F. J. Lisbona

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All published works

Action	Title	Year	Authors
+ PDF Chat	On a local Fourier analysis for overlapping block smoothers on triangular grids	2016	Carmen Rodrigo Francisco J. Gaspar F.J. Lisbona
+	Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions	2016	Francisco J. Gaspar F.J. Lisbona П. П. Матус Vo Thi Kim Tuyen
+	On a local Fourier analysis for overlapping block smoothers on triangular grids	2015	Carmen Rodrigo Francisco J. Gaspar F.J. Lisbona
+	On a local Fourier analysis for overlapping block smoothers on triangular grids	2015	Carmen Rodrigo Francisco J. Gaspar F.J. Lisbona
+ PDF Chat	STABILIZED FINITE DIFFERENCE METHODS FOR THE FULLY DYNAMIC BIOT'S PROBLEM	2013	Natalia Boal Francisco J. Gaspar F.J. Lisbona Petr N. Vabishchevich
+	An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids	2013	P. Salinas Carmen Rodrigo Francisco J. Gaspar F.J. Lisbona
+ PDF Chat	FINITE-DIFFERENCE ANALYSIS FOR THE LINEAR THERMOPOROELASTICITY PROBLEM AND ITS NUMERICAL RESOLUTION BY MULTIGRID METHODS	2012	Natalia Boal Francisco J. Gaspar F.J. Lisbona Petr Vabishchevich
+	Finite-difference analysis of fully dynamic problems for saturated porous media	2011	Natalia Boal Francisco J. Gaspar F.J. Lisbona П. Н. Вабищевич
+	An almost third order finite difference scheme for singularly perturbed reaction–diffusion systems	2010	C. Clavero J.L. Gracia F.J. Lisbona
+ PDF Chat	High Order Schemes for Reaction-Diffusion Singularly Perturbed Systems	2009	C. Clavero J.L. Gracia F.J. Lisbona
+	A System of Singularly Perturbed Semilinear Equations	2009	J.L. Gracia F.J. Lisbona Monique Madaune‐Tort Eugene O’Riordan
+	A coupled system of singularly perturbed parabolic reaction-diffusion equations	2008	J.L. Gracia F.J. Lisbona Eugene O’Riordan
+ PDF Chat	A stabilized difference scheme for deformable porous media and its numerical resolution by multigrid methods	2007	Francisco J. Gaspar F.J. Lisbona Cornelis W. Oosterlee
+	A uniformly convergent scheme for a system of reaction–diffusion equations	2006	J.L. Gracia F.J. Lisbona
+	Staggered grid discretizations for the quasi-static Biot's consolidation problem	2005	Francisco J. Gaspar F.J. Lisbona П. Н. Вабищевич
+	A uniformly convergent scheme on a nonuniform mesh for convection–diffusion parabolic problems	2003	C. Clavero J.C. Jorge F.J. Lisbona
+	A Robust Method of Improved Order for Convection-Diffusion Problems in a Domain with Characteristic Boundaries	2002	C. Clavero J.L. Gracia F.J. Lisbona G. I. Shishkin
+	Some numerical experiments with multigrid methods on Shishkin meshes	2002	Francisco J. Gaspar C. Clavero F.J. Lisbona
+ PDF Chat	Finite Difference Schemes for Poro-elastic ProblemS	2002	Francisco J. Gaspar F.J. Lisbona Petr N. Vabishchevich
+	Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems	2001	Francisco J. Gaspar F.J. Lisbona C. Clavero
+	High Order ε-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems	2001	J.L. Gracia F.J. Lisbona C. Clavero
+ PDF Chat	Operator-splitting Schemes for Solving Unsteady Elasticity Problems	2001	F.J. Lisbona Pert N. Vabishchevich
+	None	1999	C. Clavero J.L. Gracia F.J. Lisbona
+ PDF Chat	A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems	1998	C. Clavero J.C. Jorge F.J. Lisbona G. I. Shishkin
+	Singular Perturbation on a Subdomain	1997	Gloria Aguilar F.J. Lisbona
+	Splitting time methods and one dimensional special meshes for reaction-diffusion parabolic problems	1997	C. Clavero J.C. Jorge F.J. Lisbona G. I. Shishkin
+	Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems.	1997	C. Clavero J.C. Jorge F.J. Lisbona G. I. Shishkin
