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We present a method for using programmable graphics hardware to solve a variety of boundary value problems. The time-evolution of such problems is frequently governed by partial differential equations, which are used to describe a wide range of dynamic phenomena including heat transfer and fluid mechanics. The need to solve these equations efficiently arises in many areas of computational science. Finite difference methods are commonly used for solving partial differential equations; we showdoi:10.1145/1198555.1198784 dblp:conf/siggraph/GoodnightWLLH05 fatcat:mov7rqebhfhtjizyr6p3s2v3iu