- Boise, ID
- Boise State University
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Math Genealogy
arXiv.org
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publications
Sensitivity Analysis of a Dynamical System Using C++
D. Calhoun, Roy Overstreet, "Sensitivity Analysis of a Dynamical System Using C++", The First Annual Object-Oriented Numerics Conference (OON-SKI `93), 1993. https://www.hindawi.com/journals/sp/1993/782824/
Solving the advection-diffusion equation in irregular geometries
Donna Calhoun, Randall LeVeque, "Solving the advection-diffusion equation in irregular geometries", J. Comput. Phys., 2000. https://www.sciencedirect.com/science/article/pii/S0021999199963696
Cartesian grid methods for fluid flow in complex geometries
D. Calhoun, R. LeVeque, "Cartesian grid methods for fluid flow in complex geometries", {Computational Modeling in Biological Fluid Dynamics}, 2001. https://link.springer.com/book/10.1007/978-1-4613-0151-6
New model for the vapor growth of hexagonal ice crystals in the atmosphere
Stephen Wood, Marcia Baker, Donna Calhoun, "New model for the vapor growth of hexagonal ice crystals in the atmosphere", J. Geophys. Res-Atmos., 2001. https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/2000JD900338
A Cartesian Grid Method for Solving the Two-Dimensional Streamfunction-Vorticity Equations in Irregular Regions
Donna Calhoun, "A Cartesian Grid Method for Solving the Two-Dimensional Streamfunction-Vorticity Equations in Irregular Regions", J. Comput. Phys., 2002. https://www.sciencedirect.com/science/article/pii/S0021999101969700
An accuracy study of mesh refinement on mapped grids
Donna Calhoun, Randall LeVeque, "An accuracy study of mesh refinement on mapped grids", Adaptive Mesh Refinement - Theory and Applications, 2005. https://link.springer.com/chapter/10.1007/3-540-27039-6_6
Estimating Crown Volume through Implicit Surface Reconstruction from LIDAR Points for Forest Fire Simulation
A. Kato, D. Calhoun, G. Schreuder, P. Schiess, "Estimating Crown Volume through Implicit Surface Reconstruction from LIDAR Points for Forest Fire Simulation", {Proceedings of the American Society for Photogrammetry and Remote Sensing}, 2006. http://www.asprs.org/a/publications/proceedings/fall2006/0021.pdf
Wave propagation algorithms and adaptive mesh refinement for simulating hydrogen explosions in nuclear containment buildings
Donna Calhoun, "Wave propagation algorithms and adaptive mesh refinement for simulating hydrogen explosions in nuclear containment buildings", Commissariat l`Energie Atomique, Centre de Saclay, FRANCE, 2007.
Wave propagation algorithms and adaptive mesh refinement for CFD simulations of potential hydrogen explosions in nuclear containment structures
Donna Calhoun, Henri Paillere, "Wave propagation algorithms and adaptive mesh refinement for CFD simulations of potential hydrogen explosions in nuclear containment structures", {Proceedings of the Joint International Topical Meeting on Mathematics and Computation and Supercomputing in Nuclear Applications}, 2007. https://www.proceedings.com/01433.html
Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains
Donna Calhoun, Christiane Helzel, Randall LeVeque, "Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains", SIAM Review, 2008. http://dx.doi.org/10.1137/060664094
A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere
D. Calhoun, C. Helzel, R. LeVeque, "A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere", {Hyperbolic Problems: Theory, Numerics, Applications}, 2008. https://link.springer.com/book/10.1007/978-3-540-75712-2
A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere
D. Calhoun, C. Helzel, R. LeVeque, "A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere", {Hyperbolic Problems: Theory, Numerics, Applications}, 2008. https://link.springer.com/book/10.1007/978-3-540-75712-2
Logically rectangular finite volume methods with adaptive refinement on the sphere
Marsha Berger, Donna Calhoun, Christiane Helzel, Randall LeVeque, "Logically rectangular finite volume methods with adaptive refinement on the sphere", Phil. Trans. R. Soc. A, 2009. https://royalsocietypublishing.org/doi/10.1098/rsta.2009.0168
Using Cartesian grid cut-cell methods to simulate detonations in nuclear containment buildings
Donna Calhoun, "Using Cartesian grid cut-cell methods to simulate detonations in nuclear containment buildings", Commissariat l`Energie Atomique, Centre de Saclay, FRANCE, 2009.
