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Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160410705openalex-snapshot
Orthonormal bases of compactly supported wavelets
inferredcites →https://doi.org/10.1002/cpa.3160450502openalex-snapshot
Biorthogonal bases of compactly supported wavelets
inferredcites →https://doi.org/10.1007/978-3-0348-5685-0_5openalex-snapshot
On Stationary Subdivision And the Construction of Compactly Supported Orthonormal Wavelets
inferredcites →https://doi.org/10.1007/bf01385864openalex-snapshot
Multilevel preconditioning
inferredcites →https://doi.org/10.1007/bf01389538openalex-snapshot
On the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1016/0021-9045(92)90120-dopenalex-snapshot
A general framework of compactly supported splines and wavelets
inferredcites →https://doi.org/10.1016/b978-0-12-438660-0.50036-4openalex-snapshot
Using the Refinement Equations for the Construction of Pre-Wavelets II: Powers of Two
inferredcites →https://doi.org/10.1090/memoopenalex-snapshot
Memoirs of the American Mathematical Society
inferredcites →https://doi.org/10.1090/s0002-9947-1989-1008470-5openalex-snapshot
Multiresolution approximations and wavelet orthonormal bases of 𝐿²(𝑅)
inferredcites →https://doi.org/10.1090/s0002-9947-1992-1076613-3openalex-snapshot
On Compactly Supported Spline Wavelets and a Duality Principle
inferredcites →https://doi.org/10.1137/0523058openalex-snapshot
Sobolev Characterization of Solutions of Dilation Equations
inferredcites →https://doi.org/10.1137/1.9781611970067.ch2openalex-snapshot
2. Stationary Subdivision

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Wavelet Methods for Solving Integral and Differential Equations
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Application of Wavelets to Electromagnetic Problems
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Application of Wavelets and Machine Learning Techniques to Electromagnetic Problems
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Wavelets in Boundary Value Problems
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Application of Wavelets and Machine Learning Techniques to Electromagnetic Problems
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Wavelet Galerkin method in multi-scale homogenization of heterogeneous media
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An Adaptive Wavelet–Vaguelette Algorithm for the Solution of PDEs
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Fourier Analysis of Petrov-Galerkin Methods Based on Biorthogonal Multiresolution Analyses
inferred← citeshttps://doi.org/10.1007/978-1-4615-2708-4_7openalex-snapshot
Use of Wavelets for Numerical Solution of Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-85570-2openalex-snapshot
An Introduction to Wavelets Through Linear Algebra
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An Overview of the Theory and Applications of Wavelets
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Biorthogonal Wavelets and Multigrid
inferred← citeshttps://doi.org/10.1007/978-94-011-5320-1_11openalex-snapshot
Wavelet Approach to Polynomial Mechanical Problems
inferred← citeshttps://doi.org/10.1007/bf02123473openalex-snapshot
On divergence-free wavelets
inferred← citeshttps://doi.org/10.1007/bf02123478openalex-snapshot
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems
inferred← citeshttps://doi.org/10.1007/bf03167267openalex-snapshot
Biorthogonal wavelets adapted to integral operators and their applications
inferred← citeshttps://doi.org/10.1007/bf03168577openalex-snapshot
A construction method for data adapted wavelet
inferred← citeshttps://doi.org/10.1007/s00211-010-0288-5openalex-snapshot
A sparse Laplacian in tensor product wavelet coordinates
inferred← citeshttps://doi.org/10.1007/s00466-011-0586-5openalex-snapshot
A second generation wavelet based finite elements on triangulations
inferred← citeshttps://doi.org/10.1007/s10665-012-9579-4openalex-snapshot
Multiscale modeling of beam and plates using customized second-generation wavelets
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.02.018openalex-snapshot
Operator-adapted wavelets for finite-element differential forms
inferred← citeshttps://doi.org/10.1016/j.matcom.2019.12.016openalex-snapshot
Electromagnetic device modeling using a new adaptive wavelet finite element method
inferred← citeshttps://doi.org/10.1016/s0378-4754(98)00081-0openalex-snapshot
Wavelets in optimization and approximations
inferred← citeshttps://doi.org/10.1016/s1874-608x(97)80003-9openalex-snapshot
Multilevel Solvers for Elliptic Problems on Domains
inferred← citeshttps://doi.org/10.1017/9781108594967openalex-snapshot
Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
inferred← citeshttps://doi.org/10.1017/9781108594967.001openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1017/9781108594967.002openalex-snapshot
Acknowledgements
inferred← citeshttps://doi.org/10.1017/9781108594967.003openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1017/9781108594967.005openalex-snapshot
