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JSCIC
2010
178views more  JSCIC 2010»
13 years 2 months ago
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
S. Britt, S. Tsynkov, Eli Turkel
AAECC
1998
Springer
167views Algorithms» more  AAECC 1998»
13 years 7 months ago
Generalized Bezout Identity
We describe a new approach of the generalized Bezout identity for linear time-varying ordinary differential control systems. We also explain when and how it can be extended to line...
J. F. Pommaret, Alban Quadrat
STOC
2007
ACM
128views Algorithms» more  STOC 2007»
14 years 8 months ago
Iteratively constructing preconditioners via the conjugate gradient method
We consider the problem of solving a symmetric, positive definite system of linear equations. The most well-known and widely-used method for solving such systems is the preconditi...
John Dunagan, Nicholas J. A. Harvey
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 8 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
PARA
2004
Springer
14 years 29 days ago
Automatic Derivation of Linear Algebra Algorithms with Application to Control Theory
It is our belief that the ultimate automatic system for deriving linear algebra libraries should be able to generate a set of algorithms starting from the mathematical specificati...
Paolo Bientinesi, Sergey Kolos, Robert A. van de G...