Instituto de Investigación
en Matemáticas

Análisis Numérico de Problemas de Evolución. Aplicaciones en Biomatemática

(ANPEAB)


Objetivos: El Grupo Reconocido de Investigación tiene como fin la articulación de la actividad investigadora, principalmente en equipo, y la gestión de los recursos que la sustentan, referida a las siguientes líneas de investigación: a) Análisis Numérico de problemas de evolución no lineales. b) Computación científica en Biomatemática. Son objetivos del Grupo: a) El desarrollo de actividades de investigación propias, en relación con las líneas de investigación que definen la actividad del Grupo, contribuyendo a la generación y transmisión del conocimiento. b) La difusión de los resultados de investigación. c) Favorecer las iniciativas dentro del Grupo para la captación de fondos, externos y de la Universidad de Valladolid, de financiación de la actividad investigadora del Grupo. d) Participar en la formación de investigadores, contribuyendo a su especialización científica en las técnicas y metodologías propias de las líneas de investigación del Grupo. e) El establecimiento de vínculos estables con otros grupos de investigación, nacionales e internacionales, para favorecer el intercambio científico y la calidad de la investigación en relación con las líneas de investigación del Grupo.
Líneas de investigación: Computación Científica en Biomatemática. Análisis numérico de problemas de evolución.
Publicaciones:
Innterpolation of the coefficients in nonlinear elliptic Galerkin procedures SIAM J. Numer. Anal. 21 77--83 (1984) Sanz-Serna, J. M. and Abia, L.
Stability of schemes for the numerical treatment of an equation modelling fluidized beds RAIRO Modél. Math. Anal. Numér. 23 191--204 (1989) Abia, L. and Christie, I. and Sanz-Serna, J. M.
Partitioned Runge-Kutta methods for separable Hamiltonian problems Math. Comp. 60 617--634 (1993) Abia, L. and Sanz-Serna, J. M.
Order conditions for canonical Runge-Kutta schemes SIAM J. Numer. Anal. 28 1081--1096 (1991) Sanz-Serna, J. M. and Abia, L.
The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation Computing 44 187--196 (1990) Abia, L. and Sanz-Serna, J. M.
On the numerical integration of non-local terms for age-structured population models Math. Biosci. 157 147--167 (1999) Abia, L. M. and López-Marcos, J. C.
On the blow-up time convergence of semidiscretizations of reaction-diffusion equations Appl. Numer. Math. 26 399--414 (1998) Abia, Luis M. and López-Marcos, J. C. and Martínez, Julia
Blow-up for semidiscretizations of reaction-diffusion equations Appl. Numer. Math. 20 145--156 (1996) Abia, Luis M. and López-Marcos, J. C. and Martínez, Julia
Runge-Kutta methods for age-structured population models Appl. Numer. Math. 17 1--17 (1995) Abia, L. M. and López Marcos, J. C.
Size-structured population dynamics models and their numerical solutions Discrete Contin. Dyn. Syst. Ser. B 4 1203--1222 (2004) Abia, L. M. and Angulo, O. and López-Marcos, J. C.
The Euler method in the numerical integration of reaction-diffusion problems with blow-up Appl. Numer. Math. 38 287--313 (2001) Abia, L. M. and López-Marcos, J. C. and Martínez, J.
Numerical schemes for a size-structured cell population model with equal fission Math. Comput. Modelling 50 653--664 (2009) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical integration of a hierarchically size-structured population model with contest competition J. Comput. Appl. Math. 258 116--134 (2014) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical study on the proliferation cells fraction of a tumour cord model Math. Comput. Modelling 52 992--998 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Long-time simulation of a size-structured population model with a dynamical resource Math. Model. Nat. Phenom. 5 1--21 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical schemes for size-structured population equations Math. Biosci. 157 169--188 (1999) Angulo, Oscar and López-Marcos, J. C.
