Name
Abstract | ||
|---|---|---|
For the numerical solution of initial value problems a general procedure to determine global integration methods is derived and studied. They are collocation methods which can be easily implemented and provide a high order accuracy. They further provide globally continuous differentiable solutions. Computation of the integrals which appear in the coefficients are generated by a recurrence formula and no integrals are involved in the calculation. Numerical experiments provide favorable comparisons with other existing methods. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.08.036 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
general procedure,collocation method,numerical experiment,existing method,global integration method,favorable comparison,continuous differentiable solution,numerical integration,high order accuracy,numerical solution,initial value problem | Numerical methods for ordinary differential equations,Mathematical optimization,Mathematical analysis,Orthogonal collocation,Order of integration (calculus),Numerical integration,General linear methods,Initial value problem,Collocation method,Mathematics,Collocation | Journal |
Volume | Issue | ISSN |
62 | 8 | 0898-1221 |
Citations | PageRank | References |
4 | 0.61 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| F. Costabile | 1 | 29 | 40.97 |
| A. Napoli | 2 | 5 | 2.68 |