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A partial differential equation for pseudocontact shift [PDF]
Physical Chemistry, Chemical Physics - PCCP, 2014It 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]
J Am Stat Assoc, 2013Partial 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]
arXiv, 2011We 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
Electronic Journal of Qualitative Theory of Differential Equations, 2014We 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
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In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis [PDF]
Journal of Pain Research, 2015Oscar 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
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On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
Opuscula Mathematica, 2021We 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
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Min-max differential game with partial differential equation
AIMS Mathematics, 2022In 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
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Jurnal 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
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
Mathematics, 2023The 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
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Developmental Partial Differential Equations [PDF]
2015 54th IEEE Conference on Decision and Control (CDC), 2015In 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