collaborators

5 papers

math.NA2022

Fourier series (based) multiscale method for computational analysis in science and engineering: VI. Fourier series multiscale solution for wave propagation in a beam with rectangular cross section

Weiming Sun, Zimao Zhang

Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. In the sixth paper, exact…

math.NA2022

Fourier series (based) multiscale method for computational analysis in science and engineering: V. Fourier series multiscale solution for elastic bending of Reissner plates on Pasternak foundations

Weiming Sun, Zimao Zhang

Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. In the fifth paper, the us…

math.NA2022

Fourier series (based) multiscale method for computational analysis in science and engineering: IV. Fourier series multiscale solution for the convection-diffusion-reaction equation

Weiming Sun, Zimao Zhang

Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. In the fourth paper, the a…

math.NA2022

Fourier series (based) multiscale method for computational analysis in science and engineering: III. Fourier series multiscale method for linear differential equation with constant coefficients

Weiming Sun, Zimao Zhang

Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. In the third paper, the an…

math.NA2022

Fourier series (based) multiscale method for computational analysis in science and engineering: II. Composite Fourier series method for simultaneous approximation to functions and their (partial) derivatives

Weiming Sun, Zimao Zhang

Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. The second paper is concer…