## Found 257 Documents (Results 1–100)

100
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### Approximation properties of deep ReLU CNNs. (English)Zbl 07562336

MSC:  41A30 68T07 65D40
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### A spline dimensional decomposition for uncertainty quantification in high dimensions. (English)Zbl 07524833

MSC:  65-XX 49K30 60H35 65C60
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MSC:  65N55
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### Nonlinear level set learning for function approximation on sparse data with applications to parametric differential equations. (English)Zbl 07538528

MSC:  65D15 65D40
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### A generalized spatially adaptive sparse grid combination technique with dimension-wise refinement. (English)Zbl 07378157

MSC:  65D05 65D30 65Y20
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### Efficient VAR discretization. (English)Zbl 1467.62144

MSC:  62M10 65D40
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### A stochastic collocation approach for parabolic PDEs with random domain deformations. (English)Zbl 07351708

MSC:  65-XX 60-XX
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### Sparse interpolation with errors in Chebyshev basis beyond redundant-block decoding. (English)Zbl 1465.94137

MSC:  94B35 65D05 65D40
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### A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. (English)Zbl 07507248

MSC:  65-XX 93-XX
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### Sampling inequalities for anisotropic tensor product grids. (English)Zbl 1466.41016

MSC:  41A63 41A30
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### Generation of nested quadrature rules for generic weight functions via numerical optimization: application to sparse grids. (English)Zbl 1453.65053

MSC:  65D32 65K10 65M60
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### An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions. (English)Zbl 1451.65147

MSC:  65M60 65T60 65L06
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### Gaussian functions combined with Kolmogorov’s theorem as applied to approximation of functions of several variables. (English. Russian original)Zbl 1475.41012

Comput. Math. Math. Phys. 60, No. 5, 766-782 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 784-801 (2020).
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### Algebraic estimation in partial derivatives systems: parameters and differentiation problems. (English)Zbl 1448.65021

Quadrat, Alban (ed.) et al., Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Cham: Springer. Adv. Delays Dyn. 9, 183-200 (2020).
MSC:  65D25 65D40
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### Inference, learning and attention mechanisms that exploit and preserve sparsity in CNNs. (English)Zbl 1477.68362

MSC:  68T45 68T07
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### Sensitivity-driven adaptive sparse stochastic approximations in plasma microinstability analysis. (English)Zbl 1436.65024

MSC:  65D40 65C20 82D10
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### A discontinuous derivative-free optimization framework for multi-enterprise supply chain. (English)Zbl 1444.90118

MSC:  90C56 90C90
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### Analytic regularity and stochastic collocation of high-dimensional Newton iterates. (English)Zbl 1462.65054

MSC:  65H10 60H35
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### New error bounds for deep ReLU networks using sparse grids. (English)Zbl 07468821

MSC:  41A63 68T05 82C32
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### A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids. (English)Zbl 1453.65029

MSC:  65D05 82D75
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MSC:  65M38
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### A parallel sparse grid construction algorithm based on the shared memory architecture and its application to flash calculations. (English)Zbl 1442.65421

MSC:  65N50 65Y05 68W10
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### IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains. (English)Zbl 1441.65092

MSC:  65N30 65D07 65N75
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### A new fast method of solving the high dimensional elliptic eigenvalue problem. (English)Zbl 1429.65271

MSC:  65N25 65N30
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MSC:  65-XX
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MSC:  68T07
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### A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. (English)Zbl 1442.65365

MSC:  65N30 65N75 35R60
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### Multiscale simulation of polymeric fluids using the sparse grid combination technique. (English)Zbl 1426.76418

MSC:  76M12 76A05 65M06
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### PDE formulation of some SABR/LIBOR market models and its numerical solution with a sparse grid combination technique. (English)Zbl 1409.91277

MSC:  91G60 65M06
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### A stochastic Galerkin method for the Fokker-Planck-Landau equation with random uncertainties. (English)Zbl 1412.65142

Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 1-19 (2018).
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### Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients. (English)Zbl 1412.65210

Owen, Art B. (ed.) et al., Monte Carlo and quasi-Monte Carlo methods, MCQMC 2016. Proceedings of the 12th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Stanford, CA, August 14–19, 2016. Cham: Springer. Springer Proc. Math. Stat. 241, 265-281 (2018).
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### Efficient higher order time discretization schemes for Hamilton-Jacobi-Bellman equations based on diagonally implicit symplectic Runge-Kutta methods. (English)Zbl 1405.49019

Kalise, Dante (ed.) et al., Hamilton-Jacobi-Bellman equations. Numerical methods and applications in optimal control. Based on the workshop “Numerical methods for Hamilton-Jacobi equations in optimal control and related fields”, Linz, Austria, November 21–25, 2016. Berlin: De Gruyter (ISBN 978-3-11-054263-9/hbk; 978-3-11-054359-9/ebook). Radon Series on Computational and Applied Mathematics 21, 97-128 (2018).
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### Smoothing the payoff for efficient computation of basket option prices. (English)Zbl 1400.91649

MSC:  91G60 91G20 91-04
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### Convergence of probability densities using approximate models for forward and inverse problems in uncertainty quantification. (English)Zbl 1433.60068

MSC:  60H30 60B10 65D40
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MSC:  65D30
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MSC:  90C26
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### An iterative algorithm for the least Frobenius norm Hermitian and generalized skew Hamiltonian solutions of the generalized coupled Sylvester-conjugate matrix equations. (English)Zbl 1445.15010

MSC:  15A24 65F45 65D40
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### Fully symmetric kernel quadrature. (English)Zbl 1385.65024

MSC:  65D32 41A55 46E22
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### Using adaptive sparse grids to solve high-dimensional dynamic models. (English)Zbl 1420.91258

MSC:  91B55 91B70
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### Error splitting preservation for high order finite difference schemes in the combination technique. (English)Zbl 1399.65295

MSC:  65N06 65D05
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### A nodal sparse grid spectral element method for multi-dimensional elliptic partial differential equations. (English)Zbl 1429.65287

MSC:  65N35 65D40 65N15
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### An introduction to the analysis and implementation of sparse grid finite element methods. (English)Zbl 1367.65153

MSC:  65N30 65N15 65Y20
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### A dynamically adaptive sparse grids method for quasi-optimal interpolation of multidimensional functions. (English)Zbl 1443.65010

MSC:  65D05 41A05 41A63
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### Sparse pseudo spectral projection methods with directional adaptation for uncertainty quantification. (English)Zbl 1371.65015

MSC:  65C60 62K05 62F10
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### Sparse grids-based stochastic approximations with applications to aerodynamics sensitivity analysis. (English)Zbl 1352.76093

MSC:  76M25 65N75 76G25
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### A sparse grid based method for generative dimensionality reduction of high-dimensional data. (English)Zbl 1351.62120

MSC:  62H25 62J10 68T05
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### Trigonometric interpolation on lattice grids. (English)Zbl 1341.65054

MSC:  65T40 42B05 65T50
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### On tensor product approximation of analytic functions. (English)Zbl 1342.41036

MSC:  41A63 41A05
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### Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity. (English)Zbl 1443.76210

MSC:  76S05 74R20 60H35
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MSC:  76M25
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### Semi-implicit integration factor methods on sparse grids for high-dimensional systems. (English)Zbl 1349.65340

MSC:  65M06 65M22 35K57
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### Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs. (English)Zbl 1352.65018

Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 475-482 (2015).
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### Non-intrusive uncertainty quantification with sparse grids for multivariate peridynamic simulations. (English)Zbl 1343.74047

Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer (ISBN 978-3-319-06897-8/hbk; 978-3-319-06898-5/ebook). Lecture Notes in Computational Science and Engineering 100, 115-143 (2015).
MSC:  74R99 74S30
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