Sobolev Space Basics
inferred← citeshttps://doi.org/10.1017/9781108594967.006openalex-snapshot
Optimal Recovery Splines
inferred← citeshttps://doi.org/10.1017/9781108594967.007openalex-snapshot
Numerical Homogenization
inferred← citeshttps://doi.org/10.1017/9781108594967.008openalex-snapshot
Operator-Adapted Wavelets
inferred← citeshttps://doi.org/10.1017/9781108594967.009openalex-snapshot
Fast Solvers
inferred← citeshttps://doi.org/10.1017/9781108594967.011openalex-snapshot
Gaussian Fields
inferred← citeshttps://doi.org/10.1017/9781108594967.012openalex-snapshot
Optimal Recovery Games on Hs0(Ω)
inferred← citeshttps://doi.org/10.1017/9781108594967.013openalex-snapshot
Gamblets
inferred← citeshttps://doi.org/10.1017/9781108594967.014openalex-snapshot
Hierarchical Games
inferred← citeshttps://doi.org/10.1017/9781108594967.016openalex-snapshot
Banach Space Basics
inferred← citeshttps://doi.org/10.1017/9781108594967.017openalex-snapshot
Optimal Recovery Splines
inferred← citeshttps://doi.org/10.1017/9781108594967.018openalex-snapshot
Gamblets
inferred← citeshttps://doi.org/10.1017/9781108594967.019openalex-snapshot
Bounded Condition Numbers
inferred← citeshttps://doi.org/10.1017/9781108594967.020openalex-snapshot
Exponential Decay
inferred← citeshttps://doi.org/10.1017/9781108594967.021openalex-snapshot
Fast Gamblet Transform
inferred← citeshttps://doi.org/10.1017/9781108594967.023openalex-snapshot
Gaussian Measures, Cylinder Measures, and Fields on B
inferred← citeshttps://doi.org/10.1017/9781108594967.024openalex-snapshot
Optimal Recovery Games on B
inferred← citeshttps://doi.org/10.1017/9781108594967.025openalex-snapshot
Game Theoretic Interpretation of Gamblets
inferred← citeshttps://doi.org/10.1017/9781108594967.026openalex-snapshot
Survey of Statistical Numerical Approximation
inferred← citeshttps://doi.org/10.1017/9781108594967.028openalex-snapshot
Positive Definite Matrices
inferred← citeshttps://doi.org/10.1017/9781108594967.029openalex-snapshot
Nonsymmetric Operators
inferred← citeshttps://doi.org/10.1017/9781108594967.030openalex-snapshot
Time-Dependent Operators
inferred← citeshttps://doi.org/10.1017/9781108594967.031openalex-snapshot
Dense Kernel Matrices
inferred← citeshttps://doi.org/10.1017/9781108594967.033openalex-snapshot
Fundamental Concepts
inferred← citeshttps://doi.org/10.1017/9781108594967.034openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1017/9781108594967.035openalex-snapshot
Glossary
inferred← citeshttps://doi.org/10.1017/9781108594967.036openalex-snapshot
Index
inferred← citeshttps://doi.org/10.1017/9781108594967.037openalex-snapshot
Identities
inferred← citeshttps://doi.org/10.1017/s0962492900002713openalex-snapshot
Wavelet and multiscale methods for operator equations
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A quasi-wavelet algorithm for second kind boundary integral equations
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Multiresolution analysis and wavelets onS2andS3
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Multi-scale modelling of heterogeneous materials with fixed and evolving microstructures
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An adaptive two-dimensional wavelet-vaguelette algorithm for the computation of flame balls
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Generalized hierarchical bases: a Wavelet‐Ritz‐Galerkin framework for Lagrangian FEM
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Wavelets in dynamics, optimal control and Galerkin approximations
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A scalable parallel wavelet transform based Finite element solver
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Simulation-based design using wavelets
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An Overview of Wavelet Based Multiresolution Analyses
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OPERATOR-ADAPTED WAVELETS: CONNECTION WITH THE STRANG–FIX CONDITIONS
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ELLIPTIC SCALING FUNCTIONS AS COMPACTLY SUPPORTED MULTIVARIATE ANALOGS OF THE B-SPLINES
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Ya Es Tiempo para Revitalizar los Derechos al Voto de los Puertorriquenos
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The Use of Wavelet Transforms in the Solution of Two-Phase Flow Problems
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STUDY FOR APPLICABILITY TO DIFFERENCIAL EQUATION USING THE WAVELET TRANSFORM
inferred← citeshttps://doi.org/10.4208/jcm.v24.n1.p81openalex-snapshot
Spectral Approximation Orders of Multidimensional Nonstationary Biorthogonal Semi-Multiresolution Analysis in Sobolev Space
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Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis
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Wavelet Based Simulation of Elastic Wave Propagation
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