The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Linear algebra operators for GPU implementation of numerical algorithms
Abstract
In this work, the emphasis is on the development of strategies to realize techniques of numerical computing on the graphics chip. In particular, the focus is on the acceleration of techniques for solving sets of algebraic equations as they occur in numerical simulation. We introduce a framework for the implementation of linear algebra operators on programmable graphics processors (GPUs), thus providing the building blocks for the design of more complex numerical algorithms. In particular, we propose a stream model for arithmetic operations on vectors and matrices that exploits the intrinsic parallelism and efficient communication on modern GPUs. Besides performance gains due to improved numerical computations, graphics algorithms benefit from this model in that the transfer of computation results to the graphics processor for display is avoided. We demonstrate the effectiveness of our approach by implementing direct solvers for sparse matrices, and by applying these solvers to multi-dimensional finite difference equations, i.e. the 2D wave equation and the incompressible Navier-Stokes equations.
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Cites
A set of level 3 basic linear algebra subprograms
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Large steps in cloth simulation
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Implicit fairing of irregular meshes using diffusion and curvature flow
Desbrun, M., Meyer, M., Schröder, P., & Barr, A. H. (1999) · Proceedings of the 26th annual conference on Computer graphics and interactive techniques - SIGGRAPH '99 · doi:10.1145/311535.311576 · Cited by 1,538
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An extended set of FORTRAN basic linear algebra subprograms
Dongarra, J. J., Du Croz, J., Hammarling, S., & Hanson, R. J. (1988) · ACM Transactions on Mathematical Software · doi:10.1145/42288.42291 · Cited by 887
Fedkiw, R. P., Stam, J., & Jensen, H. W. (2001) · ACM SIGGRAPH Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH) · doi:10.1145/383259.383260 · Cited by 877
Realistic Animation of Liquids
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Practical animation of liquids
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Proceedings of IEEE Visualization '99
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Cited by
Random Walks for Image Segmentation
Grady, L. (2006) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2006.233 · Cited by 2,624
Grady, L., Schiwietz, T., Aharon, S., & Westermann, R. (2005) · Lecture Notes in Computer Science · doi:10.1007/11566489_95 · Cited by 113
Self-citation
Metadata
- Authors
- Krüger, J., & Westermann, R.
- Venue
- ACM Transactions on Graphics
- Published
- 2003-07
- Volume
- 22
- Issue
- 3
- Pages
- 908-916
- ISSN
- 0730-0301 (ISSN-L)
- 1557-7368
- OpenAlex
- W2999104210
- Cited by
- 380
- References
- 19
- FWCI
- 43.21
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
