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1 - 10 of 19
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Global optimization: theory, algorithms, and applications
Locatelli M., Schoen F., SIAM, Philadelphia, PA, 2013. 445 pp. Type: Book (978-1-611972-66-5)
The field of global optimization (GO) considers the optimization of an objective function f in a subset S of the real numbers called a feasible region. Since the conversion of maximization problems...
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Apr 21 2014 |
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 Design and analysis of approximation algorithms
Du D., Ko K., Hu X., Springer Publishing Company, Incorporated, New York, NY, 2012. 451 pp. Type: Book (978-1-461417-00-2)
Many well-known optimization problems are intractable, in the sense that optimal solutions are not computable within polynomial time. For these problems, an approximation algorithm is an efficient alternative that produces near-optimal...
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Jun 28 2012 |
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Newton methods for nonlinear problems: affine invariance and adaptive algorithms
Deuflhard P., Springer Publishing Company, Incorporated, New York, NY, 2011. 436 pp. Type: Book (978-3-642238-98-7)
The numerical treatment of nonlinear problems in science and engineering often involves the solution of finite dimensional algebraic systems, or infinite systems in the case of ordinary or partial differential equations. Depending on t...
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Jun 21 2012 |
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Advances in differential evolution
Chakraborty U., Springer Publishing Company, Incorporated, New York, NY, 2008. 340 pp. Type: Book (9783540688273)
Differential evolution is an evolutionary algorithm for global numerical optimization introduced by Ken Price and Rainer Storn in a series of articles in 1995. The method consists of some main steps, which include the definition of a n...
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Mar 11 2010 |
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Robust and reliable defect control for Runge-Kutta methods
Enright W., Hayes W. ACM Transactions on Mathematical Software 33(1): 1-es, 2007. Type: Article
The integration of initial value problems (IVPs) for ordinary differential equations (ODEs) is an important and active area in numerical analysis. A large variety of numerical solution methods have been developed to address this issue,...
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Jul 26 2007 |
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The eigenvalue problem for the 2D Laplacian in H-matrix arithmetic and application to the heat and wave equation
Lintner M. Computing 72(3-4): 293-323, 2004. Type: Article
Hierarchical matrices (H-matrices) form a subset of the set of all matrices. They have been introduced by Hackbusch to enable matrix operations of almost linear complexity. “The underlying idea is to de...
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Jan 31 2006 |
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Nonlinear workbook: chaos, fractals, cellular automata, neural networks, genetic algorithms, gene expression programming, wavelets, fuzzy logic - with C++, Java and SymbolicC++ Programs
Steeb W., World Scientific Publishing Co, Inc., River Edge, NJ, 2003. Type: Book (9789812382122)
Most phenomena in science or technology are nonlinear and complex in nature, and require appropriate models to describe and analyze them. In contrast to linear problems, the description of nonlinearity is much more difficult, and is co...
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Apr 7 2005 |
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Numerical polynomial algebra
Stetter H., Society for Industrial & Applied Mathematics, 2004. Type: Book (9780898715576)
This book offers an interesting approach, combining numerical analysis and polynomial algebra. The emphasis is on multivariate polynomial systems arising in problems from scientific computing, and their solution with methods adopted fr...
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Oct 18 2004 |
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Cluster computing with message-passing interface
Evans D., Saman M. In Highly parallel computaions. WIT Press, 2001. Type: Book Chapter
This first chapter of the book Highly parallel computations is devoted to parallel programming for distributed memory machines, or cluster systems, using the message-passing interface (MPI) standard....
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Oct 22 2003 |
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Parallel performance of overlapping mesh technique for compressible flows
Rokicki J., Żółtak J., Drikakis D., Majewski J. Future Generation Computer Systems 18(1): 3-15, 2001. Type: Article
The numerical solution of flow problems in complex geometries requires an appropriate grid generation technique, for example overlapping mesh generation, or alternatively unstructured grids. This paper considers the parallel implement...
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Jan 21 2003 |
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