Abstract: Initial boundary-value problem for the homogeneous wave equation with dynamic boundary condition is considered in three-dimensional Lipschitz domain. The Kirchhoff's formula is used to ...

Inverse problems in the context of elliptic equations and boundary value problems represent a critical area of mathematical analysis with wide-ranging applications in imaging, geophysics, and medical ...

This is a preview. Log in through your library . Abstract The multiple shooting method and stabilized march have long been advocated for solving boundary value problems, even though certain ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 4 (2012), pp. 2088-2110 (23 pages) We develop a quadratic C° interior penalty method for linear fourth order boundary value problems with essential and ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Accurately approximating higher order derivatives is an inherently difficult problem. It is shown that a random variable shape parameter strategy can improve the accuracy of approximating higher order ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...