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math.NA2018
An Approximation Theorist's View on Solving Operator Equations
Robert Schaback
When an Approximation Theorist looks at well-posed PDE problems or operator equations, and standard solution algorithms like Finite Elements, Rayleigh-Ritz or Trefftz techniques, m…
math.NA2018
A Nonlinear Discretization Theory for Meshfree Collocation Methods applied to Quasilinear Elliptic Equations
Klaus Böhmer, Robert Schaback
We generalize our earlier results concerning meshfree collocation methods for semilinear elliptic second order problems to the quasilinear case. The stability question, however, is…
math.NA2018
--Convergence of least-squares kernel collocation methods
Ka-Chun Cheung, Leevan Ling, Robert Schaback
The strong-form asymmetric kernel-based collocation method, commonly referred to as the Kansa method, is easy to implement and hence is widely used for solving engineering problems…