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A new method for numerically solving integral equations is presented.

MCS is a method for numerically operating a complex system having random components.

In this paper, we consider the Fourier spectral method for numerically solving the modified Swift-Hohenberg equation.

We present a fast method for numerically solving the inhomogeneous Helmholtz equation.

We develop a finite-element based level set method for numerically solve shape optimization problems constrained by semilinear elliptic problems.

Also, this article reports a systematic quadrature tau method for numerically solving multi-point boundary value problems of fractional-order with variable coefficients.

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Methods for numerically solving generalized complex symmetric (non-Hermitian) eigenvalue problems (EVPs) Ax= λBx serially and in parallel are investigated.

In this work, we present efficient high order finite difference methods for numerically solving the kinetic eikonal equation.

However, standard moment methods for numerically simulating turbulent flows do not allow us to evaluate the true turbulence characteristics in a flame.

We present a class of embedded discontinuous Galerkin (EDG) methods for numerically solving the Euler equations and the Navier Stokes equations.

In this study, we investigate the application of higher-order and flux-limiting methods for numerically modeling one-dimensional coupled heat and mass transfer accompanied with a gas solid reaction.

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