18 September 2008 11:38:50.976 PM TEST_CON_PRB FORTRAN77 version Sample problems for TEST_CON, a collection of nonlinear test functions for continuation. There are 29 test functions. P00_OPTION_NUM_TEST List the number of options for each problem. Problem Options 1 6 2 3 3 4 4 1 5 3 6 6 7 2 8 1 9 13 10 1 11 6 12 2 13 6 14 1 15 1 16 1 17 10 18 1 19 2 20 2 21 4 22 10 23 10 24 10 25 2 26 2 27 2 28 2 29 2 P00_TITLE_TEST List the problem title Problem Option Title 1 1 Freudenstein-Roth function, (15,-2,0). 1 2 Freudenstein-Roth function, (15,-2,0), x1 limits. 1 3 Freudenstein-Roth function, (15,-2,0), x3 limits. 1 4 Freudenstein-Roth function, (4,3,0). 1 5 Freudenstein-Roth function, (4,3,0), x1 limits. 1 6 Freudenstein-Roth function, (4,3,0), x3 limits. 2 1 Boggs function, (1,0,0). 2 2 Boggs function, (1,-1,0). 2 3 Boggs function, (10,10,0). 3 1 Powell function, (3,6,0). 3 2 Powell function, (4,5,0). 3 3 Powell function, (6,3,0). 3 4 Powell function, (1,1,0). 4 1 Broyden function. 5 1 Wacker function, A = 0.1. 5 2 Wacker function, A = 0.5. 5 3 Wacker function, A = 1.0. 6 1 Aircraft function, x(6) = - 0.0500. 6 2 Aircraft function, x(6) = - 0.0080. 6 3 Aircraft function, x(6) = 0.0000. 6 4 Aircraft function, x(6) = + 0.0500. 6 5 Aircraft function, x(6) = + 0.1000. 6 6 Aircraft function, x(6) = - 0.0125. 7 1 Cell kinetics problem, seeking limit points. 7 2 Cell kinetics problem, no search for limit points. 8 1 Riks mechanical function, seeking limit points. 9 1 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(1). 9 2 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(1). 9 3 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(1). 9 4 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(1). 9 5 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(2). 9 6 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(2). 9 7 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(2). 9 8 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(2). 9 9 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(3). 9 10 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(3). 9 11 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(3). 9 12 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(3). 9 13 Oden problem, VAL=0.00, no targets, no limits. 10 1 The trussed dome function. 11 1 Materially nonlinear problem, NPOLYS = 2, NDERIV = 1. 11 2 Materially nonlinear problem, NPOLYS = 4, NDERIV = 1. 11 3 Materially nonlinear problem, NPOLYS = 4, NDERIV = 2. 11 4 Materially nonlinear problem, NPOLYS = 6, NDERIV = 1. 11 5 Materially nonlinear problem, NPOLYS = 6, NDERIV = 2. 11 6 Materially nonlinear problem, NPOLYS = 6, NDERIV = 3. 12 1 Finite difference rod torsion, exponential PHI 12 2 Finite difference rod torsion, piecewise PHI. 13 1 Simpson's BVP, F(U) = EXP(U), M = 8. 13 2 Simpson's BVP, F(U) = function 2, M = 8. 13 3 Simpson's BVP, F(U) = EXP(U), M = 12. 13 4 Simpson's BVP, F(U) = function 2, M = 12. 13 5 Simpson's BVP, F(U) = EXP(U), M = 16. 13 6 Simpson's BVP, F(U) = function 2, M = 16. 14 1 Keller's boundary value function. 15 1 The semiconductor function. 16 1 The trigger circuit function. 17 1 Walker's arch, load 1, fix u = 0.1 17 2 Walker's arch, load 1, fix v = 0.01 17 3 Walker's arch, load 2, fix u = 0.0 17 4 Walker's arch, load 3, fix u = 1.0 17 5 Walker's arch, load 3, fix v = 0.1 17 6 Walker's arch, load 4, fix u = 0.0 17 7 Walker's arch, load 5, fix v, 0.0 17 8 Walker's arch, load 5, fix u. 17 9 Walker's arch, interactive. 