+	Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem	1995	C. Clavero F.J. Lisbona John J. H. Miller
+	Contractivity results for alternating direction schemes in Hilbert spaces	1994	J.C. Jorge F.J. Lisbona
+ PDF Chat	On the coupling of elliptic and hyperbolic nonlinear differential equations	1994	Gloria Aguilar F.J. Lisbona
+ PDF Chat	Interface conditions for a kind of nonlinear elliptic-hyperbolic problems	1994	Gloria Aguilar F. J. Lisbona
+	Uniformly convergent finite difference methods for singularly perturbed problems with turning points	1993	C. Clavero F.J. Lisbona
+	On the Stability of Interpolatory Variable-Stepsize Adams Methods in Nordsieck Form	1989	M. Calvo F.J. Lisbona J.I. Montijano
+	On the Stability of Variable-Stepsize Nordsieck BDF Methods	1987	M. Calvo F.J. Lisbona J.I. Montijano
+	On The Stability of Variable Stepsize Adams Methods in Nordsieck Form	1987	M. Calvo F.J. Lisbona J.I. Montijano
+	The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods	1984	Michel Crouzeix F.J. Lisbona

Common Coauthors

Coauthor	Papers Together
C. Clavero	13
J.L. Gracia	8
Francisco J. Gaspar	7
Francisco J. Gaspar	6
J.C. Jorge	5
G. I. Shishkin	4
M. Calvo	3
Natalia Boal	3
J.I. Montijano	3
Carmen Rodrigo	3
П. Н. Вабищевич	2
Eugene O’Riordan	2
Gloria Aguilar	2
Petr N. Vabishchevich	2
Gloria Aguilar	1
Monique Madaune‐Tort	1
John J. H. Miller	1
Petr Vabishchevich	1
Cornelis W. Oosterlee	1
Vo Thi Kim Tuyen	1
Pert N. Vabishchevich	1
Carmen Rodrigo	1
П. П. Матус	1
P. Salinas	1
Michel Crouzeix	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Numerical Methods for Singularly Perturbed Differential Equations	1996	Hans‐Görg Roos Martin Stynes Lutz Tobiska	7
+	The Theory of Difference Schemes	2001	A.A. Samarskii	6
+	Fitted Numerical Methods for Singular Perturbation Problems: Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions	1996	John J. H. Miller	6
+	Grid approximation of singularly perturbed boundary value problems with convective terms	1990	G. I. Shishkin	6
+	Analysis of some difference approximations for a singular perturbation problem without turning points	1978	R. Bruce Kellogg Alice Tsan	6
+	A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems	2003	Niall Madden	5
+	Accurate Solution of a System of Coupled Singularly Perturbed Reaction-diffusion Equations	2003	Torsten Lin� Niall Madden	5
+	Fitted Numerical Methods for Singular Perturbation Problems	1996	John J. H. Miller Eugene O’Riordan G. I. Shishkin	4
+	Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations	1969	Peter Piotrowski	4
+ PDF Chat	Multi-grid methods and applications.	1986	Wolfgang Hackbusch	4
+ PDF Chat	Multi-level adaptive solutions to boundary-value problems	1977	Achi Brandt	4
+	Staggered grid discretizations for the quasi-static Biot's consolidation problem	2005	Francisco J. Gaspar F.J. Lisbona П. Н. Вабищевич	4
+ PDF Chat	On numerical integration of ordinary differential equations	1962	Arnold Nordsieck	4
+	Stability properties of variable stepsize variable formula methods	1978	Zahari Zlatev	4
+	Robust Computational Techniques for Boundary Layers	2000	Paul A. Farrell Alan F. Hegarty John Miller Eugene O’Riordan G. I. Shishkin	4
+	Stability and Convergence of Variable Order Multistep Methods	1974	C. W. Geart Daniel S. Watanabe	4
+	Uniform fourth order difference scheme for a singular perturbation problem	1989	Dejana Herceg	4
+	Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations	1995	G. I. Shishkin	4
+	Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems	2008	Torsten Linß Niall Madden	4
