Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials
From MaRDI portal
Publication:5531441
DOI10.1137/0703055zbMath0152.15401OpenAlexW1971657177MaRDI QIDQ5531441
William Thomas Guy, Jr., Michael K. Miller
Publication date: 1966
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0703055
Related Items (68)
Unnamed Item ⋮ Dynamic Fracture Analysis for a Penny-Shaped Crack in an FGM Interlayer between Dissimilar Half Spaces ⋮ Dynamic investigation of a functionally graded layered structure with a crack crossing the interface ⋮ Transient anti-plane crack problem for two bonded functionally graded piezoelectric materials ⋮ Transient response of an annular interfacial crack between dissimilar piezoelectric layers under mechanical and electrical impacts ⋮ Transient response of an interfacial crack between dissimilar magnetoelectroelastic layers under magnetoelectromechanical impact loadings: mode-I problem ⋮ Fracture analysis on a piezoelectric sensor with a viscoelastic interface ⋮ The transient analysis of a conducting crack in magneto-electro-elastic half-space under anti-plane mechanical and in-plane electric and magnetic impacts ⋮ Transient dynamic stress intensity factors around two rectangular cracks in a nonhomogeneous interfacial layer between two dissimilar elastic half-spaces under impact load ⋮ Dynamic stress intensity factors around two rectangular cracks in a half-space under impact load ⋮ Modeling method for the crack problem of a functionally graded interfacial zone with arbitrary material properties ⋮ Numerical inversion of laplace transforms using contour methods ⋮ Electromechanical impact of an impermeable parallel crack in a functionally graded piezoelectric strip ⋮ Recursive pseudo-inversion of the Laplace transform on the real line ⋮ Thermoelastic analysis of a partially insulated crack in a strip under thermal impact loading using the hyperbolic heat conduction theory ⋮ Boundary element method for solving dynamical response of viscoelstic thin plate. I ⋮ Dynamic stress intensity factors around two parallel cracks in an infinite elastic plate ⋮ A viscoelastic fracture mechanics model for a functionally graded materials strip with general mechanical properties ⋮ The solution of the time-independent neutron slowing down equation using a numerical laplace transform inversion ⋮ Some identity relations between plane problems for viscoelasticity and elasticity ⋮ The transient fracture behavior for a functionally graded layered structure subjected to an in-plane impact load ⋮ Dynamic fracture analysis of an annular interfacial crack between dissimilar magnetoelectroelastic layers ⋮ Non-Fourier thermoelastic interaction of two collinear cracks in a functionally graded layer ⋮ Inertia effect analysis of a half‐plane with an induced crack under thermal loading using hyperbolic heat conduction ⋮ Dynamic stresses around an interface crack between a nonhomogeneous bonding layer and two dissimilar orthotropic half-spaces subject to an impact load ⋮ Least squares coefficients for a quadrature formula for Laplace transform inversion ⋮ Dynamic response of a cracked thermopiezoelectric strip under thermoelectric loading using fractional heat conduction ⋮ Penny-Shaped Crack in a Poroelastic Plate ⋮ Transient response of a finite crack in an orthotropic strip under the in-plane shear impact ⋮ Thermal shock fracture associated with a unified fractional heat conduction ⋮ Quasi-static analysis for viscoelastic Timoshenko beams with damage ⋮ Transient response of a functionally graded piezoelectric strip with a penny-shaped crack under electric time-dependent loading ⋮ Dynamic stress intensity factors of two collinear mode-III cracks perpendicular to and on the two sides of a bi-FGM weak-discontinuous interface ⋮ Thermal shock fracture of a crack in a functionally gradient half-space based on the memory-dependent heat conduction model ⋮ A cracked functionally graded piezoelectric material strip under transient thermal loading ⋮ Plane impact of a cracked viscoelastic body ⋮ An electro-magneto-thermo-visco-elastic problem in an infinite medium with a cylindrical hole ⋮ Dynamic stress field for torsional impact of a penny-shaped crack in a transversely isotropic functional graded strip ⋮ A thermoviscoelastic problem of an infinite medium with a spherical cavity using generalized theory of thermoelasticity ⋮ Jacobi polynomials used to invert the laplace transform ⋮ Transient response of a rectangular piezoelectric medium with a center crack ⋮ Dynamic fracture mechanics study of an electrically impermeable mode III crack in a transversely isotropic piezoelectric material under pure electric load ⋮ Anti-plane transient fracture analysis of the functionally gradient elastic bi-material weak/infinitesimal-discontinuous interface ⋮ Dynamic stress intensity factor of a functionally graded material under antiplane shear loading ⋮ Transient response of a mode III crack in an orthotropic functionally graded strip ⋮ A perturbation-boundary integral equation method for transient dynamics of nonlinear elastic materials ⋮ Anti-plane problem of periodic cracks in a functionally graded coating-substrate structure ⋮ Dynamic stress intensity factors for two parallel interface cracks between a nonhomogeneous bonding layer and two dissimilar elastic half-planes subject to an impact load ⋮ Fractional single-phase lag heat conduction and transient thermal fracture in cracked viscoelastic materials ⋮ Stochastic transforms for jump diffusion processes combined with related backward stochastic differential equations ⋮ Elastodynamic response of a penny-shaped crack in a cylinder of finite radius ⋮ Dynamic stress intensity factors around three parallel cracks in an infinite medium during a passage of impact normal stresses ⋮ Thermal shock fracture of an elastic half-space with a subsurface penny-shaped crack via fractional thermoelasticity ⋮ Dynamic stress intensity factors around two cracks near an interface of two dissimilar elastic half-planes under in-plane shear impact load ⋮ The anti-plane dynamic fracture analysis of functionally graded materials with arbitrary spatial variations of material properties ⋮ Fracture analysis of a weak-discontinuous interface in a symmetrical functionally gradient composite strip loaded by anti-plane impact ⋮ Numerical inversion of the Laplace transform: a survey and comparison of methods ⋮ Mechanical modeling and transient anti-plane fracture analysis for the graded inter-diffusion regions in a bonded structure ⋮ Boundary element method for solving dynamical response of viscoelastic thin plate. II: Theoretical analysis ⋮ Dynamic stress intensity factor of a crack perpendicular to the weak-discontinuous interface in a nonhomogeneous coating-substrate structure ⋮ Dynamic stress field around the mode III crack tip in an orthotropic functionally graded material ⋮ Diffraction of a stress wave by a cylindrical cavity in an infinite elastic strip ⋮ Torsional impact of a layer or a cylinder bonded to an elastic half- space ⋮ Dynamic response of a cracked magnetoelectroelastic layer sandwiched between two elastic layers ⋮ Numerical inversion of the Laplace transform by the use of Pollaczek polynomials ⋮ Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip ⋮ Non-Fourier thermal fracture analysis of a Griffith interface crack in orthotropic functionally graded coating/substrate structure ⋮ Reaction of an elastic shaft with a system of disk-shaped cracks to the action of a torsional shock
This page was built for publication: Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials