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Pushing Radiative Cooling Technology to Real Applications
Advanced Materials, EarlyView.Radiative cooling controls surface optical properties for solar and thermal radiation, offering solutions for global warming and energy savings. Despite significant advances, key challenges remain: optimizing optical efficiency, maintaining aesthetics, preventing overcooling, enhancing durability, and enabling scalable production.
Chongjia Lin +8 more
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Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
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Finite Difference Methods [PDF]
, 1996 As was mentioned in Chap. 1, all conservation equations have similar structure and may be regarded as special cases of a generic transport equation, Eq. (1.26), (1.27) or (1.28). For this reason, we shall treat only a single, generic conservation equation in this and the following chapters.
Milovan Perić, Joel H. Ferziger
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Finite-difference methods [PDF]
, 2001 In previous chapters, we have discussed the equations governing the structure of a steady flow and the evolution of an unsteady flow, and derived selected solutions for elementary flow configurations by analytical and simple numerical methods. To generate solutions for arbitrary flow conditions and boundary geometries, it is necessary to develop ...
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Finite Differences and Finite Elements
2011In the preceding chapters, we have described the numerical solution techniques most commonly applied in ocean-acoustic propagation modeling. One or more of these approaches are numerically efficient for the majority of forward problems occurring in underwater acoustics, including propagation over very long ranges, with or without lateral variations in ...
Michael B. Porter +3 more
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2001
The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
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The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
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Exact finite difference and non-standard finite difference schemes for
Journal of Difference Equations and Applications, 2012Exact finite difference schemes and non-standard finite difference schemes are constructed for the first-order differential equation , for and . In particular, we show that the central finite difference scheme is an exact scheme for the differential equation .
Ronald E. Mickens, Lih-Ing W. Roeger
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2018
This chapter offers a peek at the vast literature on numerical methods for partial differential equations. The focus is on finite difference methods (FDM): approximating differential operators by functions of difference operators. Padé approximants (Fornberg) give a unifying principle for deriving the various stencils used by numericists.
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This chapter offers a peek at the vast literature on numerical methods for partial differential equations. The focus is on finite difference methods (FDM): approximating differential operators by functions of difference operators. Padé approximants (Fornberg) give a unifying principle for deriving the various stencils used by numericists.
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1979
Publisher Summary Digital computer is not suited to perform computation by way of calculus. The automatic programming of the fundamental theorem of the integral calculus on the digital computer is a formidable, if not impossible, task of providing the computer with a symbolic list of functions and the corresponding antiderivatives, that is, a table of
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Publisher Summary Digital computer is not suited to perform computation by way of calculus. The automatic programming of the fundamental theorem of the integral calculus on the digital computer is a formidable, if not impossible, task of providing the computer with a symbolic list of functions and the corresponding antiderivatives, that is, a table of
openaire +2 more sources
Finite Element and Finite Difference Methods
2006Finite element methods (FEM) and finite difference methods (FDM) are numerical procedures for obtaining approximated solutions to boundary-value or initial-value problems. They can be applied to various areas of materials measurement and testing, especially for the characterization of mechanically or thermally loaded specimens or components ...
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