It turns out that algorithms currently used in image processing are very well suited for the design of nonlinear higher order dissipative terms. In particular, we stabilize the well-known Lax-Wendro formula by
Numerical Algorithmsjournal offers high quality papers on all aspects of numerical algorithms used in numerical analysis. The journal's scope includes new algorithms with discussion on their theoretical results, implementation, and properties. It also includes improvements and new results on known algorithm...
The literature describes two algorithms that generalize the FFT on the unit circle: the Chirp Transform Algorithm (CTA)15 and the Fractional Fourier Transform (FRFT)16,17. Both algorithms are special cases of the CZT for chirp contours that lie on the unit circle, but the FRFT contours always...
Siam Journal on Numerical Analysis (SIAM JNA) is a leading international journal that focuses on the development and analysis of numerical algorithms and their implementation in mathematical models of physical,biological, and engineering systems. It is published by the Society for Industrial and Applied...
KNITRO: KNITRO has three algorithms for solvingnonlinear optimizationproblems: interior-point direct, interior-point conjugate gradient, and active set algorithms (Byrd et al., 2006). 3. CONOPT: CONOPT implements a large-scale GRG algorithm (Drud, 1992). ...
Full size image A comparison of Fig. 5(a,b) shows that the velocity pattern obtained by the two algorithms are almost the same, except for the values in the rapid acceleration process. The proposed algorithm determines the uneven velocity distribution in impact loading, which indicates the possi...
For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.Bartels, Sören 展开 ...
Kashefi and Mukerji (2023) explored the capability of ChatGPT for generating and improving codes for numerical algorithms in different programming languages for various mathematical problems such as Poisson equation, diffusion equation, incompressible Navier-Stokes equation, and compressible inviscid flow. ...
designed the datasets for step error calculation in "BP neural network design and optimization for step error prediction". J.-P.Z., W.L. and L.-Y.F. designed the optimization algorithms of BP neural network in "Algorithm implementation and validation". J.-P.Z., W.L. and Z.-Y.Z. ...
Cui, M. Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation. Num. Algorithms 62, 383–409 (2013). Article MATH Google Scholar Li, M. Z., Chen, L. J., Xu, Q. & Ding, X. H. An efficient numerical...