Analysis, Modelling, Optimization, and Numerical Techniques: ICAMI, San Andres Island, Colombia, November 2013

373 Pages·2015·14.952 MB·English

by  Gerard Olivar Tost, Olga Vasilieva

Springer Proceedings in Mathematics &
Statistics
Volume 121
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and conferences in all areas of current research in mathematics and statistics, in-
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Gerard Olivar Tost • Olga Vasilieva
Editors
Analysis, Modelling,
Optimization, and Numerical
Techniques
ICAMI, San Andres Island, Colombia,
November 2013
Editors
GerardOlivarTost OlgaVasilieva
UniversidadNacionaldeColombia DepartmentofMathematics
DepartmentofElectric,Electronic UniversidaddelValle
andComputerScience Cali
Manizales Colombia
Colombia
ISSN2194-1009 ISSN2194-1017(electronic)
SpringerProceedingsinMathematics&Statistics
ISBN978-3-319-12582-4 ISBN978-3-319-12583-1(eBook)
DOI10.1007/978-3-319-12583-1
LibraryofCongressControlNumber:2015933271
SpringerChamHeidelbergNewYorkDordrechtLondon
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Contents
AugmentedLagrangianMethodforOptimalControlProblems......... 1
AnatolyAntipinandOlgaVasilieva
Minimizing Sign Changes Rowwise: Consecutive Ones Property
andBeyond....................................................... 37
DominiqueFortinandIderTseveendorj
Variational and Hemivariational Inequalities in Mechanics
ofElastoplastic,GranularMedia,andQuasibrittleCracks............. 49
BorisD.Annin,VictorA.KovtunenkoandVladimirM.Sadovskii
EffectsofaDiscreteTimeDelayonanHIVPandemic ................. 57
IbrahimDiakiteandBenitoM.Chen-Charpentier
OntheRiemannProblemforaHyperbolicSystemofTempleClass ..... 75
RichardA.DelacruzGuerreroandJuanC.Juajibioy
ConsequencesofWeakAlleeEffectinaLeslie–Gower-TypePredator–Prey
ModelwithaGeneralizedHollingTypeIIIFunctionalResponse........ 89
PauloC.Tintinago-Ruíz,LeonardoD.Restrepo-Alape
andEduardoGonzález-Olivares
Critical Points of Solutions to Elliptic Equations in Planar Domains
withCorners ..................................................... 105
JaimeArangoandJairoDelgado
Sub-RiemannianGeodesicsintheOctonionicH-typeGroup ........... 113
ChristianAutenriedandMauricioGodoyMolina
Regularization of Inverse Ill-Posed Problems with L2-BV Penalizers
andApplicationstoSignalRestoration............................... 127
GiselaL.Mazzieri,RubenD.SpiesandKarinaG.Temperini
v
vi Contents
StabilityAnalysisofaFiniteDifferenceSchemeforaNonlinearTime
FractionalConvectionDiffusionEquation............................ 139
CarlosD.Acosta,PedroA.AmadorandCarlosE.Mejía
Dealing with Uncertainties in Computing: From Probabilistic
and Interval Uncertainty to Combination of Different Types
ofUncertainty .................................................... 151
VladikKreinovich
A UnifiedApproach to Piecewise Linear Hopf and Hopf-Pitchfork
Bifurcations ...................................................... 173
EnriquePonce,JavierRosandElísabetVela
OptimalDecisionMakingforBreastCancerTreatmentinthePresence
ofCancerRegressionandTypeIIErrorinMammographyResults ..... 185
SergioA.Vargas,ShengfanZhangandRahaAkhavan-Tabatabaei
OntheIterativeSteeringofaRollingRobotActuatedbyInternalRotors 205
AkihiroMorinaga,MikhailSvininandMotojiYamamoto
OdontologicalInformationAlongConeSplines ....................... 219
CindyGonzálezandMarcoPaluszny
ModelingCellDecisionsinBoneFormation .......................... 235
RodrigoAssar,AlejandroMaass,JoaquínFernández,ErnestoKofman
andMartínA.Montecino
BiodiversityanditsRoleonDiseasesTransmissionCycles.............. 247
JuanManuelCordovezandCamiloSanabria
SimulationModelforAIDSDynamicsandOptimalControlThrough
AntiviralTreatment ............................................... 257
CarlosAndrésTrujillo-SalazarandHernánDaríoToro-Zapata
OrbitalRelativeMovementAppliedtheFormationFlightofArtificial
SatellitesAroundtheEarth......................................... 271
