
ODEPACK
 Referenced in 131 articles
[sw08341]
 iterative (preconditioned Krylov) methods instead of direct methods for these linear systems. The most recent...

CSparse
 Referenced in 85 articles
[sw20382]
 Direct methods for sparse linear systems. Computational scientists often encounter problems requiring the solution ... MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with...

LSODE
 Referenced in 110 articles
[sw04374]
 systems that arise are solved by direct methods (LU factor/solve). LSODE supersedes the older GEAR...

fminsearch
 Referenced in 148 articles
[sw07467]
 Convergence properties of the NelderMead simplex method in low dimensions The NelderMead simplex ... enormously popular direct search method for multidimensional unconstrained minimization. Despite its widespread use, essentially...

SLIC
 Referenced in 92 articles
[sw18282]
 Interface Calculation). SLIC is an alternatingdirection method for the geometric approximation of fluid interfaces ... space dimensional components, one for each coordinate direction. (2) These onedimensional components are composed entirely ... right in the coordinate direction under consideration. (4) Because of the completely onedimensional nature ... possible to incorporate any one space dimensional method for advancing contact discontinuities. This makes SLIC...

SDPT3
 Referenced in 398 articles
[sw04009]
 pathfollowing method, with either the HKM or the NT search direction. The basic code ... semideﬁnite cones are calculated via the Lanczos method. Numerical experiments show that this general purpose...

tn
 Referenced in 99 articles
[sw05140]
 exploited to define a modified Newton method which can be applied to problems that ... possible to compute a negativecurvature direction at a stationary point. The above mentioned modified ... preconditioned truncated Newton method is described that defines a search direction which interpolates between ... nonlinear conjugategradienttype method and a modified Newton direction. Numerical results are given which...

KELLEY
 Referenced in 497 articles
[sw04829]
 author and his group. Implicit filtering methods use finite difference approximations of the gradient, which ... noise level in the function. Direct search algorithms, including the NelderMead, multidirectional search ... conclude with a numerical demonstration of the methods discussed in the respective chapter, and with...

CONMIN
 Referenced in 50 articles
[sw04741]
 basic optimization algorithm is the Method of Feasible Directions. The user must provide a main ... also be solved, and the conjugate direction method of Fletcher and Reeves is used...

YSMP
 Referenced in 50 articles
[sw17947]
 sparse. The current release features direct methods based on Gaussian elimination without pivoting...

BILUM
 Referenced in 47 articles
[sw04015]
 those of gridindependent convergence of multigrid methods. The multilevel algorithms implemented by BILUM ... enough to be solved by a direct method or a preconditioned iterative method...

PROST
 Referenced in 99 articles
[sw12822]
 Volumeoffluid (VOF) methods are popular for the direct numerical simulation of timedependent ... multiple liquids. As in any numerical method, however, it has its weaknesses, namely, for flows...

PDE2D
 Referenced in 36 articles
[sw04270]
 practical steps involved in implementing the methods, culminating in readers learning how to write programs ... book begins with a review of direct methods for the solution of linear systems, with...

Isar
 Referenced in 85 articles
[sw04599]
 range of automated proof methods. Interactive proof development is supported directly as well. The Isabelle...

BoomerAMG
 Referenced in 75 articles
[sw00086]
 efficacy of the method. Finally, we indicate the current directions of the research...

COBYLA2
 Referenced in 28 articles
[sw05136]
 variables (some hundred at most). An SLP method with estimation of gradients by linear interpolation ... only. M. Powell’s paper on Direct Search Methods...

TRON
 Referenced in 87 articles
[sw04714]
 conjugate gradient method with an incomplete Cholesky factorization to generate a direction, and a projected...

DSPCA
 Referenced in 34 articles
[sw04804]
 arising in the direct sparse PCA method...

ILUT
 Referenced in 90 articles
[sw08734]
 class of methods consists of techniques derived from modifications of a given direct solver...

MONACO
 Referenced in 21 articles
[sw20793]
 parallel optimized implementation of the direct simulation Monte Carlo method. This paper describes ... implementation of the direct simulation Monte Carlo (DSMC) method. It uses a localized data structure...