Size-structured population dynamics models and their numerical solutions Discrete Contin. Dyn. Syst. Ser. B 4 1203--1222 (2004) Abia, L. M. and Angulo, O. and López-Marcos, J. C.
Numerical integration of fully nonlinear size-structured population models Appl. Numer. Math. 50 291--327 (2004) Angulo, O. and López-Marcos, J. C.
Numerical integration of autonomous and non-autonomous non-linear size-structured population models Math. Biosci. 177 39--71 (2002) Angulo, O. and López-Marcos, J. C.
Numerical schemes for a size-structured cell population model with equal fission Math. Comput. Modelling 50 653--664 (2009) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical integration of a mathematical model of hematopoietic stem cell dynamics Comput. Math. Appl. 56 594--606 (2008) Adimy, Mostafa and Angulo, Oscar and Crauste, Fabien and López-Marcos, Juan C.
The application of an age-structured model with unbounded mortality to demography Math. Biosci. 208 495--520 (2007) Angulo, Oscar and López-Marcos, Juan Carlos and Milner, Fabio Augusto
An analytical model of stand dynamics as a function of tree growth, mortality and recruitment: the shade tolerance-stand structure hypothesis revisited J. Theoret. Biol. 244 440--450 (2007) Zavala, Miguel A. and Angulo, Óscar and Bravo de la Parra, Rafael and López-Marcos, Juan C.
Dynamics of a structured slug population model in the absence of seasonal variation Math. Models Methods Appl. Sci. 16 1961--1985 (2006) Bees, M. A. and Angulo, O. and López-Marcos, J. C. and Schley, D.
A numerical integrator for a model with a discontinuous sink term: the dynamics of the sexual phase of monogonont rotifera Nonlinear Anal. Real World Appl. 6 935--954 (2005) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Analysis of an efficient integrator for a size-structured population model with a dynamical resource Comput. Math. Appl. 68 941--961 (2014) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A mathematical model of multistage hematopoietic cell lineages Discrete Contin. Dyn. Syst. Ser. B 19 1--26 (2014) Adimy, Mostafa and Angulo, Oscar and Marquet, Catherine and Sebaa, Leila
Numerical analysis of a size-structured population model with a dynamical resource BIOMATH 3 1403241, 11 (2014) Angulo, Oscar and López-Marcos, J. C. and López-Marcos, M. A.
Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics Int. J. Comput. Math. 91 198--208 (2014) Adimy, M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical integration of a hierarchically size-structured population model with contest competition J. Comput. Appl. Math. 258 116--134 (2014) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A {SIR} epidemic model structured by immunological variables J. Biol. Systems 21 1340013, 21 (2013) Angulo, Oscar and Milner, Fabio and Sega, Laurentiu
Stand dynamics and tree coexistence in an analytical structured model: the role of recruitment J. Theoret. Biol. 333 91--101 (2013) Angulo, Óscar and Bravo de la Parra, Rafael and López-Marcos, Juan C. and Zavala, Miguel A.
A semi-Lagrangian method for a cell population model in a dynamical environment Math. Comput. Modelling 57 1860--1866 (2013) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of a population model of marine invertebrates with different life stages Commun. Nonlinear Sci. Numer. Simul. 18 2153--2163 (2013) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Mass structured systems with boundary delay: oscillations and the effect of selective predation J. Nonlinear Sci. 22 961--984 (2012) Angulo, O. and López-Marcos, J. C. and Bees, M. A.
Numerical approximation of singular asymptotic states for a size-structured population model with a dynamical resource Math. Comput. Modelling 54 1693--1698 (2011) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of an open marine population model with spaced-limited recruitment Math. Comput. Modelling 52 1037--1044 (2010) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Numerical study on the proliferation cells fraction of a tumour cord model Math. Comput. Modelling 52 992--998 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Long-time simulation of a size-structured population model with a dynamical resource Math. Model. Nat. Phenom. 5 1--21 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A numerical method for nonlinear age-structured population models with finite maximum age J. Math. Anal. Appl. 361 150--160 (2010) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Milner, F. A.
