Numerische Mathematik, ISSN 0029-599X, 2/2017, Volume 135, Issue 2, pp. 493 - 519

We present an extension to high-order of a first-order Lagrange-projection like method for the approximation of the Euler equations introduced in Coquel et al....

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics, general | Mathematics | 65M60 | Numerical and Computational Physics, Simulation | 65M12 | MATHEMATICS, APPLIED | SYSTEMS | DISCONTINUOUS GALERKIN METHOD | NAVIER-STOKES EQUATIONS | CONSERVATION-LAWS | Approximation | Robustness (mathematics) | Mathematical analysis | Eulers equations | Stability analysis | Galerkin method | Euler equations | Time integration | Mechanics | Fluids mechanics | Engineering Sciences

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics, general | Mathematics | 65M60 | Numerical and Computational Physics, Simulation | 65M12 | MATHEMATICS, APPLIED | SYSTEMS | DISCONTINUOUS GALERKIN METHOD | NAVIER-STOKES EQUATIONS | CONSERVATION-LAWS | Approximation | Robustness (mathematics) | Mathematical analysis | Eulers equations | Stability analysis | Galerkin method | Euler equations | Time integration | Mechanics | Fluids mechanics | Engineering Sciences

Journal Article

International Journal of Online Engineering, ISSN 1868-1646, 2017, Volume 13, Issue 12, pp. 85 - 103

Journal Article

Advances in Computational Mathematics, ISSN 1019-7168, 4/2019, Volume 45, Issue 2, pp. 519 - 561

In this paper, a deterministic sparse Fourier transform algorithm is presented which breaks the quadratic-in-sparsity runtime bottleneck for a large class of...

Sparse Fourier transform (SFT) | Visualization | Computational Mathematics and Numerical Analysis | Structured sparsity | 65T50 | 65T40 | Mathematical and Computational Biology | Mathematics | 68W25 | Computational Science and Engineering | Deterministic constructions | 05-04 | 42A15 | 42A10 | 42A32 | Approximation algorithms | Mathematical Modeling and Industrial Mathematics | 42A16 | 94A12 | MATHEMATICS, APPLIED | Fourier transformations | Algorithms | Research | Periodic functions | Mathematical research | Fourier transformation | Fourier transforms | Sparsity | Robustness (mathematics)

Sparse Fourier transform (SFT) | Visualization | Computational Mathematics and Numerical Analysis | Structured sparsity | 65T50 | 65T40 | Mathematical and Computational Biology | Mathematics | 68W25 | Computational Science and Engineering | Deterministic constructions | 05-04 | 42A15 | 42A10 | 42A32 | Approximation algorithms | Mathematical Modeling and Industrial Mathematics | 42A16 | 94A12 | MATHEMATICS, APPLIED | Fourier transformations | Algorithms | Research | Periodic functions | Mathematical research | Fourier transformation | Fourier transforms | Sparsity | Robustness (mathematics)

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2015, Volume 53, Issue 5, pp. 2135 - 2157

We design and analyze an approximation method for advection-diffusion-reaction equations where the (generalized) degrees of freedom are polynomials of order k...

Degenerate diffusion | Error estimates | Advection-diffusion | Hybrid high-order method | Peclet robustness | ORDER | MATHEMATICS, APPLIED | hybrid high-order method | degenerate diffusion | GALERKIN METHOD | advection-diffusion | error estimates | Mathematics - Numerical Analysis | Numerical Analysis | Mathematics

Degenerate diffusion | Error estimates | Advection-diffusion | Hybrid high-order method | Peclet robustness | ORDER | MATHEMATICS, APPLIED | hybrid high-order method | degenerate diffusion | GALERKIN METHOD | advection-diffusion | error estimates | Mathematics - Numerical Analysis | Numerical Analysis | Mathematics

Journal Article

Advances in Computational Mathematics, ISSN 1019-7168, 6/2018, Volume 44, Issue 3, pp. 951 - 985

We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with...

