Journal of Computational Physics, ISSN 0021-9991, 10/2013, Volume 250, pp. 224 - 245

An efficient numerical method based on a probabilistic representation for the Vlasov–Poisson system of equations in the Fourier space has been derived. This...

Parallel computing | Monte Carlo and quasi Monte-Carlo methods | Domain decomposition | Scalable algorithms | Random trees | Vlasov–Poisson system | Vlasov-Poisson system | MONTE-CARLO | SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | CASCADES | PHYSICS, MATHEMATICAL | Monte Carlo method | Algorithms | Numerical analysis | Landau damping | Computer simulation | Mathematical analysis | Probability theory | Fourier analysis | Mathematical models | Representations | Modeling and Simulation | Computational Physics | Distributed, Parallel, and Cluster Computing | Analysis of PDEs | Numerical Analysis | Computer Science | Probability | Mathematics | Plasmas | Engineering Sciences | Physics

Parallel computing | Monte Carlo and quasi Monte-Carlo methods | Domain decomposition | Scalable algorithms | Random trees | Vlasov–Poisson system | Vlasov-Poisson system | MONTE-CARLO | SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | CASCADES | PHYSICS, MATHEMATICAL | Monte Carlo method | Algorithms | Numerical analysis | Landau damping | Computer simulation | Mathematical analysis | Probability theory | Fourier analysis | Mathematical models | Representations | Modeling and Simulation | Computational Physics | Distributed, Parallel, and Cluster Computing | Analysis of PDEs | Numerical Analysis | Computer Science | Probability | Mathematics | Plasmas | Engineering Sciences | Physics

Journal Article

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ISSN 1073-7928, 09/2019, Volume 2019, Issue 17, pp. 5219 - 5255

We consider a finite simplicial complex K together with its successive barycentric subdivisions Sd(d) (K), d >= 0, and study the expected topology of a random...

MATHEMATICS | VECTORS | Probability | Geometric Topology | Algebraic Geometry | Mathematics | Combinatorics

MATHEMATICS | VECTORS | Probability | Geometric Topology | Algebraic Geometry | Mathematics | Combinatorics

Journal Article

Archives of computational methods in engineering, ISSN 1886-1784, 2017, Volume 26, Issue 1, pp. 61 - 106

Metamodeling, the science of modeling functions observed at a finite number of points, benefits from all auxiliary information it can account for. Function...

Engineering | Mathematical and Computational Engineering | DESIGN | SUPPORT VECTOR REGRESSION | ALGORITHMS | INTERPOLATION | ADJOINT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | MODELS | GLOBAL OPTIMIZATION | LIKELIHOOD-ESTIMATION | COVARIANCE | RESPONSE-SURFACE APPROXIMATION | Radial basis function | Support vector machines | Formulations | Basis functions | Least squares | Metamodels | Mathematical models | Computing time | Weighting functions | Kriging | Modeling and Simulation | Mathematics | Optimization and Control | Computer Science

Engineering | Mathematical and Computational Engineering | DESIGN | SUPPORT VECTOR REGRESSION | ALGORITHMS | INTERPOLATION | ADJOINT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | MODELS | GLOBAL OPTIMIZATION | LIKELIHOOD-ESTIMATION | COVARIANCE | RESPONSE-SURFACE APPROXIMATION | Radial basis function | Support vector machines | Formulations | Basis functions | Least squares | Metamodels | Mathematical models | Computing time | Weighting functions | Kriging | Modeling and Simulation | Mathematics | Optimization and Control | Computer Science

Journal Article

02/2018, ISBN 9780691176536, 1449

Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics...

Linear systems | Matrices | Scalar field theory | Vector analysis

Linear systems | Matrices | Scalar field theory | Vector analysis

eBook

1970, Draft ed., SMP further mathematics series, 5 v.

Book

Mathematical programming, ISSN 1436-4646, 2013, Volume 149, Issue 1-2, pp. 47 - 81

Phase retrieval seeks to recover a signal $$x \in {\mathbb {C}}^p$$ x ∈ C p from the amplitude $$|A x|$$ | A x | of linear measurements $$Ax \in {\mathbb...

Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C22 | Mathematics | 90C27 | Combinatorics | 94A12 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MAXIMUM CUT | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | APPROXIMATION ALGORITHMS | QUADRATIC OPTIMIZATION | RELAXATION | RETRIEVAL | Algorithms | Studies | Semidefinite programming | Quadratic programming | Analysis | Amplitudes | Mathematical analysis | Phase retrieval | Blocking | Texts | Mathematical models | Vectors (mathematics) | Mathematical programming

Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C22 | Mathematics | 90C27 | Combinatorics | 94A12 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MAXIMUM CUT | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | APPROXIMATION ALGORITHMS | QUADRATIC OPTIMIZATION | RELAXATION | RETRIEVAL | Algorithms | Studies | Semidefinite programming | Quadratic programming | Analysis | Amplitudes | Mathematical analysis | Phase retrieval | Blocking | Texts | Mathematical models | Vectors (mathematics) | Mathematical programming

Journal Article

1990, ISBN 0198563329, xiii, 304

Book

2018, ISBN 9813232765, xi, 289 pages

Book

IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2015, Volume 61, Issue 4, pp. 1985 - 2007

We study the problem of recovering the phase from magnitude measurements; specifically, we wish to reconstruct a complex-valued signal x ∈ ℂ n about which we...

non-convex optimization | Fourier transforms | Accuracy | Diffraction | Computational modeling | Wirtinger derivatives | convergence to global optimum | phase retrieval | Vectors | Optimization | Convergence | Non-convex optimization | X-RAY CRYSTALLOGRAPHY | RECONSTRUCTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | MATRIX COMPLETION | MULTIDIMENSIONAL SEQUENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | MAGNITUDE | FOURIER-TRANSFORM | ALLOW | Measurement | Usage | Frequency modulation | Innovations | Signal processing | Convex functions | Mathematical optimization | Iterative methods (Mathematics)

non-convex optimization | Fourier transforms | Accuracy | Diffraction | Computational modeling | Wirtinger derivatives | convergence to global optimum | phase retrieval | Vectors | Optimization | Convergence | Non-convex optimization | X-RAY CRYSTALLOGRAPHY | RECONSTRUCTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | MATRIX COMPLETION | MULTIDIMENSIONAL SEQUENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | MAGNITUDE | FOURIER-TRANSFORM | ALLOW | Measurement | Usage | Frequency modulation | Innovations | Signal processing | Convex functions | Mathematical optimization | Iterative methods (Mathematics)

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 8/2015, Volume 201, Issue 2, pp. 561 - 624

The Gaussian noise-stability of a set $$A \subset {\mathbb R}^n$$ A ⊂ R n is defined by $$ \begin{aligned} {\mathcal {S}}_\rho (A) = {\mathbb P}\left( X \in A...

Mathematics, general | Mathematics | MATHEMATICS | INEQUALITY | Random noise | Stability | Half spaces | Normal distribution | Centroids | Robustness | Inequality | Functions (mathematics) | Robustness (mathematics) | Mathematical analysis | Inequalities | Vectors (mathematics) | Estimates

Mathematics, general | Mathematics | MATHEMATICS | INEQUALITY | Random noise | Stability | Half spaces | Normal distribution | Centroids | Robustness | Inequality | Functions (mathematics) | Robustness (mathematics) | Mathematical analysis | Inequalities | Vectors (mathematics) | Estimates

Journal Article

07/2017, ISBN 1785481738, Volume 1, 245

This title focuses on mathematical notions and results that are useful in the study of differential geometry and nonlinear dynamical systems. Divided into two...

Algebra, Homological | Mathematics | Ordered algebraic structures | Algebras, Linear | Field extensions (Mathematics) | Sheaf theory | Topology | Vector spaces

Algebra, Homological | Mathematics | Ordered algebraic structures | Algebras, Linear | Field extensions (Mathematics) | Sheaf theory | Topology | Vector spaces

eBook

02/2018, REV - Revised, ISBN 9780691176536, 1594

The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication...

