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ORCIDChristoph Ortner
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2020 – today
- 2024
[j49]Cheuk Hin Ho
, Timon S. Gutleb, Christoph Ortner:
Atomic cluster expansion without self-interaction. J. Comput. Phys. 515: 113271 (2024)- [j48]Xuanyu Liu, Huajie Chen, Christoph Ortner:
Stability of the minimum energy path. Numerische Mathematik 156(1): 39-70 (2024) - [j47]Dexuan Zhou, Huajie Chen, Cheuk Hin Ho, Christoph Ortner:
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion. SIAM J. Sci. Comput. 46(1): 105- (2024) - [c3]Ilyes Batatia, Lars L. Schaaf, Gábor Csányi, Christoph Ortner, Felix A. Faber:
Equivariant Matrix Function Neural Networks. ICLR 2024 - [i24]Cheuk Hin Ho, Timon S. Gutleb, Christoph Ortner:
Atomic Cluster Expansion without Self-Interaction. CoRR abs/2401.01550 (2024) - [i23]Tina Torabi, Yangshuai Wang, Christoph Ortner:
Surrogate models for vibrational entropy based on a spatial decomposition. CoRR abs/2402.12744 (2024) - [i22]Timon S. Gutleb, Rhyan Barrett, Julia Westermayr, Christoph Ortner:
Parameterizing Intersecting Surfaces via Invariants. CoRR abs/2407.03731 (2024) - 2023
- [j46]Christoph Ortner, Yangshuai Wang:
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials. Multiscale Model. Simul. 21(3): 1053-1080 (2023) - [j45]Derek Olson, Christoph Ortner, Yangshuai Wang, Lei Zhang:
Elastic Far-Field Decay from Dislocations in Multilattices. Multiscale Model. Simul. 21(4): 1379-1409 (2023) - [j44]Markus Bachmayr, Geneviève Dusson, Christoph Ortner, Jack Thomas:
Polynomial approximation of symmetric functions. Math. Comput. 93(346): 811-839 (2023) - [c2]Ilyes Batatia, Mario Geiger, Jose M. Munoz, Tess E. Smidt, Lior Silberman, Christoph Ortner:
A General Framework for Equivariant Neural Networks on Reductive Lie Groups. NeurIPS 2023 - [i21]Dexuan Zhou, Huajie Chen, Cheuk Hin Ho, Christoph Ortner:
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion. CoRR abs/2304.04260 (2023) - [i20]Ilyes Batatia, Mario Geiger, Jose M. Munoz, Tess E. Smidt, Lior Silberman, Christoph Ortner:
A General Framework for Equivariant Neural Networks on Reductive Lie Groups. CoRR abs/2306.00091 (2023) - [i19]Jose M. Munoz, Ilyes Batatia, Christoph Ortner, Francesco Romeo:
Retrieval of Boost Invariant Symbolic Observables via Feature Importance. CoRR abs/2306.13496 (2023) - [i18]Ilyes Batatia, Lars L. Schaaf, Huajie Chen, Gábor Csányi, Christoph Ortner, Felix A. Faber:
Equivariant Matrix Function Neural Networks. CoRR abs/2310.10434 (2023) - [i17]Yangshuai Wang, Shashwat Patel, Christoph Ortner:
A Theoretical Case Study of the Generalisation of Machine-learned Potentials. CoRR abs/2311.01664 (2023) - 2022
- [j43]Geneviève Dusson, Markus Bachmayr, Gábor Csányi, Ralf Drautz, Simon Etter, Cas van der Oord, Christoph Ortner:
Atomic cluster expansion: Completeness, efficiency and stability. J. Comput. Phys. 454: 110946 (2022) - [j42]Jose M. Munoz, Ilyes Batatia, Christoph Ortner:
Boost invariant polynomials for efficient jet tagging. Mach. Learn. Sci. Technol. 3(4): 4 (2022) - [j41]Huajie Chen, Christoph Ortner, Yangshuai Wang:
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models. Multiscale Model. Simul. 20(4): 1490-1518 (2022) - [j40]Anna Kh. Balci, Christoph Ortner, Johannes Storn:
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. Numerische Mathematik 151(4): 779-805 (2022) - [c1]Ilyes Batatia, Dávid Péter Kovács, Gregor N. C. Simm, Christoph Ortner, Gábor Csányi:
MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields. NeurIPS 2022 - [i16]Illia Kaliuzhnyi, Christoph Ortner:
Optimal Evaluation of Symmetry-Adapted n-Correlations Via Recursive Contraction of Sparse Symmetric Tensors. CoRR abs/2202.04140 (2022) - [i15]Xuanyu Liu, Huajie Chen, Christoph Ortner:
Stability of the Minimum Energy Path. CoRR abs/2204.00984 (2022) - [i14]Xuanyu Liu, Huajie Chen, Christoph Ortner:
Convergence of the Discrete Minimum Energy Path. CoRR abs/2204.07467 (2022) - [i13]Ilyes Batatia, Simon L. Batzner, Dávid Péter Kovács, Albert Musaelian, Gregor N. C. Simm, Ralf Drautz, Christoph Ortner, Boris Kozinsky, Gábor Csányi:
The Design Space of E(3)-Equivariant Atom-Centered Interatomic Potentials. CoRR abs/2205.06643 (2022) - [i12]Ilyes Batatia, Dávid Péter Kovács, Gregor N. C. Simm, Christoph Ortner, Gábor Csányi:
MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields. CoRR abs/2206.07697 (2022) - [i11]Jose M. Munoz, Ilyes Batatia, Christoph Ortner:
