em. prof. dr. Guido Vanden Berghe
- ORCID iD
- 0000-0002-7215-9446
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Het verblijf van Simon Stevin in het Poolse Krakau
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Simon Stevins belangstelling voor taal en terminologie
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- Journal Article
- A4
- open access
Hoe het Nederduits een wetenschappelijke taal werd : 400 jaar geleden stierf Simon Stevin van Brugghe (1548-1620)
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Simon Stevin van Brugghe : een lichtend voorbeeld
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Simon Stevin (1548-1620) : een wetenschapper met een standbeeld
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Simon Stevin : expo over een veelzijdig genie
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Simon Stevin van Brugghe (1548-1620) : hij veranderde de wereld
(2020) -
Simon Stevin (1548-1620) : een wetenschapper met een standbeeld
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- Conference Paper
- P1
- open access
Multi-parameter exponentially fitted, P-stable Obrechkoff methods
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Exponentially-fitted methods: searching the frequency
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Exponentially fitted methods applied to fourth-order boundary value problems
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Неклассические разностные ехемы для обыкновенных дифференциальных уравнений второго порядка (начальная задача)
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Symplectic exponentially-fitted four stage Runge-Kutta methods of the Gauss type
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Symplectic exponentially-fitted modified Runge-Kutta methods of the Gauss type, revisited
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Advances in computational and mathematical methods in science and engineering
Jesus Vigo-Aguiar and Guido Vanden Berghe (UGent)(2011) 235 (7). -
- Book Chapter
- open access
Simon Stevin and the art of war
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Fourth-order symplectic exponentially-fitted modified Runge-Kutta methods of the Gauss type: a review
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The use of exponentially fitted methods in a deferred correction framework
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- Conference Paper
- P1
- open access
Three-stage two-parameter symplectic, symmetric exponentially-fitted Runge-Kutta methods of Gauss type
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Efficient numerical solution of the one-dimensional Schrödinger eigenvalue problem using Magnus integrators
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Symplectic exponentially-fitted modified Runge-Kutta Gauss methods
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Exponentially fitted open Newton-Cotes differential methods as multilayer symplectic integrators
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シリーズ: 科学史ライブラリー 科学革命の先駆者シモン・ステヴィン ―不思議にして不思議にあらず―
(2009) -
Trigonometric polynomial or exponential fitting approach?
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- Conference Paper
- P1
- open access
Multiparameter exponentially-fitted methods applied to second-order boundary value problems
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Geschiedenis van de Wiskunde
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Two-step fourth order methods for linear ODEs of the second order
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Simon Stevin, een BBB'er avant la lettre
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The optimal exponentially-fitted Numerov method for solving two-point boundary value problems
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Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems
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Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics
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Exponentially-fitted Obrechkoff methods for second-order differential equations
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Exponentially-fitted methods applied to fourth-order boundary value problems
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Trigonometric polynomial or exponential fitting approach?
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- Conference Paper
- P1
- open access
On the Leading Error Term of Exponentially Fitted Numerov Methods
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'Magic is No Magic':The Wonderful World of Simon Stevin
(2008) -
Finite difference approach for the two-dimensional Schrodinger equation with application to scission-neutron emission
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Using a (higher-order) Magnus method to solve the Sturm-Liouville problem
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Trigonometric polynomial or exponentially fitting approach?
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Numerical solutions of Ordinary Differential Equations. The exponential fitting approach: an actual status.