17 10 Walker's arch, load 2, fix u = 0.0 18 1 The Moore-Spence chemical reaction function. 19 1 Bremermann Propane Combustion System, fixed pressure. 19 2 Bremermann Propane Combustion System, fixed concentration. 20 1 The Rabinowitz integration formula (0,2,3,1), 13 variables. 20 2 The Rabinowitz integration formula (1,4,4,3), 26 variables. 21 1 Porsching's tube flow function, 2 nodes. 21 2 Porsching's tube flow function, 4 nodes. 21 3 Porsching's tube flow function, 8 nodes. 21 4 Porsching's tube flow function, 16 nodes. 22 1 Arch limit run on lambda 22 2 Arch limit run on lambda 22 3 Arch limit run on lambda 22 4 Arch limit run on lambda 22 5 Arch limit run on lambda 22 6 Arch limit run on lambda 22 7 Arch limit run on lambda 22 8 Arch limit run on lambda 22 9 Arch limit run on lambda 22 10 Arch limit run on lambda 23 1 Arch limit run on mu after lambda 23 2 Arch limit run on mu after lambda 23 3 Arch limit run on mu after lambda 23 4 Arch limit run on mu after lambda 23 5 Arch limit run on mu after lambda 23 6 Arch limit run on mu after lambda 23 7 Arch limit run on mu after lambda 23 8 Arch limit run on mu after lambda 23 9 Arch limit run on mu after lambda 23 10 Arch limit run on mu after lambda 24 1 Arch limit run on nu after mu after lambda 24 2 Arch limit run on nu after mu after lambda 24 3 Arch limit run on nu after mu after lambda 24 4 Arch limit run on nu after mu after lambda 24 5 Arch limit run on nu after mu after lambda 24 6 Arch limit run on nu after mu after lambda 24 7 Arch limit run on nu after mu after lambda 24 8 Arch limit run on nu after mu after lambda 24 9 Arch limit run on nu after mu after lambda 24 10 Arch limit run on nu after mu after lambda 25 1 Three-element arch with point load. 25 2 Three-element arch with constant load. 26 1 Circle-line function, center (0.0, 0.0). 26 2 Circle-line function, center (0.0, 0.5). 27 1 2D finite difference Poisson function, delta = 0. 27 2 2D finite difference Poisson function, delta = 0.5. 28 1 Nitric acid absorption function, good start. 28 2 Nitric acid absorption function, bad start. 29 1 Finite element rod torsion function 29 2 Finite element rod torsion function. P00_NVAR_TEST List the problem size. Problem Option Size 1 1 3 1 2 3 1 3 3 1 4 3 1 5 3 1 6 3 2 1 3 2 2 3 2 3 3 3 1 3 3 2 3 3 3 3 3 4 3 4 1 3 5 1 4 5 2 4 5 3 4 6 1 8 6 2 8 6 3 8 6 4 8 6 5 8 6 6 8 7 1 6 7 2 6 8 1 6 9 1 4 9 2 4 9 3 4 9 4 4 9 5 4 9 6 4 9 7 4 9 8 4 9 9 4 9 10 4 9 11 4 9 12 4 9 13 4 10 1 22 11 1 26 11 2 42 11 3 49 11 4 58 11 5 65 11 6 72 12 1 37 12 2 37 13 1 50 13 2 50 13 3 122 13 4 122 13 5 226 13 6 226 14 1 12 15 1 10 16 1 7 17 1 47 17 2 47 17 3 47 17 4 47 17 5 47 17 6 47 17 7 47 17 8 47 17 9 47 17 10 47 18 1 33 19 1 12 19 2 12 20 1 13 20 2 26 21 1 9 21 2 17 21 3 33 21 4 65 22 1 16 22 2 16 22 3 16 22 4 16 22 5 16 22 6 16 22 7 16 22 8 16 22 9 16 22 10 16 23 1 29 23 2 29 23 3 29 23 4 29 23 5 29 23 6 29 23 7 29 23 8 29 23 9 29 23 10 29 24 1 56 24 2 56 24 3 56 24 4 56 24 5 56 24 6 56 24 7 56 24 8 56 24 9 56 24 10 56 25 1 5 25 2 5 26 1 2 26 2 2 27 1 26 27 2 26 28 1 13 28 2 13 29 1 26 29 2 26 TEST_CON_PRB Normal end of execution. 18 September 2008 11:38:50.980 PM