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Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabChristoph ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNISA-996558453803316 |
Dũng Dinh
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabChristoph ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNINA-9910751387703321 |
|
Dũng Dinh
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational methods for quantitative finance : finite element methods for derivative pricing / / Norbert Hilber [and three others]
| Computational methods for quantitative finance : finite element methods for derivative pricing / / Norbert Hilber [and three others] |
| Autore | Hilber Norbert |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Heidelberg, Germany : , : Springer, , 2013 |
| Descrizione fisica | 1 online resource (xiii, 299 pages) : illustrations (some color) |
| Disciplina |
332.63
332.63/2015118 332.6322101518 |
| Collana | Springer Finance |
| Soggetto topico |
Derivative securities - Prices - Mathematical models
Finance - Mathematical models Business mathematics |
| ISBN |
1-299-33692-2
3-642-35401-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1.Introduction -- Part I.Basic techniques and models: 2.Notions of mathematical finance -- 3.Elements of numerical methods for PDEs -- 4.Finite element methods for parabolic problems -- 5.European options in BS markets -- 6.American options -- 7.Exotic options -- 8.Interest rate models -- 9.Multi-asset options -- 10.Stochastic volatility models-. 11.Lévy models -- 12.Sensitivities and Greeks -- Part II.Advanced techniques and models: 13.Wavelet methods -- 14.Multidimensional diffusion models -- 15.Multidimensional Lévy models -- 16.Stochastic volatility models with jumps -- 17.Multidimensional Feller processes -- Apendices: A.Elliptic variational inequalities -- B.Parabolic variational inequalities -- References. - Index. |
| Record Nr. | UNINA-9910438135903321 |
|
Hilber Norbert
|
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| Heidelberg, Germany : , : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extraction of Quantifiable Information from Complex Systems [[electronic resource] /] / edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant
| Extraction of Quantifiable Information from Complex Systems [[electronic resource] /] / edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Computational Science and Engineering |
| Soggetto topico |
Partial differential equations
Applied mathematics Engineering mathematics Computer mathematics Numerical analysis Probabilities Approximation theory Partial Differential Equations Applications of Mathematics Computational Mathematics and Numerical Analysis Numerical Analysis Probability Theory and Stochastic Processes Approximations and Expansions |
| ISBN | 3-319-08159-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | D. Belomestny, C. Bender, F. Dickmann, and N. Schweizer: Solving Stochastic Dynamic Programs by Convex Optimization and Simulation -- W. Dahmen, C. Huang, G. Kutyniok, W -- Q Lim, C. Schwab, and G. Welper: Efficient Resolution of Anisotropic Structures -- R. Ressel, P. Dülk, S. Dahlke, K. S. Kazimierski, and P. Maass: Regularity of the Parameter-to-state Map of a Parabolic Partial Differential Equation -- N. Chegini, S. Dahlke, U. Friedrich, and R. Stevenson: Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates -- P. A. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. Schilling: Adaptive Wavelet Methods for SPDEs -- M. Altmayer, S. Dereich, S. Li, T. Müller-Gronbach, A. Neuenkirch, K. Ritter and L. Yaroslavtseva: Constructive Quantization and Multilevel Algorithms for Quadrature of Stochastic Differential Equations -- O. G. Ernst, B. Sprungk, and H -- J. Starkloff: Bayesian Inverse Problems and Kalman Filters -- J. Diehl, P. Friz, H. Mai, H. Oberhauser, S. Riedel, and W. Stannat: Robustness in Stochastic Filtering and Maximum Likelihood Estimation for SDEs -- J. Garcke and I. Klompmaker: Adaptive Sparse Grids in Reinforcement Learning -- J. Ballani, L. Grasedyck, and M. Kluge: A Review on Adaptive Low-Rank Approximation Techniques in the Hierarchical Tensor Format -- M. Griebel, J. Hamaekers, and F. Heber: A Bond Order Dissection ANOVA Approach for Efficient Electronic Structure Calculations -- W. Hackbusch and R. Schneider: Tensor Spaces and Hierarchical Tensor Representations -- L. Jost, S. Setzer, and M. Hein: Nonlinear Eigenproblems in Data Analysis - Balanced Graph Cuts and the Ratio DCA-Prox -- M. Guillemard, D. Heinen, A. Iske, S. Krause-Solberg, and G. Plonka: Adaptive Approximation Algorithms for Sparse Data Representation -- T. Jahnke and V. Sunkara: Error Bound for Hybrid Models of Two-scaled Stochastic Reaction Systems -- R. Kiesel, A. Rupp, and K. Urban: Valuation of Structured Financial Products by Adaptive Multi wavelet Methods in High Dimensions -- L Kämmerer, S. Kunis, I. Melzer, D. Potts, and T. Volkmer: Computational Methods for the Fourier Analysis of Sparse High-Dimensional Functions -- E. Herrholz, D. Lorenz, G. Teschke, and D. Trede: Sparsity and Compressed Sensing in Inverse Problems -- C. Lubich: Low-Rank Dynamics -- E. Novak and D. Rudolf: Computation of Expectations by Markov Chain Monte Carlo Methods -- H. Yserentant: Regularity, Complexity, and Approximability of Electronic Wave functions -- Index. |