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Niets nieuws onder de zon (Nihil nove sub sole)
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Preface
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Tuned methods for fourth order boundary problems
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P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations
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Simon, Stevin, Flemish Tutor of a Dutch Prince
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Magic is no Magic: The Wonderful World of Simon Stevin
(2007) -
P-stable Obrechkoff methods of arbitrary order for second-order differential equations
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Geometric numerical integration by means of exponentially-fitted methods
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A numerical procedure to solve the multichannel Schrodinger eigenvalue problem
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Exponentially-fitted Numerov methods
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Revisiting a chapter from the notebooks of Ramanujan on hypergeometric series
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Exponentially-fitted Störmer/Verlet methods
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Brain drain, nil nove sub sole: a historical approach
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Solution of the Schrodinger equation over an infinite integration interval by perturbation methods, revisited
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Solution of the Schrodinger equation by a high order perturbation method based on a linear reference potential
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Some improvements to the MATSLISE-package
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Exponentially-fitted Obrechkoff methods for second-order differential equations
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Piecewise constant perturbation methods for the multichannel Schrodinger equation
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CPM {P, N} methods extended for the solution of coupled channel Schrodinger equations
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MATSLISE: A MATLAB package for the numerical solution of Sturm-Liouville and Schrodinger equations
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High order CP methods for the Numerical Solution of Schrödinger Problems
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Exponentially-fitted geometric numerical integration
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CP methods and the evaluation of negative energy Coulomb Whittaker functions
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The numerical solution of Sturm-Liouville and Schrödinger problems using Piecewise Perturbation methods
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Exponentially fitted quadrature rules of Gauss type for oscillatory integrands
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On an entry of Ramanujan in his Notebooks: a nested roots expansion
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An entry of Ramanujan on hypergeometric series in his Notebooks
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Exponential fitting: Applications for ODE-solvers
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Exponential Fitting: General Approach and Applications for ODE-solvers
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Extended One-Step Methods: An Exponential Fitting Approach
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Exponential Fitting
(2004) -
CP methods of higher order for Sturm-Liouville and Schrodinger equations
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Simon Stevin, une vie à l'ombre du pouvoir
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Simon Stevin, een leven in de schaduw van de macht
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Exponential fitting: Applications for ODE-solvers
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Approximate solution of singular integral equations
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Exponentially-fitted Algorithms: Fixed or Frequency Dependent Knot Points?
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Exponential Fitting
(2004) -
Exponentially-fitted algorithms: fixed or frequency dependent knot points?
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Gauss, Ramanujan and Hypergeometric Series Revisted
(2003) HISTORIA SCIENTIARUM. INTERNATIONAL JOURNAL OF THE HISTORY OF SCIENCE OF JAPAN.. 13(2). p.123-133 -
"Wonder en is gheen Wonder"; De Geniale Wereld van Simon Stevin (1548--1620)
(2003) -
Exponentially-fitted extended one-step methods
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Exponential fitted Runge-Kutta methods of collocation type: fixed or variable knot points?
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Exponentially fitted variable two-step BDF algorithm for first order ODEs
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A special identity between three F-2(1)(a, b; c; 4) hypergeometric series
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K. Srinivasa Rao and his work
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International conference on special functions and their applications (ICSF2002) - Preface
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Simon Stevin (1548-1620), Vlaamse leermeester van een Nederlandse Prins.
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Frequency evaluation in exponential fitting multistep algorithms for ODEs.
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Simon Stevin, Flemish tutor to a Dutch prince
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Weights of the exponential fitting multistep algorithms for first-order ODEs.
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Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods.
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Optimal implicit exponentially-fitted Runge-Kutta methods.
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Preface: numerical analysis 2000: vol. VI: Ordinary differential equations and integral equations
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- Journal Article
- A1
- open access
Exponentially fitted Runge-Kutta methods
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Highly accurate eigenvalues for the distorted Coulomb potential.
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- Journal Article
- A1
- open access
Deferred correction with mono-implicit Runge-Kutta methods for first-order IVPs
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- Journal Article
- A1
- open access
Comment on: A two-stage fourth-order 'almost' P-stable method for oscillatory problems
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Deferred correction with mono-implicit Runge-Kutta methods for first order IVPs
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Exponentially-fitted explicit Runge-Kutta methods
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SLCPM12 - A program for solving regular Sturm-Liouville problems.
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Laudatio Eric Van Schoonenberghe
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Simon Stevin (1548-1620), Brugse wiskundige in dienst van Oranje
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Simon Stevin 1548-1620
(1998) 9. -
On a class of P-stable mono-implicit Runge-Kutta-Nyström methods
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Exponential-fitted four-step methods for y "=f(x,y).
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CP methods for the Schrodinger equation revisited.
