A class of bases in L2 for the sparse representations of integral operators
SIAM Journal on Mathematical Analysis
Fast spectral projection algorithms for density-matrix computations
Journal of Computational Physics
Adaptive solution of partial differential equations in multiwavelet bases
Journal of Computational Physics
Journal of Computational Physics
Global trees: a framework for linked data structures on distributed memory parallel systems
Proceedings of the 2008 ACM/IEEE conference on Supercomputing
Fast convolution with the free space Helmholtz Green's function
Journal of Computational Physics
Analyzing lock contention in multithreaded applications
Proceedings of the 15th ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming
Improving data locality for irregular partitioned global address space parallel programs
Proceedings of the 50th Annual Southeast Regional Conference
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Multiresolution analysis in multiwavelet bases is being investigated as an alternative computational framework for molecular electronic structure calculations. The features that make it attractive include an orthonormal basis, fast algorithms with guaranteed precision and sparse representations of many operators (e.g., Green functions). In this paper, we discuss the multiresolution formulation of quantum chemistry including application to density functional theory and developments that make practical computation in three and higher dimensions.