deploy: 7c26b99

Author: pancetta

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@@ -622,6 +622,101 @@ <h2 id="year2026" class="year">2026 <span class="count-stat"></span></h2>
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+          GaraiEtAl2026b
+        </div>
+      </div>
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+    <div class="bibtex-ref-entry">
+      <span id="GaraiEtAl2026b">G. Garai and N. Chamakuri, “Exp-ParaDiag: Time-Parallel Exponential Integrators for Parabolic PDEs,” arXiv:2603.04350v1 [math.NA], 2026 [Online]. Available at: <a href="https://arxiv.org/abs/2603.04350v1" target="_blank">https://arxiv.org/abs/2603.04350v1</a></span>
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+            BibTeX
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+          <button class="button" data-toggle="modal" data-target="#modalGaraiEtAl2026bAbstract" aria-expanded="false"
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+                  BibTeX entry <code>GaraiEtAl2026b</code>
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+            <pre class="abstract">@unpublished{GaraiEtAl2026b,
+  author = {Garai, Gobinda and Chamakuri, Nagaiah},
+  howpublished = {arXiv:2603.04350v1 [math.NA]},
+  title = {Exp-ParaDiag: Time-Parallel Exponential Integrators for Parabolic PDEs},
+  url = {https://arxiv.org/abs/2603.04350v1},
+  year = {2026}
+}
+</pre>
+          </section>
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+  <div class="modal" id="modalGaraiEtAl2026bAbstract" tabindex="-1" role="dialog"
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+                  Abstract for BibTeX entry <code>GaraiEtAl2026b</code>
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+            This paper introduces Exp-ParaDiag, a novel time-parallel method that combines the strength of exponential integrators into the ParaDiag framework. We develop and analyze Exp-ParaDiag based on first and second order accurate exponential integrators. We establish the convergence of the proposed methods both as preconditioned fixed-point iterations and as precon- ditioners within the GMRES framework. Furthermore, we extend the Exp-ParaDiag formulation to achieve sixth-order temporal accuracy using exponential integrators. The proposed approach is also generalized to nonlinear problems, for which convergence is rigorously demonstrated. A series of numerical experiments is presented to validate the theoretical results and to illustrate the robustness and efficiency of the developed methods.
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