Papers and Software

Solving Regularly and Singularly Perturbed Reaction-Diffusion Equations in Three Space Dimensions, Peter K. Moore, preprint

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Localized Patterns in Homogeneous Networks of Diffusively Coupled Reactors, Peter K. Moore and Werner Horsthemke, preprint.

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Effects of basis selection and h-refinement on error estimator reliability and solution efficiency for high-order methods in three space dimensions,  Peter K. Moore, preprint.

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Implicit interpolation error-based error estimation for seminlinear elliptic and parabolic equations in two space dimensions,
Peter K. Moore, preprint

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An implicit interpolation error-based error estimation strategy for hp-adaptivity, Peter K. Moore, preprint

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An incomplete assembly with thresholding algorithm for systems of reaction-diffusion equations in three space dimensions,
Peter K. Moore, preprint

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Interpolation error-based a posteriori error estimation in three dimensions: a first step,  Peter K. Moore, preprint

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Interpolation error-based a posteriori error estimation for p-refinement using first and second derivative jumps,  Peter K. Moore,
preprint

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Applications of Lobatto polynomials to an adaptive finite element method: estimating solution derivatives and grid-to-grid interpolation,  Peter K. Moore, preprint

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Interpolation error-based a posteriori error estimation for two-point boundary value problems and parabolic equations in one space dimension,  Peter K. Moore, preprint

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An adaptive h-refinement finite element method for reaction-diffusions systems in three space dimensions, Peter K. Moore, preprint.

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An adaptive h-refinement finite element method for parabolic differential systems: some  algorithmic considerations in solving in three space dimensions,Peter K. Moore, preprint.

 Abstract  Postscript version Combustion movie BZ movieFitzhugh-Nagumo Movie

 Finite difference methods and spatial a posteriori error estimates for solving parabolic equations in three space dimensions on grids with irregular nodes,  Peter K. Moore, preprint.

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Regularization of index-one differential-algebraic equations with rank-deficient constraints,   Peter K. Moore, Linda R. Petzold, and Yuhe Ren,  Comput. Math. Appl., 1998.

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A comparison of preconditioners in the solution of parabolic systems using DASPK and a high order finite element method, Peter K. Moore and Robert H. Dillon, Appl. Numer. Meth., 1996.

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SOFTWARE

 1D Code