MATHEMATICS | General | Vector Analysis | Linear systems | Matrices | Mathematics | Vector analysis | Scalar field theory

MATHEMATICS | General | Vector Analysis | Linear systems | Matrices | Mathematics | Vector analysis | Scalar field theory

eBook

Israel Journal of Mathematics, ISSN 0021-2172, 3/2019, Volume 230, Issue 2, pp. 715 - 744

Israel Journal of Mathematics, March 2019, Volume 230, Issue 2, pp 715--744 We present a new proof of results of Kurdyka...

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | Research | Vector spaces | Mathematical research | Mappings (Mathematics)

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | Research | Vector spaces | Mathematical research | Mappings (Mathematics)

Journal Article

2003, ISBN 0521480221, Volume 9780521480222, xiv, 578

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to...

Mathematical physics | Geometry, Algebraic | Electronic commerce | Information storage and retrieval systems | Congresses

Mathematical physics | Geometry, Algebraic | Electronic commerce | Information storage and retrieval systems | Congresses

Book

2016, Monographs and research notes in mathematics, ISBN 9781482299090, Volume 14, xix, 308 pages

...: The Search for Linearity in Mathematics collects the main results on the conditions for

Mathematical analysis | Algebras, Linear | Vector spaces | Mathematics | Algebra | Mathematical Analysis | subspace | STMnetBASE | SCI-TECHnetBASE | MATHnetBASE | maximal | space | dense | lineable | banach | continuous | vector | topological | subset | Algebraic spaces | Lattice theory

Mathematical analysis | Algebras, Linear | Vector spaces | Mathematics | Algebra | Mathematical Analysis | subspace | STMnetBASE | SCI-TECHnetBASE | MATHnetBASE | maximal | space | dense | lineable | banach | continuous | vector | topological | subset | Algebraic spaces | Lattice theory

Book

2002, Course profiles, 19, 25

Book

Proceedings of the National Academy of Sciences - PNAS, ISSN 0027-8424, 2/2006, Volume 103, Issue 7, pp. 2032 - 2039

We will see that the famous intractible 1959 Kadison-Singer Problem in C*-algebras is equivalent to fundamental open problems in a dozen different areas of research in mathematics and engineering...

Mathematical theorems | Natural numbers | Linear transformations | Hilbert spaces | Scalars | Harmonic analysis | Mathematical vectors | Mathematical functions | Operator theory | SPARSE REPRESENTATION | FRAMES | MULTIDISCIPLINARY SCIENCES | ERASURES | Engineering research | Processes, Infinite | Mathematical research | Analysis | Mathematics - Functional Analysis | Physical Sciences

Mathematical theorems | Natural numbers | Linear transformations | Hilbert spaces | Scalars | Harmonic analysis | Mathematical vectors | Mathematical functions | Operator theory | SPARSE REPRESENTATION | FRAMES | MULTIDISCIPLINARY SCIENCES | ERASURES | Engineering research | Processes, Infinite | Mathematical research | Analysis | Mathematics - Functional Analysis | Physical Sciences

Journal Article

Mathematische Annalen, ISSN 0025-5831, 12/2016, Volume 366, Issue 3, pp. 865 - 907

... on sections of the bundle of Hermitian endomorphisms of E.I fE is simple we obtain an approximation of the eigenvalues and eigenspaces of the Laplacian. Mathematics...

14L24 | Secondary 35P20 | Primary 53D50 | 53D20 | Mathematics, general | Mathematics | 32W05 | 47F05 | MATHEMATICS | PROJECTIVE EMBEDDINGS | COMPLEX DIFFERENTIAL GEOMETRY | Complex Variables | Algebraic Geometry | Differential Geometry | Mathematical Physics | Physics

14L24 | Secondary 35P20 | Primary 53D50 | 53D20 | Mathematics, general | Mathematics | 32W05 | 47F05 | MATHEMATICS | PROJECTIVE EMBEDDINGS | COMPLEX DIFFERENTIAL GEOMETRY | Complex Variables | Algebraic Geometry | Differential Geometry | Mathematical Physics | Physics

Journal Article