Study on the efficiency in the numerical integration of size-structured population models: error and computational cost J. Comput. Appl. Math. 291 391--401 (2016) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A second-order method for the numerical integration of a size-structured cell population model Abstr. Appl. Anal. 0 Art. ID 549168, 8 (2015) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical investigation of the recruitment process in open marine population models JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 0 P01003 (2011) Angulo, O; Lopez-Marcos, JC; Lopez-Marcos, MA; Martinez-Rodriguez, J
Stability and convergence in numerical analysis. {III}. Linear investigation of nonlinear stability IMA J. Numer. Anal. 8 71--84 (1988) López Marcos, J. C. and Sanz-Serna, J. M.
Crank-Nicolson method for the numerical solution of models of excitability Numer. Methods Partial Differential Equations 10 323--344 (1994) López Marcos, J. C.
An explicit extrapolated box scheme for the Gurtin-MacCamy equation Comput. Math. Appl. 27 41--53 (1994) Fairweather, G. and López Marcos, J. C.
An upwind scheme for a nonlinear hyperbolic integro-differential equation with integral boundary condition Comput. Math. Appl. 22 15--28 (1991) López Marcos, J. C.
A box method for a nonlinear equation of population dynamics IMA J. Numer. Anal. 11 525--538 (1991) Fairweather, G. and López Marcos, J. C.
A difference scheme for a nonlinear partial integrodifferential equation SIAM J. Numer. Anal. 27 20--31 (1990) López Marcos, J. C.
Numerical schemes for size-structured population equations Math. Biosci. 157 169--188 (1999) Angulo, Oscar and López-Marcos, J. C.
On the numerical integration of non-local terms for age-structured population models Math. Biosci. 157 147--167 (1999) Abia, L. M. and López-Marcos, J. C.
On the blow-up time convergence of semidiscretizations of reaction-diffusion equations Appl. Numer. Math. 26 399--414 (1998) Abia, Luis M. and López-Marcos, J. C. and Martínez, Julia
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions Adv. Comput. Math. 6 243--262 (1997) (1996) Fairweather, G. and López-Marcos, J. C.
Blow-up for semidiscretizations of reaction-diffusion equations Appl. Numer. Math. 20 145--156 (1996) Abia, Luis M. and López-Marcos, J. C. and Martínez, Julia
Runge-Kutta methods for age-structured population models Appl. Numer. Math. 17 1--17 (1995) Abia, L. M. and López Marcos, J. C.
Size-structured population dynamics models and their numerical solutions Discrete Contin. Dyn. Syst. Ser. B 4 1203--1222 (2004) Abia, L. M. and Angulo, O. and López-Marcos, J. C.
Numerical integration of fully nonlinear size-structured population models Appl. Numer. Math. 50 291--327 (2004) Angulo, O. and López-Marcos, J. C.
Numerical integration of autonomous and non-autonomous non-linear size-structured population models Math. Biosci. 177 39--71 (2002) Angulo, O. and López-Marcos, J. C.
The Euler method in the numerical integration of reaction-diffusion problems with blow-up Appl. Numer. Math. 38 287--313 (2001) Abia, L. M. and López-Marcos, J. C. and Martínez, J.
Numerical schemes for a size-structured cell population model with equal fission Math. Comput. Modelling 50 653--664 (2009) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical integration of a mathematical model of hematopoietic stem cell dynamics Comput. Math. Appl. 56 594--606 (2008) Adimy, Mostafa and Angulo, Oscar and Crauste, Fabien and López-Marcos, Juan C.
The application of an age-structured model with unbounded mortality to demography Math. Biosci. 208 495--520 (2007) Angulo, Oscar and López-Marcos, Juan Carlos and Milner, Fabio Augusto
An analytical model of stand dynamics as a function of tree growth, mortality and recruitment: the shade tolerance-stand structure hypothesis revisited J. Theoret. Biol. 244 440--450 (2007) Zavala, Miguel A. and Angulo, Óscar and Bravo de la Parra, Rafael and López-Marcos, Juan C.