Thermodynamics and transport of homogeneous air-vapor-liquid mixture through cracks in concrete
Donna Calhoun, "Thermodynamics and transport of homogeneous air-vapor-liquid mixture through cracks in concrete", Commissariat l`Energie Atomique, Centre de Saclay, FRANCE, 2009.
A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes
Donna Calhoun, Christiane Helzel, "A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes", SIAM J. Sci. Comput., 2009. https://epubs.siam.org/doi/abs/10.1137/08073322X
Capturing tree crown formation through implicit surface reconstruction using airporne lidar data
A. Kato, L. Moskal, P. Schiess, M. Swanson, D. Calhoun, W. Stuetzle, "Capturing tree crown formation through implicit surface reconstruction using airporne lidar data", Remote Sens. Environ., 2009. https://www.sciencedirect.com/science/article/pii/S0034425709000339
Efficient thermal field computation in phase-field models
Jing-Rebecca Li, Donna Calhoun, Lucien Brush, "Efficient thermal field computation in phase-field models", J. Comput. Phys., 2009. http://www.sciencedirect.com/science/article/pii/S0021999109004392
Thermodynamics and transport of homogeneous air-vapor-liquid mixture through cracks in concrete
Donna Calhoun, "Thermodynamics and transport of homogeneous air-vapor-liquid mixture through cracks in concrete", Commissariat l`Energie Atomique, Centre de Saclay, FRANCE, 2010.
Thermodynamics and transport of homogenous air-vapor-liquid mixture through cracks in concrete (Part II)
Donna Calhoun, Nadia Coulon, "Thermodynamics and transport of homogenous air-vapor-liquid mixture through cracks in concrete (Part II)", Commissariat l`Energie Atomique, Centre de Saclay, FRANCE, 2010.
ForestClaw: Hybrid forest-of-octrees AMR for hyperbolic conservation laws
Carsten Burstedde, Donna Calhoun, Kyle Mandli, Andy Terrel, "ForestClaw: Hybrid forest-of-octrees AMR for hyperbolic conservation laws", Parallel Computing : Accelerating Computational Science and Engineering (CSE), 2014. https://arxiv.org/abs/1308.1472
A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
Peter Lauritzen, Paul Ullrich, Christiane Jablonowski, Peter Bosler, Donna Calhoun, A. Conley, T. Enomoto, L. Dong, S. Dubey, O. Guba, A. Hansen, E. Kaas, J. Kent, J.-F. Lamarque, M. Prather, D. Reinert, Vladimir Shashkin, William Skamarock, B. Sorensen, Mark Taylor, M. Tolstykh, "A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes", Geosci. Model Dev., 2014. http://www.geosci-model-dev.net/7/105/2014/gmd-7-105-2014.html
Numerical simulation of diffusion MRI signals using an adaptive time-stepping method
Jing-Rebecca Ling, Donna Calhoun, Cyril Poupon, Denis Bihan, "Numerical simulation of diffusion MRI signals using an adaptive time-stepping method", Physics in Medicine and Biology, 2014. https://pubmed.ncbi.nlm.nih.gov/24351275/
SI2-SSE: GEM3D: Open-source Cartesian adaptive complex terrain atmospheric flow solver for GPU clusters
Inanc Senocak, Donna Calhoun, Elena Sherman, Grady Wright, "SI2-SSE: GEM3D: Open-source Cartesian adaptive complex terrain atmospheric flow solver for GPU clusters", Third Annual SI2 Principal Investigators (PI) Workshop, Arlington VA. (poster presentation), 2015.
