Информационная система "Конференции"

Abstracts

Numerical solution of differential and integral equations

In this work the approximate methods for Helmholtz equation are investigated. $$ Delta u+k^2u=0,$$ where the wave-number $kneq 0$ and ${rm Im}: k=0.$ Helmholtz equation is considered with the Dirichlet boundary conditions $$uBig|_{Gamma}=f,$$ Neyman boundary conditions $$frac{partial u}{partial N}Bigg|_{Gamma}=g$$ and impedance boundary conditions $$left(frac{partial u}{partial N}+lambda uright)Bigg|_{Gamma}=varphi.$$ Here we suggest the numerical schemes for approximate solution of the equation $$intlimits_{Gamma}Phi(x,y)varphi(y) ds(y)=f(x),; xinGamma$$ and optimal on the accuracy order method for recovery of the function $$ u(x)=intlimits_{Gamma}Phi(x,y)varphi(y) ds(y), ;xin R^3setminusGamma.$$

Note. Abstracts are published in author's edition

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