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Journal of Computational Physics, ISSN 0021-9991, 07/2018, Volume 365, pp. 149 - 172
We study the problem of reconstructing a function on a manifold satisfying some mild conditions, given data of the values and some derivatives of the function... 
Diffusion polynomials | Minimum Sobolev norm | Birkhoff interpolation | Data-defined manifolds | POLYNOMIALS | ELLIPTIC DIFFERENTIAL-OPERATORS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | APPROXIMATION | SPHERE | MULTIVARIATE BIRKHOFF INTERPOLATION | MANIFOLDS | PHYSICS, MATHEMATICAL | Numerical analysis
Journal Article
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 01/2016, Volume 270, Issue 2, pp. 671 - 704
.... In this paper we suggest a general approach based on the K-functional of real interpolation that provides a unifying framework of existing theories and extend the range of applications of taut strings... 
Invariant K-minimal sets | Real interpolation | Taut strings | Invariant k-minimal sets | MATHEMATICS
Journal Article
International Journal of Geographical Information Science, ISSN 1365-8816, 11/2016, Volume 30, Issue 11, pp. 2109 - 2132
Journal Article
Geophysical Journal International, ISSN 0956-540X, 06/2012, Volume 189, Issue 3, pp. 1353 - 1360
SUMMARY We regard the gridding of aeromagnetic data as a geophysical estimation problem and propose to use the inverse interpolation method for gridding aeromagnetic data... 
Spatial analysis | Magnetic anomalies: modelling and interpretation | Numerical approximations and analysis | MINIMUM CURVATURE | GEOCHEMISTRY & GEOPHYSICS | SPLINE | POTENTIAL-FIELD DATA | GEOPHYSICAL-ESTIMATION PROBLEMS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 09/2013, Volume 249, pp. 96 - 112
.... We prove that the solution of an appropriate optimization problem leads to such an interpolant. Numerical examples are given to demonstrate that this procedure overcomes the Runge phenomenon when interpolation at equidistant nodes on [-1,1... 
Multivariate interpolation | Localized kernels | Minimum Sobolev norm interpolation | Uniformly bounded interpolatory operators | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | APPROXIMATION | PHYSICS, MATHEMATICAL | Interpolation | Construction | Approximation | Mathematical analysis | Norms | Mathematical models | Polynomials | Optimization
Journal Article
Journal of Chemical Theory and Computation, ISSN 1549-9618, 12/2012, Volume 8, Issue 12, pp. 5020 - 5034
A quasi-continuous interpolation (QCI) scheme is introduced for characterizing physically realistic initial pathways from which to initiate transition state searches and construct kinetic transition networks... 
LENNARD-JONES CLUSTERS | PROTEIN CONFORMATIONAL TRANSITIONS | ADENYLATE KINASE | TARGETED MOLECULAR-DYNAMICS | MINIMUM ENERGY PATHS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | FINDING SADDLE-POINTS | CHEMISTRY, PHYSICAL | FORCE-FIELD | NORMAL-MODE ANALYSIS | POTENTIAL-ENERGY | ELASTIC-NETWORK MODEL
Journal Article
ISA Transactions, ISSN 0019-0578, 11/2018, Volume 82, pp. 163 - 171
Image super-resolution using self-optimizing mask via fractional-order gradient interpolation and reconstruction aims to recover detailed information from low-resolution images and reconstruct... 
Fractional-order | Super-resolution | Image processing | Gradient interpolation | Minimum energy function | INSTRUMENTS & INSTRUMENTATION | ENGINEERING, MULTIDISCIPLINARY | TOTAL-VARIATION REGULARIZATION | QUALITY ASSESSMENT | AUTOMATION & CONTROL SYSTEMS | Equipment and supplies
Journal Article
Journal of Approximation Theory, ISSN 0021-9045, 02/2017, Volume 214, pp. 49 - 68
.... The Lagrange interpolation polynomials on the nodes of the near minimal cubature rules are also studied. 
Lebesgue constant | Two variables | Cubature | Polynomial interpolation | Minimal cubature | MATHEMATICS | ORTHOGONAL POLYNOMIALS | WEIGHT-FUNCTIONS | FORMULAS
Journal Article
Analysis and PDE, ISSN 2157-5045, 2018, Volume 12, Issue 2, pp. 561 - 604
.... Our result also ensures jet-interpolation of given finite order, and hence, in particular, one may in addition prescribe the values of the generalized Gauss map... 
Oka manifold | Weierstrass theorem | Directed holomorphic curve | Minimal surface | Riemann surface | MATHEMATICS | minimal surface | directed holomorphic curve | MATHEMATICS, APPLIED | APPROXIMATION | NULL CURVES | COMPACT-SETS
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 2/2019, Volume 58, Issue 1, pp. 1 - 20
...Calc. Var. (2019) 58:21 https://doi.org/10.1007/s00526-018-1465-0 Calculus of Variations Interpolation and optimal hitting for complete minimal surfaces... 
53A10 | 30D30 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | 32E30 | Analysis | Theoretical, Mathematical and Computational Physics | 52C42 | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | CURVES
Journal Article