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DURAN MARTIN, ANGEL

PROFESORES TITULARES DE UNIVERSIDAD
Matemática Aplicada
MODELIZACIÓN, TEORÍA Y ANÁLISIS NUMÉRICO EN PROBLEMAS DE OPTIMIZACIÓN Y ECUACIONES DE EVOLUCIÓN.
 
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I: Derivation and mathematical properties1021, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=50265]], camposKey:0167-2789 2019-01-01 On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization116, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=50270]], camposKey:0020-7160 2018-01-01 An efficient method to compute solitary wave solutions of fractional Korteweg-de Vries equations13621374, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=50272]], camposKey:2444-8656 2018-01-01 On a model for internal waves in rotating fluids627648, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8554]], camposKey:0924-9907 2017-01-01 Cross-Diffusion Systems for Image Processing: I. The Linear Case447467, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8547]], camposKey:0924-9907 2017-01-01 Cross-Diffusion Systems for Image Processing: II. The Nonlinear Case427446, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7966]], camposKey:0377-0427 2017-01-01 Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems2939, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8549]], camposKey:0165-2125 2016-09-01 Efficient computation of capillary-gravity generalised solitary waves116, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8556]], camposKey:0378-4754 2016-09-01 Numerical approximation of solitary waves of the Benjamin equation5679, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7958]], camposKey:0378-4754 2016-01-01 Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods1936, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8544]], camposKey:0022-1120 2015-12-01 A plethora of generalised solitary gravity-capillary water waves664680, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8550]], camposKey:0165-2125 2015-01-01 Numerical solution of the Benjamin equation194215, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=53402]], camposKey:2212-9391 2015-01-01 On evolutionary integral models for image restoration241260, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7963]], camposKey:0377-0427 2015-01-01 Petviashvili type methods for traveling wave computations: I. Analysis of convergence (vol 266, pg 39, 2014) [Erratum]215216, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7960]], camposKey:1007-5704 2014-07-01 An extended Petviashvili method for the numerical generation of traveling and localized waves22722283, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7961]], camposKey:0377-0427 2014-01-01 Petviashvili type methods for traveling wave computations: I. Analysis of convergence3951, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8555]], camposKey:0022-2526 2013-11-01 On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations359388, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7964]], camposKey:1007-5704 2012-02-01 On the preservation of invariants in the simulation of solitary waves in some nonlinear dispersive equations637649, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=3010]], camposKey:2040-8978 2012-01-01 Nonlinear Bloch modes, optical switching and Bragg solitons in tightly coupled micro-ring resonator chains00, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7957]], camposKey:0377-0427 2012-01-01 On the influence of numerical preservation of invariants when simulating Hamiltonian relative periodic orbits29542961, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7965]], camposKey:0377-0427 2011-01-01 A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models17901797, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8558]], camposKey:0021-9991 2010-10-20 Simulation of coherent structures in nonlinear Schrodinger-type equations81808198, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7959]], camposKey:0096-3003 2010-10-15 Error propagation when approximating multi-solitons: The KdV equation as a case study15221539, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7962]], camposKey:0377-0427 2010-01-01 Error propagation in numerical approximations near relative equilibria33733386, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8545]], camposKey:0021-9991 2008-01-10 Time behaviour of the error when simulating finite-band periodic waves. The case of the KdV equation21302153, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7409]], camposKey:0938-8974 2007-01-01 A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems569607, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=6748]], camposKey:1631-0691 2005-04-01 Numerical study of size-structured population models: A case of Gambussia affinis387402, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8557]], camposKey:0006-3835 2004-05-01 A technique to improve the error propagation when integrating relative equilibria215235, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7406]], camposKey:0305-4470 2003-07-18 Conservative numerical methods for solitary wave interactions77617770, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8548]], camposKey:0025-5718 2003-01-01 A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems18031816, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8553]], camposKey:0025-5718 2003-01-01 Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones17691801, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=7405]], camposKey:0168-9274 2002-01-01 Numerical behaviour of stable and unstable solitary waves95116, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8552]], camposKey:0168-9274 2001-02-01 Error propagation in the numerical integration of solitary waves. The regularized long wave equation197217, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8551]], camposKey:0272-4979 2000-04-01 The numerical integration of relative equilibrium solutions. The nonlinear Schrodinger equation235261, com.sigma.fs3.argos.domain.gpc.GpcArticlesRev[id=com.sigma.fs3.argos.domain.gpc.GpcArticlesRevPK[ifcactivitat=ARE, ifccomptador=8546]], camposKey:0951-7715 1998-11-01 The numerical integration of relative equilibrium solutions. Geometric theory15471567][CapitolsLlib{id=com.sigma.fs3.argos.domain.gpc.GpcCapitolsLlibPK[ifcactivitat=CAP, ifccomptador=17740]},camposKey: 339 368 On the Numerical Approximation to Generalized Ostrovsky Equations: I: A Numerical Method and Computation of Solitary-Wave Solutions Nonlinear Systems, I: Mathematical Theory and Computational Methods 1 2018-01-01 Springer, CapitolsLlib{id=com.sigma.fs3.argos.domain.gpc.GpcCapitolsLlibPK[ifcactivitat=CAP, ifccomptador=17741]},camposKey: 369 403 On the Numerical Approximation to Generalized Ostrovsky Equations: II: Dynamics of Solitary-Wave Solutions Nonlinear Systems, I: Mathematical Theory and Computational Methods 1 2018-01-01 Springer, CapitolsLlib{id=com.sigma.fs3.argos.domain.gpc.GpcCapitolsLlibPK[ifcactivitat=CAP, ifccomptador=17739]},camposKey: 3 43 Peregrine's system revisited Nonlinear Waves and Pattern Dynamics 1 2018-01-01 Springer, CapitolsLlib{id=com.sigma.fs3.argos.domain.gpc.GpcCapitolsLlibPK[ifcactivitat=CAP, ifccomptador=19274]},camposKey: 40 41 Computation of capillary-gravity generalized solitary waves No Lineal 2016, International Conference on Nonlinear Mathematics and Physics 1 2016-01-01 Universidad de Sevilla, CapitolsLlib{id=com.sigma.fs3.argos.domain.gpc.GpcCapitolsLlibPK[ifcactivitat=CAP, ifccomptador=17742]},camposKey: 241 260 On Evolutionary Integral Models for Image Restoration Developments in Medical Image Processing and Computational Vision 1 2015-01-01 Springer, CapitolsLlib{id=com.sigma.fs3.argos.domain.gpc.GpcCapitolsLlibPK[ifcactivitat=CAP, ifccomptador=14825]},camposKey: 259 268 Long time numerical approximation of coherent-structure solutions of the cubic schrödinger equation Mathematical Methods in Engineering 1 2014-01-01 Springer, CapitolsLlib{id=com.sigma.fs3.argos.domain.gpc.GpcCapitolsLlibPK[ifcactivitat=CAP, ifccomptador=17743]},camposKey: 55 58 Fully discrete, nonlocal models for image processing: Properties and applications Computational Vision and Medical Image Processing IV. 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Artículos de revista (38)

