Error estimation in initial value problems for systems of ordinary differential equations with application to the reentry problem
Abstract
An inclusion theorem for the solution of initial value problems for systems of ordinary differential equations is formulated. This allows an error estimation of an arbitrary approximation uzero. The method is based on the estimation of a solution of a system of nonlinear differential inequalities, which depends essentially on the defect of uzero. A method of numerical realization also developed herein is applied to a difficult practical problem.
 Publication:

Numerische Mathematik
 Pub Date:
 1975
 Bibcode:
 1975NuMat..24..249M
 Keywords:

 Boundary Value Problems;
 Differential Equations;
 Error Analysis;
 Reentry Physics;
 Spacecraft Reentry;
 Approximation;
 Computer Techniques;
 Equations Of Motion;
 Estimating;
 Hermitian Polynomial;
 Interpolation;
 Nonlinear Equations;
 RungeKutta Method;
 Astrodynamics