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https://github.com/m-a-d-n-e-s-s/madness

Multiresolution Adaptive Numerical Environment for Scientific Simulation
https://github.com/m-a-d-n-e-s-s/madness

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Multiresolution Adaptive Numerical Environment for Scientific Simulation

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MADNESS

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Multiresolution Adaptive Numerical Environment for Scientific Simulation



# Summary



MADNESS provides a high-level environment for the solution of integral and differential equations in many dimensions using adaptive, fast methods with guaranteed precision based on multi-resolution analysis and novel separated representations. 



There are three main components to MADNESS. At the lowest level is a new petascale parallel programming environment that increases programmer productivity and code performance/scalability while maintaining backward compatibility with current programming tools such as MPI and Global Arrays. The numerical capabilities built upon the parallel tools provide a high-level environment for composing and solving numerical problems in many (1-6+) dimensions. 



Finally, built upon the numerical tools are new applications with initial focus upon chemistry, atomic and molecular physics, material science, and nuclear structure.



User documentation can be found on [readthedocs](https://madness.readthedocs.io/en/latest/).



Developer documentation generated by doxygen can be found [here](https://m-a-d-n-e-s-s.github.io/madness/api-doc/).



Here's a [video](http://www.youtube.com/watch?v=dBwWjmf5Tic) about MADNESS.



# Funding



The developers gratefully acknowledge the support of:



* The Department of Energy, Office of Science, Office of Basic Energy Sciences  "Numerically-Exact Relativistic ManyBody Electronic Structure of Heavy Elements" grant DE-SC0022327 ((Valeev, Virginia Tech, PI).



* The EPEXA project, currently supported by the National Science Foundation under grants 1931387 at Stony Brook University, 1931347 at Virginia Tech, and 1931384 at the University of Tennesse, Knoxville.



* The TESSE project, supported by the National Science Foundation under grants 1450344 at Stony Brook University, 1450262 at Virginia Tech, and 1450300 at the University of Tennesse, Knoxville.



* The Department of Energy, Office of Science, Office of Basic Energy Sciences and Office of Advanced Scientific Computing Research, under contract DE-AC05-00OR22725 with Oak Ridge National Laboratory.



* The National Science Foundation under grant 0509410 to the University of Tennessee in collaboration with The Ohio State University (P. Sadayappan). The MADNESS parallel runtime and parallel tree-algorithms include concepts and software developed under this project.



* The National Science Foundation under grant NSF OCI-0904972 to the University of Tennessee. The solid state physics and multiconfiguration SCF capabilities are being developed by this project.



* The National Science Foundation under grant NSF CHE-0625598 to the University of Tennessee, in collaboration with UIUC/NCSA. Some of the multi-threading and preliminary GPGPU ports were developed by this project.



* The Defense Advanced Research Projects Agency (DARPA) under subcontract from Argonne National Laboratory as part of the High-Productivity Computer Systems (HPCS) language evaluation project.