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Journal of Applied Mathematics Advanced Mathematics and Numerical Modeling of IoT Guest Editors: Young-Sik Jeong, Mohammad S. Obaidat, Jianhua M a, and Laurence T. Yang Advanced Mathematics and Numerical Modeling of IoT Journal of Applied Mathematics Advanced Mathematics and Numerical Modeling of IoT Guest Editors: Young-Sik Jeong, Mohammad S. Obaidat, Jianhua Ma, and Laurence T. Yang Copyright©2015HindawiPublishingCorporation.Allrightsreserved. Thisisaspecialissuepublishedin“JournalofAppliedMathematics.”AllarticlesareopenaccessarticlesdistributedundertheCreative CommonsAttributionLicense,whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginal workisproperlycited. Editorial Board SaeidAbbasbandy,Iran MengFan,China YongkunLi,China MinaB.Abd-El-Malek,Egypt YaPingFang,China Wan-TongLi,China MohamedA.Abdou,Egypt AntonioJ.M.Ferreira,Portugal J.Liang,China SubhasAbel,India MichelFliess,France Ching-JongLiao,Taiwan MostafaAdimy,France M.A.Fontelos,Spain ChongLin,China CarlosJ.S.Alves,Portugal HuijunGao,China MingzhuLiu,China MohamadAlwash,USA BernardJ.Geurts,TheNetherlands Chein-ShanLiu,Taiwan IgorAndrianov,Germany JamshidGhaboussi,USA KangLiu,USA SabriArik,Turkey PabloGonza´lez-Vera,Spain YanshengLiu,China FrancisT.K.Au,HongKong LaurentGosse,Italy FawangLiu,Australia OlivierBahn,Canada K.S.Govinder,SouthAfrica ShutianLiu,China RobertoBarrio,Spain JoseL.Gracia,Spain ZhijunLiu,China AlfredoBellen,Italy YuantongGu,Australia Julia´nLo´pez-Go´mez,Spain JafarBiazar,Iran ZhihongGUAN,China ShipingLu,China HesterBijl,TheNetherlands NicolaGuglielmi,Italy GertLube,Germany AnjanBiswas,SaudiArabia FredericoG.Guimara˜es,Brazil NazimIdrisogluMahmudov,Turkey StephaneP.A.Bordas,USA VijayGupta,India OluwoleDanielMakinde,SouthAfrica JamesRobertBuchanan,USA BoHan,China FranciscoJ.Marcella´n,Spain AlbertoCabada,Spain MaoanHan,China GuiomarMart´ın-Herra´n,Spain XiaoChuanCai,USA PierreHansen,Canada NicolaMastronardi,Italy JindeCao,China FerencHartung,Hungary MichaelMcAleer,TheNetherlands AlexandreCarvalho,Brazil XiaoqiaoHe,HongKong StephaneMetens,France SongCen,China LuisJavierHerrera,Spain MichaelMeylan,Australia QianshunS.Chang,China J.Hoenderkamp,TheNetherlands AlainMiranville,France Tai-PingChang,Taiwan YingHu,France RamN.Mohapatra,USA Shih-senChang,China NingHu,Japan JaimeE.MunozRivera,Brazil RushanChen,China ZhilongL.Huang,China JavierMurillo,Spain XinfuChen,USA KazufumiIto,USA RobertoNatalini,Italy KeChen,UK TakeshiIwamoto,Japan SrinivasanNatesan,India EricCheng,HongKong GeorgeJaiani,Georgia JiriNedoma,CzechRepublic FranciscoChiclana,UK ZhongxiaoJia,China JianleiNiu,HongKong Jen-TzungChien,Taiwan TarunKant,India RogerOhayon,France C.S.Chien,Taiwan IdoKanter,Israel JavierOliver,Spain HanH.Choi,RepublicofKorea AbdulHamidKara,SouthAfrica DonalO’Regan,Ireland Tin-TaiChow,China HamidRezaKarimi,Norway MartinOstoja-Starzewski,USA M.S.H.Chowdhury,Malaysia Jae-WookKim,UK TurgutO¨zi¸s,Turkey CarlosConca,Chile JongHaeKim,RepublicofKorea ClaudioPadra,Argentina VitorCosta,Portugal KazutakeKomori,Japan ReinaldoMartinezPalhares,Brazil LivijaCveticanin,Serbia FanrongKong,USA FrancescoPellicano,Italy EricdeSturler,USA Vadim.Krysko,Russia JuanManuelPen˜a,Spain OrazioDescalzi,Chile JinL.Kuang,Singapore RicardoPerera,Spain KaiDiethelm,Germany MiroslawLachowicz,Poland MalgorzataPeszynska,USA VitDolejsi,CzechRepublic