Solution of fractional order heat equation via triple Laplace transform in 2 dimensions
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4646
Abstract: In this article, we introduce the triple Laplace transform for the solution of a class of fractional order partial differential equations. As a consequence, fractional order homogeneous heat equation in 2 dimensions is investigated in… read more here.
Keywords: fractional order; triple laplace; laplace transform; laplace ... See more keywords
Hyperpolarized Laplace NMR
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DOI: 10.1002/mrc.4722
Abstract: Laplace nuclear magnetic resonance (NMR), dealing with NMR relaxation and diffusion experiments, reveals details of molecular motion and provides chemical resolution complementary to NMR spectra. Laplace NMR has witnessed a great progress in past decades… read more here.
Keywords: methodology; laplace nmr; laplace; chemistry ... See more keywords
Regularized inversion of the Laplace transform for series of experiments
Sign Up to like & getrecommendations! Published in 2019 at "Magnetic Resonance in Chemistry"
DOI: 10.1002/mrc.4836
Abstract: Not only in low‐field nuclear magnetic resonance, Laplace inversion is a relevant and challenging topic. Considerable conceptual and technical progress has been made, especially for the inversion of data encoding two decay dimensions. Distortion of… read more here.
Keywords: laplace; regularized inversion; one dimensional; series ... See more keywords
Fundamental Solution for Natural Powers of the Fractional Laplace and Dirac Operators in the Riemann–Liouville Sense
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DOI: 10.1007/s00006-019-1029-1
Abstract: In this paper, we study the fundamental solution of natural powers of the n-parameter fractional Laplace and Dirac operators defined via Riemann–Liouville fractional derivatives. To do this we use iteration through the fractional Poisson equation… read more here.
Keywords: laplace; natural powers; fractional laplace; dirac operators ... See more keywords
Sectorial Extensions, via Laplace Transforms, in Ultraholomorphic Classes Defined by Weight Functions
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DOI: 10.1007/s00025-018-0951-1
Abstract: We prove several extension theorems for Roumieu ultraholomorphic classes of functions in sectors of the Riemann surface of the logarithm which are defined by means of a weight function or weight matrix. Our main aim… read more here.
Keywords: via laplace; laplace; ultraholomorphic classes; laplace transforms ... See more keywords
On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems
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DOI: 10.1007/s00211-020-01131-1
Abstract: The Bayesian approach to inverse problems provides a rigorous framework for the incorporation and quantification of uncertainties in measurements, parameters and models. We are interested in designing numerical methods which are robust w.r.t. the size… read more here.
Keywords: laplace approximation; monte carlo; laplace;
Portable microfluidic platform employing Young–Laplace pumping enabling flowrate controlled applications
Sign Up to like & getrecommendations! Published in 2021 at "Microfluidics and Nanofluidics"
DOI: 10.1007/s10404-021-02449-4
Abstract: Facile, customizable platforms are important for a variety of microfluidic applications. This work presents a platform that utilizes surface tension induced pumping based on Young–Laplace pressure. The approach allows modifiable transport of fluids across surfaces… read more here.
Keywords: young laplace; flowrate controlled; laplace chip; laplace ... See more keywords
A triple reciprocity method in Laplace transform boundary element method for three-dimensional transient heat conduction problems
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2017.06.073
Abstract: Abstract In this paper, a boundary element method employing the Laplace transform is developed to solve the three-dimensional transient heat conduction problems. The fundamental solution for the modified Helmholtz equation is adopted in order to… read more here.
Keywords: laplace; triple reciprocity; method; boundary element ... See more keywords
Explicit solutions to utility maximization problems in a regime-switching market model via Laplace transforms
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2018.04.005
Abstract: We study the problem of utility maximization from terminal wealth in which an agent optimally builds her portfolio by investing in a bond and a risky asset. The asset price dynamics follow a diffusion process… read more here.
Keywords: regime switching; laplace; utility; utility maximization ... See more keywords
Lagrangian-Laplace Dynamic Mechanical Analysis and Modeling of Inverted Pendulum
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DOI: 10.1016/j.promfg.2019.06.013
Abstract: Abstract As a result of increase in application of robotics in medicine, agriculture, Military, Industries Explorations and Entertainment, there has been an increase in inverted pendulum analysis as regards its motion, stability, and control. This… read more here.
Keywords: lagrangian laplace; laplace dynamic; dynamic mechanical; inverted pendulum ... See more keywords
LAPLACE BOUNDS APPROXIMATION FOR AMERICAN OPTIONS
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DOI: 10.1017/s0269964820000492
Abstract: In this paper, we develop the lower–upper-bound approximation in the space of Laplace transforms for pricing American options. We construct tight lower and upper bounds for the price of a finite-maturity American option when the… read more here.
Keywords: bound; american options; laplace bounds; bounds approximation ... See more keywords