Name
Abstract | ||
|---|---|---|
In this paper we present a technique to study the existence of rational solutions for systems of differential equations —
for an ordinary differential equation, in particular. The method is relatively straightforward; it is based on a rationality
characterisation that involves matrix Pad approximants. It is important to note that, when the solution is rational, we use
formal power series “without taking into account” their circle of convergence; at the end of this paper we justify this. We
expound the theory for systems of linear first-order ordinary differential equations in the general case. However, the main
ideas are applied in numerical resolution of partial differential equations. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1023/A:1019109429882 | Numerical Algorithms |
Keywords | Field | DocType |
systems of differential equations,analytic solutions,matrix Padé approximation,rationality,minimum degrees,uniqueness,partial differential equations,41A21,34A45,35A35 | Mathematical optimization,Exponential integrator,Mathematical analysis,Separable partial differential equation,Numerical partial differential equations,Differential algebraic equation,Examples of differential equations,Stochastic partial differential equation,Integrating factor,Collocation method,Mathematics | Journal |
Volume | Issue | ISSN |
21 | 1 | 1572-9265 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Concepción González-Concepción | 1 | 5 | 3.50 |
| Celina Pestano-Gabino | 2 | 4 | 2.81 |