New single-source integral equation (SSIE) of computational electromagnetics has been recently proposed. Unlike the previously known SSIEs which are derived from traditional surface integral equations (IE) through elimination of either electric or magnetic equivalent current, the new SSIE is obtained from the volume IE stated for homogeneous objects. Thus far, the novel electric field SSIE has been demonstrated to be applicable to the problems of magneto-quasi-statics with both homogeneous and layered medium background. It has been also successfully applied to both the scalar and vector problems of full-wave scattering on homogeneous penetrable 2D scatterers. This paper overviews the novel SSIE and problems to which it has been successfully applied to.