J.I. Ramos

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All published works

Action	Title	Year	Authors
+	Piecewise Analytical Approximation Methods for Initial-Value Problems of Nonlinear Ordinary Differential Equations	2025	J.I. Ramos
+	Finite Difference Methods Based on the Kirchhoff Transformation and Time Linearization for the Numerical Solution of Nonlinear Reaction–Diffusion Equations	2024	J.I. Ramos
+ PDF Chat	Effect of initial conditions on a one-dimensional model of small-amplitude wave propagation in shallow water. II: Blowup for nonsmooth conditions	2023	J.I. Ramos Carmen María García López
+	Effect of the initial conditions on a one-dimensional model of small-amplitude wave propagation in shallow water	2020	J.I. Ramos Carmen María García López
+	A conservative method of lines for advection-reaction-diffusion equations	2020	J.I. Ramos
+	A conservative, piecewise–analytical, transversal method of lines for reaction–diffusion equations	2019	J.I. Ramos
+	Numerical solution of the generalized, dissipative KdV–RLW–Rosenau equation with a compact method	2018	Alejandro Apolinar–Fernández J.I. Ramos
+	A conservative, spatially continuous method of lines for one-dimensional reaction-diffusion equations	2017	J.I. Ramos
+	Time-linearized, compact methods for the inviscid GRLW equation subject to initial Gaussian conditions	2017	J.I. Ramos C.M. García‐López
+	On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions	2016	J.I. Ramos
+ PDF Chat	Solitary Wave Formation from a Generalized Rosenau Equation	2016	J.I. Ramos C.M. García‐López
+	Solitary waves generated by bell-shaped initial conditions in the inviscid and viscous GRLW equations	2015	C.M. García‐López J.I. Ramos
+	Effects of convection on a modified GRLW equation	2012	C.M. García‐López J.I. Ramos
+	REACTION-DIFFUSION PHENOMENA WITH RELAXATION	2012	J.I. Ramos
+	On two classes of autonomous third-order nonlinear ordinary differential equations	2011	J.I. Ramos C.M. García‐López
+	A Volterra integral formulation for determining the periodic solutions of some autonomous, nonlinear, third-order ordinary differential equations	2010	J.I. Ramos C.M. Garcı ́a-López
+	Approximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equations	2010	J.I. Ramos
+	Picard’s iterative method for nonlinear advection–reaction–diffusion equations	2009	J.I. Ramos
+	Iterative and non-iterative methods for non-linear Volterra integro-differential equations	2009	J.I. Ramos
+	Generalized decomposition methods for singular oscillators	2009	J.I. Ramos
+	Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations	2009	J.I. Ramos
+	Exponential techniques and implicit Runge-Kutta methods for singularly-perturbed volterra integro-differential equations	2008	J.I. Ramos
+	An artificial parameter Linstedt–Poincaré method for the periodic solutions of nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable	2008	J.I. Ramos
+	Generalized decomposition methods for nonlinear oscillators	2008	J.I. Ramos
+	A non-iterative derivative-free method for nonlinear ordinary differential equations	2008	J.I. Ramos
+	On the Picard–Lindelof method for nonlinear second-order differential equations	2008	J.I. Ramos
+	An artificial parameter–Linstedt–Poincaré method for oscillators with smooth odd nonlinearities	2008	J.I. Ramos
+	Limit cycles of non-smooth oscillators	2007	J.I. Ramos
+	Piecewise-adaptive decomposition methods	2007	J.I. Ramos
+	On the variational iteration method and other iterative techniques for nonlinear differential equations	2007	J.I. Ramos
+	Piecewise homotopy methods for nonlinear ordinary differential equations	2007	J.I. Ramos
+	An artificial parameter-decomposition method for nonlinear oscillators: Applications to oscillators with odd nonlinearities	2007	J.I. Ramos
+	Linearized Galerkin and artificial parameter techniques for the determination of periodic solutions of nonlinear oscillators	2007	J.I. Ramos
