Add some hard test cases from Smiley and Chun (2001)

[gwater]

Addresses plans in #44 to implement some more difficult test cases by implementing 4 examples from M. W. Smiley and C. Chun, J. Comput. Appl. Math. 137, 293 (2001).

Currently all examples pass (using the Newton method). However, Example 5.5 takes ca 40 minutes on my machine. Therefore it might not be practicable to include the test cases in the default set of tests.

Example 5.5 might be useful for benchmarks and checking for performance regressions.

[codecov-io]

Codecov Report

Merging #70 into master will not change coverage. The diff coverage is n/a.

@@           Coverage Diff           @@
##           master      #70   +/-   ##
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  Coverage   56.14%   56.14%           
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  Files          10       10           
  Lines         431      431           
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  Hits          242      242           
  Misses        189      189

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[dpsanders]

Looks good at a first glance, thanks!

[lbenet]

While all tests are passing, there seems to be a conflict with current master in test/runtests.jl; can you rebase to current master?

[gwater]

@lbenet ok, rebased to current master.

[lbenet]

Thanks a lot; tests are passing. I am in favor of merging this.

@dpsanders Do you agree?

[lbenet]

Apparently Example 5.5 fails on Travis CI, too. To be honest though, hunting this bug seems outside the scope of this pull request to me. (Clearly, the tests are uncovering an issue here but that does not mean they are broken or wrong.)

I agree with you; would you mind open an issue on that?

Regarding this PR, and precisely to go on having these more stringent tests, I propose to comment that test and merge this PR. Then, we can try to track down the problem.

Maybe @dpsanders has another idea?

[dpsanders]

That sounds good to me; comment out the failing test and add an issue about it; enable the tests and merge!

[lbenet]

Thanks a lot con this contribution! Merging.