Results 41 to 50 of about 284,284 (328)
The Laplace Virtual Fields Method for the direct extraction of viscoelastic properties of materials
This work proposes a new method aiming at the direct identification of viscoelastic properties of materials with a Laplace formalism implemented in the Virtual Fields Method and named L-VFM.
Marcot, Quentin+3 more
doaj +1 more source
Abstract In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial degree p$$ p $$, we show that the resulting coefficient matrices possess a Toeplitz‐like structure. We investigate their spectral properties via their symbol and we prove that, like for
Mariarosa Mazza+3 more
wiley +1 more source
Algebraic inversion of the Laplace transform
AbstractA new algebraic scheme for inverting Laplace transforms of smooth functions is presented. Expansion of the Laplace transform F(s) in descending powers of s is used to construct the Taylor series of the corresponding time function f(t). This is done through entirely algebraic evaluations of F(s) at symmetric points around circles in the complex ...
G. M. Genin, P. G. Massouros
openaire +2 more sources
Mass Hierarchies and Quantum Gravity Constraints in DKMM‐refined KKLT
Abstract We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3‐brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed “the throat fitting into the bulk” directly from the Klebanov‐Strassler geometry.
Ralph Blumenhagen+2 more
wiley +1 more source
Numerical Inverse Laplace Transform for Solving a Class of Fractional Differential Equations
This paper discusses the applications of numerical inversion of the Laplace transform method based on the Bernstein operational matrix to find the solution to a class of fractional differential equations.
D. Rani, Vinod Mishra, C. Cattani
semanticscholar +1 more source
The Generalized Stieltjes Transform and Its Inverse [PDF]
The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter $\rho > 0$. In previous work a convenient form of the inverse transformation was derived for the case $\rho = 3/2$. This paper generalizes that result to all $\rho > 0$.
arxiv +1 more source
Avoiding the Kauzmann Paradox via Interface‐Driven Divergence in States
Interface‐driven stress in core‐shell particle architecture caused by surface speciation creates divergence of associated stress vectors, resulting in nonequilibrium fluxes and deep supercooling. Analysis of nonequilibrium phase models reveals that the addition of an intermediary interfacial state results in evolution in the thermodynamic speed limits ...
Andrew Martin+2 more
wiley +2 more sources
Differential equations involving fractional order operators appear frequently in various research areas. Solving a differential equation containing a fractional derivative is very difficult.
Kamran+4 more
doaj
In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
Lufeng Yang
doaj +1 more source
An inverse problem of determining fractional orders in a fractal solute transport model [PDF]
A fractal mobile-immobile (MIM in short) solute transport model in porous media is set forth, and an inverse problem of determining the fractional orders by the additional measurements at one interior point is investigated by Laplace transform. The unique existence of the solution to the forward problem is obtained based on the inverse Laplace ...
arxiv