Observability for initial value problems with sparse initial data

MODIFIED K-STEP METHOD FOR SOLVING FUZZY INITIAL VALUE PROBLEMS

We are concerned with the development of a K−step method for the numerical solution of fuzzy initial value problems. Convergence and stability of the method are also proved in detail. Moreover, a specific method of order 4 is found. The numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.

Initial value problems for second order hybrid fuzzy differential equations

Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Sparse Approximation Algorithms for High Dimensional Parametric Initial Value Problems

We consider the efficient numerical approximation on nonlinear systems of initial value Ordinary Differential Equations (ODEs) on Banach state spaces S over R or C. We assume the right hand side depends in affine fashion on a vector y = (yj)j≥1 of possibly countably many parameters, normalized such that |yj | ≤ 1. Such affine parameter dependence of the ODE arises, among others, in mass action ...

Spectral Methods for Periodic Initial Value Problems with Nonsmooth Data

In this paper we consider hyperbolic initial value problems subject to periodic boundary conditions with nonsmooth data. We show that if we filter the data and solve the problem by the Galerkin-Collocation method, recently proposed by us, then we can recover pointwise values with spectral accuracy, provided that the actual solution is piecewise smooth. For this we have to perform a local smooth...