This book constitutes the refereed conference proceedings of the 7th International Conference
on Finite Difference Methods FDM 2018 held in Lozenetz Bulgaria in June 2018.The 69 revised
full papers presented together with 11 invited papers were carefully reviewed and selected from
94 submissions. They deal with many modern and new numerical techniques like splitting
techniques Green's function method multigrid methods and immersed interface method.