+ PDF Chat	Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem	1987	Eugene C. Gartland	4
+	The Theory of Difference Schemes	2001	A.A. Samarskii	4
+	The Effect of Variable Mesh Size on the Stability of Multistep Methods	1974	C. W. Geart K. W. Tu	4
+	A coupled system of singularly perturbed parabolic reaction-diffusion equations	2008	J.L. Gracia F.J. Lisbona Eugene O’Riordan	3
+	-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems	2000	Piet Hemker	3
+	The midpoint upwind scheme	1997	Martin Stynes Hans‐Görg Roos	3
+	Special Meshes for Finite Difference Approximations to an Advection-Diffusion Equation with Parabolic Layers	1995	Alan F. Hegarty John J. H. Miller Eugene O’Riordan G. I. Shishkin	3
+	The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods	1984	Michel Crouzeix F.J. Lisbona	3
+	Matrix-dependent prolongations and restrictions in a blackbox multigrid solver	1990	Paul M. de Zeeuw	3
+	Sufficient Conditions for Uniform Convergence of a Class of Difference Schemes for a Singularly Perturbed Problem	1987	A. J. FARRELL	3
+	Stability of multistep-methods on variable grids	1983	Rolf Dieter Grigorieff	3
+	Computer solution of ordinary differential equations : the initial value problem	1975	L. F. Shampine Marilyn K. Gordon	3
+ PDF Chat	Graded-mesh difference schemes for singularly perturbed two-point boundary value problems	1988	Eugene C. Gartland	3
+	Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems	1996	Hans‐Görg Roos Martin Stynes Lutz Tobiska	3
+	The Stability of Variable-Stepsize Nordsieck Methods	1983	Robert D. Skeel L. W. Jackson	3
+	A numerical method for a system of singularly perturbed reaction–diffusion equations	2002	S. Matthews Eugene O’Riordan G. I. Shishkin	3
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	3
+ PDF Chat	Convergence and stability in the numerical integration of ordinary differential equations	1956	Germund Dahlquist	3
+ PDF Chat	Algorithm 407: DIFSUB for solution of ordinary differential equations [D2]	1971	C. W. Gear	3
+ PDF Chat	An Improved Error Estimate for a Numerical Method for a System of Coupled Singularly Perturbed Reaction-diffusion Equations	2003	Torsten Linß Niall Madden	3
+ PDF Chat	An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs	1980	Kenneth R. Jackson Ron Sacks‐Davis	3
+ PDF Chat	On the coupling of hyperbolic and parabolic systems: analytical and numerical approach	1989	Fabio Gastaldi Alfio Quarteroni	2
+	Contractivity results for alternating direction schemes in Hilbert spaces	1994	J.C. Jorge F.J. Lisbona	2
+ PDF Chat	A high-order difference method for differential equations	1980	Robert E. Lynch John R. Rice	2
+ PDF Chat	A parameter robust numerical method for a two dimensional reaction-diffusion problem	2005	C. Clavero J.L. Gracia Eugene O’Riordan	2
+	AN ACCURATE NUMERICAL SOLUTION OF A TWO DIMENSIONAL HEAT TRANSFER PROBLEM WITH A PARABOLIC BOUNDARY LAYER	1998	C. Clavero John J. H. Miller Eugene O’Riordan G. I. Shishkin	2
+	LSODE and LSODI, two new initial value ordinary differential equation solvers	1980	A.C. Hindmarsh	2
+	A difference scheme on a non-uniform mesh for a differential equation with a small parameter in the highest derivative	1983	G. I. Shishkin	2
+	High order methods for elliptic and time dependent reaction–diffusion singularly perturbed problems	2004	C. Clavero J.L. Gracia	2
+ PDF Chat	Efficient solvers for incompressible flow problems: An algorithmic and computational approach	1999	Stefan Turek	2
+	On the Stability of Variable-Stepsize Nordsieck BDF Methods	1987	M. Calvo F.J. Lisbona J.I. Montijano	2