| Record Nr. | UNINA-9910299974603321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lévy Matters I [[electronic resource] ] : Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance / / by Thomas Duquesne, Oleg Reichmann, Ken-iti Sato, Christoph Schwab ; edited by Ole E Barndorff-Nielsen, Jean Bertoin, Jean Jacod, Claudia Klüppelberg
| Lévy Matters I [[electronic resource] ] : Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance / / by Thomas Duquesne, Oleg Reichmann, Ken-iti Sato, Christoph Schwab ; edited by Ole E Barndorff-Nielsen, Jean Bertoin, Jean Jacod, Claudia Klüppelberg |
| Autore | Duquesne Thomas |
| Edizione | [1st ed. 2010.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 |
| Descrizione fisica | 1 online resource (XIV, 206 p.) |
| Disciplina | 519.2 |
| Collana | Lévy Matters, A Subseries on Lévy Processes |
| Soggetto topico |
Probabilities
Probability Theory and Stochastic Processes |
| ISBN |
1-280-39180-4
9786613569721 3-642-14007-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fractional Integrals and Extensions of Selfdecomposability -- Packing and Hausdorff Measures of Stable Trees -- Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing. |
| Record Nr. | UNINA-9910483813703321 |
|
Duquesne Thomas
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lévy Matters I [[electronic resource] ] : Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance / / by Thomas Duquesne, Oleg Reichmann, Ken-iti Sato, Christoph Schwab ; edited by Ole E Barndorff-Nielsen, Jean Bertoin, Jean Jacod, Claudia Klüppelberg
| Lévy Matters I [[electronic resource] ] : Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance / / by Thomas Duquesne, Oleg Reichmann, Ken-iti Sato, Christoph Schwab ; edited by Ole E Barndorff-Nielsen, Jean Bertoin, Jean Jacod, Claudia Klüppelberg |
| Autore | Duquesne Thomas |
| Edizione | [1st ed. 2010.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 |
| Descrizione fisica | 1 online resource (XIV, 206 p.) |
| Disciplina | 519.2 |
| Collana | Lévy Matters, A Subseries on Lévy Processes |
| Soggetto topico |
Probabilities
Probability Theory and Stochastic Processes |
| ISBN |
1-280-39180-4
9786613569721 3-642-14007-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fractional Integrals and Extensions of Selfdecomposability -- Packing and Hausdorff Measures of Stable Trees -- Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing. |
| Record Nr. | UNISA-996466511003316 |
|
Duquesne Thomas
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 [[electronic resource] ] : Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 / / edited by Spencer J. Sherwin, David Moxey, Joaquim Peiró, Peter E. Vincent, Christoph Schwab
| Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 [[electronic resource] ] : Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 / / edited by Spencer J. Sherwin, David Moxey, Joaquim Peiró, Peter E. Vincent, Christoph Schwab |
| Autore | Sherwin Spencer J |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Springer Nature, 2020 |
| Descrizione fisica | 1 online resource (XI, 658 p. 178 illus., 151 illus. in color.) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Computational Science and Engineering |
| Soggetto topico |
Partial differential equations
Numerical analysis Partial Differential Equations Numerical Analysis |
| Soggetto non controllato |
Partial Differential Equations
Numerical Analysis Analysis High-order methods Partial differential equations Spectral methods Isogeometric methods Discontinuous Galerkin methods Wave simulation Uncertainty quantification Open access Differential calculus & equations Numerical analysis |
| ISBN | 3-030-39647-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations -- On the order reduction of entropy stable DGSEMfor the compressible Euler equations -- A review of regular decompositions of vector fields – continuous, discrete, and structure-preserving -- Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition -- Recurrence relations for a family of orthogonal polynomials on a triangle -- Greedy kernel methods for center manifold approximation -- An improved error inhibiting block one-step method with radial basis function approximation for ODEs -- Hermite methods in time -- HPS accelerated spectral solvers for time dependent problems: algorithms -- On the use of hermite functions for the Vlasov-Poisson system -- HPS accelerated spectral