+	On Linstedt–Poincaré techniques for the quintic Duffing equation	2007	J.I. Ramos
+	Numerical methods for nonlinear second-order hyperbolic partial differential equations. I. Time-linearized finite difference methods for 1-D problems	2007	J.I. Ramos
+	Numerical methods for nonlinear second-order hyperbolic partial differential equations. II – Rothe’s techniques for 1-D problems	2007	J.I. Ramos
+	Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method	2006	J.I. Ramos
+	Piecewise-quasilinearization techniques for singularly perturbed Volterra integro-differential equations	2006	J.I. Ramos
+	A finite volume method for one-dimensional reaction–diffusion problems	2006	J.I. Ramos
+	Piecewise-linearized methods for oscillators with fractional-power nonlinearities	2006	J.I. Ramos
+	Exponential methods for singularly perturbed ordinary differential–difference equations	2006	J.I. Ramos
+	Damping characteristics of finite difference methods for one-dimensional reaction–diffusion equations	2006	J.I. Ramos
+	Solitary waves of the EW and RLW equations	2006	J.I. Ramos
+	Solitary wave interactions of the GRLW equation	2006	J.I. Ramos
+	Piecewise-linearized methods for initial-value problems with oscillating solutions	2006	J.I. Ramos
+	Explicit finite difference methods for the EW and RLW equations	2006	J.I. Ramos
+	Piecewise-linearized methods for single degree-of-freedom problems	2005	J.I. Ramos
+	Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods	2005	J.I. Ramos
+	Iterative and non-iterative, full and approximate factorization methods for multidimensional reaction–diffusion equations	2005	J.I. Ramos
+	Linearly-implicit, approximate factorization, exponential methods for multi-dimensional reaction–diffusion equations	2005	J.I. Ramos
+	Exponential numerical methods for one-dimensional one-phase Stefan problems	2005	J.I. Ramos
+	Piecewise-linearized methods for oscillators with limit cycles	2005	J.I. Ramos
+	On the numerical treatment of an ordinary differential equation arising in one-dimensional non-Fickian diffusion problems	2005	J.I. Ramos
+	Exponential methods for one-dimensional reaction–diffusion equations	2005	J.I. Ramos
+	Adaptive domain-decomposition methods for two-dimensional, time-dependent reaction-diffusion equations in nongraded meshes	2005	Enrique Soler J.I. Ramos
+	Equivalence of C0 and C1 methods for ODE’s	2004	J.I. Ramos
+	Exponentially-fitted methods on layer-adapted meshes	2004	J.I. Ramos
+	IMPLICIT FACTORIZATION TECHNIQUES FOR TWO-DIMENSIONAL, ANISOTROPIC, REACTIVE–DIFFUSIVE MEDIA WITH CROSS-DIFFUSION EFFECTS	2004	J.I. Ramos
+	An exponentially-fitted method for singularly-perturbed ordinary differential equations with turning points and parabolic problems	2004	J.I. Ramos
+	A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems	2004	J.I. Ramos
+	Linearization techniques for singularly-perturbed initial-value problems of ordinary differential equations	2004	J.I. Ramos
+	A piecewise-analytical method for singularly perturbed parabolic problems	2004	J.I. Ramos
+	An exponentially-fitted method for singularly perturbed, one-dimensional, parabolic problems	2004	J.I. Ramos
+	Linearization techniques for singular initial-value problems of ordinary differential equations	2004	J.I. Ramos
+	Piecewise quasilinearization techniques for singular boundary-value problems	2004	J.I. Ramos
+	Non-standard, explicit integration algorithms based on linearization for nonlinear dynamic response analysis	2003	J.I. Ramos
+	Spiral wave break-up and planar front formation in two-dimensional reactive–diffusive media with straining	2003	J.I. Ramos
+	Reactive‐diffusive phenomena in two‐dimensional, anisotropic media	2003	J.I. Ramos
+	Linearly implicit methods for the nonlinear Schrödinger equation in nonhomogeneous media	2002	J.I. Ramos
+	S-stability of piecewise-linearized and linearized θ-methods	2002	C.M. García‐López J.I. Ramos
