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More changes for v. 1.7.0
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Jonathan Lilly committed Feb 17, 2021
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32 changes: 32 additions & 0 deletions doc/besselitilde.html
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<html><head><meta http-equiv="Content-Style-Type" content="text/html; charset=UTF-8" />
<style type="text/css" media="all"> @import "m2html.css";</style>
<title>jLab Help Files</title></head><body>
<div><h1>BESSELITILDE is the <a href="jOceans.html">jOceans</a> module of <a href="jLab.html">jLab</a>.</h1></div><div class="fragment"><pre class="comment">
<a href="besselitilde.html">BESSELITILDE</a> I-type Bessel function after factoring off exponential growth.

ITILDE=<a href="besselitilde.html">BESSELITILDE</a>(NU,Z) returns the modified Bessel function of the
first kind of order NU at argument Z, after factoring off the
asymptotic behavior of EXP(Z).

<a href="besselitilde.html">BESSELITILDE</a> is useful for products of modified Bessel functions in
which the exponential behaviors cancel, but that cannot be evaluated
directly because of numerical overflow.

<a href="besselitilde.html">BESSELITILDE</a>(NU,Z,N) use a summation truncated at N terms. The default
behavior uses N=30 and is highly accurate.

See 10.40.1 of https://dlmf.nist.gov/10.40.

This is low-level code used by <a href="windtrans.html">WINDTRANS</a> using an algorithm described
in Lilly and Elipot (2021).

See also <a href="besselktilde.html">BESSELKTILDE</a>.

'<a href="besselitilde.html">besselitilde</a> --t' runs a test.

Usage: I=<a href="besselitilde.html">besselitilde</a>(nu,z);
I=<a href="besselitilde.html">besselitilde</a>(nu,z,nterms);
__________________________________________________________________
This is part of <a href="jLab.html">JLAB</a> --- type 'help jlab' for more information
(C) 2019--2021 J.M. Lilly --- type 'help <a href="jlab_license.html">jlab_license</a>' for details
</pre></div><h2><a href="jLab.html">contents</a> | <a href="jlab_allhelp.html">allhelp</a> | <a href="jlab_index.html">index</a></h2></body></html>
32 changes: 32 additions & 0 deletions doc/besselktilde.html
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<html><head><meta http-equiv="Content-Style-Type" content="text/html; charset=UTF-8" />
<style type="text/css" media="all"> @import "m2html.css";</style>
<title>jLab Help Files</title></head><body>
<div><h1>BESSELKTILDE is the <a href="jOceans.html">jOceans</a> module of <a href="jLab.html">jLab</a>.</h1></div><div class="fragment"><pre class="comment">
<a href="besselktilde.html">BESSELKTILDE</a> K-type Bessel function after factoring off exponential decay.

KTILDE=<a href="besselktilde.html">BESSELKTILDE</a>(NU,Z) returns the modified Bessel function of the
second kind of order NU at argument Z, after factoring off the
asymptotic behavior of EXP(-Z).

<a href="besselktilde.html">BESSELKTILDE</a> is useful for products of modified Bessel functions in
which the exponential behaviors cancel, but that cannot be evaluated
directly because of numerical overflow.

<a href="besselitilde.html">BESSELITILDE</a>(NU,Z,N) use a summation truncated at N terms. The default
behavior uses N=30 and is highly accurate.

See 10.40.2 of https://dlmf.nist.gov/10.40.

This is low-level code used by <a href="windtrans.html">WINDTRANS</a> using an algorithm described
in Lilly and Elipot (2021).

See also <a href="besselitilde.html">BESSELITILDE</a>.

'<a href="besselktilde.html">besselktilde</a> --t' runs a test.

Usage: K=<a href="besselktilde.html">besselktilde</a>(nu,z);
K=<a href="besselktilde.html">besselktilde</a>(nu,z,nterms);
__________________________________________________________________
This is part of <a href="jLab.html">JLAB</a> --- type 'help jlab' for more information
(C) 2019--2021 J.M. Lilly --- type 'help <a href="jlab_license.html">jlab_license</a>' for details
</pre></div><h2><a href="jLab.html">contents</a> | <a href="jlab_allhelp.html">allhelp</a> | <a href="jlab_index.html">index</a></h2></body></html>
2 changes: 1 addition & 1 deletion doc/jLab.html
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<title>jLab Help Files</title></head><body>
<div><h1>Welcome to <a href="jLab.html">jLab</a>.</h1><div><div class="fragment"><pre class="comment">

<a href="jLab.html">jLab</a> v1.6.9 by J. M. Lilly
<a href="jLab.html">jLab</a> v1.7.0 by J. M. Lilly

A data analysis toolbox for Matlab, including routines for big data
analysis, signal processing, mapping, and oceanographic applications.
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10 changes: 10 additions & 0 deletions doc/jOceans.html
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Alongtrack altimetry tools
<a href="trackextract.html">trackextract</a> - Extracts alongtrack altimetry segments within given region.

Wind-driven surface currents
<a href="windtrans.html">windtrans</a> - Ekman-like transfer-functions for the wind-driven response.

NetCDF tools
<a href="ncinterp.html">ncinterp</a> - One-line interpolation from 3D lat/lon/time field in NetCDF file.

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jtopo.mat - One-sixth degree global topography, from Smith and Sandwell + IBCAO.
<a href="topoplot.html">topoplot</a> - Plot regional or global topography at one-sixth degree resolution.

Low-level functions
<a href="besselktilde.html">besselktilde</a> - K-type Bessel function after factoring off exponential decay.
<a href="besselitilde.html">besselitilde</a> - I-type Bessel function after factoring off exponential growth.
<a href="curveinterp.html">curveinterp</a> - Interpolate a field or its gradient onto a set of curves.
<a href="orbitbreaks.html">orbitbreaks</a> - Separate orbit into passes based on turning points.
<a href="topo_copyright.html">topo_copyright</a> - Copyright statement for the Smith and Sandwell topography.

See also <a href="jData.html">jData</a>.
</pre></div><h2><a href="jLab.html">contents</a> | <a href="jlab_allhelp.html">allhelp</a> | <a href="jlab_index.html">index</a></h2></body></html>
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