solvers for time dependent problems: numerical experiments -- High-order finite element methods for interface problems: theory and implementations -- Stabilised hybrid discontinuous galerkin methods for the Stokes problem with non-standard boundary conditions -- RBF based CWENO method -- discrete equivalence of adjoint Neumann-Dirichlet div-grad and grad-div equations in curvilinear 3D domains -- A conservative hybrid method for Darcy flow -- High-order mesh generation based on optimal affine combinations of nodal positions -- Sparse spectral-element methods for the helically reduced Einstein equations -- Spectral analysis of isogeometric discretizations of 2D curl-div Problems with general geometry -- Performance of preconditioners for large-scale simulations using Nek5000 -- Two decades old entropy stable method for the Euler equations revisited -- A mimetic spectral element method for free surface flows -- Spectral/hp methodology study for iLES-SVV on an Ahmed body -- A high–order discontinuous Galerkin solver for multiphase flows -- High-Order propagation of jet noise on a tetrahedral mesh using large eddy simulation sources -- Dynamical degree adaptivity for DG-LES models -- A novel eight-order diffusive scheme for unstructured polyhedral grids using the weighted least-squares method -- An explicit mapped tent pitching scheme for Maxwell equations -- Viscous diffusion effects in the eigenanalysis of (hybridisable) DG methods -- Spectral Galerkin method for solving Helmholtz and Laplace Dirichlet problems on multiple open arcs -- Explicit polynomial Trefftz-DG method for space-time elasto-acoustics -- An hp-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems -- Erosion Wear evaluation using Nektar++ -- An inexact Petrov-Galerkin approximation for gas transport in pipeline networks -- New preconditioners for semi-linear PDE-constrained optimal control in annular geometries -- DIRK schemes with high weak stage order -- Scheme for evolutionary Navier-Stokes-Fourier system with temperature dependent material properties based on spectral/hp elements -- Implicit large eddy simulations for NACA0012 airfoils using compressible and incompressible discontinuous Galerkin solvers -- SAV method applied to fractional Allen-Cahn equation -- A first meshless approach to simulation of the elastic behaviour of the diaphragm -- An explicit hybridizable discontinuous Galerkin method for the 3D timedomain Maxwell equations -- Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators -- Multiwavelet troubled-cell indication: a comparison of utilizing theory versus outlier detection -- An anisotropic p-adaptation multigrid scheme for discontinuous Galerkin methods -- A spectral element reduced basis method for Navier-Stokes equations with geometric variations -- Iterative spectral mollification and conjugation for successive edge detection -- Small trees for high order Whitney elements -- Non-conforming elements inNek5000: pressure preconditioning and parallel performance -- Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit -- On the convergence rate of Hermite-Fejer interpolation. |
| Record Nr. | UNINA-9910416122103321 |
|
Sherwin Spencer J
|
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| Springer Nature, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 [[electronic resource] ] : Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 / / edited by Spencer J. Sherwin, David Moxey, Joaquim Peiró, Peter E. Vincent, Christoph Schwab
| Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 [[electronic resource] ] : Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 / / edited by Spencer J. Sherwin, David Moxey, Joaquim Peiró, Peter E. Vincent, Christoph Schwab |
| Autore | Sherwin Spencer J |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Springer Nature, 2020 |
| Descrizione fisica | 1 online resource (XI, 658 p. 178 illus., 151 illus. in color.) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Computational Science and Engineering |
| Soggetto topico |
Partial differential equations
Numerical analysis Partial Differential Equations Numerical Analysis |
| Soggetto non controllato |
Partial Differential Equations
Numerical Analysis Analysis High-order methods Partial differential equations Spectral methods Isogeometric methods Discontinuous Galerkin methods Wave simulation Uncertainty quantification Open access Differential calculus & equations Numerical analysis |
