Results 271 to 280 of about 45,141 (310)

The Growth of Difference Equations and Differential Equations

Acta Mathematica Scientia, 2021
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Chen, Zongxuan, Zhang, Ranran, Lan, Shuangting, Chen, Chuangxin   +3 more
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A differential-equations algorithm for nonlinear equations

ACM Transactions on Mathematical Software, 1984
Summary: DAFNE is a set of FORTRAN subprograms for solving nonlinear equations that implements a method founded on the numerical solution of a Cauchy problem for a system of ordinary differential equations inspired by classical mechanics. This paper gives a detailed description of the method as implemented in DAFNE and reports on the numerical tests ...
Filippo Aluffi-Pentini, Valerio Parisi, Francesco Zirilli   +2 more
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On Approximation of Equations by Algebraic Equations

Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, 1964
Some years ago D. I. Muller [1] developed a method for the solution of algebraic equations, approximating them by quadratic equations. The method proved extremely efficient in many tests. However, the theoretical discussion given by Muller can hardly be considered as adequate, in my opinion, as his convergence proof culminates in a vicious circle (cf ...
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Solving equations in an equational language

1988
The problem of solving equations is a key and challenging problem in many formalisms of integrating logic and functional programming, while narrowing is now a widely used mechanism for generating solutions. In this paper, we continue to investigate the problem of solving equations in O'Donnell's equational language.
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THE BOLTZMANN EQUATION IS A RENORMALIZATION GROUP EQUATION

International Journal of Modern Physics B, 2000
It is known that renormalization group (RG) approaches to partial differential equations give reduced equations, e.g., amplitude equations, as renormalization group equations. Therefore, equations governing slow or global behaviors ought to be derived RG-theoretically.
Pashko, O., Oono, Yoshitsugu
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On the Reduction of Differential Equations to Algebraic Equations

SIAM Journal on Mathematical Analysis, 1970
Abstract : Techniques based upon elementary group theory for the reduction of a given system of partial differential equations to a system of differential equations in fewer independent variables are extended in this report. Specifically, the extension is aimed at reducing a given system to a system of algebraic equations. (Author)
Moran, M. J., Gaggioli, R. A.
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Fractional differential equations and the Schrödinger equation

Applied Mathematics and Computation, 2005
The authors study fractional differential equations associated to the \(\alpha\)-derivative, where such equations appear in many problems. In particular, they obtain a fractional differential equation related to the classical Schrödinger equation by studying Nottale's approach to quantum mechanics via a fractal space-time.
Fayçal Ben Adda, Jacky Cresson
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Equational Logic

IEEE Transactions on Computers, 1974
A combinational circuit realizing the switching function f(x) may be regarded as a solution verifier for the Boolean equation f(x) = 1. (*) The output of the circuit is 1, that is, if and only if the input-vector x is a solution for (*). We use the term "equational logic" to denote an approach to circuit synthesis based on (*) rather than on the ...
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Concept Equations

Journal of Logic and Computation, 2004
Summary: The author studies systems of equations which naturally arise in the formalization of the Port-Royal theory of concepts. An unknown quantity is a relation between objects and attributes. We study the case where the relation is fuzzy with truth values in a complete residuated lattice, covering therefore the special cases of complete Boolean ...
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Generalized master equations and the telegrapher's equation

Physica A: Statistical Mechanics and its Applications, 1990
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HONGLER, MO, Streit, Ludwig
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