Christopher M. Kuster

Works (5)

Updated: July 5th, 2023 15:57

2007 article

A study of numerical methods for the level set approach

APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 837–846.

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

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

2007 journal article

Fast numerical methods for Bernoulli free boundary problems

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 29(2), 622–634.

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

author keywords: Bernoulli; free boundary; level set; boundary elements
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 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
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 journal article

Computational study of fast methods for the eikonal equation

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27(6), 1803–1816.

By: P. Gremaud n & C. Kuster n

author keywords: Hamilton-Jacobi; eikonal; viscosity solution; fast marching; fast sweeping
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 journal article

Volume determination for bulk materials in bunkers

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 61(13), 2239–2249.

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
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11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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