The finite-difference numerical Hartree-Fock method for diatomic molecules is compared with its finite-element counterpart. A comparison of the total and orbital energies for several atomic and diatomic systems shows that the finite-difference method is not inferior to the finite-element one, in con
Finite basis set versus finite difference and finite element methods
✍ Scribed by D. Moncrieff; S. Wilson
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 387 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
The finite basis set Hartrcc-Fock method is compared with the finite difference and finite element counterparts. A comparison of the total and orbital energies for two diatomic systems demonstrates that the finite basis set approach can afford an accuracy approaching that achieved in finite difference and finite element methods provided that the large and llexible basis sets are systematically constructed. Some advantages of the finite basis set technique (the algebraic approximation) are emphasized.
📜 SIMILAR VOLUMES
## Abstract A new class of positivity‐preserving, flux‐limited finite‐difference and Petrov–Galerkin (PG) finite‐element methods are devised for reactive transport problems.The methods are similar to classical TVD flux‐limited schemes with the main difference being that the flux‐limiter constraint