Rotational transport on a sphere: Local node refinement with radial basis functions. - Natasha Flyer; Erik Lehto (J. Comput. Phys., 2010)

Stabilization of RBF-generated finite difference methods for convective PDEs. - Bengt Fornberg; Erik Lehto (J. Comput. Phys., 2011)

A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere. - Natasha Flyer; Erik Lehto; Sébastien Blaise; Grady B. Wright; Amik St.-Cyr (J. Comput. Phys., 2012)

Stable calculation of Gaussian-based RBF-FD stencils. - Bengt Fornberg; Erik Lehto; Collin Powell (Comput. Math. Appl., 2013)

Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions. - Elisabeth Larsson; Erik Lehto; Alfa R. H. Heryudono; Bengt Fornberg (SIAM J. Sci. Comput., 2013)

Pricing of Basket Options Using Dimension Reduction and Adaptive Finite Differences in Space, and Discontinuous Galerkin in Time. - Lina von Sydow; Paria Ghafari; Erik Lehto; Mats Wångersjö (ENUMATH, 2015)

A scalable RBF-FD method for atmospheric flow. - Martin Tillenius; Elisabeth Larsson; Erik Lehto; Natasha Flyer (J. Comput. Phys., 2015)

A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces. - Erik Lehto; Varun Shankar; Grady B. Wright (SIAM J. Sci. Comput., 2017)

Partition of unity extension of functions on complex domains. - Fredrik Fryklund; Erik Lehto; Anna-Karin Tornberg (J. Comput. Phys., 2018)