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A consequence, called Schaefer's fixed-point theorem, is particularly useful for proving existence of solutions to nonlinear partial differential equations. Schaefer's theorem is in fact a special case of the far reaching Leray–Schauder theorem which was proved earlier by Juliusz Schauder and Jean Leray. The statement is as follows:
The Schaefer Group was the successor of the company Fritz Schaefer GmbH, which was established in 1937. Today, the entrepreneur's sons are in control of these companies, including 16 production facilities on 3 continents and numerous subsidiaries with more than 8,000 employees.
The "solution" may be a specific design or configuration but it is more than likely to be a set of design parameter values the combination of which would provide the most optimal and desirable means of fulfilling the stated requirements. Thus, any specific design that complies with the optimal "solution" parameter values is deemed acceptable.
Alternatives assessment or alternatives analysis is a problem-solving approach used in environmental design, technology, and policy.It aims to minimize environmental harm by comparing multiple potential solutions in the context of a specific problem, design goal, or policy objective.
The Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is a multi-criteria decision analysis method, which was originally developed by Ching-Lai Hwang and Yoon in 1981 [1] with further developments by Yoon in 1987, [2] and Hwang, Lai and Liu in 1993. [3]
In numerical linear algebra, the alternating-direction implicit (ADI) method is an iterative method used to solve Sylvester matrix equations.It is a popular method for solving the large matrix equations that arise in systems theory and control, [1] and can be formulated to construct solutions in a memory-efficient, factored form.
The Gordon-Schaefer model is a bioeconomic model applied in the fishing industry. It may be used to compute the maximum sustainable yield . It takes account of biological growth rates, carrying capacity , and total and marginal costs and revenues.
Møller–Plesset perturbation theory (MP) is one of several quantum chemistry post-Hartree–Fock ab initio methods in the field of computational chemistry.It improves on the Hartree–Fock method by adding electron correlation effects by means of Rayleigh–Schrödinger perturbation theory (RS-PT), usually to second (MP2), third (MP3) or fourth (MP4) order.