| ISBN | 3-030-39647-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations -- On the order reduction of entropy stable DGSEMfor the compressible Euler equations -- A review of regular decompositions of vector fields – continuous, discrete, and structure-preserving -- Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition -- Recurrence relations for a family of orthogonal polynomials on a triangle -- Greedy kernel methods for center manifold approximation -- An improved error inhibiting block one-step method with radial basis function approximation for ODEs -- Hermite methods in time -- HPS accelerated spectral solvers for time dependent problems: algorithms -- On the use of hermite functions for the Vlasov-Poisson system -- HPS accelerated spectral solvers for time dependent problems: numerical experiments -- High-order finite element methods for interface problems: theory and implementations -- Stabilised hybrid discontinuous galerkin methods for the Stokes problem with non-standard boundary conditions -- RBF based CWENO method -- discrete equivalence of adjoint Neumann-Dirichlet div-grad and grad-div equations in curvilinear 3D domains -- A conservative hybrid method for Darcy flow -- High-order mesh generation based on optimal affine combinations of nodal positions -- Sparse spectral-element methods for the helically reduced Einstein equations -- Spectral analysis of isogeometric discretizations of 2D curl-div Problems with general geometry -- Performance of preconditioners for large-scale simulations using Nek5000 -- Two decades old entropy stable method for the Euler equations revisited -- A mimetic spectral element method for free surface flows -- Spectral/hp methodology study for iLES-SVV on an Ahmed body -- A high–order discontinuous Galerkin solver for multiphase flows -- High-Order propagation of jet noise on a tetrahedral mesh using large eddy simulation sources -- Dynamical degree adaptivity for DG-LES models -- A novel eight-order diffusive scheme for unstructured polyhedral grids using the weighted least-squares method -- An explicit mapped tent pitching scheme for Maxwell equations -- Viscous diffusion effects in the eigenanalysis of (hybridisable) DG methods -- Spectral Galerkin method for solving Helmholtz and Laplace Dirichlet problems on multiple open arcs -- Explicit polynomial Trefftz-DG method for space-time elasto-acoustics -- An hp-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems -- Erosion Wear evaluation using Nektar++ -- An inexact Petrov-Galerkin approximation for gas transport in pipeline networks -- New preconditioners for semi-linear PDE-constrained optimal control in annular geometries -- DIRK schemes with high weak stage order -- Scheme for evolutionary Navier-Stokes-Fourier system with temperature dependent material properties based on spectral/hp elements -- Implicit large eddy simulations for NACA0012 airfoils using compressible and incompressible discontinuous Galerkin solvers -- SAV method applied to fractional Allen-Cahn equation -- A first meshless approach to simulation of the elastic behaviour of the diaphragm -- An explicit hybridizable discontinuous Galerkin method for the 3D timedomain Maxwell equations -- Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators -- Multiwavelet troubled-cell indication: a comparison of utilizing theory versus outlier detection -- An anisotropic p-adaptation multigrid scheme for discontinuous Galerkin methods -- A spectral element reduced basis method for Navier-Stokes equations with geometric variations -- Iterative spectral mollification and conjugation for successive edge detection -- Small trees for high order Whitney elements -- Non-conforming elements inNek5000: pressure preconditioning and parallel performance -- Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit -- On the convergence rate of Hermite-Fejer interpolation. |
| Record Nr. | UNISA-996418274703316 |
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Sherwin Spencer J
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| Springer Nature, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 [[electronic resource] ] : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021 / / edited by Jens M. Melenk, Ilaria Perugia, Joachim Schöberl, Christoph Schwab
| Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 [[electronic resource] ] : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021 / / edited by Jens M. Melenk, Ilaria Perugia, Joachim Schöberl, Christoph Schwab |
| Autore | Melenk Jens M |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (571 pages) |
| Disciplina | 515.353 |
| Altri autori (Persone) |
PerugiaIlaria
SchöberlJoachim SchwabChristoph |
| Collana | Lecture Notes in Computational Science and Engineering |
| Soggetto topico |
Numerical analysis
Mathematics—Data processing Computer software Engineering mathematics Engineering—Data processing Mathematical physics Numerical Analysis Computational Science and Engineering Mathematical Software Mathematical and Computational Engineering Applications Mathematical Physics |
| ISBN | 3-031-20432-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910736994003321 |
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Melenk Jens M
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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