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1. Radial basis functions
: theory and implementations
by Buhmann, M. D. 1963- (Martin Dietrich)
2003, Cambridge monographs on applied and computational mathematics, ISBN 9780521633383, Volume 12, x, 259
Radial basis functions
Book
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2. Full Text Stable computations with gaussian radial basis functions
by Fornberg, Bengt and Larsson, Elisabeth and Flyer, Natasha
SIAM journal on scientific computing, ISSN 1064-8275, 2011, Volume 33, Issue 2, pp. 869 - 892
Radial basis function | Ill-conditioning | Shape parameter | Stable | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical approximation | Numerical analysis. Scientific computation | Algebra | Linear and multilinear algebra, matrix theory | Numerical analysis | Mathematical analysis | Approximations and expansions | Exact sciences and technology | Methods of scientific computing (including symbolic computation, algebraic computation) | Sciences and techniques of general use | Studies | Approximation | Normal distribution | Dimensional analysis | Obstacles | Algorithms | Computation | Tools | Two dimensional | Matlab | Three dimensional
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3. A primer on radial basis functions with applications to the geosciences
by Fornberg, Bengt and Flyer, Natasha, author
2015, CBMS-NSF regional conference series in applied mathematics, ISBN 9781611974027, Volume 87, x, 221
Geology | Radial basis functions | Mathematical models
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4. Full Text Radial basis function approximations: comparison and applications
by Majdisova, Zuzana and Skala, Vaclav
Applied mathematical modelling, ISSN 0307-904X, 11/2017, Volume 51, pp. 728 - 743
Radial basis function | Approximation | Lagrange multipliers | RBF | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Computer memory | Tessellation | Lagrange multiplier | Basis functions | Applied mathematics | Mathematical analysis
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5. Full Text Stable computations with flat radial basis functions using vector-valued rational approximations
by Wright, Grady B and Fornberg, Bengt
Journal of computational physics, ISSN 0021-9991, 02/2017, Volume 331, pp. 137 - 156
Rational approximation | RBF-HFD | Common denominator | Contour-Padé | RBF | RBF-QR | Shape parameter | Ill-conditioning | RBF-FD | RBF-GA | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Usage | Algorithms | Approximation | Singularities | Basis functions | Analytic functions | Ill-conditioning (mathematics) | Experiments | Radial basis function | Accuracy | Algebra | Robustness (mathematics) | Computation | Mathematical analysis | Spherical shells | Conditioning | Mathematics - Numerical Analysis
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6. Full Text Radial basis function network using Lambert–Tsallis Wq function
by da Silva, J.L.M and Mendes, F.V and Ramos, R.V
Physica A, ISSN 0378-4371, 11/2019, Volume 534, p. 122168
Quantum relative disentropy | Lambert–Tsallis [formula omitted] function | Radial basis function network
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7. Full Text Enhancing finite differences with radial basis functions: Experiments on the Navier–Stokes equations
by Flyer, Natasha and Barnett, Gregory A and Wicker, Louis J
Journal of computational physics, ISSN 0021-9991, 07/2016, Volume 316, pp. 39 - 62
Navier–Stokes | Radial basis functions | RBF-FD | Polynomials | Splines | Finite differences | Navier-Stokes | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Weather | Atmospheric research | Storms | Fluid dynamics | Numerical weather forecasting | Analysis | Radial basis function | Mathematical analysis | Mathematical models | Inclusions | Tuning | Navier-Stokes equations | Matlab
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8. Full Text Seismic modeling with radial basis function-generated finite differences (RBF-FD) – a simplified treatment of interfaces
by Martin, Bradley and Fornberg, Bengt
Journal of computational physics, ISSN 0021-9991, 04/2017, Volume 335, pp. 828 - 845
Wave equation | Curved interfaces | RBF-FD | High order | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Parameters | Basis functions | Numerical methods | Wave equations | Integrators | Elastic waves | Model accuracy | Studies | Finite element method | Radial basis function | Numerical analysis | Meshless methods | Finite element analysis | Linear equations | ELASTICITY | WAVE EQUATIONS | D WAVES | INTERFACES | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY | TWO-DIMENSIONAL CALCULATIONS | ACCURACY | COMPUTERIZED SIMULATION | RUBIDIUM FLUORIDES
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9. Full Text Advantages of Radial Basis Function Networks for Dynamic System Design
by Hao Yu and Tiantian Xie and Paszczynski, S and Wilamowski, B. M
IEEE transactions on industrial electronics (1982), ISSN 0278-0046, 12/2011, Volume 58, Issue 12, pp. 5438 - 5450
