Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations
type: Item
instance of: scholarly article
title: Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations
zbMATH Open document ID: 1089.65103
author: Jahrul M. Alam
author: Oleg V. Vasilyev
author: Nicholas K.-R. Kevlahan
published in: Journal of Computational Physics
publication date: 2006-04-28T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 5020827
zbMATH Keywords: Lifting scheme
zbMATH Keywords: Second generation wavelets
zbMATH Keywords: Adaptive grid
zbMATH Keywords: Multi-level method
zbMATH Keywords: Multi-grid method
zbMATH Keywords: error control
zbMATH Keywords: numerical examples
zbMATH Keywords: comparison of methods
zbMATH Keywords: Burgers equation
zbMATH Keywords: adaptive wavelet collocation method
zbMATH Keywords: time marching method
describes a project that uses: Wesseling
MaRDI profile type: Publication
full work available at URL: j.jcp.2005.10.009
OpenAlex ID: W2153361604
cites work: Adaptive multiscale schemes for conservation laws
cites work: Q5180998
cites work: Q4772880
cites work: Q4499093
cites work: Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization
cites work: Q5290422
cites work: Multi-Level Adaptive Solutions to Boundary-Value Problems
cites work: Error Estimates for Adaptive Finite Element Computations
cites work: A‐posteriori error estimates for the finite element method
cites work: Q3920583
cites work: Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
cites work: Adaptive error control for multigrid finite element methods
cites work: A Posteriori Error Estimates for Elliptic Problems in Two and Three Space Dimensions
cites work: A posteriori error estimation and adaptive mesh-refinement techniques
cites work: Q4847732
cites work: Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity
cites work: Stable multiscale bases and local error estimation for elliptic problems
cites work: Adaptive wavelet methods for elliptic operator equations: Convergence rates
cites work: Adaptive wavelet schemes for elliptic problems--implementation and numerical experiments
cites work: A wavelet based space-time adaptive numerical method for partial differential equations
cites work: Adaptive multiresolution schemes for shock computations
cites work: Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
cites work: A multilevel wavelet collocation method for solving partial differential equations in a finite domain
cites work: A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain
cites work: Adaptive Multiresolution Collocation Methods for Initial-Boundary Value Problems of Nonlinear PDE<scp>s</scp>
cites work: A fast adaptive wavelet collocation algorithm for multidimensional PDEs
cites work: On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases
cites work: An adaptive wavelet-vaguelette algorithm for the solution of PDEs
cites work: A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
cites work: Adaptive wavelet methods for hyperbolic PDEs
cites work: Solving Hyperbolic PDEs Using Interpolating Wavelets
cites work: Second-generation wavelet collocation method for the solution of partial differential equations
cites work: Solving Multi-dimensional Evolution Problems with Localized Structures using Second Generation Wavelets
cites work: Q3973647
cites work: Singularity detection and processing with wavelets
cites work: Wavelet–Galerkin solutions for one‐dimensional partial differential equations
cites work: Wavelet solutions for the Dirichlet problem
cites work: Comparison of an adaptive wavelet method and nonlinearly filtered pseudospectral methods for two-dimensional turbulence
cites work: The nonlinear Galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows
cites work: The Lifting Scheme: A Construction of Second Generation Wavelets
cites work: An adaptive multilevel wavelet collocation method for elliptic problems
cites work: Hybrid wavelet collocation–Brinkman penalization method for complex geometry flows
cites work: An Adaptive Wavelet Collocation Method for Fluid-Structure Interaction at High Reynolds Numbers
cites work: Stochastic coherent adaptive large eddy simulation method
cites work: Mechanical integrators derived from a discrete variational principle
cites work: Symplectic-energy-momentum preserving variational integrators
cites work: Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
cites work: Discrete mechanics and variational integrators
cites work: The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
cites work: Asynchronous variational integrators

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: An Overview of Wavelet Based Multiresolution Analyses

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Q4434436

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Phase Space Error Control for Dynamical Systems

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: M<scp>ODELING</scp> A<scp>RTIFICIAL</scp> B<scp>OUNDARY</scp> C<scp>ONDITIONS FOR</scp> C<scp>OMPRESSIBLE</scp> F<scp>LOW</scp>

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Q3915309

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Q4855462

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Q4194448

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Q4004051

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Q3698230

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: A multigrid solver for the steady state Navier-Stokes equations using the pressure-Poisson formulation

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: A multigrid algorithm for nonlocal collisional electrostatic drift-wave turbulence

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Spectral and finite difference solutions of the Burgers equations

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: A moving mesh method for one-dimensional hyperbolic conservation laws

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Stochastic differential equation models of vortex merging and reconnection

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: A fast algorithm for particle simulations

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: A fast adaptive multipole algorithm in three dimensions

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Krylov methods for the incompressible Navier-Stokes equations

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Q4264758

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (cites work)
cites work: Energy-conserving simulation of incompressible electro-osmotic and pressure-driven flow

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (DOI)
DOI: 10.1016/J.JCP.2005.10.009

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: Space-time adaptive wavelet methods for parabolic evolution problems
Similarity Score: 0.9584554
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: Q4359440
Similarity Score: 0.95142186
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: A wavelet based space-time adaptive numerical method for partial differential equations
Similarity Score: 0.9430947
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: Optimal space-time adaptive wavelet methods for degenerate parabolic PDEs
Similarity Score: 0.93784505
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations
Similarity Score: 0.93320316
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
Similarity Score: 0.928742
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: A simultaneous space-time wavelet method for nonlinear initial boundary value problems
Similarity Score: 0.9270593
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: Efficient space‐time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space
Similarity Score: 0.9248212
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: Two adaptive wavelet algorithms for nonlinear parabolic partial differential equations
Similarity Score: 0.9220969
Recommender Run: Recommender Run 3

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations (Recommended article)
Recommended article: A fully adaptive wavelet algorithm for parabolic partial differential equations
Similarity Score: 0.91616625
Recommender Run: Recommender Run 3