非線形偏微分方程式に対するカーネル選点法

抄録

This paper deals with kernel-based collocation methods mainly for nonlinear parabolic partial differential equations, with a special emphasis on rigorous convergence issues. In doing so, the interpolation theory with condition-ally positive definite kernels is briefly reviewed, and a variant of Barles-Souganidis viscosity solution methods is discussed.