Algorithm design and analysis | Training | fuzzy inference systems | Radial basis function networks | neural networks | Approximation algorithms | radial basis function (RBF) networks | Classification algorithms | Approximation methods | Adaptive control | online learning | Usage | Control systems | Design and construction | Pattern recognition | Fuzzy logic | Industrial electronics | Technology application | Neural networks | Approximation theory | Fuzzy algorithms | Object recognition (Computers) | Methods | Fuzzy systems | Radial basis function | Design engineering | Networks | Noise | On-line systems | Tolerances
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10. Full Text Unified fluid–structure interpolation and mesh motion using radial basis functions
by Rendall, T. C. S and Allen, C. B
International journal for numerical methods in engineering, ISSN 0029-5981, 06/2008, Volume 74, Issue 10, pp. 1519 - 1559
compactly supported functions | flutter | mesh motion | aeroelasticity | fluid–structure interpolation | radial basis functions | information transfer | multivariate interpolation | Multivariate interpolation | Fluid-structure interpolation | Radial basis functions | Compactly supported functions | Information transfer | Flutter | Aero-elasticity | Mesh motion | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology | Solid mechanics | Fundamental areas of phenomenology (including applications) | Structural and continuum mechanics | Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) | Mathematical methods in physics | Exact sciences and technology | Computational techniques | General | Physics | Static elasticity (thermoelasticity...)
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11. Full Text Optimal Weighted Pointwise Ensemble of Radial Basis Functions with Different Basis Functions
by Liu, Haitao and Xu, Shengli and Wang, Xiaofang and Meng, Jigang and Yang, Shuhua
AIAA journal, ISSN 0001-1452, 10/2016, Volume 54, Issue 10, pp. 3117 - 3133
Engineering | Engineering, Aerospace | Technology | Science & Technology | Usage | Computer-generated environments | Computer simulation | Blades | Aerodynamics | Compressors | Research | Radial basis function | Turbocompressors | Interpolation | Compressor blades | Robustness (mathematics) | Mathematical analysis | Metamodels | Weighting functions
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12. Full Text Hybrid Gaussian-cubic radial basis functions for scattered data interpolation
by Mishra, Pankaj K and Nath, Sankar K and Sen, Mrinal K and Fasshauer, Gregory E
Computational geosciences, ISSN 1420-0597, 10/2018, Volume 22, Issue 5, pp. 1203 - 1218
Multivariate interpolation | Radial basis function | Particle swarm optimization | Spatial data analysis | Geosciences, Multidisciplinary | Physical Sciences | Computer Science, Interdisciplinary Applications | Geology | Technology | Computer Science | Science & Technology | Usage | Information management | Mathematical optimization | Analysis | Geospatial data | Differential equations | Shape | Basis functions | Partial differential equations | Methodology | Kriging interpolation | Coefficients | Optimization | Finite element method | Swarm intelligence | Mathematical models | Conditioning | Shape functions | Stability | Statistical analysis | Parameters | Numerical methods | Geostatistics | Data processing | Data | Equations | Interpolation | Neural networks | Meshless methods | Data sets | Mathematics - Numerical Analysis
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13. Full Text PetRBF — A parallel O( N) algorithm for radial basis function interpolation with Gaussians
by Yokota, Rio and Barba, L.A and Knepley, Matthew G
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2010, Volume 199, Issue 25, pp. 1793 - 1804
Domain decomposition methods | Radial basis function interpolation | Parallel computing | gmres | Order- N algorithms | Particle methods | Order-N algorithms | Gmres | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Exact sciences and technology | Computational techniques | Computer systems and distributed systems. User interface | Physics | Sciences and techniques of general use | Computer science; control theory; systems | Numerical analysis. Scientific computation | Mathematical methods in physics | General | Applied sciences | Methods of scientific computing (including symbolic computation, algebraic computation) | Software | Mechanical engineering | Analysis | Algorithms | Interpolation | Basis functions | Computer simulation | Gaussian | Mathematical models | Iterative methods | Processors
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14. Full Text Construction of Global Lyapunov Functions Using Radial Basis Functions
by Giesl, Peter
2007, Lecture Notes in Mathematics, ISBN 3540699074, Volume 1904
Approximations and Expansions | Mathematics | Ordinary Differential Equations | Dynamical Systems and Ergodic Theory | Mathematics and Statistics
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