+	Parallel simulation of spiral waves in reacting and diffusing media	2001	Eva M. Ortigosa Luis F. Romero J.I. Ramos
+	Domain decomposition techniques for reaction–diffusion equations in two-dimensional regions with re-entrant corners	2001	J.I. Ramos Enrique Soler
+	Three-dimensional Simulations Of Spiral Waves In Reacting AndDiffusing Media On DSM Computers	2000	Eva M. Ortigosa Luis F. Romero J.I. Ramos
+	On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's	1999	Francisco R. Villatoro J.I. Ramos
+	Linearized methods for ordinary differential equations	1999	J.I. Ramos
+	On the method of modified equations. I: Asymptotic analysis of the Euler forward difference method	1999	Francisco R. Villatoro J.I. Ramos
+	On the method of modified equations. IV. Numerical techniques based on the modified equation for the Euler forward difference method	1999	Francisco R. Villatoro J.I. Ramos
+	On the method of modified equations. V: Asymptotic analysis of and direct-correction and asymptotic successive-correction techniques for the implicit midpoint method	1999	Francisco R. Villatoro J.I. Ramos
+	On diffusive methods and exponentially fitted techniques	1999	J.I. Ramos
+	On the method of modified equations. III. Numerical techniques based on the second equivalent equation for the Euler forward difference method	1999	Francisco R. Villatoro J.I. Ramos
+	On the method of modified equations. II: Numerical techniques based on the equivalent equation for the Euler forward difference method	1999	Francisco R. Villatoro J.I. Ramos
+	Linearized factorization techniques for multidimensional reaction—diffusion equations	1999	J.I. Ramos
+	Maps of implicit, linearized θ-methods for the logistic differential equation	1998	J.I. Ramos
+	Implicit, compact, linearized θ-methods with factorization for multidimensional reaction-diffusion equations	1998	J.I. Ramos
+	Intermediate boundary conditions in operator-splitting techniques and linearization methods	1998	J.I. Ramos C.M. García‐López
+	A piecewise time-linearized method for the logistic differential equation	1998	J.I. Ramos
+	Maps of implicit, linearized h-methods for the logistic diÄerential equation	1998	J.I. Ramos
+	Short communication	1997	J.I. Ramos C.M. García‐López
+	Linearization methods for reaction-diffusion equations: 1-D problems	1997	J.I. Ramos
+	Linearization methods for reaction-diffusion equations: Multidimensional problems	1997	J.I. Ramos
+	Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization	1997	J.I. Ramos C.M. García‐López
+	Piecewise-linearized methods for initial-value problems	1997	J.I. Ramos C.M. García‐López
+	EXACT-FACTORIZATION, COMPACT METHODS FOR MULTIDIMENSIONAL HEAT TRANSFER: APPLICATION TO COMBUSTION	1997	J.I. Ramos
+	Piecewise-Linear ized Methods for Initial-Value Problems	1997	J.I. Ramos C. M. Garcia-LSpez
+	Linearized Θ-methods part II: Reaction-diffusion equations	1996	C.M. García‐López J.I. Ramos
+	A PIECEWISE-LINEARIZED METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS: TWO-POINT BOUNDARY-VALUE PROBLEMS	1996	C.M. García‐López J.I. Ramos
+	Efficient parallel solution of a semiconductor laser array dynamics model	1996	Luis F. Romero Emilio L. Zapata J.I. Ramos
+	Linearized Θ-methods I. Ordinary differential equations	1996	J.I. Ramos C.M. García‐López
+ PDF Chat	Classical forces on solitons in finite and infinite nonlinear planar waveguides	1994	J.I. Ramos Francisco R. Villatoro
+	The nonlinear Schrödinger equation in the finite line	1994	J.I. Ramos Francisco R. Villatoro
+ PDF Chat	A quantum mechanics analogy for the nonlinear Schrödinger equation in the finite line	1994	J.I. Ramos Francisco R. Villatoro
+ PDF Chat	Forces on solitons in finite, nonlinear, planar waveguides	1994	J.I. Ramos Francisco R. Villatoro
+	Nonlinear Equations in the Applied Sciences	1993	J.I. Ramos
+	Adaptive methods of lines for one‐dimensional reaction‐diffusion equations	1993	J.I. Ramos
