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Álgebra e Computação
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Artigos em Revistas Internacionais
Kulikov, Gennady Yu
; Shindin, S.K. (2004)
On automatic global error control in multistep methods with polynomial interpolation of numerical solution
Lecture Notes in Computer Science: 3045, 345-354.
Kulikov, Gennady Yu
; Shindin, S.K. (2004)
On multistep interpolation-type methods with automatic global error control
Computational Mathematics and Mathematical Physics: 44(8), 1314-1333.
Kulikov, Gennady Yu
; Merkulov, A.I. (2004)
On one-step collocation methods with higher derivatives for solving ordinary differential equations
Computational Mathematics and Mathematical Physics: 44(10), 1696-1720.
Alves, Carlos J. S.
;
Silvestre, Ana Leonor
(2004)
On the Determination of Point-Forces on a Stokes System
Mathematics and Computers in Simulation: 66(4-5), 385-397.
Alves, Carlos J. S.
;
Serranho, Pedro
(2004)
On the Identification of the Flatness of a Sound-Hard Acoustic Crack
Mathematics and Computers in Simulation: 66(4-5), 337-353.
Kulikov, Gennady Yu
(2004)
One-step methods and implicit extrapolation technique for index 1 differential-algebraic systems
Russian Journal of Numerical Analysis and Mathematical Modelling: 19(6), 527-553.
Alves, Carlos J. S.
; Ben Abdallah, J; Jaoua, M (2004)
Recovery of Cracks Using a Point-Source Reciprocity Gap Function
Inverse Problems in Science and Engineering: 12(5), 519-534.
Kulikov, Gennady Yu
; Shindin, S.K. (2003)
Extrapolated multistep methods and local-global step size control
Lecture Notes in Computer Science: 2657, 540-549.
Kulikov, Gennady Yu
(2003)
On the stability of symmetric Runge-Kutta formulas
Doklady Mathematics: 67(2), 184-188.
Kulikov, Gennady Yu
(2003)
Symmetric Runge-Kutta methods and their stability
Russian Journal of Numerical Analysis and Mathematical Modelling: 18(1), 13-41.
Lima, Pedro M.
;
Diogo, Teresa
(2002)
Numerical solution of a non-uniquely solvable Volterra integral equation using extrapolation methods
J. Computational and Applied Mathematics: 140, 537--557.
Kulikov, Gennady Yu
; Benderskaya, G.Ya. (2002)
On implementation of vector Gauss method for solving large-scale systems of index 1 differential-algebraic equations
Lecture Notes in Computer Science: 2330, 412-421.
Kulikov, Gennady Yu
(2002)
On implicit extrapolation methods for ordinary differential equations
Russian Journal of Numerical Analysis and Mathematical Modelling: 17(1), 41-69.
Kulikov, Gennady Yu
(2002)
On implicit extrapolation methods for systems of differential-algebraic equations
Moscow University Mathematics Bulletin: 57(5), 1-5.
Alves, Carlos J. S.
; Kress, R (2002)
On the Far-Field Operator in Elastic Obstacle Scattering
IMA Journal of Applied Mathematics: 67(1), 1-21.
Kulikov, Gennady Yu
(2002)
On the use of Hotelling's iterations for solving differential-algebraic systems of index 1
Doklady Mathematics: 66(3), 348-352.
Kulikov, Gennady Yu
(2001)
On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1
Computational Mathematics and Mathematical Physics: 41(8), 1122-1131.
Alves, Carlos J. S.
; Ammari, H (2001)
Boundary Integral Formulae for the Reconstruction of Imperfections of Small Diameter in an Elastic Medium
SIAM Journal on Applied Mathematics: 62(1), 94-106.
Kulikov, Gennady Yu
; Korneva, A.A. (2001)
On efficient application of implicit Runge-Kutta methods to large-scale systems of index 1differential-algebraic equations
Lecture Notes in Computer Science: 2073, 832-841.
Kulikov, Gennady Yu
; Shindin, S.K. (2000)
A technique for controlling the global error in multistep methods
Computational Mathematics and Mathematical Physics: 40(9), 1255-1275.
S. McKee; T.Tang;
Diogo, Teresa
(2000)
An Euler-type method for two-dimensional Volterra integral equations of the first kind
IMA J. Num. Anal.: 3, 423-440.
Kulikov, Gennady Yu
(2000)
A local-global version of a stepsize control for Runge-Kutta methods
Journal of Applied Mathematics and Computing: 7(2), 289-318.
Diogo, Teresa
; Franco, NB;
Lima, Pedro M.
(2000)
Analysis of product integration methods for a class of singular Volterra integral equations
Tendências da Matemática Aplicada e Computacional (TEMA ): 1(2), 373--387.
Kulikov, Gennady Yu
; Shindin, S.K. (2000)
On multistep extrapolation methods for ordinary differential equations
Doklady Mathematics: 61(3), 357-360.
Andrianova, N.A.;
Kulikov, Gennady Yu
(2000)
On pseudodiagonally optimal Runge-Kutta simple iteration methods for systems of differential- algebraic equations of index 1
Computational Mathematics and Mathematical Physics: 40(7), 1027-1045.
Kulikov, Gennady Yu
; Shindin, S.K. (1999)
A local-global stepsize control for multistep methods applied to semi-explicit index 1 differential-algebraic equations
Journal of Applied Mathematics and Computing: 6(3), 463-492.