Hak-KeungLam,UK JamesF.Peters,Canada Bo-QingDong,China Tak-WahLam,HongKong MarkA.Petersen,SouthAfrica MagdyA.Ezzat,Egypt PGLLeach,Cyprus MiodragPetkovic,Serbia VuNgocPhat,Vietnam Abdel-MaksoudA.Soliman,Egypt Qing-WenWang,China AndrewPickering,Spain XinyuSong,China GuangchenWang,China HectorPomares,Spain QiankunSong,China JunjieWei,China MaurizioPorfiri,USA YuriN.Sotskov,Belarus LiWeili,China MarioPrimicerio,Italy PeterJ.C.Spreij,TheNetherlands MartinWeiser,Germany MortezaRafei,TheNetherlands NiclasStro¨mberg,Sweden FrankWerner,Germany RobertoReno`,Italy RayKLSu,HongKong ShanheWu,China JacekRokicki,Poland JitaoSun,China DongmeiXiao,China DirkRoose,Belgium WenyuSun,China GongnanXie,China CarlaRoque,Portugal XianHuaTang,China YueshengXu,USA DebasishRoy,India AlexanderTimokha,Norway Suh-YuhYang,Taiwan SamirH.Saker,Egypt MarianoTorrisi,Italy BoYu,China MarceloA.Savi,Brazil Jung-FaTsai,Taiwan JinyunYuan,Brazil WolfgangSchmidt,Germany ChTsitouras,Greece AlejandroZarzo,Spain EckartSchnack,Germany KuppalapalleVajravelu,USA GuishengZhai,Japan MehmetSezer,Turkey AlvaroValencia,Chile JianmingZhan,China NaseerShahzad,SaudiArabia ErikVanVleck,USA ZhihuaZhang,China FatemehShakeri,Iran EzioVenturino,Italy JingxinZhang,Australia JianHuaShen,China JesusVigo-Aguiar,Spain ShanZhao,USA Hui-ShenShen,China MichaelN.Vrahatis,Greece ChongbinZhao,Australia FernandoSimo˜es,Portugal BaolinWang,China RenatZhdanov,USA TheodoreE.Simos,Greece MingxinWang,China HongpingZhu,China Contents AdvancedMathematicsandNumericalModelingofIoT,Young-SikJeong,MohammadS.Obaidat, JianhuaMa,andLaurenceT.Yang Volume2015,ArticleID824891,5pages InvestigationMethodologyofaVirtualDesktopInfrastructureforIoT,DoowonJeong,JungheumPark, SangjinLee,andChulhoonKang Volume2015,ArticleID689870,10pages Fall-DetectionAlgorithmUsing3-AxisAcceleration:CombinationwithSimpleThresholdandHidden MarkovModel,DonghaLim,ChulhoPark,NamHoKim,Sang-HoonKim,andYunSeopYu Volume2014,ArticleID896030,8pages LinearSVM-BasedAndroidMalwareDetectionforReliableIoTServices,Hyo-SikHam,Hwan-HeeKim, Myung-SupKim,andMi-JungChoi Volume2014,ArticleID594501,10pages SCondi:ASmartContextDistributionFrameworkBasedonaMessagingServicefortheInternetof Things,JongmoonParkandMyung-JoonLee Volume2014,ArticleID271817,8pages 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AnEfficientandSecurem-IPSSchemeofMobileDevicesforHuman-CentricComputing, Young-SikJeong,JaeDongLee,Jeong-BaeLee,Jai-JinJung,andJongHyukPark Volume2014,ArticleID198580,8pages ExponentialStabilityforImpulsiveStochasticNonlinearNetworkSystemswithTimeDelay, LanpingChen,ZhengzhiHan,andZhenghuaMa Volume2014,ArticleID787568,5pages UbiquitousHealthManagementSystemwithWatch-TypeMonitoringDeviceforDementiaPatients, DongminShin,DongilShin,andDongkyooShin Volume2014,ArticleID878741,8pages Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2015, Article ID 824891, 5 pages http://dx.doi.org/10.1155/2015/824891 Editorial Advanced Mathematics and Numerical Modeling of IoT Young-SikJeong,1MohammadS.Obaidat,2JianhuaMa,3andLaurenceT.Yang4 1DepartmentofMultimediaEngineering,DonggukUniversity,Seoul100-715,RepublicofKorea 2DepartmentofComputerScienceandSoftwareEngineering,MonmouthUniversity,WestLongBranch,NJ07764-1898,USA 3FacultyofComputerandInformationSciences,HoseiUniversity,Tokyo102-8160,Japan 4DepartmentofComputerScience,St.FrancisXavierUniversity,P.O.Box5000,Antigonish,NS,Canada