2010, ISBN 9780691142128, xii, 125

The@ first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC...

Stochastic differential equations | Approximation theory | Stochastic processes | Numerical solutions | Probabilities | Spectral theory (Mathematics) | Technology | Mathematics | Stochastic differential equations-Numerical solutions

Stochastic differential equations | Approximation theory | Stochastic processes | Numerical solutions | Probabilities | Spectral theory (Mathematics) | Technology | Mathematics | Stochastic differential equations-Numerical solutions

Book

1987, ISBN 9780444427656, xvi, 613

Book

2006, Condensed matter physics, nanoscience and mesoscopic physics, ISBN 0521815916, Volume 9780521815918, xxii, 348

.... This 2006 graduate textbook describes the main theoretical approaches and computational techniques, from the simplest approximations to the most sophisticated methods...

Density functionals | Condensed matter | Computer simulation | Hartree-Fock approximation

Density functionals | Condensed matter | Computer simulation | Hartree-Fock approximation

Book

2013, 2013, Applied and numerical harmonic analysis, ISBN 0817684026, xvi, 326

Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging...

Spherical functions | Fourier analysis | Approximation theory | Numerical analysis | Wavelets (Mathematics) | Spline theory | Mathematical Methods in Physics | Fourier Analysis | Special Functions | Numerical Analysis | Approximations and Expansions | Mathematics | Mathematics and Statistics

Spherical functions | Fourier analysis | Approximation theory | Numerical analysis | Wavelets (Mathematics) | Spline theory | Mathematical Methods in Physics | Fourier Analysis | Special Functions | Numerical Analysis | Approximations and Expansions | Mathematics | Mathematics and Statistics

Book

2015, UNITEXT, ISBN 9783319154305, Volume 92, 305

This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs...

eBook

2010, ISBN 981429165X, xxi, 238

Book

2014, De Gruyter studies in mathematics, ISBN 9783110329674, Volume 56, 57., 2 v.

Book

Abstract and applied analysis, ISSN 1085-3375, 12/2016, Volume 2016

We derive a new class of linear multistep methods (LMMs) via the interpolation and collocation technique...

Boundary value problems | Analysis | Approximation theory | Accuracy | Partial differential equations | Efficiency | Ordinary differential equations | Boundary conditions | Methods

Boundary value problems | Analysis | Approximation theory | Accuracy | Partial differential equations | Efficiency | Ordinary differential equations | Boundary conditions | Methods

Journal Article

Advances in water resources, ISSN 0309-1708, 09/2017, Volume 107, pp. 22 - 31

•Capillary pressure–saturation curves were constructed for granular materials.•The pore morphology method was compared to the pore unit assembly method...

Pore unit assembly | Particle size distribution | Pore morphology | Discrete element method | Capillary pressure–saturation curve | Water Science and Technology | Water Resources | Physical Sciences | Science & Technology | Analysis | Methods | Hydrogeology | Particle size | Size distribution | Two phase flow | Approximation | Multiphase flow | Methodology | Mud-water interfaces | Porous materials | Saturation | Materials | Spheres | Pressure | Porous media | Thickness | Capillarity | Mathematical analysis | Granular materials | Morphology | Capillary pressure | Inkjet printing | Porosity | Assembly

Pore unit assembly | Particle size distribution | Pore morphology | Discrete element method | Capillary pressure–saturation curve | Water Science and Technology | Water Resources | Physical Sciences | Science & Technology | Analysis | Methods | Hydrogeology | Particle size | Size distribution | Two phase flow | Approximation | Multiphase flow | Methodology | Mud-water interfaces | Porous materials | Saturation | Materials | Spheres | Pressure | Porous media | Thickness | Capillarity | Mathematical analysis | Granular materials | Morphology | Capillary pressure | Inkjet printing | Porosity | Assembly

Journal Article

The Annals of statistics, ISSN 0090-5364, 06/2008, Volume 36, Issue 3, pp. 1171 - 1220

We review machine learning methods employing positive definite kernels. These methods formulate learning and estimation problems in a reproducing kernel Hilbert space (RKHS...

Approximation | Machine learning | Dot product of vectors | Hilbert spaces | Principal components analysis | Mathematical vectors | Mathematical functions | Mathematics | Learning theory | Modeling | Support vector machines | Graphical models | Reproducing kernels | Statistics & Probability | Physical Sciences | Science & Technology | Studies | Linear programming | Algorithms | Nonlinear programming | Estimating techniques | Artificial intelligence | support vector machines | 68T05 | reproducing kernels | graphical models | 30C40

Approximation | Machine learning | Dot product of vectors | Hilbert spaces | Principal components analysis | Mathematical vectors | Mathematical functions | Mathematics | Learning theory | Modeling | Support vector machines | Graphical models | Reproducing kernels | Statistics & Probability | Physical Sciences | Science & Technology | Studies | Linear programming | Algorithms | Nonlinear programming | Estimating techniques | Artificial intelligence | support vector machines | 68T05 | reproducing kernels | graphical models | 30C40

Journal Article

IEEE transactions on automatic control, ISSN 0018-9286, 01/2009, Volume 54, Issue 1, pp. 48 - 61

