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JavaSymphony is a Java-based programming and execution environment for programming and scheduling the performance oriented applications on multi-core parallel computers. In this paper, we present a multi-core aware scheduling extension to JavaSymphony capable of mapping parallel applications on large multi-core machines and heterogeneous clusters. JavaSymphony scheduler considers several multicore specific performance parameters and application types, and uses these parameters to optimise the mapping of JavaSymphony objects and tasks. We evaluate the performance of JavaSymphony scheduler using several real scientific applications and benchmarks on a multi-core shared memory machine and a heterogeneous cluster.