JorgeSolizandDanielMolano
SomeMathematicalAspectsintheExpandingUniverse................ 283
DanielMolanoandLeonardoCastañeda
Liouvillian Propagators and Degenerate ParametricAmplification
withTime-DependentPumpAmplitudeandPhase .................... 295
PrimitivoB.Acosta-HumánezandErwinSuazo
Contents vii
Construction of ShearWave Models byApplying Multi-Objective
OptimizationtoMultipleGeophysicalDataSets ...................... 309
LennoxThompson,AaronA.VelascoandVladikKreinovich
Multiobjective Semi-infinite Optimization: Convexification
andProperlyEfficientPoints ....................................... 327
FranciscoGuerra-VásquezandJan-JoachimRückmann
Qualitative Analysis of Climate Seasonality Effects in a Model
ofNationalElectricityMarket ...................................... 349
JohnnyValencia,GerardOlivar,CarlosJaimeFrancoandIsaacDyner
NumericalSimulationAnalysisofaTrafficModel..................... 363
MónicaJhoanaMesaMazo,JohnnyValenciaandGerardOlivarTost
Contributors
Carlos D. Acosta Departamento de Matemáticas y Estadística, sede Manizales,
UniversidadNacionaldeColombia,Manizales,Colombia
Primitivo B. Acosta-Humánez Department of Mathematics, Universidad del
AtlánticoandIntelectual.Co,Barranquilla,Colombia
RahaAkhavan-Tabatabaei UniversidaddelosAndes,Bogotá,Colombia
PedroA.Amador Departamento de Matemáticas y Estadística, sede Manizales,
UniversidadNacionaldeColombia,Manizales,Colombia
Boris D. Annin Lavrentyev Institute of Hydrodynamics, Siberian Branch of the
RussianAcademyofSciences,NovosibirskStateUniversity,Novosibirsk,Russia
Anatoly Antipin Computing Center, Russian Academy of Sciences, Moscow,
Russia
JaimeArango DepartamentodeMatemáticas,UniversidaddelValle,Cali,Colom-
bia
RodrigoAssar ICBMEscueladeMedicina,UniversidaddeChile,Santiago,Chile
ChristianAutenried Department of Mathematics, University of Bergen, Bergen,
Norway
Leonardo Castañeda Universidad Nacional de Colombia, Observatorio As-
tronómicoNacional,Colombia
Benito M. Chen-Charpentier University of Texas at Arlington, Arlington, TX,
USA
Juan Manuel Cordovez Departamento de Ingeniería Biomédica, Universidad de
losAndes,BogotáD.C.,Colombia
RichardA.DelacruzGuerrero SchoolofMathematicsandStatistics,Universidad
PedagógicayTecnológicadeColombia-UPTC,Tunja,Colombia
ix
x Contributors
Jairo Delgado Posgrado en Ciencias Matemáticas, Universidad del Valle, Cali,
Colombia
IbrahimDiakite UniversityofTexasatArlington,Arlington,TX,USA
IsaacDyner UniversidadNacionaldeColombia,Bogotá,Colombia
UniversidadJorgeTadeoLozano,Bogotá,Colombia
Joaquín Fernández Departamento de Control, FCEIA, Universidad Nacional de
Rosario,Rosario,Argentina
DominiqueFortin INRIA,DomainedeVoluceau,LeChesnayCedex,France
CarlosJaimeFranco DepartmentofComputerScienceandDecision, Schoolof
Mines,UniversidadNacionaldeColombia,Medellín,Colombia
Mauricio Godoy Molina Department of Mathematics, University of Bergen,
Bergen,Norway
Departamento de Matemática y Estadística, Universidad de la Frontera, Temuco,
Casilla,Chile
Cindy González Université de Valenciennes et du Hainaut-Cambrésis, Valenci-
ennescedex9,France
EduardoGonzález-Olivares GrupodeEcologíaMatemática,PontificiaUniversi-
dadCatólicadeValparaiso,Valparaiso,Chile
Francisco Guerra-Vásquez Escuela de Ciencias, Universidad de las Américas,
Puebla,Puebla,México
JuanC.Juajibioy DepartmentofMathematics,UniversidadNacionaldeColombia
-UN,Bogotá,Colombia
Ernesto Kofman Departamento de Control, FCEIA, Universidad Nacional de
Rosario,Rosario,Argentina
VictorA. Kovtunenko Lavrentyev Institute of Hydrodynamics, Siberian Branch
oftheRussianAcademyofSciences,Novosibirsk,Russia
Institute for Mathematics and Scientific Computing, Karl-Franzens University of
Graz,Graz,Austria
VladikKreinovich UniversityofTexasatElPaso,ElPaso,TX,USA
DepartmentofGeologicalSciences,UniversityofTexasatElPaso(UTEP),ElPaso,
TX,USA
AlejandroMaass DepartamentodeIngenieríaMatemática,UniversidaddeChile,
Santiago,Chile