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Exponentially convergent galerkin method for numerical modeling of lasing in microcavities with piercing holes Galerkin method, prove its convergence, and derive error estimates in the eigenvalue and eigenfunction

Numerical modeling of on-threshold modes of eccentric-ring microcavity lasers using the Muller integral equations and the trigonometric Galerkin method equations, discretized with trigonometric Galerkin method. This enables us to reduce the lasing eigenvalue

Justification of a Galerkin method for a regularized Cauchy singular integro-differential equation Galerkin method is justified. The convergence is proved and the error estimation is given. © 2009 Brown

Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems on the mixed-hybrid discontinuous Galerkin method. Discrete schemes are formulated in terms of approximations

Justification of a Galerkin method for a regularized Cauchy singular integro-differential equation Galerkin method is justified. The convergence is proved and the error estimation is given. © 2009 Brown

Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides© 2016, Pleiades Publishing, Ltd.We obtain error estimates for a Galerkin method with perturbations

Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems on the mixed-hybrid discontinuous Galerkin method. Discrete schemes are formulated in terms of approximations

Convergence of the galerkin method for numerical calculation of the guided modes of an integrated optical guideThe Galerkin method for numerical calculation of the natural modes of an integrated optical guide

Investigation of Lagrange–Galerkin Method for an Obstacle Parabolic Problem accuracy estimate for Lagrange–Galerkin method is derived in the case of discontinuous time derivative

Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides© 2016, Pleiades Publishing, Ltd.We obtain error estimates for a Galerkin method with perturbations

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