourth-order symplectic integration. Phys. D 43(1), 105\u2013117 (1990). doi: 10.1016\/0167-2789(90)90019-L","journal-title":"Phys. D"},{"issue":"9","key":"336_CR11","doi-asserted-by":"publisher","first-page":"2367","DOI":"10.1109\/TPS.2010.2055165","volume":"38","author":"P Gibbon","year":"2010","unstructured":"Gibbon, P., Speck, R., Karmakar, A., Arnold, L., Frings, W., Berberich, B., Reiter, D., Masek, M.: Progress in mesh-free plasma simulation with parallel tree codes. IEEE Trans. Plasma Sci. 38(9), 2367\u20132376 (2010)","journal-title":"IEEE Trans. Plasma Sci."},{"key":"336_CR12","doi-asserted-by":"publisher","first-page":"458","DOI":"10.1016\/j.jcp.2013.05.050","volume":"252","author":"MM Hejlesen","year":"2013","unstructured":"Hejlesen, M.M., Rasmussen, J.T., Chatelain, P., Walther, J.H.: A high order solver for the unbounded Poisson equation. J. Comput. Phys. 252, 458\u2013467 (2013). doi: 10.1016\/j.jcp.2013.05.050","journal-title":"J. Comput. Phys."},{"key":"336_CR13","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1016\/j.jcp.2015.10.054","volume":"305","author":"B Hosseini","year":"2016","unstructured":"Hosseini, B., Nigam, N., Stockie, J.M.: On regularizations of the Dirac delta distribution. J. Comput. Phys. 305, 423\u2013447 (2016)","journal-title":"J. Comput. Phys."},{"key":"336_CR14","volume-title":"Classical Electrodynamics","author":"JD Jackson","year":"1999","unstructured":"Jackson, J.D.: Classical Electrodynamics. Wiley, New York (1999)"},{"issue":"2","key":"336_CR15","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1016\/0021-9991(86)90210-X","volume":"65","author":"R Krasny","year":"1986","unstructured":"Krasny, R.: Desingularization of periodic vortex sheet roll-up. J. Comput. Phys. 65(2), 292\u2013313 (1986)","journal-title":"J. Comput. Phys."},{"key":"336_CR16","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1017\/S0022112087002830","volume":"184","author":"R Krasny","year":"1987","unstructured":"Krasny, R.: Computation of vortex sheet roll-up in the Trefftz plane. J. Fluid Mech. 184, 123\u2013155 (1987)","journal-title":"J. Fluid Mech."},{"issue":"3","key":"336_CR17","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1016\/0021-9991(80)90040-6","volume":"37","author":"A Leonard","year":"1980","unstructured":"Leonard, A.: Vortex methods for flow simulation. J. Comput. Phys. 37(3), 289\u2013335 (1980). doi: 10.1016\/0021-9991(80)90040-6","journal-title":"J. Comput. Phys."},{"key":"336_CR18","doi-asserted-by":"publisher","unstructured":"Li, P., Johnston, H., Krasny, R.: A cartesian treecode for screened coulomb interactions. J. Comput. Phys. 228(10), 3858\u20133868 (2009). doi: 10.1016\/j.jcp.2009.02.022 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021999109000916","DOI":"10.1016\/j.jcp.2009.02.022"},{"issue":"2","key":"336_CR19","doi-asserted-by":"publisher","first-page":"879","DOI":"10.1006\/jcph.2001.6862","volume":"172","author":"K Lindsay","year":"2001","unstructured":"Lindsay, K., Krasny, R.: A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow. J. Comput. Phys. 172(2), 879\u2013907 (2001)","journal-title":"J. Comput. Phys."},{"issue":"3\u20134","key":"336_CR20","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1016\/0167-2789(94)90198-8","volume":"74","author":"A Majda","year":"1994","unstructured":"Majda, A., Majda, G., Zheng, Y.: Concentrations in the one-dimensional Vlasov\u2013Poisson equations, I: temporal development and non-unique weak solutions in the single component case. Phys. D 74(3\u20134), 268\u2013300 (1994)","journal-title":"Phys. D"},{"key":"336_CR21","doi-asserted-by":"crossref","unstructured":"Rostami, M.W., Olson, S.D.: Kernel-independent fast multipole method within the framework of regularized stokeslets. J. Fluids Struct. (2015). Under review","DOI":"10.1016\/j.jfluidstructs.2016.07.006"},{"issue":"4","key":"336_CR22","doi-asserted-by":"publisher","first-page":"2669","DOI":"10.1109\/TNS.1983.4332919","volume":"30","author":"RD Ruth","year":"1983","unstructured":"Ruth, R.D.: A canonical integration technique. IEEE Trans. Nucl. Sci. 30(4), 2669\u20132671 (1983). doi: 10.1109\/TNS.1983.4332919","journal-title":"IEEE Trans. Nucl. Sci."},{"issue":"1","key":"336_CR23","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1006\/jcph.1994.1050","volume":"111","author":"J Salmon","year":"1994","unstructured":"Salmon, J., Warren, M.: Skeletons from the treecode closet. J. Comput. Phys. 111(1), 136\u2013155 (1994)","journal-title":"J. Comput. Phys."},{"key":"336_CR24","doi-asserted-by":"publisher","unstructured":"Sim\u00f3, C.: New families of solutions in N-body problems. In: Casacuberta, C., Miro-Roig, R.M., Verdera, J., Xambo-Descamps, S. (eds.) European Congress of Mathematics. Progress in Mathematics, vol. 201, pp. 101\u2013115. Birkh\u00e4user, Basel (2001)","DOI":"10.1007\/978-3-0348-8268-2_6"},{"issue":"4","key":"336_CR25","doi-asserted-by":"publisher","first-page":"2510","DOI":"10.1137\/080726872","volume":"31","author":"D Wee","year":"2009","unstructured":"Wee, D., Marzouk, Y.M., Schlegel, F., Ghoniem, A.F.: Convergence characteristics and computational cost of two algebraic kernels in vortex methods with a tree-code algorithm. SIAM J. Sci. Comput. 31(4), 2510\u20132527 (2009). doi: 10.1137\/080726872","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"336_CR26","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1006\/jcph.1993.1216","volume":"109","author":"GS Winckelmans","year":"1993","unstructured":"Winckelmans, G.S., Leonard, A.: Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows. J. Comput. Phys. 109(2), 247\u2013273 (1993). doi: 10.1006\/jcph.1993.1216","journal-title":"J. Comput. Phys."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0336-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-016-0336-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0336-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,16]],"date-time":"2019-09-16T13:31:36Z","timestamp":1568640696000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-016-0336-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,18]]},"references-count":26,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["336"],"URL":"https:\/\/doi.org\/10.1007\/s10915-016-0336-0","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,18]]}}}