... this (not necessarily smooth) optimization problem, we consider a subgradient method that is distributed among the agents...

distributed optimization | Computational modeling | Optimization methods | subgradient method | Distributed computing | Convergence | cooperative control | Network topology | Convex optimization | Character generation | Distributed control | Cost function | multi-agent network | Large-scale systems | Resource management | Distributed optimization | Multi-agent network | Cooperative control | Subgradient method | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Convex domains | Mathematical optimization | Analysis | Multi-agent systems | Exchanging | Accuracy | Approximation | Mathematical analysis | Mathematical models | Estimates | Optimization

distributed optimization | Computational modeling | Optimization methods | subgradient method | Distributed computing | Convergence | cooperative control | Network topology | Convex optimization | Character generation | Distributed control | Cost function | multi-agent network | Large-scale systems | Resource management | Distributed optimization | Multi-agent network | Cooperative control | Subgradient method | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Convex domains | Mathematical optimization | Analysis | Multi-agent systems | Exchanging | Accuracy | Approximation | Mathematical analysis | Mathematical models | Estimates | Optimization

Journal Article

Computer methods in applied mechanics and engineering, ISSN 0045-7825, 04/2018, Volume 332, pp. 303 - 324

We introduce a family of Galerkin finite element methods which are constructed via recovery operators over element-wise discontinuous approximation spaces...

A priori error analysis | Finite element method | Discontinuous Galerkin | Conforming recovery operator | A posteriori error bound | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Analysis | Methods | Operators | Boundary value problems | Approximation | Partial differential equations | Mathematical analysis | Approximations | Galerkin method | Finite element analysis | Recovery | Mathematics - Numerical Analysis

A priori error analysis | Finite element method | Discontinuous Galerkin | Conforming recovery operator | A posteriori error bound | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Analysis | Methods | Operators | Boundary value problems | Approximation | Partial differential equations | Mathematical analysis | Approximations | Galerkin method | Finite element analysis | Recovery | Mathematics - Numerical Analysis

Journal Article

2015, ISBN 1466592532, xviii, 273

Book

Geophysical journal international, ISSN 0956-540X, 04/2012, Volume 189, Issue 1, pp. 38 - 54

SUMMARY
Calculating surface topography in geodynamic models is a common numerical problem. Besides other approaches, the so‐called ‘sticky air’ approach has...

Numerical approximations and analysis | Geomechanics | Numerical solutions | Tectonics and landscape evolution | Dynamics of lithosphere and mantle | Physical Sciences | Science & Technology | Geochemistry & Geophysics | Earth | Rock mechanics | Fluid dynamics | Anisotropy | Landscape evolution | Analysis | Lithosphere | Tectonics (Geology) | Models | Comparative analysis | Mantle | Methods | Viscosity | Mathematical analysis | Topography | Markers | Mathematical models | Geodynamics | Density

Numerical approximations and analysis | Geomechanics | Numerical solutions | Tectonics and landscape evolution | Dynamics of lithosphere and mantle | Physical Sciences | Science & Technology | Geochemistry & Geophysics | Earth | Rock mechanics | Fluid dynamics | Anisotropy | Landscape evolution | Analysis | Lithosphere | Tectonics (Geology) | Models | Comparative analysis | Mantle | Methods | Viscosity | Mathematical analysis | Topography | Markers | Mathematical models | Geodynamics | Density

Journal Article

2005, IEE electromagnetic waves series, ISBN 0863414478, Volume 48, xi, 249

... method 33
1.2.1 Introduction 33
1.2.2 Diffraction by a smooth convex body 35
1.2.3 Parabolic equation 36
1.2.4 Asymptotics of the field in the Fock domain 37
1.2.5...

Asymptotic expansions | Mathematical models | Electromagnetism | Diffraction | Electromagnetic waves | Asymptotic theory | Electromagnetic creeping wave | Electromagnetic wave diffraction | Hybrid diffraction coefficient | Asymptotic current

Asymptotic expansions | Mathematical models | Electromagnetism | Diffraction | Electromagnetic waves | Asymptotic theory | Electromagnetic creeping wave | Electromagnetic wave diffraction | Hybrid diffraction coefficient | Asymptotic current

Book

Acta numerica, ISSN 0962-4929, 05/2017, Volume 26, pp. 591 - 721

This paper provides an overview of AMG methods for solving large-scale systems of equations, such as those from discretizations of partial differential equations...

Physical Sciences | Mathematics | Science & Technology | Approximation | Partial differential equations | Multigrid methods | Boundary conditions | Computational mathematics | Decomposition | Coefficient of variation | Optimization | Problems | Algebra | Algorithms | Applied mathematics | Mathematical analysis | Energy conservation | Linear algebra | Eigenvectors | Iterative methods | Formulas (mathematics) | Methods

Physical Sciences | Mathematics | Science & Technology | Approximation | Partial differential equations | Multigrid methods | Boundary conditions | Computational mathematics | Decomposition | Coefficient of variation | Optimization | Problems | Algebra | Algorithms | Applied mathematics | Mathematical analysis | Energy conservation | Linear algebra | Eigenvectors | Iterative methods | Formulas (mathematics) | Methods

Journal Article