Solving the complex problems the world currently faces—from human diseases such as breast cancer to such environmental concerns as global warming—requires deep knowledge of each problem’s nature and numerous tools, perspectives, and expertise, including applied mathematical and statistical modeling and computational methods.
The Department of Applied and Computational Mathematics and Statistics (ACMS) supports a collaborative approach to research by preparing and empowering students and faculty with deep domain knowledge in mathematics and statistics to apply their expertise in a variety of fields, which opens opportunities to transcend traditional disciplinary boundaries to impact critical problems in the natural and social sciences, technology, and beyond.
Students may pursue undergraduate or graduate degrees in ACMS; both offer the chance to work with interdisciplinary research teams that push the edges of innovation—projects like Clinical Prognostic Test for Metastasis in Breast Cancer, Integrating Multiscale Modeling and in vivo Experiments for Studying Blood Clot Development, and Multiscale Stochastic Model of Bruising.
Featured Research
Mathematical and Computational Biology
Multiscale modeling, using a combination of discrete stochastic systems and differential equations, of biomedical problems including blood clot formation, spread of infection, development and cancer.
ACMS Faculty: Alber, Buechler, Hu, Sommese, Xu, Zhang
Numerical Differential Equations
The design, efficient implementation, and analysis of numerical methods for solving differential equations arising in science and engineering.
ACMS Faculty: Alber, Hu, Sommese, Xu, Zhang
Numerical Algebraic Geometry
The discovery, implementation, and application of algorithms to numerically compute and manipulate the solution sets of systems of polynomials.
ACMS Faculty: Sommese
Bioinformatics and Biostatistics
The application of statistical and computational methods to biological and medical data to model, analyze, and predict biological processes.
ACMS Faculty: Buechler
Applied Partial Differential Equations
Modeling and analysis using partial differential equations tools and theories to study real-world problems arising from the natural and social sciences and engineering.
ACMS Faculty: Alber, Hu, Sommese, Zhang
Scientific Computing
The construction and implementation of mathematical algorithms to run on large parallel high-performance computers and their application to problems in science, engineering, and social science.
ACMS Faculty: Alber, Buechler, Hu, Sommese, Xu, Zhang
Recent News
Notre Dame Researchers Publish New Findings on Aging Pediatric Bruises
April 25, 2012
Notre Dame Researchers Publish New Findings on Aging Pediatric Bruises
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