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<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Multerer Software</title>
<meta name="viewport" content="width=device-width, initial-scale=1">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<link rel="stylesheet" href="css/styles.css">
</head>
<body>
<div class="wrapper">
<!-- Header -->
<header>
<div class="profile">
<img src="resources/mm2020.jpg"
alt="Portrait of Michael Multerer"
width="160"
style="border-radius:50%">
<h1>Michael Multerer</h1>
<h3>Università della Svizzera italiana</h3>
<p class="view">
<a href="http://usi.to/3ps">http://usi.to/3ps</a>
</p>
</div>
<nav aria-label="Main navigation">
<ul>
<li><a href="index.html">CV</a></li>
<li><a href="research.html">Research</a></li>
<li><a href="publications.html">Publications</a></li>
<li><a href="software.html">Software</a></li>
<li><a href="lecturenotes.html">Lecture Notes</a></li>
</ul>
</nav>
</header>
<!-- Main content -->
<main>
<section aria-labelledby="software-heading">
<h1 id="software-heading">Software</h1>
<h2>Fast multiresolution covariance analysis (FMCA)</h2>
<p>
FMCA is a header-only library for the multiresolution analysis of scattered
data and kernel matrices. It is developed at the Università della
Svizzera italiana in the research group of Michael Multerer. Currently,
the library features the construction of samplet bases and different
versions of the pivoted Cholesky decomposition. The fast samplet
covariance compression introduced in
<a href="https://doi.org/10.1016/j.jcp.2022.111616">
Samplets: Construction and scattered data compression
</a>
will be added soon.
</p>
<p>
Link:
<a href="https://github.com/muchip/fmca">https://github.com/muchip/fmca</a>
</p>
<h2>BEM-Based Engineering Library (Bembel)</h2>
<p>
Bembel is a Boundary Element Method Based Engineering Library written in C and C++
to solve boundary value problems governed by the Laplace, Helmholtz or electric
wave equation. It was written as part of a cooperation between the TU Darmstadt
and the University of Basel, coordinated by H. Harbrecht, S. Kurz and S. Schöps.
It is based on the Laplace BEM of J. Dölz, H. Harbrecht and M. Multerer as well
as the spline and geometry framework of F. Wolf.
</p>
<p>
Link:
<a href="https://temf.github.io/bembel">www.bembel.eu</a>
</p>
<h2>SParse Quadrature Routines (SPQR)</h2>
<p>
SPQR is a package which implements the anisotropic sparse grid quadrature for
arbitrary downward closed index sets. To provide maximum flexibility, the
underlying univariate quadrature rules as well as the criterion for the sparse
index set can be defined by the user. Optimised versions of the total degree
index set and the hyperbolic cross index set are provided by default.
Currently, the package comes with a simple Matlab interface.
</p>
<p>
Link:
<a href="https://github.com/muchip/SPQR">https://github.com/muchip/SPQR</a>
</p>
</section>
</main>
</div>
</body>
</html>