Visualization | Computational Mathematics and Numerical Analysis | 33E10 | High mode expansions | 65N35 | Mathematical and Computational Biology | Spherical harmonics | Far-field scattering waves | Helmholtz equation | Mathematics | 35J05 | Computational Science and Engineering | Vector spherical harmonics | Multiple scattering | Maxwell equations | 65Z05 | 74J20 | Spectral elements | 65M70 | Mathematical Modeling and Industrial Mathematics | Analytic formulas | 78A40 | MATHEMATICS, APPLIED | APPROXIMATION | MULTIPLE-SCATTERING PROBLEMS | BOUNDARY-CONDITIONS | ALGORITHMS | TRANSLATION | EXTERIOR DOMAINS | HELMHOLTZ-EQUATION | HIGH-ORDER METHOD | COEFFICIENTS | COMPUTATION | Analysis | Scattering (Mathematics) | Numerical analysis | Robustness (mathematics) | Computer simulation | Scattering | Numerical methods | Dirichlet problem | Spectra | Computing time

Visualization | Computational Mathematics and Numerical Analysis | 33E10 | High mode expansions | 65N35 | Mathematical and Computational Biology | Spherical harmonics | Far-field scattering waves | Helmholtz equation | Mathematics | 35J05 | Computational Science and Engineering | Vector spherical harmonics | Multiple scattering | Maxwell equations | 65Z05 | 74J20 | Spectral elements | 65M70 | Mathematical Modeling and Industrial Mathematics | Analytic formulas | 78A40 | MATHEMATICS, APPLIED | APPROXIMATION | MULTIPLE-SCATTERING PROBLEMS | BOUNDARY-CONDITIONS | ALGORITHMS | TRANSLATION | EXTERIOR DOMAINS | HELMHOLTZ-EQUATION | HIGH-ORDER METHOD | COEFFICIENTS | COMPUTATION | Analysis | Scattering (Mathematics) | Numerical analysis | Robustness (mathematics) | Computer simulation | Scattering | Numerical methods | Dirichlet problem | Spectra | Computing time

Journal Article

2002, Lecture notes in control and information sciences, ISBN 9783540428909, Volume 273., xi, 301

This volume originates from the Third Nonlinear Control Workshop "- namics, Bifurcations and Control", held in Kloster Irsee, April 1-3 2001. As the preceding...

Robust control | Automatic control | Bifurcation theory | Congresses | Engineering | Vibration, Dynamical Systems, Control | Vibration | Control, Robotics, Mechatronics | Systems Theory, Control | Analysis | Complex Systems | Global analysis (Mathematics) | Systems theory | Complexity

Robust control | Automatic control | Bifurcation theory | Congresses | Engineering | Vibration, Dynamical Systems, Control | Vibration | Control, Robotics, Mechatronics | Systems Theory, Control | Analysis | Complex Systems | Global analysis (Mathematics) | Systems theory | Complexity

eBook

ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 11/2018, Volume 52, Issue 6, pp. 2149 - 2185

In this paper we study the Brinkman model as a unified framework to allow the transition between the Darcy and the Stokes problems. We propose an...

Brinkman problem | Penalty-free Nitsche method | Stabilized finite elements | Weak boundary conditions | MATHEMATICS, APPLIED | APPROXIMATION | weak boundary conditions | BOUNDARY-CONDITIONS | FORMULATIONS | penalty-free Nitsche method | stabilized finite elements | WEAK IMPOSITION | DIRICHLET | FINITE-ELEMENT-METHOD | Finite element method | Brinkman model | Computational fluid dynamics | Robustness (mathematics) | Computer simulation | Stabilization | Elasticity | Norms | Boundary conditions | Mathematical models | Physical properties | Numerical Analysis | Mathematics

Brinkman problem | Penalty-free Nitsche method | Stabilized finite elements | Weak boundary conditions | MATHEMATICS, APPLIED | APPROXIMATION | weak boundary conditions | BOUNDARY-CONDITIONS | FORMULATIONS | penalty-free Nitsche method | stabilized finite elements | WEAK IMPOSITION | DIRICHLET | FINITE-ELEMENT-METHOD | Finite element method | Brinkman model | Computational fluid dynamics | Robustness (mathematics) | Computer simulation | Stabilization | Elasticity | Norms | Boundary conditions | Mathematical models | Physical properties | Numerical Analysis | Mathematics

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 10

In this paper, we consider well-posedness of symmetric vector quasi-equilibrium problems. Based on a nonlinear scalarization technique, we first establish the...

