Fast Nyström Methods for Parabolic Boundary Integral Equations
From MaRDI portal
Publication:2902585
DOI10.1007/978-3-642-25670-7_6zbMath1248.65104OpenAlexW11165392MaRDI QIDQ2902585
Publication date: 21 August 2012
Published in: Fast Boundary Element Methods in Engineering and Industrial Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-25670-7_6
heat equationnumerical examplesfast multipole methodNyström methodAbel integral operatorsparabolic boundary integral operatorssurface quadrature rules
Heat equation (35K05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
Related Items (7)
A fast Galerkin method for parabolic space-time boundary integral equations ⋮ A fast sparse grid based space-time boundary element method for the nonstationary heat equation ⋮ A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation ⋮ A time-adaptive space-time FMM for the heat equation ⋮ A semi-analytical approach to Green's functions for heat equation in regions of irregular shape ⋮ A shape optimization method for moving interface problems governed by the heat equation ⋮ An Efficient Galerkin Boundary Element Method for the Transient Heat Equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary integral operators for the heat equation
- Nyström discretization of parabolic boundary integral equations
- A fast method for solving the heat equation by layer potentials
- The generalized Euler-Maclaurin formula for the numerical solution of Abel-type integral equations
- A new version of the fast Gauss transform
- Time discretization of parabolic boundary integral equations
- Application of `operational quadrature methods' in time domain boundary element methods
- A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind
- Spectral approximation of the free-space heat kernel
- Approximation of integral operators by variable-order interpolation
- The spline collocation method for parabolic boundary integral equations on smooth curves
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the First Kind
- Multidimensional Fast Gauss Transforms by Chebyshev Expansions
- High Order Accurate Methods for the Evaluation of Layer Heat Potentials
- Fast Numerical Solution of Nonlinear Volterra Convolution Equations
- Boundary Integral Solutions of the Heat Equation
- Numerical Simulations of Unsteady Crystal Growth
- Application of the boundary element method to transient heat conduction
- Boundary integral solution of the two-dimensional heat equation
- An Improved Fast Multipole Algorithm for Potential Fields on the Line
- On the Spline Collocation Method for the Single-Layer Heat Operator Equation
- Fast Adaptive Methods for the Free-Space Heat Equation
- The Numerical Solution of Integral Equations of the Second Kind
- A Kronecker Product Representation of the Fast Gauss Transform
- Higher-order boundary element methods for transient diffusion problems. Part I: Bounded flux formulation
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Numerical Evaluation of Surface Integrals in Three Dimensions
- Nyström’s Method and Iterative Solvers for the Solution of the Double-Layer Potential Equation over Polyhedral Boundaries
- Numerical solution of parabolic equations in high dimensions
- A method of solution for certain problems of transient heat conduction
- A fast algorithm for the evaluation of heat potentials
- The Fast Gauss Transform
- Linear integral equations
- Multilevel approximation of boundary integral operators
This page was built for publication: Fast Nyström Methods for Parabolic Boundary Integral Equations