CorrespondenceshouldbeaddressedtoYoung-SikJeong;[email protected] Received13October2014;Accepted13October2014 Copyright©2015Young-SikJeongetal. This is an open access article distributed under the Creative Commons Attribution License,whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginalworkisproperly cited. RecentadvancesintheInternetofThings(IoT)haveposed mathematicsandnumericalmodelingofInternetofThings greatchallengestocomputerscienceandengineering.Inter- to be identified. These will impact academia, business, and net of Things systems manage huge numbers of heteroge- education[1,3,5]. neous sensors and/or mobile devices which continuously This special issue aims to provide advanced theory and mobileofthestatesofreal-worldobjects,andmostdataare application for researchers and practitioners to contribute generatedautomaticallythroughmobilenetworkingenviron- original research and review articles that present the state- ments. Internet of Things frameworks might help support of-the-artresearchoutcomes,practicalresults,latestfindings, theinteractionbetween“things”andallowformorecomplex andfutureevolutionsofmathematicsinIoTapplications. structures like Distributed/Grid/Cloud computing and the We have received many manuscripts and the published development of Distributed/Grid/Cloud applications. Cur- manuscripts with high quality were finally selected for this rently, some Internet of Things frameworks seem to focus specialissue.Eachmanuscriptselectedwasblindlyreviewed onreal-timedataloggingsolutions,whichareofferingsome by at least three reviewers consisting of guest editors and basistoworkwithmany“things.”Futuredevelopmentsmight external reviewers. We present a brief overview of each leadtospecificsoftwaredevelopmentenvironmentstocreate manuscriptinthefollowing. thesoftwaretoworkwiththehardwareusedintheInternet Recentadvancesinmathematicsandnumericalmodeling ofThings[1–3].IoTisalsoanovelparadigmthatisrapidly of Internet of Things have created new topics of interest gaining in the scenario of wireless sensor networks and including the following: (1) mathematical and numerical wirelesstelecommunications.Thebasicideaofthisconcept modelingofsmartcityincludingsmartphonereal-worldand isthepervasivepresencearoundourlifestyleofavarietyof mobile networks, (2) optimization methods, mathematics thingsorobjects[2,4,5]. modelingforsmartGridwithCloudcomputing,(3)numeri- The advanced mathematics and numerical modeling of calanalysisforsecurityandemergenciesinIoT,(4)methods IoTisbeingdrivenbyandusedinawiderangeofacademic, for improving efficiency or accuracy of M2M applications research, and commercial application areas. This use is producing important new practical experience in a variety and vehicle autodiagnosis, (5) adaptive and dynamic algo- of different problem domains in each of these areas. There rithms for home automation and e-health applications, (6) arealsonewcomputationalmethodsintheseresearchfields. computational models of communication mechanisms for As an enabler, this technology is leading to a rapid growth mobilenetworksinIoT,and(7)advancedmodelingforIoT in both scientific and information applications that will, applications as mobile/vehicle ad hoc networks and mobile in turn, enable additional requirements for the advanced sensornetworksinCPS(cyberphysicalsystem).

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