The convergence of difference schemes for generalized solutions of the problem of the thermal self-action of optical radiation

Publication date: 6 July 1994

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergence generalized solutions error estimates nonlinear optics heat conduction equation nonlinear Schrödinger-type equation implicit projection-difference and symmetric difference schemes non-steady thermal self-action of light beams thermal self-action of optical radiation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05) Electron optics (78A15)

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