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(Area)
Algebra and Computing
Applied and Numerical Analysis
Statistics and Stochastic Processes
Mathematical Modeling in Biomedicine
(Publication Type)
Papers in International Journals
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Papers in International Journals
Kulikov, Gennady Yu
; Shindin, S.K. (2008)
Local and global error estimation in Nordsieck methods
Russian Journal of Numerical Analysis and Mathematical Modelling: 23(6), 567-595.
Sellountos, Euripides
;
Sequeira, Adélia
(2008)
A Hybrid Multi-Region BEM/LBIE-RBF Velocity-Vorticity Scheme for the Two-Dimensional Navier-Stokes Equations
CMES-Computer Modeling in Engineering & Sciences: 23(2), 127-147.
Antunes, Pedro R. S.
; Freitas, Pedro (2008)
A Numerical Study of the Spectral Gap
Journal of Physics A-Mathematical and Theoretical: 41(5), 055201.
Valtchev, Svilen S.
; Roberty, Nilson C. (2008)
A Time-Marching MFS Scheme for Heat Conduction Problems
Engineering Analysis with Boundary Elements: 32(6), 480-493.
Sellountos, Euripides
;
Sequeira, Adélia
(2008)
An Advanced Meshless LBIE/RBF Method for Solving Two-Dimensional Incompressible Fluid Flows
Computational Mechanics: 41(5), 617-631.
Videman, J. H.
; Nazarov, S.A. (2008)
An Improved Nonlinear Reynolds Equation for a Thin Flow of a Viscous Incompressible Fluid
Vestnik State Petersburg University: Mathematics: 41, 171-175.
Martins, Nuno F. M.
;
Silvestre, Ana Leonor
(2008)
An Iterative MFS Approach for the Detection of Immersed Obstacles
Engineering Analysis with Boundary Elements: 32(6), 517-524.
Nazarov, Serguei A.;
Sequeira, Adélia
; Specovius-Neugebauer, Maria;
Videman, J. H.
(2008)
Artificial Boundary Conditions for Viscoelastic Flows
Mathematical Methods in the Applied Sciences: 31(8), 937-958.
Kulikov, Gennady Yu
; Khrustaleva, E.Yu. (2008)
Automatic step size and order control in explicit one-step extrapolation methods
Computational Mathematics and Mathematical Physics: 48(8), 1313-1326.
Kulikov, Gennady Yu
; Khrustaleva, E.Yu. (2008)
Automatic step size and order control in implicit one-step extrapolation methods
Computational Mathematics and Mathematical Physics: 48(9), 1545-1569.
Konyukhova, N.B.;
Lima, Pedro M.
;
Morgado, M. Luísa
; Soloviev, M.B. (2008)
Bubbles and droplets in nonlinear physics models: analysis and numerical simulation of singular nonlinear boundary value problems
Computational Mathematics and Mathematical Physics: 48(11), 2018-2058.
Alves, Carlos J. S.
; Colaco, Marcelo J.; Leitao, Vitor M. A.;
Martins, Nuno F. M.
; Orlande, Helcio R. B.; Roberty, Nilson C. (2008)
Recovering the Source Term in a Linear Diffusion Problem by the Method of Fundamental Solutions
Inverse Problems in Science and Engineering: 16(8), PII 905240936.
Acebron, Juan
; Spigler, R. (2008)
Scalability and performance analysis of a probabilistic domain decomposition method
Lecture Notes in Computer Science: 4967, 1257-1264.
Alves, Carlos J. S.
(2008)
Special Issue on Meshless Methods - Preface
Engineering Analysis with Boundary Elements: 32(6), 439-439.
Diogo, Teresa
;
Lima, Pedro M.
(2008)
Superconvergence of collocation methods for a class of weakly singular Volterra integral equations
Journal of Computational and Applied Mathematics: 218, 307-316.
Kress, Rainer;
Serranho, Pedro
(2007)
A Hybrid Method for Sound-Hard Obstacle Reconstruction
Journal of Computational and Applied Mathematics: 204(2), 418-427.
Nazarov, Sergueie A.;
Videman, J. H.
(2007)
A Modified Nonlinear Reynolds Equation for Thin Viscous Flows in Lubrication
Asymptotic Analysis: 52(1-2), 1-36.
Kulikov, Gennady Yu
; Merkulov, A.I.; Shindin, S.K. (2007)
Asymptotic error estimate for general Newton-type methods and its application to differential equations
Russian Journal of Numerical Analysis and Mathematical Modelling: 22(6), 567-590.
Kitzhofer, G.; Koch, O.;
Lima, Pedro M.
; Weinmueller, E. (2007)
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics
Journal of Scientific Computing: 32(3), 411-424.
Alves, Carlos J. S.
; Kress, Rainer;
Silvestre, Ana Leonor
(2007)
Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations
J. Inverse Ill-Posed Probl.: 15 (5), 461-481.
Ford, NJ;
Diogo, Teresa
;
Lima, Pedro M.
; Thomas, S. (2007)
Numerical modelling of qualitative behaviour of solutions to convolution integral equations
J. Computational and Applied Mathematics: 205, 849 – 858..
Kulikov, Gennady Yu
; Shindin, S.K. (2007)
Numerical tests with Gauss-type nested implicit Runge-Kutta formulas
Lecture Notes in Computer Science: 4487, 136-143.
Galdi, G. P.; Pileckas, K.;
Silvestre, Ana Leonor
(2007)
On the unsteady Poiseuille flow in a pipe
Z. Angew. Math. Phys.: 58(6), 994-1007.
Diogo, Teresa
; Ford, N.J;
Lima, Pedro M.
; Thomas, S. (2007)
Solution of a singular integral equation by a split- interval method
International Journal of Numerical Analysis and Modeling: (167)4, 63-73.
