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2020 – today
- 2025
[j17]Hendrik Ranocha
, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner:
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws. J. Comput. Phys. 520: 113471 (2025)- 2024
- [j16]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces: The second derivative. J. Comput. Phys. 504: 112889 (2024) - [j15]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form. J. Sci. Comput. 98(1): 30 (2024) - [j14]Jan Glaubitz, Anne Gelb:
Leveraging Joint Sparsity in Hierarchical Bayesian Learning. SIAM/ASA J. Uncertain. Quantification 12(2): 442-472 (2024) - [i22]Jonathan Lindbloom, Jan Glaubitz, Anne Gelb:
Generalized sparsity-promoting solvers for Bayesian inverse problems: Versatile sparsifying transforms and unknown noise variances. CoRR abs/2402.16623 (2024) - [i21]Jan Glaubitz, Jan Nordström, Philipp Öffner:
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids. CoRR abs/2405.08770 (2024) - [i20]Jan Glaubitz, Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor Gassner:
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods. CoRR abs/2406.14557 (2024) - 2023
- [j13]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. J. Comput. Phys. 491: 112370 (2023) - [j12]Yao Xiao, Jan Glaubitz:
Sequential Image Recovery Using Joint Hierarchical Bayesian Learning. J. Sci. Comput. 96(1): 4 (2023) - [j11]Jan Glaubitz, Anne Gelb, Guohui Song:
Generalized Sparse Bayesian Learning and Application to Image Reconstruction. SIAM/ASA J. Uncertain. Quantification 11(1): 262-284 (2023) - [j10]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Summation-by-Parts Operators for General Function Spaces. SIAM J. Numer. Anal. 61(2): 733-754 (2023) - [i19]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. CoRR abs/2301.12996 (2023) - [i18]Jan Glaubitz, Jonah A. Reeger:
Towards stability results for global radial basis function based quadrature formulas. CoRR abs/2301.12998 (2023) - [i17]Jan Glaubitz, Anne Gelb:
Leveraging joint sparsity in hierarchical Bayesian learning. CoRR abs/2303.16954 (2023) - [i16]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces: The second derivative. CoRR abs/2306.16314 (2023) - [i15]Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner:
High-order upwind summation-by-parts methods for nonlinear conservation laws. CoRR abs/2311.13888 (2023) - 2022
- [j9]Yao Xiao, Jan Glaubitz, Anne Gelb, Guohui Song:
Sequential Image Recovery from Noisy and Under-Sampled Fourier Data. J. Sci. Comput. 91(3): 79 (2022) - [i14]Jan Glaubitz, Anne Gelb, Guohui Song:
Generalized sparse Bayesian learning and application to image reconstruction. CoRR abs/2201.07061 (2022) - [i13]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces. CoRR abs/2203.05479 (2022) - [i12]Yao Xiao, Jan Glaubitz, Anne Gelb, Guohui Song:
Sequential image recovery from noisy and under-sampled Fourier data. CoRR abs/2203.14746 (2022) - [i11]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Energy-stable global radial basis function methods on summation-by-parts form. CoRR abs/2204.03291 (2022) - [i10]Yao Xiao, Jan Glaubitz:
Sequential image recovery using joint hierarchical Bayesian learning. CoRR abs/2206.12745 (2022) - 2021
- [j8]Jan Glaubitz, Élise Le Mélédo, Philipp Öffner:
Towards stable radial basis function methods for linear advection problems. Comput. Math. Appl. 85: 84-97 (2021) - [j7]Jan Glaubitz:
Stable high-order cubature formulas for experimental data. J. Comput. Phys. 447: 110693 (2021) - [j6]Jan Glaubitz, Anne Gelb:
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions. J. Sci. Comput. 87(2): 40 (2021) - [i9]Jan Glaubitz, Élise Le Mélédo, Philipp Öffner:
Towards Stable Radial Basis Function Methods for Linear Advection Problems. CoRR abs/2101.09623 (2021) - [i8]Jan Glaubitz, Anne Gelb:
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions. CoRR abs/2102.00967 (2021) - [i7]Jan Glaubitz:
Construction and application of provable positive and exact cubature formulas. CoRR abs/2108.02848 (2021) - [i6]Jan Glaubitz, Jonah A. Reeger:
Towards stability of radial basis function based cubature formulas. CoRR abs/2108.06375 (2021) - 2020
- [j5]Jan Glaubitz:
Stable High Order Quadrature Rules for Scattered Data and General Weight Functions. SIAM J. Numer. Anal. 58(4): 2144-2164 (2020) - [i5]Jan Glaubitz, Philipp Öffner:
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points. CoRR abs/2001.00507 (2020) - [i4]Jan Glaubitz:
Stable High Order Quadrature Rules for Scattered Data and General Weight Functions. CoRR abs/2007.09082 (2020) - [i3]Jan Glaubitz:
Stable High-Order Cubature Formulas for Experimental Data. CoRR abs/2009.03452 (2020) - [i2]Jan Glaubitz:
Constructing Positive Interpolatory Cubature Formulas. CoRR abs/2009.11981 (2020)
2010 – 2019
- 2019
- [j4]Jan Glaubitz:
Shock capturing by Bernstein polynomials for scalar conservation laws. Appl. Math. Comput. 363 (2019) - [j3]Jan Glaubitz, Alberto Costa Nogueira Jr., João Lucas de Sousa Almeida, R. F. Cantão, C. A. C. Silva:
Smooth and Compactly Supported Viscous Sub-cell Shock Capturing for Discontinuous Galerkin Methods. J. Sci. Comput. 79(1): 249-272 (2019) - [j2]Jan Glaubitz, Anne Gelb:
High Order Edge Sensors with ℓ1 Regularization for Enhanced Discontinuous Galerkin Methods. SIAM J. Sci. Comput. 41(2): A1304-A1330 (2019) - [i1]Jan Glaubitz:
Shock Capturing by Bernstein Polynomials for Scalar Conservation Laws. CoRR abs/1907.04115 (2019) - 2018
- [j1]Jan Glaubitz, Philipp Öffner, Thomas Sonar:
Application of modal filtering to a spectral difference method. Math. Comput. 87(309): 175-207 (2018)
Coauthor Index
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