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The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations

SIAM Journal on Scientific Computing, 2002
We present a new method for solving stochastic differential equations based on Galerkin projections and extensions of Wiener's polynomial chaos. Specifically, we represent the stochastic processes with an optimum trial basis from the Askey family of ...
Dongbin Xiu, G. Karniadakis
semanticscholar   +1 more source

Interior-point polynomial algorithms in convex programming

Siam studies in applied mathematics, 1994
Written for specialists working in optimization, mathematical programming, or control theory. The general theory of path-following and potential reduction interior point polynomial time methods, interior point methods, interior point methods for linear ...
Y. Nesterov, A. Nemirovski
semanticscholar   +1 more source

Polynomials and Trigonometric Polynomials

1976
Setting cos ϑ = x, the expressions $$ T_n \left( x \right) = \cos n\vartheta {\text{ }}U_n \left( x \right) = \frac{1} {{n + 1}}T'_{n + 1} \left( x \right) = \frac{{\sin \left( {n + 1} \right)\vartheta }} {{\sin \vartheta }}'{\text{ }}n = 0,1,2,...
Gabor Szegö, George Pólya
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On the Use of Polynomial Regression Equations As An Alternative to Difference Scores in Organizational Research

, 1993
For decades, difference scores have been widely used in studies of congruence in organizational research.
J. Edwards, M. Parry
semanticscholar   +1 more source

On Multiplication of Polynomials Modulo a Polynomial

SIAM Journal on Computing, 1980
The multiplicative complexity of the direct product of algebras $A_p $ of polynomials modulo a polynomial P is studied. In particular, we show that if P and Q are irreducible polynomials then the multiplicative complexity of $A_{\text{P}} \times A_{\text{Q}} $ is $2\deg ({\text{P}})\deg ({\text{Q}}) - {\text{k}}$, where k is the number of factors of P ...
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Polynomial evaluation and associated polynomials

Numerische Mathematik, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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