Add to ORKGWe discuss the solution of implicit systems in the critical case, i.e. when the classical assumptions of the implicit functions theorem are not satised. The generalized solution introduced bellow solves such cases and it may not be a manifold. In certain examples, it may have a complex structure and its approximation is nontrivial. We present here an algorithm for the approximation of the generalized solution. Numerical tests are also included
The traditional techniques of approximation theory in the form of kernel in-terpolation and cubic sp...
AbstractIn this article, we provide sufficient conditions for the convergence of generalized Newton ...
This article concerns sufficient conditions for the solvability of implicit difference equations. Th...
The implicit function theorem is a statement of the existence, continuity, and differen-tiability of...
For many systems of dierential equations modeling problems in science and engineering, there are oft...
Investigating the correspondence between systems of partial differential equations and their analyti...
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a p...
A generalized solution scheme using an implicit time integrator for piecewise linear and nonlinear s...
Our goal in this work is to give an algorithmic method to find solutions of a LSS. To accomplish thi...
AbstractMany problems in physics and mathematics may be reduced to solving equations depending on a ...
Many practical problems in science and engineering are modeled by large systems of ordinary differen...
The paper presents a new enclosure method for initial value problems in systems of ordinary differen...
AbstractThis article considers implicit systems of differential equations. The implicit systems that...
AbstractThe use of implicit methods for ODEs, e.g. implicit Runge-Kutta schemes, requires the soluti...
Many problems in physics and mathematics may be reduced to solving equations depending on a paramete...
The traditional techniques of approximation theory in the form of kernel in-terpolation and cubic sp...
AbstractIn this article, we provide sufficient conditions for the convergence of generalized Newton ...
This article concerns sufficient conditions for the solvability of implicit difference equations. Th...
The implicit function theorem is a statement of the existence, continuity, and differen-tiability of...
For many systems of dierential equations modeling problems in science and engineering, there are oft...
Investigating the correspondence between systems of partial differential equations and their analyti...
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a p...
A generalized solution scheme using an implicit time integrator for piecewise linear and nonlinear s...
Our goal in this work is to give an algorithmic method to find solutions of a LSS. To accomplish thi...
AbstractMany problems in physics and mathematics may be reduced to solving equations depending on a ...
Many practical problems in science and engineering are modeled by large systems of ordinary differen...
The paper presents a new enclosure method for initial value problems in systems of ordinary differen...
AbstractThis article considers implicit systems of differential equations. The implicit systems that...
AbstractThe use of implicit methods for ODEs, e.g. implicit Runge-Kutta schemes, requires the soluti...
Many problems in physics and mathematics may be reduced to solving equations depending on a paramete...
The traditional techniques of approximation theory in the form of kernel in-terpolation and cubic sp...
AbstractIn this article, we provide sufficient conditions for the convergence of generalized Newton ...
This article concerns sufficient conditions for the solvability of implicit difference equations. Th...