Dynamics of a structured slug population model in the absence of seasonal variation Math. Models Methods Appl. Sci. 16 1961--1985 (2006) Bees, M. A. and Angulo, O. and López-Marcos, J. C. and Schley, D.
A numerical integrator for a model with a discontinuous sink term: the dynamics of the sexual phase of monogonont rotifera Nonlinear Anal. Real World Appl. 6 935--954 (2005) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Analysis of an efficient integrator for a size-structured population model with a dynamical resource Comput. Math. Appl. 68 941--961 (2014) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of a size-structured population model with a dynamical resource BIOMATH 3 1403241, 11 (2014) Angulo, Oscar and López-Marcos, J. C. and López-Marcos, M. A.
Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics Int. J. Comput. Math. 91 198--208 (2014) Adimy, M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical integration of a hierarchically size-structured population model with contest competition J. Comput. Appl. Math. 258 116--134 (2014) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
The Crank-Nicolson Hermite cubic orthogonal spline collocation method for the heat equation with nonlocal boundary conditions Adv. Appl. Math. Mech. 5 442--460 (2013) Bialecki, B. and Fairweather, G. and López-Marcos, J. C.
Stand dynamics and tree coexistence in an analytical structured model: the role of recruitment J. Theoret. Biol. 333 91--101 (2013) Angulo, Óscar and Bravo de la Parra, Rafael and López-Marcos, Juan C. and Zavala, Miguel A.
A semi-Lagrangian method for a cell population model in a dynamical environment Math. Comput. Modelling 57 1860--1866 (2013) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of a population model of marine invertebrates with different life stages Commun. Nonlinear Sci. Numer. Simul. 18 2153--2163 (2013) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Mass structured systems with boundary delay: oscillations and the effect of selective predation J. Nonlinear Sci. 22 961--984 (2012) Angulo, O. and López-Marcos, J. C. and Bees, M. A.
Numerical approximation of singular asymptotic states for a size-structured population model with a dynamical resource Math. Comput. Modelling 54 1693--1698 (2011) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of an open marine population model with spaced-limited recruitment Math. Comput. Modelling 52 1037--1044 (2010) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Numerical study on the proliferation cells fraction of a tumour cord model Math. Comput. Modelling 52 992--998 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Long-time simulation of a size-structured population model with a dynamical resource Math. Model. Nat. Phenom. 5 1--21 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A numerical method for nonlinear age-structured population models with finite maximum age J. Math. Anal. Appl. 361 150--160 (2010) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Milner, F. A.
Study on the efficiency in the numerical integration of size-structured population models: error and computational cost J. Comput. Appl. Math. 291 391--401 (2016) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A second-order method for the numerical integration of a size-structured cell population model Abstr. Appl. Anal. 0 Art. ID 549168, 8 (2015) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
The extrapolated Crank-Nicolson orthogonal spline collocation method for a quasilinear parabolic problem with nonlocal boundary conditions J. Sci. Comput. 62 265--283 (2015) Bialecki, B. and Fairweather, G. and López-Marcos, J. C.
Numerical investigation of the recruitment process in open marine population models JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 0 P01003 (2011) Angulo, O; Lopez-Marcos, JC; Lopez-Marcos, MA; Martinez-Rodriguez, J
Numerical analysis of pseudospectral methods for the Kuramoto-Sivashinsky equation IMA J. Numer. Anal. 14 233--242 (1994) López Marcos, M. Á.
A note on the computation of bifurcation diagrams of the Kuramoto-Sivashinsky equation by pseudospectral methods Appl. Numer. Math. 13 147--154 (1993) López Marcos, M. Á.
Variable step implementation of geometric integrators Appl. Numer. Math. 28 1--16 (1998) Calvo, M. P. and López-Marcos, M. A. and Sanz-Serna, J. M.
