A Spectral Order Method for Inverting Sectorial Laplace Transforms
From MaRDI portal
Publication:3446843
DOI10.1137/050629653zbMath1124.65120arXivmath/0504428OpenAlexW2047808645MaRDI QIDQ3446843
Maria Lopez-Fernandez, Achim Schädle, César Palencia
Publication date: 26 June 2007
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0504428
Parallel numerical computation (65Y05) Laplace transform (44A10) Numerical methods for integral transforms (65R10)
Related Items (59)
A fast and oblivious matrix compression algorithm for Volterra integral operators ⋮ Fast numerical contour integral method for fractional diffusion equations ⋮ A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations ⋮ Parallel mixed FEM simulation of a class of single-phase models with non-local operators ⋮ Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation ⋮ Contour Integral Solution of Elliptic PDEs in Cylindrical Domains ⋮ Exponentially convergent method for the first-order differential equation in a Banach space with integral nonlocal condition ⋮ Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform ⋮ Convergence analysis of iterative Laplace transform methods for the coupled PDEs from regime-switching option pricing ⋮ A bootstrap method for sum-of-poles approximations ⋮ Evaluation of generalized Mittag-Leffler functions on the real line ⋮ A second-order accurate numerical method for a fractional wave equation ⋮ A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data ⋮ Acceleration of contour integration techniques by rational Krylov subspace methods ⋮ Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term ⋮ High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations ⋮ A hybridizable discontinuous Galerkin method for fractional diffusion problems ⋮ Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations ⋮ A kernel-independent sum-of-exponentials method ⋮ Analyses of the contour integral method for time fractional normal-subdiffusion transport equation ⋮ Model Order Reduction in Contour Integral Methods for Parametric PDEs ⋮ Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms ⋮ A fast null-space method for the unsteady Stokes equations ⋮ Higher-order schemes for the Laplace transformation method for parabolic problems ⋮ The contour integral method for Feynman-Kac equation with two internal states ⋮ Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions ⋮ Computing Semigroups with Error Control ⋮ Interval Laplace transform and its application in production inventory ⋮ A Kernel Compression Scheme for Fractional Differential Equations ⋮ Talbot quadratures and rational approximations ⋮ Efficient convolution based impedance boundary conditions ⋮ A quadrature based method for evaluating exponential-type functions for exponential methods ⋮ Generalized exponential time differencing methods for fractional order problems ⋮ Subcritical growth of a mode III crack in a viscoelastic composite body ⋮ Exponentially convergent method for an abstract nonlocal problem with integral nonlinearity ⋮ Fast and Parallel Runge--Kutta Approximation of Fractional Evolution Equations ⋮ Pseudospectral roaming contour integral methods for convection-diffusion equations ⋮ STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Fast convolution quadrature based impedance boundary conditions ⋮ A Gauss-Jacobi kernel compression scheme for fractional differential equations ⋮ Rational inversion of the Laplace transform ⋮ Exponentially Convergent Method for them-Point Nonlocal Problem for a First Order Differential Equation in Banach Space ⋮ A finite difference method for an anomalous sub-diffusion equation, theory and applications ⋮ High‐order compact finite difference and laplace transform method for the solution of time‐fractional heat equations with dirchlet and neumann boundary conditions ⋮ Numerical solution via Laplace transforms of a fractional order evolution equation ⋮ An exponentially convergent algorithm for nonlinear differential equations in Banach spaces ⋮ Exponential quadrature rules for linear fractional differential equations ⋮ Discontinuous Galerkin method for an evolution equation with a memory term of positive type ⋮ An ergodic approach to Laplace transforms on time scales ⋮ An improved Talbot method for numerical Laplace transform inversion ⋮ Numerical inverse Laplace transform for convection-diffusion equations ⋮ Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation ⋮ A Parallel-in-Time-and-Space HPC Framework for a Class of Fractional Evolution Equations ⋮ Gauss--Hermite Quadrature for the Bromwich Integral ⋮ Convergence analysis of a \textit{periodic-like} waveform relaxation method for initial-value problems via the diagonalization technique ⋮ Fast Computation of the Matrix Exponential for a Toeplitz Matrix ⋮ Parabolic and hyperbolic contours for computing the Bromwich integral ⋮ Fast Runge-Kutta approximation of inhomogeneous parabolic equations ⋮ Efficient sum-of-exponentials approximations for the heat kernel and their applications
Uses Software
This page was built for publication: A Spectral Order Method for Inverting Sectorial Laplace Transforms
