Adaptive Wavelet Methods
DOI10.1007/978-3-642-24079-9_1zbMath1250.65166OpenAlexW2139410974WikidataQ56996095 ScholiaQ56996095MaRDI QIDQ2911786
Publication date: 3 September 2012
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-24079-9_1
algorithmscomputational complexityconvergenceerror estimatescollocationB-splineswavelet basessignal and image processingsecond order elliptic equationsbasic functionmulti resolution analysis
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Numerical methods for wavelets (65T60)
Cites Work
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- Stable multiscale bases and local error estimation for elliptic problems
- Incremental unknowns for solving partial differential equations
- Symmetric iterative interpolation processes
- Fonctions à support compact dans les analyses multi-résolutions. (Functions of compact support in multi-resolution analysis)
- Wavelets with complementary boundary conditions -- functions spaces on the cube
- Wavelets on the interval and fast wavelet transforms
- Some remarks on wavelet interpolation
- Stability of multiscale transformations
- On the adaptive computation of integrals of wavelets
- Wavelet adaptive method for second order elliptic problems: Boundary conditions and domain decomposition
- Convergence of a nonlinear wavelet algorithm for the solution of PDEs
- Adaptive wavelet methods. II: Beyond the elliptic case
- A dynamically adaptive wavelet method for solving partial differential equations
- A posteriori error estimates for the wavelet Galerkin method
- A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain
- A wavelet collocation method for the numerical solution of partial differential equations
- The wavelet element method. II: Realization and additional features in 2D and 3D
- A NONLINEAR RICHARDSON ALGORITHM FOR THE SOLUTION OF ELLIPTIC PDE'S
- Adaptive wavelet collocation method for the solution of Burgers equation
- An optimal adaptive wavelet method without coarsening of the iterands
- Orthonormal bases of compactly supported wavelets
- Ten Lectures on Wavelets
- Biorthogonal bases of compactly supported wavelets
- Composite wavelet bases for operator equations
- Multiscale decompositions on bounded domains
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- Wavelet Least Squares Methods for Boundary Value Problems
- Using the Refinement Equation for Evaluating Integrals of Wavelets
- Multiresolution representations using the autocorrelation functions of compactly supported wavelets
- Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions
- An Adaptive Wavelet Collocation Method for Fluid-Structure Interaction at High Reynolds Numbers
- An introduction to frames and Riesz bases