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Mono-implicit Runge-Kutta-(Nyström) methods for the numerical integration of first- and second-order ODEs
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P-stable mono-implicit Runge-Kutta-Nyström modifications of the Numerov method
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A variable-step variable-order algorithm for systems of stiff ODEs
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- Journal Article
- A1
- open access
A mono-implicit Runge-Kutta-Nyström modification of the Numerov method
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Four-step exponential-fitted methods for nonlinear physical problems.
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EXPFIT4 - A FORTRAN program for the numerical solution of systems of nonlinear second-order initial-value problems.
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- Journal Article
- A1
- open access
On the generation of mono-implicit Runge-Kutta-Nyström methods by mono-implicit Runge-Kutta methods
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Multistride L-stable fourth-order methods for the numerical solution of ODEs
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A regularization procedure for Σn- i=1 fi(zj)xi = g(zj), ( j = 1, 2, , n)
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A parallel fifth-order algorithm for the numerical solution of Volterra equations.
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A general theory of stabilized extended one-step methods for ODEs.
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- Journal Article
- A1
- open access
Properties and implementation of r-Adams methods based on mixed-type interpolation
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A modified difference scheme for periodic and semiperiodic Sturm-Liuoville problems.
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Exact solutions for radial Schrodinger equations.
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Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems
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Structural zeros of Racah coefficients and exceptional Lie-algebras.
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On Gregory-type and modified Gregory-type corrections to Newton-Cotes quadrature.
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Modified Gregory formulae based on mixed interpolation.
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A smooth approximation for the solution of a fourth order boundary value problem based on non-polynomial splines.
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Numerical-solution of Volterra-equations based on mixed interpolation.
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Numerical-integration based on mixed-type interpolation for a 4th-order boundary-value problem.
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A FINITE-ELEMENT ESTIMATE WITH TRIGONOMETRIC HAT FUNCTIONS FOR STURM-LIOUVILLE EIGENVALUES.
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On the implementation of parallel iterated Runge-Kutta methods on a transputer network
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NUMERICAL-SOLUTION OF FREDHOLM EQUATIONS BASED ON MIXED INTERPOLATION.
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THE IMPLEMENTATION OF PARALLEL GRAM-SCHMIDT ORTHOGONALIZATION ALGORITHMS ON A RING OF TRANSPUTERS.
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Multistep methods for ordinary differential equations based on algebraic and first order trigonometric polynomials
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A five-diagonal finite difference method based on mixed-type interpolation for computing eigenvalues of fourth-order two-point boundary-value problems
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Five-diagonal finite difference methods based on mixed-type interpolation for a certain fourth-order two-point boundary-value problem.
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Modified Newton-Cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies.
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A parallel approach to the modified Numerov-like eigenvalue determination for Sturm-Liouville problems.
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ON THE ALGEBRA OF COUPLED SO(3) TENSORS.
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A five-diagonal finite difference method based on mixed type interpolation for computing eigenvalues of fourth-order two-point boundary-value problems
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On a correction of Numerov-like eigenvalue approximations for Sturm-Liouville problems
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A special property of the relations connecting quadratic products of R3 shift operators
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Shift operator techniques for the classification of multipole-phonon states. IX. Properties of nonscalar R(3) product operators in the $G_2$ group.
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Special Functions and Differential Equations. Proceedings of a Workshop held at the Institute of Mathematical Sciences, Madras, India. Allied Publishers. New Delhi, 1997, 469 pp.
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Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODE's. Lecture Notes in Computer Science 1196, Proceedings of the First International Workshop WNAA'96, Rousse, Bulgaria, 1997, 528-535.
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Parallel Runge-Kutta algorithms on a transputer network. Abstracts of the 6th Intern. Seminar on numerical treatment of differential equations, NUMDIFF-6, Halle (Duitsland), september 1992.
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Numerical Analysis 2000 in the 20th Century, VI: Ordinary Differential and Integral Equations. ISBN 0-444-50600-4, 2001, 558.
C BAKER, G MONEGATO, J PRYCE and Guido Vanden Berghe (UGent)