A partial differential equation (PDE) is a mathematical equation that involves multiple independent variables, an unknown function that is dependent on those variables, and partial derivatives of the ...
In this paper, we study existence and stability of solutions to a partial differential equation with 𝜓-fractional derivative. Existence results are established by means of the fixed point and upper ...
Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...
SIAM Journal on Numerical Analysis, Vol. 46, No. 5 (2008), pp. 2411-2442 (32 pages) This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving partial ...
In this paper, we discuss efficient pricing methods via a partial differential equation (PDE) approach for long-dated foreign exchange (FX) interest rate hybrids under a three-factor multicurrency ...
The field of optimal control in partial differential equations (PDEs) focuses on determining the best possible control strategies to influence systems described by PDEs and to achieve specific ...
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