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This report documents the program and the outcomes of Dagstuhl Seminar 15161 "Advanced Stencil-Code Engineering". The seminar was hosted by the DFG project with the same name (ExaStencils for short) in the DFG priority programme "Software for Exascale Computing" (SPPEXA). It brought together experts from mathematics, computer science and applications to explore the challenges of very high performance and massive parallelism in solving partial differential equations. Its aim was to lay the basisdoi:10.4230/dagrep.5.4.56 dblp:journals/dagstuhl-reports/LengauerBFS15 fatcat:suk5zayvlnb63ozlamrw2vk2w4