 in this way , one only needs to solve homogeneous equations in each domain, with the source effectively replaced by jump (boundary) conditions thereon.
<coherence>  in this way , one only needs to solve homogeneous equations in each domain, with the source effectively replaced by jump (boundary) conditions thereon.
 thus , one only needs to solve homogeneous equations in each domain, with the source effectively replaced by jump (boundary) conditions thereon.