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A partial differential equation for pseudocontact shift [PDF]

open access: yesPhysical Chemistry, Chemical Physics - PCCP, 2014
It is demonstrated that pseudocontact shift (PCS), viewed as a scalar or a tensor field in three dimensions, obeys an elliptic partial differential equation with a source term that depends on the Hessian of the unpaired electron probability density.
Charnock, G.T.P., Kuprov, Ilya
core   +3 more sources

Parameter Estimation of Partial Differential Equation Models. [PDF]

open access: yesJ Am Stat Assoc, 2013
Partial differential equation (PDE) models are commonly used to model complex dynamic systems in applied sciences such as biology and finance. The forms of these PDE models are usually proposed by experts based on their prior knowledge and understanding ...
Xun X   +4 more
europepmc   +2 more sources

Hyperdeterminant and an integrable partial differential equation [PDF]

open access: yesarXiv, 2011
We discuss an integrable partial differential equation arising from the hyperdeterminant.
Steeb, Willi-Hans
arxiv   +4 more sources

Oscillation of a time fractional partial differential equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
We consider a time fractional partial differential equation subject to the Neumann boundary condition. Several sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method and a generalized ...
P. Prakash   +3 more
doaj   +2 more sources

In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis [PDF]

open access: yesJournal of Pain Research, 2015
Oscar A Linares,1 William E Schiesser,2 Jeffrey Fudin,3–6 Thien C Pham,6 Jeffrey J Bettinger,6 Roy O Mathew,6 Annemarie L Daly7 1Translational Genomic Medicine Lab, Plymouth Pharmacokinetic Modeling Study Group, Plymouth, MI, 2Department of ...
Linares OA   +6 more
doaj   +2 more sources

On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]

open access: yesOpuscula Mathematica, 2021
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj   +1 more source

Min-max differential game with partial differential equation

open access: yesAIMS Mathematics, 2022
In this paper, we are concerned with a min-max differential game with Cauchy initial value problem (CIVP) as the state trajectory for the differential game, we studied the analytical solution and the approximate solution by using Picard method (PM) of ...
Ebrahim. A. Youness   +3 more
doaj   +1 more source

Existence and Uniqueness in the Linearised One and Two-dimensional Problem of Partial Differential Equations With Variational Method

open access: yesJurnal Matematika UNAND, 2022
The classical solution and the strong solution of a partial differential equation problem are continuously differentiable solutions. This solution has a derivative for a continuous infinity level.
Bayu Prihandono   +2 more
doaj   +1 more source

On Some Results of the Nonuniqueness of Solutions Obtained by the Feynman–Kac Formula

open access: yesMathematics, 2023
The Feynman–Kac formula establishes a link between parabolic partial differential equations and stochastic processes in the context of the Schrödinger equation in quantum mechanics.
Byoung Seon Choi, Moo Young Choi
doaj   +1 more source

Developmental Partial Differential Equations [PDF]

open access: yes2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper, we introduce the concept of Developmental Partial Differential Equation (DPDE), which consists of a Partial Differential Equation (PDE) on a time-varying manifold with complete coupling between the PDE and the manifold's evolution.
Pouradier Duteil, Nastassia   +3 more
openaire   +6 more sources

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