Results 281 to 290 of about 111,104 (316)

PDEL—a language for partial differential equations

Communications of the ACM, 1970
Conventional computer methods available to solve continuous system problems characterized by partial differential equations are very time-consuming and cumbersome. A convenient, easy to learn and to use, high level problem oriented language to solve and study partial differential equation problems has been designed; a practical translator ...
Alfonso F. Cardenas, Walter J. Karplus
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Stochastic partial differential equations

2014
Second order stochastic partial differential equations are discussed from a rough path point of view. In the linear and finite-dimensional noise case we follow a Feynman–Kac approach which makes good use of concentration of measure results, as those obtained in Sect. 11.2.
Peter K. Friz, Martin Hairer
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Complex Partial Differential Equations

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aksoy, Ü., Begehr, H., Çelebi, A., Shupeyeva, B.   +3 more
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On Elliptic Partial Differential Equations

2011
Es wird eine umfassende Übersicht über verschiedene neuere Resultate aus der Theorie der linearen elliptischen Differentialgleichungen höherer Ordnung gegeben. Zunächst wird in \( \S 1 \) die Grundlösung für eine partielle Differentialgleichung mit konstanten Koeffizienten durch Anwendung der Fourier-Transformation konstruiert. Anschließend werden eine
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Parabolic partial differential equations

1995
We now describe how to apply the finite element to parabolic partial differential equations. This is done by approximating the parabolic partial differential equation by either a sequence of ordinary differential equations or a sequence of elliptic partial differential equations.
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On arithmetic partial differential equations

J. Integer Seq., 2016
Summary: \textit{J. Kovič} [J. Integer Seq. 15, No. 3, Article 12.3.8, 16 p. (2012; Zbl 1291.11009)], and implicitly \textit{V. Ufnarovski} and \textit{B. Åhlander} [J. Integer Seq. 6, No. 3, Art. 03.3.4, 24 p. (2003; Zbl 1142.11305)], defined a notion of arithmetic partial derivative. We generalize the definition for rational numbers and study several
Pentti Haukkanen, Jorma K. Merikoski, Timo Tossavainen   +2 more
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Partial Differential Equations II

2002
Partial differential equations of the form $$k{\partial \over {\partial t}}u(r,t) = \nabla ^2 u(r,t)$$ (diffusion equation) and $${{\partial ^2 } \over {\partial t^2 }}u(r,t) = c^2 \nabla ^2 u(r,t)$$ (wave equation) are amenable to the use of the Laplace transform.1 Indeed, on taking the Laplace transform of the former, we get ...
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Repeated Games and Partial Differential Equations

Mathematics of Operations Research, 1996
Let vn(p) denote the value of the n-times repeated zero-sum game with incomplete information on one side and full monitoring and let u(p) be the value of the average game G(p). The error term ϵn(p) = vn(p) − cav(u)(p) is then converging to zero at least as rapidly as 1/√n. In this paper, we analyze the convergence of ψn(p) = √nϵn(p) in the games with
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Applications to Partial Differential Equations—Nonlinear Equations

1983
In this section we consider a simple application of the results of Section 6.1 to the initial value problem for the following nonlinear Schrodinger equation in ∝2 $$\left\{ {_{u(x,0) = {u_0}(x)in{\mathbb{R}^2}}^{\frac{1}{i}\frac{{\partial u}}{{\partial t}} - \Delta u + k{{\left| u \right|}^2}u = 0in]0,\infty [x{\mathbb{R}^2}}} \right.$$ (1.1 ...
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Partial Differential Equations

1994
Martha L. Abell, James P. Braselton
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