{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T23:05:48Z","timestamp":1725750348946},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642415142"},{"type":"electronic","value":"9783642415159"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-41515-9_57","type":"book-chapter","created":{"date-parts":[[2013,10,1]],"date-time":"2013-10-01T06:08:27Z","timestamp":1380607707000},"page":"502-508","source":"Crossref","is-referenced-by-count":0,"title":["Numerical Solving of Functional Differential Equations in Partial Derivatives on a Remote Server through a Web Interface"],"prefix":"10.1007","author":[{"given":"Svyatoslav I.","family":"Solodushkin","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"57_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4050-1","volume-title":"Theory and applications of partial functional differential equations","author":"J. Wu","year":"1996","unstructured":"Wu, J.: Theory and applications of partial functional differential equations. Springer, New York (1996)"},{"key":"57_CR2","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1115\/1.3636609","volume":"30","author":"P.K.C. Wang","year":"1963","unstructured":"Wang, P.K.C.: Asymptotic stability of a time-delayed diffusion system. J. Appl. Mech.\u00a030, 500\u2013504 (1963)","journal-title":"J. Appl. Mech."},{"key":"57_CR3","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.nonrwa.2011.07.014","volume":"13","author":"C.L. Jorcyk","year":"2012","unstructured":"Jorcyk, C.L., Kolev, M., Tawara, K., Zubik-Kowal, B.: Experimental versus numerical data for breast cancer progression. Nonlinear Analysis: Real World Applications\u00a013, 78\u201384 (2012)","journal-title":"Nonlinear Analysis: Real World Applications"},{"issue":"5","key":"57_CR4","doi-asserted-by":"publisher","first-page":"931","DOI":"10.1137\/0714063","volume":"14","author":"L. Tavernini","year":"1977","unstructured":"Tavernini, L.: Finite difference approximation for a class of semilinear volterra evolution problems. SIAM J. Numer. Anal.\u00a014(5), 931\u2013949 (1977)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"57_CR5","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1023\/A:1021930104326","volume":"41","author":"B. Zubik-Kowal","year":"2001","unstructured":"Zubik-Kowal, B.: Stability in the Numerical Solution of Linear Parabolic Equations with a Delay Term. Bit Numerical Mathematics\u00a041(1), 191\u2013206 (2001)","journal-title":"Bit Numerical Mathematics"},{"issue":"1","key":"57_CR6","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1515\/jnum.2011.004","volume":"19","author":"Z. Kamont","year":"2011","unstructured":"Kamont, Z., Netka, M.: Numerical method of lines for evolution functional differential equations. J. Numer. Math.\u00a019(1), 63\u201389 (2011)","journal-title":"J. Numer. Math."},{"key":"57_CR7","doi-asserted-by":"publisher","first-page":"441","DOI":"10.1016\/S0168-9274(00)00055-6","volume":"37","author":"L.F. Shampine","year":"2001","unstructured":"Shampine, L.F., Tompson, S.: Solvin DDEs in MATLAB. Appl. Numer. Math.\u00a037, 441\u2013458 (2001)","journal-title":"Appl. Numer. Math."},{"key":"57_CR8","doi-asserted-by":"crossref","unstructured":"Bellen, A., Zennaro, M.: Numerical methods for delay differential equations, numerical mathematics and scientific computation. Oxford University Press, Clarendon Press, New York (2003)","DOI":"10.1093\/acprof:oso\/9780198506546.001.0001"},{"key":"57_CR9","unstructured":"Kim, A.V., Pimenov, V.G.: i-Smooth analysis and numerical methods of solving finctional-differential equations. Regular and Chaotic Dynamics, Moscow (2004)"},{"issue":"2","key":"57_CR10","first-page":"265","volume":"16","author":"Z. Kamont","year":"1996","unstructured":"Kamont, Z., Leszczynski, H.: Stability of difference equations generated by parabolic differential-functional problems. Rend. Mat. Appl.\u00a016(2), 265\u2013287 (1996)","journal-title":"Rend. Mat. Appl."},{"issue":"6","key":"57_CR11","first-page":"257","volume":"1","author":"K. Kropielnicka","year":"2007","unstructured":"Kropielnicka, K.: Convergence of Implicit Difference Methods for Parabolic Functional Differential Equations. Int. Journal of Math. Analysis\u00a01(6), 257\u2013277 (2007)","journal-title":"Int. Journal of Math. Analysis"},{"issue":"1","key":"57_CR12","first-page":"102","volume":"16","author":"A.V. Lekomtsev","year":"2010","unstructured":"Lekomtsev, A.V., Pimenov, V.G.: Convergence of the alternating direction method for the numerical solution of a heat conduction equation with delay. Proceedings of Institute of Mathematics and Mechanics\u00a016(1), 102\u2013118 (2010)","journal-title":"Proceedings of Institute of Mathematics and Mechanics"},{"issue":"1","key":"57_CR13","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1134\/S0081543811090100","volume":"275","author":"V.G. Pimenov","year":"2011","unstructured":"Pimenov, V.G., Lozhnikov, A.B.: Difference schemes for the numerical solution of the heat conduction equation with aftereffect. Proceedings of the Steklov Institute of Mathematics\u00a0275(1), 137\u2013148 (2011)","journal-title":"Proceedings of the Steklov Institute of Mathematics"},{"issue":"2","key":"57_CR14","first-page":"222","volume":"18","author":"V.G. Pimenov","year":"2012","unstructured":"Pimenov, V.G., Tashirova, E.E.: Numerical methods for the equation of hyperbolic type with delay. Trudi Instituta Matematiki i Mehaniki\u00a018(2), 222\u2013231 (2012)","journal-title":"Trudi Instituta Matematiki i Mehaniki"},{"issue":"3","key":"57_CR15","first-page":"315","volume":"38","author":"W. Czernous","year":"2011","unstructured":"Czernous, W., Kamont, Z.: Comparison of explicit and implicit difference methods for quasilinear functional differential equations. Appl. Math.\u00a038(3), 315\u2013340 (2011)","journal-title":"Appl. Math."},{"key":"57_CR16","unstructured":"Solodushkin, S.I.: Access to the Solver of Functional Differential Equations Through the Web Interface. In: Recent Advances in Applied & Biomedical Informatics and Computational Engineering in Systems Applications, pp. 135\u2013137 (2011)"},{"key":"57_CR17","unstructured":"MATLAB Builder NE User\u2019s Guide, \n                    \n                      http:\/\/www.mathworks.com\/help\/pdf_doc\/dotnetbuilder\/dotnetbuilder.pdf"},{"key":"57_CR18","unstructured":"MATLAB Application Deployment Web Example Guide, \n                    \n                      http:\/\/www.mathworks.com\/help\/pdf_doc\/compiler\/example_guide.pdf"},{"key":"57_CR19","unstructured":"Delay Differential Equations in Mathematica, \n                    \n                      http:\/\/www.wolfram.com\/products\/mathematica\/newin7\/content\/DelayDifferentialEquations\/"},{"key":"57_CR20","unstructured":"Delay Differential Equations in MATLAB, \n                    \n                      http:\/\/www.mathworks.com\/help\/matlab\/delay-differential-equations.html"}],"container-title":["Lecture Notes in Computer Science","Numerical Analysis and Its Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-41515-9_57","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T17:49:47Z","timestamp":1558115387000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-41515-9_57"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642415142","9783642415159"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-41515-9_57","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}