swMATH ID: 1063
Software Authors: Bank, Randolph E.; Chan, Tony F.
Description: PLTMGC is a program package for solving nonlinear elliptic systems that have explicit dependence on a scalar parameter. In addition to being able to compute solutions for fixed parameter values, it can be used to solve the linear eigenvalue problem, trace solution branches, locate singular points (simple turning points and bifurcation points) and switch branch at simple bifurcation points. A multi-grid continuation approach is employed in which a continuation procedure is used to follow the solution curve on the coarset grid and a multi-grid algorithm is used to refine the solution at selected points using an adaptive mesh refinement strategy. Some numerical examples illustrating the performance of the package are given.
Homepage: http://epubs.siam.org/sisc/resource/1/sjoce3/v7/i2/p540_s1?isAuthorized=no
Keywords: continuation methods; PLTMGC; program package; linear eigenvalue problem; trace solution branches; singular points; turning points; bifurcation points; multi-grid algorithm; adaptive mesh refinement; numerical examples
Related Software: LOCA; PLTMG; GPFEM; BVPh; ABC4EFT; Z; Cross; CLT; symrcm; OEIS; Petruchio; AIM@SHAPE; PcGets; CGS; PITCON; TRANSPORT; CHEMKIN; ALCON
Cited in: 19 Publications

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