Higher-index differential-algebraic equations: analysis and numerical treatment
How to Increase the Order to Get Minimal-Error Algorithms for Systems of ODE.
Identification of parameters in initial value problems for ordinary differential equations
Scalar parameter values as well as initial condition values are to be identified in initial value problems for ordinary differential equations (ODE). To achieve this goal, computer algebra tools are combined with numerical tools in the MATLAB environment. The best fit is obtained through the minimization of the summed squares of the difference between measured data and ODE solution. The minimization is based on a gradient algorithm where the gradient of the summed squares is calculated either numerically...
Implicit Runge- Kutta Methods for Second Kind Volterra Integral Equations.
Implicit Runge-Kutta methods for transferable differential-algebraic equations
The numerical solution of transferable differential-algebraic equations (DAE’s) by implicit Runge-Kutta methods (IRK) is studied. If the matrix of coefficients of an IRK is non-singular then the arising systems of nonlinear equations are uniquely solvable. These methods are proved to be stable if an additional contractivity condition is satisfied. For transferable DAE’s with smooth solution we get convergence of order , where is the classical order of the IRK and is the stage order. For transferable...
Increase of accuracy in machine computation of some differential equations having variable coefficients and of some nonlinear differential equations
Increase of accuracy in solving differential equations with singularities of the type by a right choice of an additional term
Irregularities in the numerical treatment of nonlinear initial value problems
Iterative methods for generalized von Foerster equations with functional dependence.
Konvergenzbeschleunigung durch modifiziertes Picard-Verfahren
Lacalgebra versions of Lanczos tau method for the numerical solution of differential equations
Laplace Adomian decomposition method for solving a fish farm model
In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.
L'arithmetisation de l'intégrale de Cauchy des équations différentielles
Least squares completions for nonlinear differential algebraic equations.
Linear Acceleration of Picard-Lindelöf Iteration.
Linear Algorithms for Testing the Sign Stability of a Matrix and for Finding Z-Maximum Matchings in Acyclic Graphs.
Linear Multistep Methods for a Class of Functional Differential Equations.
Linearly Implicit Extrapolation Methods for Differential-Algebraic Systems.
Lösung von Differentialgleichungen mit Splinefunktionen. Eine Störungstheorie. Tei 1: Divergenzaussagen.
Lösung von gewöhnlichen Differentialgleichungen mit nichtlinearen Splines.