Christopher M. Kuster

Works (5)

Updated: July 5th, 2023 15:57

2007 article

Fast Numerical Methods for Bernoulli Free Boundary Problems

Kuster, C. M., Gremaud, P. A., & Touzani, R. (2007, January 1). SIAM Journal on Scientific Computing.

By: C. Kuster*, P. Gremaud* & R. Touzani *

author keywords: Bernoulli; free boundary; level set; boundary elements
topics (OpenAlex): Numerical methods in engineering; Advanced Numerical Methods in Computational Mathematics; Electromagnetic Simulation and Numerical Methods
TL;DR: The numerical solution of the free boundary Bernoulli problem is addressed and an iterative method based on a level-set formulation and boundary element method is proposed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 article

A study of numerical methods for the level set approach

Gremaud, P. A., Kuster, C. M., & Li, Z. (2006, August 15). Applied Numerical Mathematics, Vol. 57, pp. 837–846.

By: P. Gremaud n, C. Kuster n & Z. Li n 

topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Advanced Numerical Analysis Techniques; Computational Geometry and Mesh Generation
TL;DR: Two types of reinitialization methods are studied: a high order ''PDE'' approach and a second order Fast Marching method, with emphasis on the tube/narrow band implementation and accuracy considerations. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2006 journal article

Communicating Applied Mathematics: Four Examples

SIAM Review, 48(2), 359–389.

By: D. Finkel, C. Kuster*, M. Lasater, R. Levy* , J. Reese* & I. Ipsen* 

Contributors: D. Finkel, C. Kuster*, M. Lasater, R. Levy* , J. Reese* & I. Ipsen* 

author keywords: education; mathematical writing; presentations; audience; peer critique
topics (OpenAlex): Heat Transfer and Optimization; Fluid dynamics and aerodynamics studies; Scientific Research and Discoveries
TL;DR: A water-supply problem considered by the optimization and hydrology communities for benchmarking purposes is introduced and a nonclassical shock wave previously unknown to exist in thin liquid films is discovered. (via Semantic Scholar)
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4. Quality Education (OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries, Crossref
Added: August 6, 2018

2006 article

Computational Study of Fast Methods for the Eikonal Equation

Gremaud, P. A., & Kuster, C. M. (2006, January 1). SIAM Journal on Scientific Computing.

By: P. Gremaud n & C. Kuster n

author keywords: Hamilton-Jacobi; eikonal; viscosity solution; fast marching; fast sweeping
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Numerical methods for differential equations; Computational Fluid Dynamics and Aerodynamics
TL;DR: A computational study of the fast marching and the fast sweeping methods for the eikonal equation and fully second order generalizations of methods of this type for problems with obstacles are proposed and implemented. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2004 article

Volume determination for bulk materials in bunkers

Ahmed, S. A., Buckingham, R., Gremaud, P. A., Hauck, C. D., Kuster, C. M., Prodanovic, M., … Silantyev, V. (2004, October 18). International Journal for Numerical Methods in Engineering.

By: S. Ahmed *, R. Buckingham*, P. Gremaud n, C. Hauck *, C. Kuster n, M. Prodanovic *, T. Royal, V. Silantyev*

author keywords: granular; eikonal formulation; ordered upwind methods
topics (OpenAlex): Geotechnical Engineering and Soil Mechanics; Soil and Unsaturated Flow; Granular flow and fluidized beds
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11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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