Thomas Kunkle

College of Charleston

Affiliations

College of Charleston

Department Of Mathematics

School Of Science And Mathematics

NoneThomas Kunkle is currently serving as a College Of Charleston faculty at College of Charleston.

Honors

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Education

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Thomas Kunkle

College of Charleston

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applied mathematics computational mathematics numerical analysis numerical mathematics mathematics abstract and applied analysis numerical algorithms partial differential equations approximation theory difference equations nonlinear analysis geometric interpolation interpolation spaces spline (mathematics) mathematical analysis boundary value problems scientific computing multivariate approximation curve fitting multivariate differences statistics computational geometry computational mechanics mathematical programming computer-aided design statistical methodology spectral theory computational statistics numerical computation lattice theory variational analysis lattice (order) curve modeling grid system singularly perturbed problem ring theory commutative algebra projection systems interpolation problem lagrange interpolation exponential box-like splines flat extension

Notable Scholarly Works

Notable Federal Grants

Collaborators

Flat Extension and Ideal Projection. Journal of Symbolic Computation (2017)

ring theoryprojection systemsflat extensioncommutative algebra

Favard’s Interpolation Problem in One or More Variables. Constructive Approximation (2002)

partial differential equationsapproximation theorycomputational mathematicsnumerical computationmathematical programmingabstract and applied analysisnumerical algorithmsinterpolation spacesnumerical mathematicsboundary value problemsapplied mathematicsgeometric interpolationnumerical analysisinterpolation problem

Characterizations of Multivariate Differences and Associated Exponential Splines. Journal of Approximation Theory (2000)

multivariate differencesstatisticsmultivariate approximationdifference equationsstatistical methodologyspline (mathematics)abstract and applied analysisspectral theorycurve fittingapplied mathematicsapplied statisticsdifferential equationscomputational statistics

Exponential Box-Like Splines on Nonuniform Grids. Constructive Approximation (1999)

numerical analysiscomputer-aided designexponential box-like splinesapplied mathematicscomputational mathematicsspline (mathematics)scientific computingnumerical algorithmsnumerical mathematicsgrid systemcurve modelingcomputational mechanicsmathematicsgeometric modelingnonlinear analysiscomputational geometry

Multivariate Differences, Polynomials, and Splines. Journal of Approximation Theory (1996)

multivariate differencesmultivariate approximationdifference equationscomputational mathematicsspline (mathematics)abstract and applied analysiscurve fittingnumerical mathematicsapplied mathematicsmathematicsnumerical analysisnonlinear analysis

Using Quasi-Interpolants in a Result of Favard. Birkhäuser Boston eBooks (1994)

partial differential equationsmathematical analysisgeometric interpolationapproximation theorycomputational mathematicssingularly perturbed problemscientific computingnumerical algorithmsinterpolation spacesnumerical mathematicsboundary value problemsapplied mathematicsmathematicsnumerical analysisnonlinear analysis

Lagrange Interpolation on a Lattice: Bounding Derivatives by Divided Differences. Journal of Approximation Theory (1992)

partial differential equationsmathematical analysisgeometric interpolationlattice (order)lagrange interpolationapproximation theorydifference equationscomputational mathematicsvariational analysisabstract and applied analysisnumerical algorithmsinterpolation spacesnumerical mathematicsapplied mathematicsmathematicsnumerical analysislattice theory