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The paper proposes a hybrid method for calculating scattering processes thatcombines the $J$-matrix method with exterior complex scaling as an absorbingboundary condition. It represents the wave function as a finite sum ofoscillator eigenstates in the inner region and on grid in the outer region. Themethod is validated for one and two dimensional model partial wave equationequations. Finally, the method calculates nuclear $p$-shell scattering.

JM-ECS: A hybrid method combining the $J$-matrix and ECS methods for scattering calculations