| Name | phs-poly JSON |
| Version |
0.2.1
JSON |
| download |
| home_page | None |
| Summary | PHS+poly approximation procedures |
| upload_time | 2025-09-09 22:27:47 |
| maintainer | None |
| docs_url | None |
| author | None |
| requires_python | >=3.9 |
| license | MIT |
| keywords |
approximation
rbf-fd
meshfree
|
| VCS |
|
| bugtrack_url |
|
| requirements |
No requirements were recorded.
|
| Travis-CI |
No Travis.
|
| coveralls test coverage |
No coveralls.
|
# phs_poly
Finite difference coefficients using the RBF-FD method.
Only PHS + poly of limited order are supported.
## Fortran examples
Example of gradient and Hessian calculation using RBF-FD.
To compile use,
```
gfortran -Wall -Og -o test_phs_poly phs_poly_approx.f90 test_phs_poly.f90 -llapack
```
Here's what the output should look like:
```txt
$ ./test_phs_poly
Testing 1
Grad (approx) -0.000000 -0.000000
Grad (exact) 0.000000 0.000000
Hess (approx) -0.000000 -0.000000 0.000000
Hess (exact) 0.000000 0.000000 0.000000
Testing x
Grad (approx) 1.000000 -0.000000
Grad (exact) 1.000000 0.000000
Hess (approx) -0.000000 0.000000 0.000000
Hess (exact) 0.000000 0.000000 0.000000
Testing y
Grad (approx) -0.000000 1.000000
Grad (exact) 0.000000 1.000000
Hess (approx) 0.000000 -0.000000 0.000000
Hess (exact) 0.000000 0.000000 0.000000
Testing x^2
Grad (approx) 0.862000 0.000000
Grad (exact) 0.862000 0.000000
Hess (approx) 2.000000 -0.000000 0.000000
Hess (exact) 2.000000 0.000000 0.000000
Testing y^2
Grad (approx) -0.000000 1.074000
Grad (exact) 0.000000 1.074000
Hess (approx) 0.000000 -0.000000 2.000000
Hess (exact) 0.000000 0.000000 2.000000
Testing x*y
Grad (approx) 0.537000 0.431000
Grad (exact) 0.537000 0.431000
Hess (approx) 0.000000 1.000000 0.000000
Hess (exact) 0.000000 1.000000 0.000000
Testing general quad
Grad (approx) 6.734000 6.094000
Grad (exact) 6.734000 6.094000
Hess (approx) 6.000000 4.000000 10.000000
Hess (exact) 6.000000 4.000000 10.000000
Testing smooth function f(x,y) = sin(pi x)*cos(pi y)
Grad (approx) -0.076949 -3.072093
Grad (exact) -0.078364 -3.047367
Hess (approx) 1.121192 -2.065178 1.184418
Hess (exact) 1.117863 -2.108393 1.117863
```
Raw data
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"description": "# phs_poly\n\nFinite difference coefficients using the RBF-FD method.\n\nOnly PHS + poly of limited order are supported.\n\n## Fortran examples\n\nExample of gradient and Hessian calculation using RBF-FD.\n\nTo compile use,\n\n```\ngfortran -Wall -Og -o test_phs_poly phs_poly_approx.f90 test_phs_poly.f90 -llapack\n```\n\nHere's what the output should look like:\n\n```txt\n$ ./test_phs_poly\n\nTesting 1\nGrad (approx) -0.000000 -0.000000\nGrad (exact) 0.000000 0.000000\nHess (approx) -0.000000 -0.000000 0.000000\nHess (exact) 0.000000 0.000000 0.000000\n\nTesting x\nGrad (approx) 1.000000 -0.000000\nGrad (exact) 1.000000 0.000000\nHess (approx) -0.000000 0.000000 0.000000\nHess (exact) 0.000000 0.000000 0.000000\n\nTesting y\nGrad (approx) -0.000000 1.000000\nGrad (exact) 0.000000 1.000000\nHess (approx) 0.000000 -0.000000 0.000000\nHess (exact) 0.000000 0.000000 0.000000\n\nTesting x^2\nGrad (approx) 0.862000 0.000000\nGrad (exact) 0.862000 0.000000\nHess (approx) 2.000000 -0.000000 0.000000\nHess (exact) 2.000000 0.000000 0.000000\n\nTesting y^2\nGrad (approx) -0.000000 1.074000\nGrad (exact) 0.000000 1.074000\nHess (approx) 0.000000 -0.000000 2.000000\nHess (exact) 0.000000 0.000000 2.000000\n\nTesting x*y\nGrad (approx) 0.537000 0.431000\nGrad (exact) 0.537000 0.431000\nHess (approx) 0.000000 1.000000 0.000000\nHess (exact) 0.000000 1.000000 0.000000\n\nTesting general quad\nGrad (approx) 6.734000 6.094000\nGrad (exact) 6.734000 6.094000\nHess (approx) 6.000000 4.000000 10.000000\nHess (exact) 6.000000 4.000000 10.000000\n\nTesting smooth function f(x,y) = sin(pi x)*cos(pi y)\nGrad (approx) -0.076949 -3.072093\nGrad (exact) -0.078364 -3.047367\nHess (approx) 1.121192 -2.065178 1.184418\nHess (exact) 1.117863 -2.108393 1.117863\n```\n",
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