Electronic Structure Calculations on Graphics Processing Units (eBook, ePUB)

From Quantum Chemistry to Condensed Matter Physics
Redaktion: Walker, Ross C.; Goetz, Andreas W.

• Format: ePub

Produktbeschreibung

Electronic Structure Calculations on Graphics Processing Units: From Quantum Chemistry to Condensed Matter Physics provides an overview of computing on graphics processing units (GPUs), a brief introduction to GPU programming, and the latest examples of code developments and applications for the most widely used electronic structure methods. The book covers all commonly used basis sets including localized Gaussian and Slater type basis functions, plane waves, wavelets and real-space grid-based approaches. The chapters expose details on the calculation of two-electron integrals, exchange-correlation quadrature, Fock matrix formation, solution of the self-consistent field equations, calculation of nuclear gradients to obtain forces, and methods to treat excited states within DFT. Other chapters focus on semiempirical and correlated wave function methods including density fitted second order M ller-Plesset perturbation theory and both iterative and perturbative single- and multireference coupled cluster methods. Electronic Structure Calculations on Graphics Processing Units: From Quantum Chemistry to Condensed Matter Physics presents an accessible overview of the field for graduate students and senior researchers of theoretical and computational chemistry, condensed matter physics and materials science, as well as software developers looking for an entry point into the realm of GPU and hybrid GPU/CPU programming for electronic structure calculations.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 368
• Erscheinungstermin: 16. Februar 2016
• Englisch
• ISBN-13: 9781118670699
• Artikelnr.: 44782399

Autorenporträt

Ross C. Walker, San Diego Supercomputer Center and Department of Chemistry and Biochemistry, University of California San Diego Dr. Walker is an Assistant Research Professor at the San Diego Supercomputer Center, an Adjunct Assistant Professor in the Department of Chemistry and Biochemistry at the University of California San Diego, and an NVIDIA CUDA fellow. He leads a team of scientists that develop advanced techniques for molecular dynamics (MD) simulations aimed at improving drug and biocatalyst design. Aspects of his work that are of particular relevance for the proposed book include the development of quantum mechanics (QM) and quantum mechanics/molecular mechanics (QM/MM) methods for MD simulations, and the development of a widely used GPU accelerated MD code with funding from the National Science Foundation program SI2 (Software Infrastructure for Sustained Innovation). These methods, including the GPU accelerated MD code, are integrated into the AMBER MD software package that is used worldwide. Over the course of the last years Dr. Walker has given presentations and lectured on multiple occasions about GPU acceleration of MD codes and scientific applications. Dr. Walker's research is documented in over 30 peer-reviewed journal articles and multiple collected works. In 2010 Dr. Walker co-authored with Dr. Goetz a book chapter that reviews the use of GPU accelerators in quantum chemistry. Andreas W. Goetz, San Diego Supercomputer Center, University of California San Diego Dr. Goetz is an Assistant Project Scientist at the San Diego Supercomputer Center with strong expertise in method and scientific software development for quantum chemistry and molecular dynamics simulations on high performance computing platforms. He is a contributing author of the ADF (Amsterdam Density Functional) software for DFT calculations and the AMBER MD software package. Over the last years, Dr. Goetz has given various contributed and invited presentations of his work at renowned universities and international conferences. Dr. Goetz has also organized and taught workshops demonstrating the use of the software he develops. His research is documented in 21 peer-reviewed journal articles and 1 book contribution.

Inhaltsangabe

List of Contributors xiii

Preface xvii

Acknowledgments xix

Glossary xxi

Abbreviations xxv

1. Why Graphics Processing Units 1"
Perri Needham, Andreas W. Götz and Ross C. Walker

1.1 A Historical Perspective of Parallel Computing 1

1.2 The Rise of the GPU 5

1.3 Parallel Computing on Central Processing Units 7

1.4 Parallel Computing on Graphics Processing Units 12

1.5 GPU-Accelerated Applications 15

References 19

2. GPUs: Hardware to Software 23
Perri Needham, Andreas W. Götz and Ross C. Walker

2.1 Basic GPU Terminology 24

2.2 Architecture of GPUs 24

2.3 CUDA Programming Model 26

2.4 Programming and Optimization Concepts 30

2.5 Software Libraries for GPUs 34

2.6 Special Features of CUDA-Enabled GPUs 35

References 36

3. Overview of Electronic Structure Methods 39
Andreas W. Götz

3.1 Introduction 39

3.2 Hartree-Fock Theory 42

3.3 Density Functional Theory 46

3.4 Basis Sets 49

3.5 Semiempirical Methods 53

3.6 Density Functional Tight Binding 56

3.7 Wave Function-Based Electron Correlation Methods 57

Acknowledgments 60

References 61

4. Gaussian Basis Set Hartree-Fock, Density Functional Theory, and Beyond on GPUs 67
Nathan Luehr, Aaron Sisto and Todd J. Martínez

4.1 Quantum Chemistry Review 68

4.2 Hardware and CUDA Overview 72

4.3 GPU ERI Evaluation 73

4.4 Integral-Direct Fock Construction on GPUs 78

4.5 Precision Considerations 88

4.6 Post-SCF Methods 91

4.7 Example Calculations 93

4.8 Conclusions and Outlook 97

References 98

5. GPU Acceleration for Density Functional Theory with Slater-Type Orbitals 101
Hans van Schoot and Lucas Visscher

5.1 Background 101

5.2 Theory and CPU Implementation 102

5.3 GPU Implementation 105

5.4 Conclusion 112

References 113

6. Wavelet-Based Density Functional Theory on Massively Parallel Hybrid Architectures 115
Luigi Genovese, Brice Videau, Damien Caliste, Jean-François Méhaut, Stefan Goedecker and Thierry Deutsch

6.1 Introductory Remarks on Wavelet Basis Sets for Density Functional Theory Implementations 115

6.2 Operators in Wavelet Basis Sets 117

6.3 Parallelization 123

6.4 GPU Architecture 124

6.5 Conclusions and Outlook 132

References 133

7. Plane-Wave Density Functional Theory 135
Maxwell Hutchinson, Paul Fleurat-Lessard, Ani Anciaux-Sedrakian, Dusan Stosic, Jeroen Bédorf and Sarah Tariq

7.1 Introduction 135

7.2 Theoretical Background 136

7.3 Implementation 143

7.4 Optimizations 148

7.5 Performance Examples 151

7.6 Exact Exchange with Plane Waves 159

7.7 Summary and Outlook 165

Acknowledgments 165

References 165

Appendix A: Definitions and Conventions 168

Appendix B: Example Kernels 168

8. GPU-Accelerated Sparse Matrix-Matrix Multiplication for Linear Scaling Density Functional Theory 173
Ole Schütt, Peter Messmer, Jürg Hutter and Joost VandeVondele

8.1 Introduction 173

8.2 Software Architecture for GPU-Acceleration 177

8.3 Maximizing Asynchronous Progress 180

8.4 Libcusmm: GPU Accelerated Small Matrix Multiplications 183

8.5 Benchmarks and Conclusions 186

Acknowledgments 189

References 189

9. Grid-Based Projector-Augmented Wave Method 191