90C31 | sufficient conditions | 49K40 | well-posedness | Analysis | bounded rationality model | 91A26 | nonlinear scalarization function | Mathematics, general | symmetric vector quasi-equilibrium problems | Mathematics | Applications of Mathematics | MATHEMATICS | STRUCTURAL STABILITY | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | ROBUSTNESS | BOUNDED RATIONALITY | SCALARIZATION | Nonlinearity | Vectors (mathematics) | Well posed problems | Mathematical analysis | Inequalities | Symmetry

90C31 | sufficient conditions | 49K40 | well-posedness | Analysis | bounded rationality model | 91A26 | nonlinear scalarization function | Mathematics, general | symmetric vector quasi-equilibrium problems | Mathematics | Applications of Mathematics | MATHEMATICS | STRUCTURAL STABILITY | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | ROBUSTNESS | BOUNDED RATIONALITY | SCALARIZATION | Nonlinearity | Vectors (mathematics) | Well posed problems | Mathematical analysis | Inequalities | Symmetry

Journal Article

PLoS ONE, ISSN 1932-6203, 04/2018, Volume 13, Issue 4, p. e0195894

This article presents and investigates performance of a series of robust multivariate nonparametric tests for detection of location shift between two...

HIV | MULTIDISCIPLINARY SCIENCES | RANK-TESTS | Clinical trials | Usage | Analysis | Simulation methods | Biometrics | Health care | Intervention | Health sciences | Statistical methods | Multivariate analysis | Acquired immune deficiency syndrome--AIDS | Robustness (mathematics) | Human immunodeficiency virus--HIV | Behavior | Estimators | Medical research | Permutations | Statistical analysis | Computer simulation | Health risks | Risk reduction | Youth | Risk taking | Statistical tests | Statistics | Hypotheses | Outliers (statistics) | Applied mathematics | Samples | Acquired immune deficiency syndrome | AIDS | Human immunodeficiency virus

HIV | MULTIDISCIPLINARY SCIENCES | RANK-TESTS | Clinical trials | Usage | Analysis | Simulation methods | Biometrics | Health care | Intervention | Health sciences | Statistical methods | Multivariate analysis | Acquired immune deficiency syndrome--AIDS | Robustness (mathematics) | Human immunodeficiency virus--HIV | Behavior | Estimators | Medical research | Permutations | Statistical analysis | Computer simulation | Health risks | Risk reduction | Youth | Risk taking | Statistical tests | Statistics | Hypotheses | Outliers (statistics) | Applied mathematics | Samples | Acquired immune deficiency syndrome | AIDS | Human immunodeficiency virus

Journal Article

Journal of Combinatorial Optimization, ISSN 1382-6905, 8/2017, Volume 34, Issue 2, pp. 554 - 573

This paper deals with the recoverable robust spanning tree problem under interval uncertainty representations. A strongly polynomial time, combinatorial...

Robust optimization | Convex and Discrete Geometry | Spanning tree | Mathematics | Theory of Computation | Mathematical Modeling and Industrial Mathematics | Operation Research/Decision Theory | Combinatorics | Recovery | Optimization | Interval data | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMBINATORIAL OPTIMIZATION PROBLEMS | Algorithms | Uncertainty | Ethernet | Robustness | Representations | Decision trees | Combinatorial analysis

Robust optimization | Convex and Discrete Geometry | Spanning tree | Mathematics | Theory of Computation | Mathematical Modeling and Industrial Mathematics | Operation Research/Decision Theory | Combinatorics | Recovery | Optimization | Interval data | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMBINATORIAL OPTIMIZATION PROBLEMS | Algorithms | Uncertainty | Ethernet | Robustness | Representations | Decision trees | Combinatorial analysis

Journal Article

Numerische Mathematik, ISSN 0029-599X, 5/2017, Volume 136, Issue 1, pp. 183 - 213

For a large Hermitian matrix $$A\in \mathbb {C}^{N\times N}$$ A ∈ C N × N , it is often the case that the only affordable operation is matrix–vector...

