Artículos de revistas
A numerical scheme based on mean value solutions for the Helmholtz equation on triangular grids
Mathematics Of Computation. Amer Mathematical Soc, v. 66, n. 218, n. 477, n. 493, 1997.
A numerical treatment for the Dirichlet boundary value problem on regular triangular grids for homogeneous Helmholtz equations is presented, which also applies to the convection-diffusion problems. The main characteristic of the method is that an accuracy estimate is provided in analytical form with a better evaluation than that obtained with the usual finite difference method. Besides, this classical method can be seen as a truncated series approximation to the proposed method. The method is developed from the analytical solutions for the Dirichlet problem on a ball together with an error evaluation of an integral on the corresponding circle, yielding O(h(4)) accuracy. Some numerical examples are discussed and the results are compared with other methods, with a consistent advantage to the solution obtained here.66218477493
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From limit equations o general equations: An alternative strategy of developing equations in chemistry and its different stages of learning Guevara-González, Juan L.; Contreras-Ortega, C.; Páez, J.; Kesternich, V.; Portillo, C.