Alves, Carlos J. S.
; Ha Duong, Tuong (1999)
Inverse Scattering for Elastic Plane Cracks
Inverse Problems: 15(1), 91-97.
Alves, Carlos J. S.
(1999)
Numerical Simulations on Resonance Poles - the Trapping Case of Two Plane Cracks
Journal of Computational and Applied Mathematics: 111(1-2), 267-279.
Kulikov, Gennady Yu
(1998)
A method of error analysis for Runge-Kutta methods
Computational Mathematics and Mathematical Physics: 38(10), 1580-1582.
Kulikov, Gennady Yu
(1998)
Asymptotic error estimates for the method of simple iterations and for the modified and generalized Newton methods
Mathematical Notes: 63(3-4), 494-502.
Kulikov, Gennady Yu
(1998)
Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge-Kutta methods with a nontrivial predictor
Computational Mathematics and Mathematical Physics: 38(1), 64-80.
Kulikov, Gennady Yu
(1998)
Revision of the theory of symmetric one-step methods for ordinary differential equations
Journal of Applied Mathematics and Computing: 5(3), 579-600.
Kulikov, Gennady Yu
(1997)
A theory of symmetric one-step methods for differential-algebraic equations
Russian Journal of Numerical Analysis and Mathematical Modelling: 12(6), 501-523.
Kulikov, Gennady Yu
(1997)
Numerical methods solving the semi-explicit differential-algebraic equations by implicit multistep fixed stepsize methods
Journal of Applied Mathematics and Computing: 4(2), 281-318.
Alves, Carlos J. S.
; Ha Duong, Tuong (1997)
On Inverse Scattering by Screens
Inverse Problems: 13(5), 1161-1176.
Kulikov, Gennady Yu
(1997)
On the numerical solution of the Cauchy problem for a system of differential-algebraic equations by means of implicit Runge-Kutta methods with a variable integration step
Moscow University Mathematics Bulletin: 52(5), 6-10.
Kulikov, Gennady Yu
(1996)
Convergence theorems for iterative Runge-Kutta methods with a constant integration step
Computational Mathematics and Mathematical Physics: 36(8), 1041-1054.
Alves, Carlos J. S.
; Ha Duong, Tuong (1995)
Numerical Resolution of the Boundary Integral-Equations for Elastic-Scattering by a Plane Crack
International Journal for Numerical Methods in Engineering: 38(14), 2347-2371.
Diogo, Teresa
; McKee, S; Tang, T. (1994)
Collocation methods for Volterra integral equations with weakly singular kernel
Proceedings of the Royal Society of Edinburgh: 124A, 199--210.
Kulikov, Gennady Yu
(1994)
The practical implementation and efficiency of the numerical methods for solving the Cauchy problem with an algebraic relation between the phase variables
Computational Mathematics and Mathematical Physics: 34(11), 1389-1401.
Kulikov, Gennady Yu
(1993)
The numerical solution of an autonomous Cauchy problem with an algebraic constraint on the phase variables (the nonsingular case)
Moscow University Mathematics Bulletin: 48(3), 8-12.
Kulikov, Gennady Yu
(1993)
The numerical solution of the autonomous Cauchy problem with an algebraic relation between the phase variables
Computational Mathematics and Mathematical Physic: 33(4), 477-492.
T.Tang; S.McKee;
Diogo, Teresa
(1992)
Product integration methods for an integral equation with logarithmic singular kernel, Appl. Numer. Math.
Applied Numerical Mathematics: 9, 259--266.
Kulikov, Gennady Yu
(1992)
A method for the numerical solution of the autonomous Cauchy problem with an algebraic restriction of the phase variables
Moscow University Mathematics Bulletin: 47(1), 14-18.
Diogo, Teresa
; McKee, S; Tang, T. (1991)
A Hermite-type collocation method for the solution of an integral equation with a certain weakly singular kernel, IMA J. Numer. Anal.
IMA J. Numerical Analysis: 11, 595-605.
Livros
Pinelas, Sandra
; Dosla, Z.; Dosly, O.; Kloeden, P. (2016)
Differential and Difference Equations with Applications
Springer Proceedings in Mathematics & Statistics, Springer, New York: 164, 451.
Agarwal, R. P.; Perera, K.;
Pinelas, Sandra
(2011)
An Introduction to Complex Analysis
Springer, 231 pp..
Teodoro, Filomena
;
Morgado, M. Luísa
; Perdicoullis, Teresa (2010)
Métodos Estatísticos em Ciências Biomédicas
Série didáctica Ciências Aplicadas, 400,Universidade de Trás os Montes e Alto Douro (UTAD): ISBN 978-972-669-018-2.
Teodoro, Filomena
;
Morgado, M. Luísa
; Perdicoulis, Teresa (2010)
Métodos Numéricos em Ciências Biomédicas
Série didáctica Ciências Aplicadas, 394,Universidade de Trás os Montes e Alto Douro (UTAD): ISBN 978-972-669-017-5.
Semoushin, I.V.;
Kulikov, Gennady Yu
(2000)
Computational Linear Algebra: Collected Assignments for Laboratory Case Studies, Tests and Examinations
Ulyanovsk State Technical University, Ulyanovsk: ISBN 5-89146-139-0, 119 p. (In Russian).
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CEMAT
- Center for Computational and Stochastic Mathematics
Instituto Superior Têcnico
Faculdade de Ciências
Universidade de Lisboa