ON THE COMPUTATION OF HIGH‐DIMENSIONAL POTENTIALS OF ADVECTION–DIFFUSION OPERATORS

DOI10.1112/S0025579314000412zbMath1432.65179OpenAlexW2074676859MaRDI QIDQ5255881

Flavia Lanzara, Gunther Schmidt

Publication date: 22 June 2015

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579314000412

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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The Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 Tensor ⋮ Approximation of solutions to multidimensional parabolic equations by approximate approximations ⋮ Fast computation of the multidimensional fractional Laplacian ⋮ Approximation of solutions to equations in static thermoelasticity ⋮ A fast solution method for time dependent multidimensional Schrödinger equations ⋮ Fast cubature of high dimensional biharmonic potential based on approximate approximations ⋮ Approximate approximations: recent developments in the computation of high dimensional potentials

Cites Work

• Accurate cubature of volume potentials over high-dimensional half-spaces
• Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension
• Double exponential formulas for numerical integration
• Fast cubature of volume potentials over rectangular domains by approximate approximations
• Extension of the range of a differentiable function
• Towards a General Error Theory of the Trapezoidal Rule
• On the fast computation of high dimensional volume potentials
• Numerical operator calculus in higher dimensions
• Algorithms for Numerical Analysis in High Dimensions

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