Journal publications (JCR):
34.- J. Martín-Vaquero; S. Sajavicius, 2018,
The two-level finite difference schemes for the heat equation with nonlocal initial condition,
Applied mathematics and computation. 342, pp. 166 – 177.
33.- C. Caridade; A. H. Encinas; J. Martín-Vaquero; A. Queiruga-Dios; Deolinda Rasteiro, 2018,
Project-based teaching in Calculus courses: Estimation of the surface and perimeter of the Iberian Peninsula,
Computer Applications in Engineering Education. 26/5, pp. 1350 – 1361.
32.- J. Martín-Vaquero; A. Queiruga-Dios; A. M. Martín del Rey; A. H. Encinas; J.D. Hernández Guillén; G. Rodriguez, 2018,
Variable step length algorithms with high-order extrapolated non-standard finite difference schemes for a SEIR model,
Journal of computational and applied mathematics, 330, 848-854, 0377-0427.
31.- J. Martín-Vaquero; A. H. Encinas; A. Queiruga-Dios; V. Gayoso-Martínez, A. M. Martín del Rey, 2018,
Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions,
Nonlinear Analysis: Modelling and Control, 23, 50-62, 1392-5113.
30.- J. Martín-Vaquero; A. M. Martín del Rey; A. H. Encinas; A. Queiruga-Dios; G. Rodriguez, 2017,
Higher-order nonstandard finite difference schemes for a MSEIR model for a malware propagation,
Journal of computational and applied mathematics, 317, 146- 156, 0377-0427.
29.- J. Martín-Vaquero, A. Martín del Rey, A.H. Encinas, J.D. Hernández Guillén, A. Queiruga-Dios, G. Rodríguez-Sánchez
Higher-order nonstandard finite difference schemes for a MSEIR model for a malware propagation
Journal of Computational and Applied Mathematics 317, pp. 146-156
28.- B. Adcock, J. Martín-Vaquero, M. Richardson
Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities
SIAM Journal on Scientific Computing 39 (1), pp. A164-A187
27.- J. Martín-Vaquero, B. Kleefeld
Extrapolated stabilized explicit Runge–Kutta methods
Journal of Computational Physics 326, pp. 141-155
26.- A. Merad, J. Martín-Vaquero
A Galerkin method for two-dimensional hyperbolic integro-differential equation with purely integral conditions
Applied Mathematics and Computation 291, pp. 386-394
25.- A.H. Encinas, V. Gayoso-Martínez, A. Martín Del Rey, J. Martín-Vaquero, A. Queiruga-Dios,
A study on the efficiency and stability of high-order numerical methods for Form-II and Form-III of the nonlinear Klein-Gordon equations
International Journal of Modern Physics C 27 (9), 1650097
24.- B. Kleefeld, J. Martín-Vaquero
SERK2v3: Solving mildly stiff nonlinear partial differential equations
Journal of Computational and Applied Mathematics 299, pp. 194-206
23.- A.M. Del Rey, A.H. Encinas, J. Martin-Vaquero, A.Q. Dios, G.R. Sánchez
A method for malware propagation in industrial critical infrastructures
Integrated Computer-Aided Engineering 23 (3), pp. 255-268
22.- A.H. Encinas, J. Martín-Vaquero, A. Queiruga-Dios, V. Gayoso-Martínez
Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation
Nonlinear Analysis: Modelling and Control 20 (2), pp. 274-290
21.- C.M.R. Caridade, A.H. Encinas, J. Martín-Vaquero, A. Queiruga-Dios
CAS and real life problems to learn basic concepts in Linear Algebra course
Computer Applications in Engineering Education 23 (4), pp. 567-577
20.- B. Adcock, D. Huybrechs and J. Martín-Vaquero,
On the numerical stability of Fourier extensions
Foundations of Computational Mathematics 14 (4), pp. 635-687
19.- J. Martín-Vaquero, AQM. Khaliq and B. Kleefeld
Stabilized explicit Runge-Kutta methods for multi-asset American options
Computers and Mathematics with Applications 67 (6), pp. 1293-1308
18.- J. Martín-Vaquero
Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle
Nonlinear Analysis: Modelling and Control 19 (3), pp. 448-459
17.- J. Martín-Vaquero and B. Kleefeld (2013),
SERK2v2: a new second-order Stabilized Explicit Runge-Kutta method for stiff problems
Numerical Methods for Partial Differential Equations, 29 (1), pp. 170-185.
