We make a further step in the open problem of unisolvence for unsymmetric Kansa collocation, proving that the MultiQuadric Kansa method with fixed collocation points and random fictitious centers is almost surely unisolvent, for stationary convection-diffusion equations with mixed boundary conditions on general domains. For the purpose of illustration, the method is applied in 2D with fictitious centers that are local random perturbations of predetermined collocation points.

翻译：我们在非对称Kansa配点法的唯一可解性这一开放问题上取得了进一步进展，证明了对于一般区域上具有混合边界条件的稳态对流扩散方程，采用固定配点与随机虚拟中心的多二次Kansa方法几乎必然具有唯一可解性。为说明该方法，我们在二维情况下应用了虚拟中心作为预设配点局部随机扰动的实现方案。