Flooding Capability for River-based Scenarios
Curtis Smith, Steven Prescott, Emerald Ryan, Donna Calhoun, Ramprasad Sampath, S Anderson, "Flooding Capability for River-based Scenarios", Idaho National Laboratory Idaho Falls, 2015. https://lwrs.inl.gov/RiskInformed%20Safety%20Margin%20Characterization/Flooding_Capability_for_River-based_Scenarios.pdf
Clawpack: Building an open source ecosystem for solving hyperbolic PDEs
Kyle Mandli, Aron. Ahmadia, Marsha Berger, Donna Calhoun, David George, Yannis Hadjimichael, David Ketcheson, Grady Lemoine, Randall LeVeque, "Clawpack: Building an open source ecosystem for solving hyperbolic PDEs", Peer J Computer Science, 2016. https://peerj.com/articles/cs-68/
AMR Resources
Donna Calhoun, "AMR Resources", http://math.boisestate.edu/~calhoun/www_personal/research/amr_software/index.html, 2017. http://math.boisestate.edu/~calhoun/www_personal/research/amr_software/index.html
Book Review : Solving Hyperbolic Equations with Finite Volume Methods
Donna Calhoun, "Book Review : Solving Hyperbolic Equations with Finite Volume Methods", SIAM Review, 2017. https://epubs.siam.org/doi/10.1137/17N97429X
ForestClaw : A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees
Donna Calhoun, Carsten Burstedde, "ForestClaw : A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees", arXiv:1703.03116, 2017. https://arxiv.org/abs/1703.03116
Massively Parallel Solvers for Computational Fluid Dynamics on Multi-block Cartesian Grids
Scott Aiton, Donna Calhoun, Jaber Hasbestan, Brenton Peck, Inanc Senocak, Grady Wright, "Massively Parallel Solvers for Computational Fluid Dynamics on Multi-block Cartesian Grids", BSU Undergraduate Showcase (poster presentation), 2018.
Evaluating Active Learning with Cost and Memory Awareness
Dmitry Duplyakin, Jed Brown, Donna Calhoun, "Evaluating Active Learning with Cost and Memory Awareness", 32nd IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2018. https://ieeexplore.ieee.org/document/8425175
ForestClaw
Donna Calhoun, Carsten Burstedde, "ForestClaw", http://www.forestclaw.org, 2020. http://www.forestclaw.org
The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement
Donna Calhoun, Erik Chudzik, Christiane Helzel, "The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement", (in revision) https://arxiv.org/abs/2205.07572, 2022. https://arxiv.org/abs/2205.07572
Simulating the 1976 Teton Dam Failure using GeoClaw and HEC-RAS and Comparing with Historical Observations
Hannah Spero, Donna Calhoun, Michael Shubert, "Simulating the 1976 Teton Dam Failure using GeoClaw and HEC-RAS and Comparing with Historical Observations", Boise State University, 2022. http://arxiv.org/abs/2206.00766
students
talks
Multi-rate Runge-Kutta-Chebyschev time-stepping for parabolic equations on adaptively refined meshes
teaching
Parallel Scientific Computing (ME 471/571)
In this course, we will learn how to use parallel programming tools to solve problems in science and engineering.
Calculus I (Math 170)
This course introduces students to differentiation.
Calculus II (Math 175)
This course introduces students to integration, sequences and series.
Introduction to Programming in Mathematics (Math 265)
This course introduces students to fundamental elements of programming for mathematical applications.
Calculus III (Math 275)
This course introduces students to multivariate Calculus and vector calculus.
Introduction to Scientific Programming (Math 365)
This course introduces students to scientific computing. The emphasis on this course is on applications and using Matlab or Python to solving science and engineering problems. Less emphasis is placed on numerical algorithms.
Introduction to Complex Variables (Math 426/526)
In this course, we explore complex numbers and functions of a complex variable. Many of the ideas learned in Calculus will be revisited for complex numbers. The approach of this course will be applied, we will also discuss proofs of basic results.
Advanced Applied Mathematics for Scientists and Engineers (Math 427/527)
This course introduce advanced analytic techniques for solving equations that arise in science and engineering. Material will be taken from Chapters 5, 10, 11-14 and 17 (time permitting) of the course textbook.
Introduction to Numerical Methods (Math 465/565)
Course Content
Fundamentals of Applied Mathematics (Math 537)
Emphasis in this course is on “computational” techniques in the sense that we will solve lots of problems (not in the sense of programming). Theory will be presented when it is especially beautiful or enlightening, and has a useful purpose. For example, Sturm-Liouville Theory, Potential Theory. Students may be asked to using plotting packages (Matlab, Python) to plot solutions to problems posed in class, but numerical methods will not be discussed in this course, except in passing.
Numerical Linear Algebra (Math 566)
Numerical solution to linear systems.
Numerical Methods for Differential Equations (Math 567)
This course will introduces students to methods for solving partial differential equations (PDEs) using finite difference methods.