Cano B.; Duran A. On nonparaxial nonlinear Schrödinger-type equations . Journal of computational and applied mathematics 2020; 373(0): 112163.
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Capítulos de libros (9)

Durán Martín, A. On the Numerical Approximation to Generalized Ostrovsky Equations: I: A Numerical Method and Computation of Solitary-Wave Solutions. En: Carmona, V; Cuevas Maraver, J; Fernández Sánchez, F; García Medina, E. Nonlinear Systems, I: Mathematical Theory and Computational Methods. Springer; 2018. p. 339-368.
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Proyectos (11)

ANALISIS NUMERICO DE PROBLEMAS DE EVOLUCION NO LINEALES CON APLICACIONES A LA MODELIZACION EN BIOMATEMATICA Y FINANZAS CUANTITATIVAS.. ANGULO TORGA, OSCAR (IP); ALONSO MALLO, ISAIAS; LOPEZ MARCOS, JUAN CARLOS; MARTINEZ RODRIGUEZ, JULIA; GOMEZ DEL VALLE, MARIA LOURDES; LOPEZ MARCOS, MIGUEL ANGEL; DURAN MARTIN, ANGEL. VA193P20. FONDOS FEDER, UNIVERSIDAD DE VALLADOLID (UVa), JUNTA DE CASTILLA Y LEÓN -CONSEJERÍA DE EDUCACIÓN 2020-2023
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Congresos (1)

Computational Vision and Medical Image Processing IV - Proceedings of Eccomas Thematic Conference on Computational Vision and Medical Image Processing, VIPIMAGE 2013, Funchal 14/10/2013 - 16/10/2014
(Ponencia). Cuesta E.; Duran A. Computational Vision and Medical Image Processing IV - Proceedings of Eccomas Thematic Conference on Computational Vision and Medical Image Processing, VIPIMAGE 2013
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Estancias de investigación (1)

ACCIÓN INTEGRADA CON GRECIA. COMPUTER METHODS FOR THE NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS IN SCIENCE AND TECHNOLOGY.. 01/01/2005 - 31/12/2006
     INSTITUTE OF APPLIED AND COMPUTACIONAL MATHEMATICS. HERAKLION ( GRECIA )
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