Galdi, Giovanni P.;
Silvestre, Ana Leonor
(2007)
The steady motion of a Navier-Stokes liquid around a rigid body
Arch. Rational Mech. Anal.: 3, 371-400.
Serranho, Pedro
(2006)
A Hybrid Method for Inverse Scattering for Shape and Impedance
Inverse Problems: 22(2), 663-680.
Lima, Pedro M.
;
Morgado, M. Luísa
(2006)
Analysis of Singular Boundary Value Problems for an Emden-Fowler Equation
Communications on Pure and Applied Analysis: 5(2), 321-336.
Alves, Carlos J. S.
; Leitao, VMA (2006)
Crack Analysis Using an Enriched MFS Domain Decomposition Technique
Engineering Analysis with Boundary Elements: 30(3), 160-166.
Galdi, G. P.;
Silvestre, Ana Leonor
(2006)
Existence of time-periodic solutions to the Navier-Stokes equations around a moving body
Pacific J. Math.: 223, 2251-267.
Antunes, Pedro R. S.
; Freitas, Pedro (2006)
New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions
Experimental Mathematics: 15(3), 333-342.
Kulikov, Gennady Yu
; Shindin, S.K. (2006)
Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon
Mathematics and Computers in Simulation: 72(1), 47-56.
Diogo, Teresa
;
Lima, Pedro M.
; Ford, Neville J.;
Valtchev, Svilen S.
(2006)
Numerical Methods for a Volterra Integral Equation with Non-smooth Solutions
Journal of Computational and Applied Mathematics: 189(1-2), 412–423.
Diogo, Teresa
;
Lima, Pedro M.
; Rebelo, M (2006)
Numerical Solution of a Nonlinear Abel Type Volterra Integral Equation
Communications on Pure and Applied Analysis: 5(2), 277-288.
Kulikov, Gennady Yu
; Shindin, S.K. (2006)
On a family of cheap symmetric one-step methods of order four
Lecture Notes in Computer Science: 3991, 781-785.
Kulikov, Gennady Yu
; Shindin, S.K. (2006)
One-leg variable-coefficient formulas for ordinary differential equations and the local-global step size control
Numerical Algorithms: 43(1), 99-121.
Kulikov, Gennady Yu
; Khrustaleva, E.Yu.; Merkulov, A.I. (2006)
Symmetric Runge-Kutta methods with higher derivatives and quadratic extrapolation
Lecture Notes in Computer Science: 3991, 117-123.
Alves, Carlos J. S.
; Chen, CS (2005)
A New Method of Fundamental Solutions Applied to Nonhomogeneous Elliptic Problems
Advances in Computational Mathematics: 23(1-2), 125-142.
Kulikov, Gennady Yu
; Shindin, S.K. (2005)
Global error estimation and extrapolated multistep methods for index 1 differential-algebraic systems
BIT Numerical Mathematics: 45(3), 517-542.
Alves, Carlos J. S.
;
Valtchev, Svilen S.
(2005)
Numerical Comparison of Two Meshfree Methods for Acoustic Wave Scattering
Engineering Analysis with Boundary Elements: 29(4), 371-382.
Kulikov, Gennady Yu
; Shindin, S.K. (2005)
On stable integration of stiff ordinary differential equations with global error control
Lecture Notes in Computer Science: 3514, 42-49.
Kulikov, Gennady Yu
; Shindin, S.K. (2005)
One-leg integration of ordinary differential equations with global error control
Computational Methods in Applied Mathematics: 5(1), 86-96.
Galdi, G.P.;
Silvestre, Ana Leonor
(2005)
Strong solutions to the Navier-Stokes equations around a rotating obstacle
Arch. Rational Mech. Anal.: 176(3), 331-350.
Alves, Carlos J. S.
;
Antunes, Pedro R. S.
(2005)
The Method of Fundamental Solutions Applied to the Calculation of Eigenfrequencies and Eigenmodes of 2D Simply Connected Shapes
CMC-Computers Materials & Continua: 2(4), 251-265.
Kulikov, Gennady Yu
(2004)
An advanced version of the local-global step size control for Runge-Kutta methods applied to index 1 differential-algebraic systems
Lecture Notes in Computer Science: 3037, 565-569.
Kulikov, Gennady Yu
; Merkulov, A.I. (2004)
Asymptotic error estimate of iterative Newton-type methods and its practical application
Lecture Notes in Computer Science: 3045, 667-675.
Alves, Carlos J. S.
;
Silvestre, Ana Leonor
(2004)
Density Results Using Stokeslets and a Method of Fundamental Solutions for the Stokes Equations
Engineering Analysis with Boundary Elements: 28(10), 1245-1252.
Diogo, Teresa
; Franco, NB;
Lima, Pedro M.
(2004)
High order product integration methods for a Volterra integral equation with logarithmic singular kernel
Communications on Pure and Applied Analysis: 3, 217--235.
Kulikov, Gennady Yu
; Shindin, S.K. (2004)
INTEGRATOR: A computational tool to solve ordinary differential equations with global error control
Lecture Notes in Computer Science: 3037, 570-573.
Kulikov, Gennady Yu
; Merkulov, A.I.; Khrustaleva, E.Yu. (2004)
On a family of A-stable collocation methods with high derivatives
Lecture Notes in Computer Science: 3037, 73-80.
Kulikov, Gennady Yu
; Shindin, S.K. (2004)
On an effective computation of asymptotically correct estimates of the local and global errors for multistep methods with fixed coefficients
Computational Mathematics and Mathematical Physics: 44(5), 794-814.
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CEMAT
- Center for Computational and Stochastic Mathematics
Instituto Superior Têcnico
Faculdade de Ciências
Universidade de Lisboa