+	Handbook of differential equations	1993	J.I. Ramos
+	Asymptotic Analysis and the Numerical Solution of Partial Differential Equations	1992	J.I. Ramos
+	Adaptive and nonadaptive Hermitian operator methods for combustion phenomena	1991	J.I. Ramos
+	Dynamics of liquid membranes. II: Adaptive finite difference methods	1991	J.I. Ramos
+	Handbook of differential equations	1990	J.I. Ramos
+	Finite element methods for one‐dimensional combustion problems	1990	J.I. Ramos
+	Second Course in Ordinary Differential Equations for Scientists and Engineers	1990	J.I. Ramos
+	Hermitian operator methods for reaction-diffusion equations	1987	J.I. Ramos
+	Modified equation techniques for reactive-diffusive systems. Part 1: explicit, implicit and quasilinear methods	1987	J.I. Ramos
+	Modified equation techniques for reaction-diffusive systems. part 2: time-linearization and operator-splitting methods	1987	J.I. Ramos
+	Numerical solution of reaction–diffusion equations by compact operators and modified equation methods	1987	J.I. Ramos T. I‐P. Shih
+	NUMERICAL METHODS FOR ONE-DIMENSIONAL REACTION-DIFFUSION EQUATIONS ARISING IN COMBUSTION THEORY	1987	J.I. Ramos
+	A heuristic control strategy for non-linear reaction-diffusion equations	1986	J.I. Ramos
+	Stability analysis of a closed thermosyphon model	1986	J.I. Ramos Flavio Dobran
+	On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems	1986	J.I. Ramos
+	Numerical solution of reactive-diffusive systems	1986	J.I. Ramos
+	MODIFIED EQUATION METHODS FOR ONE-DIMENSIONAL FLAME PROPAGATION PROBLEMS	1986	J.I. Ramos
+	Numerical solution of reactive-diffusive systems	1985	J.I. Ramos
+	Development and application of an adaptive finite element method to reaction‐diffusion equations	1985	J.I. Ramos
+	Numerical solution of reactive-diffusive systems	1985	J.I. Ramos
+	On some accurate finite‐difference methods for laminar flame calculations	1984	J.I. Ramos
+	A review of some numerical methods for reaction-diffusion equations	1983	J.I. Ramos
+	Numerical studies of laminar flame propagation in spherical bombs	1983	J.I. Ramos
+	Application of the finite-element method to one-dimensional flame propagation problems	1983	D. N. Lee J.I. Ramos
+	Ignition of confined gaseous mixtures by hot surfaces and hot wires	1983	J.I. Ramos
+	Application of the finite element method to 1-D flame propagation problems	1982	D. LEE J.I. Ramos
+	Numerical studies of laminar flame propagation in spherical bombs	1982	J.I. Ramos
+	Linearized Finite Difference Methods:Application To Nonlinear Heat ConductionProblems	1970	C.M. García‐López J.I. Ramos

Common Coauthors

Coauthor	Papers Together
C.M. Garcı́a-López	14
Francisco R. Villatoro	10
Luis F. Romero	3
Carmen María García López	2
Eva M. Ortigosa	2
Enrique Soler	2
C.M. Garcı ́a-López	1
D. N. Lee	1
Emilio L. Zapata	1
Flavio Dobran	1
D. LEE	1
Alejandro Apolinar–Fernández	1
C. M. Garcia-LSpez	1
T. I‐P. Shih	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An Implicit Factored Scheme for the Compressible Navier-Stokes Equations	1978	Richard M. Beam R. F. Warming	19
+	On the structure and use of linearized block implicit schemes	1980	W. R. Briley H. McDonald	18
+	Solving Frontier Problems of Physics: The Decomposition Method	1994	George Adomian	16
+	On diffusive methods and exponentially fitted techniques	1999	J.I. Ramos	16
+	SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS	2006	Ji‐Huan He	14
+	Differencing scheme for a differential equation with a small parameter affecting the highest derivative	1969	Арлен Михайлович Ильин	13
+	ADDENDUM: NEW INTERPRETATION OF HOMOTOPY PERTURBATION METHOD	2006	Ji‐Huan He	12
+	Nonlinear Stochastic Operator Equations	1986	George Adomian	12
+	Nonlinear Stochastic Operator Equations	1986		12
+	Linearized factorization techniques for multidimensional reaction—diffusion equations	1999	J.I. Ramos	11
+	Quasilinearization and nonlinear boundary-value problems	1965	Richard Bellman Robert E. Kalaba	11