Explicit symplectic integrators using Hessian-vector products SIAM J. Sci. Comput. 18 223--238 (1997) López-Marcos, M. A. and Sanz-Serna, J. M. and Skeel, Robert D.
Are Gauss-Legendre methods useful in molecular dynamics? J. Comput. Appl. Math. 67 173--179 (1996) López-Marcos, M. A. and Sanz-Serna, J. M. and Díaz, J. C.
A finite difference scheme for the (2,2)$ compacton equation J. Comput. Phys. 120 248--252 (1995) de Frutos, J. and López Marcos, M. Á. and Sanz-Serna, J. M.
Conservative numerical methods for solitary wave interactions J. Phys. A 36 7761--7770 (2003) Durán, A. and López-Marcos, M. A.
Numerical behaviour of stable and unstable solitary waves Appl. Numer. Math. 42 95--116 (2002) Durán, A. and López-Marcos, M. A.
Numerical schemes for a size-structured cell population model with equal fission Math. Comput. Modelling 50 653--664 (2009) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems J. Nonlinear Sci. 17 569--607 (2007) Dougalis, V. A. and Durán, A. and López-Marcos, M. A. and Mitsotakis, D. E.
A numerical integrator for a model with a discontinuous sink term: the dynamics of the sexual phase of monogonont rotifera Nonlinear Anal. Real World Appl. 6 935--954 (2005) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Analysis of an efficient integrator for a size-structured population model with a dynamical resource Comput. Math. Appl. 68 941--961 (2014) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of a size-structured population model with a dynamical resource BIOMATH 3 1403241, 11 (2014) Angulo, Oscar and López-Marcos, J. C. and López-Marcos, M. A.
Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics Int. J. Comput. Math. 91 198--208 (2014) Adimy, M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical integration of a hierarchically size-structured population model with contest competition J. Comput. Appl. Math. 258 116--134 (2014) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A semi-Lagrangian method for a cell population model in a dynamical environment Math. Comput. Modelling 57 1860--1866 (2013) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of a population model of marine invertebrates with different life stages Commun. Nonlinear Sci. Numer. Simul. 18 2153--2163 (2013) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Numerical approximation of singular asymptotic states for a size-structured population model with a dynamical resource Math. Comput. Modelling 54 1693--1698 (2011) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical analysis of an open marine population model with spaced-limited recruitment Math. Comput. Modelling 52 1037--1044 (2010) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Numerical study on the proliferation cells fraction of a tumour cord model Math. Comput. Modelling 52 992--998 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Long-time simulation of a size-structured population model with a dynamical resource Math. Model. Nat. Phenom. 5 1--21 (2010) Abia, L. M. and Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A numerical method for nonlinear age-structured population models with finite maximum age J. Math. Anal. Appl. 361 150--160 (2010) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Milner, F. A.
Study on the efficiency in the numerical integration of size-structured population models: error and computational cost J. Comput. Appl. Math. 291 391--401 (2016) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
A second-order method for the numerical integration of a size-structured cell population model Abstr. Appl. Anal. 0 Art. ID 549168, 8 (2015) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A.
Numerical investigation of the recruitment process in open marine population models JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 0 P01003 (2011) Angulo, O; Lopez-Marcos, JC; Lopez-Marcos, MA; Martinez-Rodriguez, J
Proyectos:
Poblaciones estructuradas y heterogeneidad espacial: métodos numéricos y aplicaciones
Modelización, análisis y simulación numérica de la dinámica de poblaciones estructuradas
Análisis numérico de modelos de dinámica de poblaciones estructuradas y aplicaciones
Estudio numérico de modelos complejos descritos mediante ecuaciones en derivadas parciales y sus aplicaciones en biología, ecología y finanzas (NABECOFIN)
Métodos numéricos de problemas de evolución y aplicaciones
Métodos numéricos de problemas de evolución y aplicaciones
Análisis numérico de problemas de evolución no lineales con aplicaciones a la modelización en Biomatemática y Finanzas Cuantitativas
Otros datos: