New Report on Research and Education in Computational Science and Engineering
![CSE is at the intersection of mathematics and statistics, computer science, and core disciplines from the sciences and engineering. This combination gives rise to a new field whose character is different from its original constituents. Image credit: [1].](/media/q4enx05w/figure-1.jpg)
Over the past two decades, computational science and engineering (CSE) has become an increasingly important part of research in academia, industry, and laboratories. Mathematics-based advanced computing is now a prevalent means of discovery and innovation in essentially all areas of science, engineering, technology, and society, and the CSE community is at the core of this transformation. SIAM has been a driving force in this development by hosting the Activity Group on Computational Science and Engineering (SIAG/CSE), organizing the biennial flagship SIAM Conference on CSE, and publishing the SIAM Journal on Scientific Computing – one of the top journals in the field. A 2001 report, Graduate Education in Computational Science and Engineering by the SIAM Working Group on CSE Education [2], has helped to define the role and scope of CSE during the past two decades. However, a combination of disruptive developments—including the architectural complexity of extreme-scale computing, the planet’s ongoing data revolution, and the penetration of mathematically-based CSE methodology into more and more fields—is currently redefining CSE’s reach.
![The CSE pipeline, from physical problem to model and algorithms to efficient implementation in simulation software, with verification and validation driven by data. The pipeline is actually a loop that requires multiple feedbacks. Image credit: [1]](/media/2p2lntet/figure2.jpg)
While CSE is rooted in the mathematical and statistical sciences, computer science, the physical sciences, and engineering, today it increasingly pursues its own unique research agenda. The field is now widely recognized as an essential cornerstone that drives scientific and technological progress in conjunction with theory and experiment. Scientific experimentation and theory, the classical paradigms of the scientific method, both strive to describe the physical world. However, high-fidelity predictive capabilities can often be realized only by numerical computation. CSE’s overarching goal of achieving truly predictive scientific capabilities is its distinguishing factor. It accomplishes this through advances that combine modeling, numerical analysis, algorithms, simulation, big data analytics, high performance computing, and scientific software. The development of predictive capabilities lies at the core of CSE as a new discipline in its own right and has already impacted a number of disciplines, including but not limited to simulation-based design in the automotive industry, simulation-based decisions in computational medicine, and simulation-based predictions of global climate. It is also set to catalyze fundamental changes in many more areas of technical, economic, societal, and political decision processes.

A new report, titled Research and Education in Computational Science and Engineering [1], analyzes the current status of CSE and the aforementioned new developments. The report, available in preprint form and on the SIAG/CSE wiki page, summarizes the status of CSE as an emerging discipline and presents the field’s trends and challenges in research and education for the next decade. The report is based on the outcomes of a 2014 workshop sponsored by SIAM and the European Exascale Software Initiative, a minisymposium and a panel discussion held during the 2015 SIAM Conference on CSE, as well as feedback from the CSE community collected over the past two years. Despite CSE’s fundamental importance, the report finds that many current institutional structures do not adequately reflect the needs of the discipline. Examples of barriers preventing CSE advancement include a dearth of appropriate interdisciplinary structures at universities and funding institutions, lack of recognition for the important role of scientific software, and institutional challenges in creating suitable educational programs. The new report elaborates on these arguments in detail and reveals the following central findings:
- CSE has matured to a discipline in its own right.
- Computational algorithms lie at the core of CSE progress, and scientific software, which codifies and organizes algorithmic models of reality, is the primary means of encapsulating CSE research to enable advances in scientific and engineering understanding.
- CSE methods and techniques are essential to capitalize on the rapidly-growing ubiquitous availability of scientific and technological data.
The report also highlights a number of specific CSE “success stories” – application examples in which CSE research is significantly impacting the real world. These accounts emphasize both the long-term payoff of investment in fundamental CSE research and the criticality of sustaining that investment to leverage current and future opportunities—as articulated in the report’s recommendations—for CSE research and education over the next decade.
References
[1] Rüde, U., Willcox, K., McInnes, L.C., De Sterck, H., Biros, G., Bungartz, H., Corones, J., Cramer, E., Crowley, J., Ghattas, O., Gunzburger, M., Hanke, M., Harrison, R., Heroux, M., Hesthaven, J., Jimack, P., Johnson, C., Jordan, K.E., Keyes, D.E., Krause, R., Kumar, V., Mayer, S., Meza, J., Mørken, K.M., Oden, J.T., Petzold, L., Raghavan, P., Shontz, S.M., Trefethen, A., Turner, P., Voevodin, V., Wohlmuth, B., & Woodward, C.S. (2016). Research and Education in Computational Science and Engineering. Preprint, arXiv.org. https://arxiv.org/abs/1610.02608.
[2] SIAM Working Group on CSE Education. (2001). Graduate Education in Computational Science and Engineering. SIAM Review, 43(1), 163-177. http://dx.doi.org/10.1137/S0036144500379745.
About the Authors
Ulrich Rüde
University of Erlangen-Nürnberg
Ulrich Rüde heads the chair for simulation at the University of Erlangen-Nürnberg and is leader of the Parallel Algorithms Project at the Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS) in Toulouse. He is a SIAM Fellow.
Karen E. Willcox
Director, Oden Institute for Computational Engineering and Sciences
Karen E. Willcox is director of the Oden Institute for Computational Engineering and Sciences, Associate Vice President for Research, and a professor of aerospace engineering and engineering mechanics at the University of Texas at Austin. She is also an external professor at the Santa Fe Institute and a SIAM Fellow.

Lois Curfman McInnes
Senior Computational Scientist, Argonne National Laboratory
Lois Curfman McInnes is a senior computational scientist and Argonne Distinguished Fellow in the Mathematics and Computer Science Division at Argonne National Laboratory. Her work focuses on high-performance scientific computing, with an emphasis on scalable numerical libraries and community collaboration towards productive and sustainable software ecosystems. She served as chair of the SIAM Activity Group on Supercomputing from 2022-2023.
Hans De Sterck
Professor, University of Waterloo
Hans De Sterck is a professor of applied mathematics at the University of Waterloo. He is the editor-in-chief of the SIAM Journal on Scientific Computing and director of Waterloo’s Centre for Computational Mathematics in Industry and Commerce. His research focuses on numerical methods for computational science and data science.
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