Guido Vanden Berghe - researchr alias

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Viewing Publication 1 - 26 from 26

2011

Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss typeGuido Vanden Berghe, Marnix Van Daele. na, 56(4):591-608, 2011. [doi]

Exponentially fitted methods applied to fourth-order boundary value problemsD. Hollevoet, Marnix Van Daele, Guido Vanden Berghe. jcam, 235(18):5380-5393, 2011. [doi]

Advances in Computational and Mathematical Methods in Science and EngineeringJesús Vigo-Aguiar, Guido Vanden Berghe. jcam, 235(7):1745, 2011. [doi]

2009

Trigonometric polynomial or exponential fitting approach?Guido Vanden Berghe, Marnix Van Daele. jcam, 233(4):969-979, 2009. [doi]

Two-step fourth order methods for linear ODEs of the second orderMikhail V. Bulatov, Guido Vanden Berghe. na, 51(4):449-460, 2009. [doi]

Efficient computation of high index Sturm-Liouville eigenvalues for problems in physicsVeerle Ledoux, Marnix Van Daele, Guido Vanden Berghe. cphysics, 180(2):241-250, 2009. [doi]

2008

Using a (Higher-Order) Magnus Method to Solve the Sturm-Liouville ProblemVeerle Ledoux, Marnix Van Daele, Guido Vanden Berghe. iccS 2008: 1032-1041 [doi]

Finite difference approach for the two-dimensional SchrÃ¶dinger equation with application to scission-neutron emissionMargarit Rizea, Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe, Nicolae Carjan. cphysics, 179(7):466-478, 2008. [doi]

2007

P-stable Obrechkoff methods of arbitrary order for second-order differential equationsMarnix Van Daele, Guido Vanden Berghe. na, 44(2):115-131, 2007. [doi]

P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equationsMarnix Van Daele, Guido Vanden Berghe. na, 46(4):333-350, 2007. [doi]

A numerical procedure to solve the multichannel Schrödinger eigenvalue problemVeerle Ledoux, Marnix Van Daele, Guido Vanden Berghe. cphysics, 176(3):191-199, 2007. [doi]

2006

2005

MATSLISE: A MATLAB package for the numerical solution of sturm-liouville and schrödinger equationsVeerle Ledoux, Marnix Van Daele, Guido Vanden Berghe. TOMS, 31(4):532-554, 2005. [doi]

2004

CP methods of higher order for Sturm-Liouville and Schrödinger equationsVeerle Ledoux, Marnix Van Daele, Guido Vanden Berghe. cphysics, 162(3):151-165, 2004. [doi]

1998

Exponential-fitted four-step methods forMarnix Van Daele, Guido Vanden Berghe, H. De Meyer, Liviu Gr. Ixaru. ijcm, 66(3-4):299-309, 1998. [doi]

1997

A variable-step variable-order algorithm for systems of stiff odesT. Van Hecke, Guido Vanden Berghe, Marnix Van Daele, H. De Meyer. ijcm, 63(1-2):149-157, 1997. [doi]

1996

A general theory of stabilized extended one-step methods for odesMarnix Van Daele, Guido Vanden Berghe, H. De Meyer. ijcm, 60(3-4):253-263, 1996. [doi]

Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODEsMarnix Van Daele, Guido Vanden Berghe, H. De Meyer. naa 1997: 528-535

P-stable Mono-Implicit Runge-Kutta-Nyström Modifications of the Numerov MethodT. Van Hecke, Marnix Van Daele, Guido Vanden Berghe, H. De Meyer. naa 1997: 536-545

1992

Modified newton-cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequenciesMarnix Van Daele, H. De Meyer, Guido Vanden Berghe. ijcm, 42(1-2):83-97, 1992. [doi]

1991

A modified numerov integration method for general second order initial value ProblemsMarnix Van Daele, H. De Meyer, Guido Vanden Berghe. ijcm, 40(1-2):117-127, 1991. [doi]

Numerical quadrature based on an exponential type of interpolationH. De Meyer, Guido Vanden Berghe, J. Vanthournout. ijcm, 38(3-4):193-209, 1991. [doi]

1990

A modified numerov method for higher sturm-liouville eigenvaluesGuido Vanden Berghe, H. De Meyer. ijcm, 37(1-2):63-77, 1990. [doi]

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