16.- J. Martín-Vaquero and B.A. Wade (2012),
On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions
Applied Mathematical Modelling 36, pp. 3411-3418 .
15.- J. Martín-Vaquero, A. Queiruga-Dios and A.H. Encinas (2012),
Numerical algorithms for diffusion-reaction problems with non-classical conditions
Applied Mathematics and Computation 218, pp. 5487-5495 .
14.- J. Martín-Vaquero and B. Kleefeld (2009),
Second-order stabilized explicit Runge–Kutta methods for stiff problems
Computer Physics Communications 180, pp. 1802-1810.
13.- J. Martín-Vaquero (2010),
A 17th-order Radau IIA method for package Radau. Applications in mechanical systems
Computers and Mathematics with Applications 59, pp. 2464-2472
12.- J. Martín-Vaquero (2009),
Two-level fourth-order explicit schemes for diffusion equations subject to boundary integral specifications
Chaos, Solitons & Fractals 42, pp. 2364-2372
11.- J. Martín-Vaquero and J. Vigo-Aguiar (2009),
On the numerical solution of the heat conduction equations subject to nonlocal conditions
Applied Numerical Mathematics 59, pp. 2507-2514.
10.- J. Martín-Vaquero and J. Vigo-Aguiar (2009),
A note on efficient techniques for the second-order parabolic equation subject to non-local conditions
Applied Numerical Mathematics 59, pp. 1258-1264.
9.- A.Q.M. Khaliq, J. Martín-Vaquero, B.A. Wade y M. Yousufr (2009),
Smoothing schemes for reaction-diffusion systems with nonsmooth data
Journal of Computational and Applied Mathematics 223, pp. 374-386.
8.- J. Martín-Vaquero and J. Vigo-Aguiar (2008),
Exponential fitted Gauss, Radau and Lobatto methods of low order
Numerical Algorithms 48, pp. 327-346.
7.- J. Vigo-Aguiar, J. Martín-Vaquero and H. Ramos (2008),
Exponential fitting BDF–Runge–Kutta algorithms
Computer Physics Communications 32, pp. 287-313.
6.- J. Martín-Vaquero and J. Vigo-Aguiar (2007),
Adapted BDF Algorithms: higher-order methods and their stability
Journal of Scientific Computing 32, pp. 287-313.
5.- J.Martín-Vaquero and J. Vigo-Aguiar (2008),
Explicit finite differences schemes adapted to advection-reaction equations
International Journal of Computer Mathematics 85, pp. 547-558.
4.- J. Vigo-Aguiar and J. Martín-Vaquero (2007),
Exponential Fitting BDF Algorithms and their properties
Applied Mathematics and Computation 190, pp. 80-110.
3.- J. Vigo-Aguiar and J. Martín-Vaquero (2007),
Adapted BDF algorithms applied to parabolic problems
Numerical Methods for Partial Differential Equations 23, pp. 350-365.
2.- J. Martín-Vaquero and J. Vigo-Aguiar (2006),
Exponential Fitting BDF Algorithms: explicit and implicit 0-stable methods
Journal of Computational and Applied Mathematics 192, pp. 100-113.
1.- J. Vigo-Aguiar, J. Martín-Vaquero and R Criado. (2005),
On the stability of exponential Fitting BDF Algorithms
Journal of Computational and Applied Mathematics 175, pp. 183-194.
