Systems of Partial Differential Equations in ExaSlang

Schmitt C, Kuckuk S, Hannig F, Teich J, Köstler H, Rüde U, Lengauer C (2016)


Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2016

Journal

Publisher: Springer

Edited Volumes: Software for Exascale Computing - SPPEXA 2013-2015

Series: Lecture Notes in Computational Science and Engineering

City/Town: Berlin, Heidelberg, New York

Book Volume: 113

Pages Range: 47-67

ISBN: 9783319405261

DOI: 10.1007/978-3-319-40528-5_3

Open Access Link: https://www.springerprofessional.de/systems-of-partial-differential-equations-in-exaslang/10701310

Abstract

As HPC systems are becoming increasingly heterogeneous and diverse, writing software that attains maximum performance and scalability while remaining portable as well as easily composable is getting more and more challenging. Additionally, code that has been aggressively optimized for certain execution platforms is usually not easily portable to others without either losing a great share of performance or investing many hours by re-applying optimizations. One possible remedy is to exploit the potential given by technologies such as domain-specific languages (DSLs) that provide appropriate abstractions and allow the application of technologies like automatic code generation and auto-tuning. In the domain of geometric multigrid solvers, project ExaStencils follows this road by aiming at providing highly optimized and scalable numerical solvers, specifically tuned for a given application and target platform. Here, we introduce its DSL ExaSlang with data types for local vectors to support computations that use point-local vectors and matrices. These data types allow an intuitive modeling of many physical problems represented by systems of partial differential equations (PDEs), e.g., the simulation of flows that include vector-valued velocities.

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How to cite

APA:

Schmitt, C., Kuckuk, S., Hannig, F., Teich, J., Köstler, H., Rüde, U., & Lengauer, C. (2016). Systems of Partial Differential Equations in ExaSlang. In Software for Exascale Computing - SPPEXA 2013-2015. (pp. 47-67). Berlin, Heidelberg, New York: Springer.

MLA:

Schmitt, Christian, et al. "Systems of Partial Differential Equations in ExaSlang." Software for Exascale Computing - SPPEXA 2013-2015. Berlin, Heidelberg, New York: Springer, 2016. 47-67.

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