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Titlebook: Numerical Treatment and Analysis of Time-Fractional Evolution Equations; Bangti Jin,Zhi Zhou Book 2023 The Editor(s) (if applicable) and T

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楼主: 军械
发表于 2025-3-25 04:52:51 | 显示全部楼层
Finite Difference Methods on Uniform Meshes,hes using discrete Laplace transform, and derive sharp error bounds for nonsmooth and incompatible problem data. We also describe a correction scheme for the L1 scheme, similar to the corrected ., to restore the optimal convergence rate. The overall strategy for convergence analysis is similar to th
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Nonnegativity Preservation,ata and the source .. It is natural to ask whether this property is inherited by certain spatially semidiscrete and fully discrete piecewise linear .s, including the standard Galerkin method, lumped mass method, and finite volume element method. In this chapter, we discuss the nonnegativity preserva
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Subdiffusion with Time-Dependent Coefficients,n smoothing properties of the solution operators, often derived from Laplace transform of the governing equation and its discrete analogues. However, this idea does not directly apply to the case of a time-dependent elliptic operator, which we investigate in this chapter.
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Spectral Galerkin Approximation,in Chaps. .–., spectral methods with specially constructed basis functions can compensate the weakly singular behavior of solutions near ., and can approximate solutions of the time-fractional diffusion model accurately.
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Optimal Control with Subdiffusion Constraint,analysis. In the last two chapters, we discuss the application of these results where nonsmooth data error estimates are central, i.e., a model optimal control problem with a subdiffusion constraint in this chapter, and a model inverse problem, backward subdiffusion, in Chap. ..
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Bangti Jin,Zhi Zhounal cultures and core business practices (Birch & Batten, 2001;Milne, Owen & Tilt, 2001). Accordingly, they may downplay social issues, unless the values at stake just happen to coincide with their own personally held beliefs (Swanson, 1999). And even this ‘value coincidence’ may be uncommon (see Birch & Batten, 2001).
发表于 2025-3-26 19:27:26 | 显示全部楼层
Bangti Jin,Zhi Zhounal cultures and core business practices (Birch & Batten, 2001;Milne, Owen & Tilt, 2001). Accordingly, they may downplay social issues, unless the values at stake just happen to coincide with their own personally held beliefs (Swanson, 1999). And even this ‘value coincidence’ may be uncommon (see Birch & Batten, 2001).
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