• # CSparse

• Referenced in 237 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...
• # fminsearch

• Referenced in 271 articles [sw07467]
• Convergence properties of the Nelder--Mead simplex method in low dimensions The Nelder--Mead simplex ... enormously popular direct search method for multidimensional unconstrained minimization. Despite its widespread use, essentially...
• # SLIC

• Referenced in 161 articles [sw18282]
• Interface Calculation). SLIC is an alternating-direction 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 one-dimensional nature ... possible to incorporate any one space dimensional method for advancing contact discontinuities. This makes SLIC...
• # Proteus

• Referenced in 106 articles [sw41563]
• Proteus: A direct forcing method in the simulations of particulate flows. A new and efficient ... direct numerical method for the simulation of particulate flows is introduced. The method combines desired ... elements of the immersed boundary method, the direct forcing method and the lattice Boltzmann method ... used in the conventional LBM, the direct-forcing method provides a smoother computational boundary...
• # SDPT3

• Referenced in 697 articles [sw04009]
• path-following 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 140 articles [sw05140]
• exploited to define a modified Newton method which can be applied to problems that ... possible to compute a negative-curvature direction at a stationary point. The above mentioned modified ... preconditioned truncated Newton method is described that defines a search direction which interpolates between ... nonlinear conjugate-gradient-type method and a modified Newton direction. Numerical results are given which...
• # KELLEY

• Referenced in 631 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 Nelder-Mead, multidirectional search ... conclude with a numerical demonstration of the methods discussed in the respective chapter, and with...
• # SDPNAL+

• Referenced in 53 articles [sw13239]
• with a convergent 3-block alternating direction method of multipliers introduced recently ... methods based codes: (1) an alternating direction method of multipliers based solver called SDPAD...
• # SCS

• Referenced in 47 articles [sw16632]
• operator splitting method, the alternating directions method of multipliers, to solve the homogeneous self-dual ... method in detail, including direct and indirect methods for computing projection onto the subspace, scaling...
• # PROST

• Referenced in 167 articles [sw12822]
• Volume-of-fluid (VOF) methods are popular for the direct numerical simulation of time-dependent ... multiple liquids. As in any numerical method, however, it has its weaknesses, namely, for flows...
• # CONMIN

• Referenced in 51 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...