A general framework for solving differential equations
| Autor: | Luigi Brugnano, Felice Iavernaro |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
General Mathematics
Hamiltonian Boundary Value Methods HBVMs line integral methods local Fourier expansion Hamiltonian problems functionally fitted methods delay differential equations implicit differential equations differential algebraic equations fractional differential equations spectral methods |
| Zdroj: | ANNALI DELL'UNIVERSITA' DI FERRARA. 68:243-258 |
| ISSN: | 1827-1510 0430-3202 |
| DOI: | 10.1007/s11565-022-00409-6 |
| Popis: | Recently, the efficient numerical solution of Hamiltonian problems has been tackled by defining the class of energy-conserving Runge-Kutta methods namedHamiltonian Boundary Value Methods (HBVMs). Their derivation relies on the expansion of the vector field along a suitable orthonormal basis. Interestingly, this approach can be extended to cope with more general differential problems. In this paper we sketch this fact, by considering some relevant examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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