+	Numerical Solution of Convection-Diffusion Problems	2019	K. W. Morton	11
+	NUMERICAL METHODS FOR ONE-DIMENSIONAL REACTION-DIFFUSION EQUATIONS ARISING IN COMBUSTION THEORY	1987	J.I. Ramos	11
+	Ordinary Differential Equations	2002	Philip Hartman	11
+	Linearized Θ-methods I. Ordinary differential equations	1996	J.I. Ramos C.M. García‐López	10
+	Homotopy perturbation technique	1999	Ji‐Huan He	10
+	The Theory of Differential Equations: Classical and Qualitative	2010	Walter G. Kelley Allan Peterson	10
+	Homotopy perturbation method: a new nonlinear analytical technique	2002	Ji‐Huan He	10
+	Uniform Numerical Methods for Problems with Initial and Boundary Layers.	1982	Alan E. Berger E. P. Doolan John J. H. Miller W.H.A. Schilders	10
+	Linearization methods for reaction-diffusion equations: Multidimensional problems	1997	J.I. Ramos	9
+	Numerical studies of laminar flame propagation in spherical bombs	1983	J.I. Ramos	9
+	Application of an explicit numerical method to a reaction-diffusion system in combustion	1979	Rolf D. Reitz	9
+	Numerical method for boundary layers with blowing - The exponential box scheme	1978	Tarek M. A. El-Mistikawy M. J. Werle	9
+	Numerical solution of reactive-diffusive systems	1986	J.I. Ramos	9
+	Linearized methods for ordinary differential equations	1999	J.I. Ramos	9
+	Ten ways to generate the Il'in and related schemes	1994	Hans‐Görg Roos	9
+	Numerical Methods for Singularly Perturbed Differential Equations	1996	Hans‐Görg Roos Martin Stynes Lutz Tobiska	9
+	Robust Computational Techniques for Boundary Layers	2000	Paul A. Farrell Alan F. Hegarty John Miller Eugene O’Riordan G. I. Shishkin	8
+	The modified equation approach to the stability and accuracy analysis of finite-difference methods	1974	R. F. Warming B.J Hyett	8
+	Fitted Numerical Methods for Singular Perturbation Problems	1996	John J. H. Miller Eugene O’Riordan G. I. Shishkin	8
+	Model equations for long waves in nonlinear dispersive systems	1972	T. Brooke Benjamin Jerry L. Bona J. J. Mahony	8
+	Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method	2006	J.I. Ramos	8
+	Development and application of an adaptive finite element method to reaction‐diffusion equations	1985	J.I. Ramos	8
+	On some accurate finite‐difference methods for laminar flame calculations	1984	J.I. Ramos	8
+	On the stability of solitary-wave solutions of model equations for long waves	1994	Jerry L. Bona Alain Soyeur	7
+	An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude	2003	Shijun Liao	7
+	Methods for Reducing Approximate-Factorization Errors in Two- and Three-Factored Schemes	1993	Erlendur Steinthorsson Tom I-P. Shih	7
+	Modified Lindstedt–Poincare methods for some strongly non-linear oscillations	2002	Ji‐Huan He	7
+	Multiple Scale and Singular Perturbation Methods	1996	J. Kevorkian J. D. Cole	7
+	An artificial parameter-decomposition method for nonlinear oscillators: Applications to oscillators with odd nonlinearities	2007	J.I. Ramos	7
+	Piecewise-linearized methods for initial-value problems	1997	J.I. Ramos C.M. García‐López	7
+	Numerical solution of reactive-diffusive systems	1985	J.I. Ramos	7
+	On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems	1986	J.I. Ramos	7
+	Numerical solution of reactive-diffusive systems	1985	J.I. Ramos	7
+	Linearization methods for reaction-diffusion equations: 1-D problems	1997	J.I. Ramos	6
+	Iteration procedure for determining approximate solutions to non-linear oscillator equations	1987	Ronald E. Mickens	6
+	Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization	1997	J.I. Ramos C.M. García‐López	6
+	Solitary waves of the EW and RLW equations	2006	J.I. Ramos	6
+ PDF Chat	Perturbation Methods in Applied Mathematics	1973	Julian D. Cole Lawrence E. Levine	6
+	Implicit, compact, linearized θ-methods with factorization for multidimensional reaction-diffusion equations	1998	J.I. Ramos	6