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The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations
SIAM Journal on Scientific Computing, 2002We 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
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Interior-point polynomial algorithms in convex programming
Siam studies in applied mathematics, 1994Written 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
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Polynomials and Trigonometric Polynomials
1976Setting 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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, 1993
For decades, difference scores have been widely used in studies of congruence in organizational research.
J. Edwards, M. Parry
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For decades, difference scores have been widely used in studies of congruence in organizational research.
J. Edwards, M. Parry
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On Multiplication of Polynomials Modulo a Polynomial
SIAM Journal on Computing, 1980The 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, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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