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics, general | 65F15 | Mathematics | Numerical and Computational Physics, Simulation | 15A18 | MATHEMATICS, APPLIED | STATES | MAXIMUM-ENTROPY APPROACH | APPROXIMATION | ALGORITHM | LANCZOS | MOMENTS | Functions (mathematics) | Computer memory | Density of states | Randomization | Matrix algebra | Robustness (mathematics) | Mathematical analysis | Spectra | Smoothness | Matrix methods

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics, general | 65F15 | Mathematics | Numerical and Computational Physics, Simulation | 15A18 | MATHEMATICS, APPLIED | STATES | MAXIMUM-ENTROPY APPROACH | APPROXIMATION | ALGORITHM | LANCZOS | MOMENTS | Functions (mathematics) | Computer memory | Density of states | Randomization | Matrix algebra | Robustness (mathematics) | Mathematical analysis | Spectra | Smoothness | Matrix methods

Journal Article

92.
Full Text
EXTREME VERSIONS OF WANG RISK MEASURES AND THEIR ESTIMATION FOR HEAVY-TAILED DISTRIBUTIONS

Statistica Sinica, ISSN 1017-0405, 4/2017, Volume 27, Issue 2, pp. 907 - 930

In this paper, we build simple extreme analogues of Wang distortion risk measures and we show how this makes it possible to consider many standard measures of...

Heavy-tailed distribution | Distortion risk measure | Asymptotic normality | Conditional tail moment | Extreme-value statistics | ROBUSTNESS | VALUE INDEX | heavy-tailed distribution | STATISTICS & PROBABILITY | HILL ESTIMATOR | conditional tail moment | distortion risk measure | extreme-value statistics | Statistics | Mathematics

Heavy-tailed distribution | Distortion risk measure | Asymptotic normality | Conditional tail moment | Extreme-value statistics | ROBUSTNESS | VALUE INDEX | heavy-tailed distribution | STATISTICS & PROBABILITY | HILL ESTIMATOR | conditional tail moment | distortion risk measure | extreme-value statistics | Statistics | Mathematics

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 8/2018, Volume 76, Issue 2, pp. 1127 - 1147

In several applications, data are collected in the frequency (Fourier) domain non-uniformly, either by design or as a consequence of inexact measurements. The...

Computational Mathematics and Numerical Analysis | Algorithms | Gibbs phenomenon | Inverse polynomial reconstruction method | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics | Non-uniform Fourier data | Fourier frame | STABLE RECONSTRUCTIONS | MATHEMATICS, APPLIED | RECOVERING EXPONENTIAL ACCURACY | OPERATOR | MRI | EXPANSIONS | RESOLUTION | EQUATION | Analysis | Methods | Operators (mathematics) | Approximation | Analytic functions | Robustness (mathematics) | Polynomials | Resampling | Image reconstruction

Computational Mathematics and Numerical Analysis | Algorithms | Gibbs phenomenon | Inverse polynomial reconstruction method | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics | Non-uniform Fourier data | Fourier frame | STABLE RECONSTRUCTIONS | MATHEMATICS, APPLIED | RECOVERING EXPONENTIAL ACCURACY | OPERATOR | MRI | EXPANSIONS | RESOLUTION | EQUATION | Analysis | Methods | Operators (mathematics) | Approximation | Analytic functions | Robustness (mathematics) | Polynomials | Resampling | Image reconstruction

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 5/2018, Volume 75, Issue 2, pp. 762 - 781

We present a novel integral representation for the biharmonic Dirichlet problem. To obtain the representation, the Dirichlet problem is first converted into a...

Computational Mathematics and Numerical Analysis | 65R20 | 31A30 | Theoretical, Mathematical and Computational Physics | Biharmonic | 31A10 | Mathematics | Algorithms | Integral equations | Mathematical and Computational Engineering | Dirichlet | Multiply connected | 65N99 | STOKES-FLOW | MATHEMATICS, APPLIED | PARTICLE | EXPANSION | QUADRATURE | Biharmonic equations | Computational fluid dynamics | Robustness (mathematics) | Binomial distribution | Dirichlet problem | Representations | Curvature | Stokes law (fluid mechanics) | Stokes flow | Mathematics - Numerical Analysis

Computational Mathematics and Numerical Analysis | 65R20 | 31A30 | Theoretical, Mathematical and Computational Physics | Biharmonic | 31A10 | Mathematics | Algorithms | Integral equations | Mathematical and Computational Engineering | Dirichlet | Multiply connected | 65N99 | STOKES-FLOW | MATHEMATICS, APPLIED | PARTICLE | EXPANSION | QUADRATURE | Biharmonic equations | Computational fluid dynamics | Robustness (mathematics) | Binomial distribution | Dirichlet problem | Representations | Curvature | Stokes law (fluid mechanics) | Stokes flow | Mathematics - Numerical Analysis

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2017, Volume 162, Issue 1, pp. 465 - 493

In this paper we identify strong facet defining inequalities for the master knapsack polytope. Our computational experiments for small master knapsack problems...

90C10 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 90C27 | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CYCLIC GROUP | POLYHEDRA | THEOREM | RELAXATION | CUTTING PLANES | Analysis | Business schools | Studies | Mathematical analysis | Knapsack problem | Polytopes | Robustness (mathematics) | Computation | Inequalities | Texts | Formulas (mathematics)

90C10 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 90C27 | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CYCLIC GROUP | POLYHEDRA | THEOREM | RELAXATION | CUTTING PLANES | Analysis | Business schools | Studies | Mathematical analysis | Knapsack problem | Polytopes | Robustness (mathematics) | Computation | Inequalities | Texts | Formulas (mathematics)

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 04/2019, Volume 347, pp. 445 - 476

We discuss the implementation details and the numerical performance of the recently introduced nonconforming Trefftz virtual element method (Mascotto et al.,...

Helmholtz equation | Plane waves | Ill-conditioning | Nonconforming spaces | Polygonal meshes | Virtual element method | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | DISCONTINUOUS GALERKIN METHODS | Ill-conditioning (mathematics) | Basis functions | Robustness (mathematics) | Mathematical analysis | Acoustic scattering

Helmholtz equation | Plane waves | Ill-conditioning | Nonconforming spaces | Polygonal meshes | Virtual element method | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | DISCONTINUOUS GALERKIN METHODS | Ill-conditioning (mathematics) | Basis functions | Robustness (mathematics) | Mathematical analysis | Acoustic scattering

Journal Article

Computational and Applied Mathematics, ISSN 2238-3603, 9/2019, Volume 38, Issue 3, pp. 1 - 26

In this work, we propose a hybridized Continuous/Discontinuous Galerkin formulation for the Helmholtz problem that works with a continuous trace space....

Discontinuous Galerkin | Computational Mathematics and Numerical Analysis | Hybrid methods | Mathematical Applications in Computer Science | Helmholtz equation | Mathematics | 65M60 | Applications of Mathematics | Mathematical Applications in the Physical Sciences | Finite element | ELASTICITY | MATHEMATICS, APPLIED | DISCONTINUOUS GALERKIN METHODS | FINITE-ELEMENT-METHOD | EQUATION | Robustness (mathematics) | Mathematical analysis | Galerkin method | Polynomials | Grid refinement (mathematics) | Computational efficiency | Well posed problems | Computing time | Condensation

Discontinuous Galerkin | Computational Mathematics and Numerical Analysis | Hybrid methods | Mathematical Applications in Computer Science | Helmholtz equation | Mathematics | 65M60 | Applications of Mathematics | Mathematical Applications in the Physical Sciences | Finite element | ELASTICITY | MATHEMATICS, APPLIED | DISCONTINUOUS GALERKIN METHODS | FINITE-ELEMENT-METHOD | EQUATION | Robustness (mathematics) | Mathematical analysis | Galerkin method | Polynomials | Grid refinement (mathematics) | Computational efficiency | Well posed problems | Computing time | Condensation

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 06/2017, Volume 319, pp. 1 - 18

We present a worst-case approach for topology optimization under load-uncertainty based on a general problem formulation involving maxima of quadratic...

Topology optimization | Non-linear semi-definite programming | Load-uncertainty | Stress constraints | Robustness | EIGENVALUE | DESIGN | TRUSSES | RELAXATION | ALTERNATIVE APPROACH | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | MINIMIZATION | STRUCTURAL OPTIMIZATION | Uncertainty | Robustness (mathematics) | Maxima | Naturvetenskap | Computational Mathematics | Topology optimization; Robustness; Load-uncertainty; Stress constraints; Non-linear semi-definite programming | Mathematics | Natural Sciences | Beräkningsmatematik | Matematik

Topology optimization | Non-linear semi-definite programming | Load-uncertainty | Stress constraints | Robustness | EIGENVALUE | DESIGN | TRUSSES | RELAXATION | ALTERNATIVE APPROACH | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | MINIMIZATION | STRUCTURAL OPTIMIZATION | Uncertainty | Robustness (mathematics) | Maxima | Naturvetenskap | Computational Mathematics | Topology optimization; Robustness; Load-uncertainty; Stress constraints; Non-linear semi-definite programming | Mathematics | Natural Sciences | Beräkningsmatematik | Matematik

Journal Article