BIP: Boost Invariant Polynomials for Efficient Jet Tagging. CoRR abs/2207.08272 (2022) - [i10]Christoph Ortner, Yangshuai Wang:
A framework for a generalisation analysis of machine-learned interatomic potentials. CoRR abs/2209.05366 (2022) - [i9]James P. Darby, Dávid Péter Kovács, Ilyes Batatia, Miguel A. Caro, Gus L. W. Hart, Christoph Ortner, Gábor Csányi:
Tensor-reduced atomic density representations. CoRR abs/2210.01705 (2022) - [i8]Yangshuai Wang, James R. Kermode, Christoph Ortner, Lei Zhang:
A Posteriori Error Estimate and Adaptivity for QM/MM Models of Crystalline Defects. CoRR abs/2210.04856 (2022) - [i7]Julian Braun, Christoph Ortner, Yangshuai Wang, Lei Zhang:
Higher Order Far-Field Boundary Conditions for Crystalline Defects. CoRR abs/2210.05573 (2022) - 2021
- [j39]Alice E. A. Allen, Geneviève Dusson, Christoph Ortner, Gábor Csányi:
Atomic permutationally invariant polynomials for fitting molecular force fields. Mach. Learn. Sci. Technol. 2(2): 25017 (2021) - [j38]Yangshuai Wang, Huajie Chen, Mingjie Liao, Christoph Ortner, Hao Wang, Lei Zhang:
A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods. SIAM J. Sci. Comput. 43(4): A2785-A2808 (2021) - [i6]Anna Kh. Balci, Christoph Ortner, Johannes Storn:
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. CoRR abs/2106.06837 (2021) - [i5]Huajie Chen, Christoph Ortner, Yangshuai Wang:
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned Interatomic Potentials. CoRR abs/2106.14559 (2021) - [i4]Markus Bachmayr, Geneviève Dusson, Christoph Ortner:
Polynomial Approximation of Symmetric Functions. CoRR abs/2109.14771 (2021) - 2020
- [j37]Cas van der Oord, Geneviève Dusson, Gábor Csányi, Christoph Ortner:
Regularised atomic body-ordered permutation-invariant polynomials for the construction of interatomic potentials. Mach. Learn. Sci. Technol. 1(1): 15004 (2020) - [j36]Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner:
Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate Bilayers. Multiscale Model. Simul. 18(4): 1525-1564 (2020) - [j35]Julian Braun, Christoph Ortner:
Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect. SIAM J. Numer. Anal. 58(1): 279-297 (2020) - [i3]Yangshuai Wang, Huajie Chen, Mingjie Liao, Christoph Ortner, Hao Wang, Lei Zhang:
A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods. CoRR abs/2007.05260 (2020)
2010 – 2019
- 2019
- [j34]Julian Braun, Maciej Buze, Christoph Ortner:
The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores. SIAM J. Math. Anal. 51(2): 1108-1136 (2019) - [i2]Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner:
Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers. CoRR abs/1907.01314 (2019) - [i1]Markus Bachmayr, Gábor Csányi, Geneviève Dusson, Simon Etter, Cas van der Oord, Christoph Ortner:
Approximation of Potential Energy Surfaces with Spherical Harmonics. CoRR abs/1911.03550 (2019) - 2018
- [j33]Daniel Massatt, Stephen Carr, Mitchell Luskin, Christoph Ortner:
Incommensurate Heterostructures in Momentum Space. Multiscale Model. Simul. 16(1): 429-451 (2018) - [j32]Derek Olson, Xingjie Li, Christoph Ortner, Brian Van Koten:
Force-based atomistic/continuum blending for multilattices. Numerische Mathematik 140(3): 703-754 (2018) - 2017
- [j31]Huajie Chen, Christoph Ortner:
QM/MM Methods for Crystalline Defects. Part 2: Consistent Energy and Force-Mixing. Multiscale Model. Simul. 15(1): 184-214 (2017) - [j30]Daniel Massatt, Mitchell Luskin, Christoph Ortner:
Electronic Density of States for Incommensurate Layers. Multiscale Model. Simul. 15(1): 476-499 (2017) - [j29]Andrew Binder, Mitchell Luskin, Christoph Ortner:
Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D. Multiscale Model. Simul. 15(2): 892-919 (2017) - [j28]Antoine Levitt, Christoph Ortner:
Convergence and Cycling in Walker-type Saddle Search Algorithms. SIAM J. Numer. Anal. 55(5): 2204-2227 (2017) - 2016
- [j27]Huajie Chen, Christoph Ortner:
QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model. Multiscale Model. Simul. 14(1): 232-264 (2016) - [j26]Nicholas I. M. Gould, Christoph Ortner, D. Packwood:
A dimer-type saddle search algorithm with preconditioning and linesearch. Math. Comput. 85(302): 2939-2966 (2016) - [j25]Xingjie Helen Li, Christoph Ortner, Alexander V. Shapeev, Brian Van Koten:
Analysis of blended atomistic/continuum hybrid methods. Numerische Mathematik 134(2): 275-326 (2016) - [j24]Christoph Ortner, Lei Zhang:
Atomistic/Continuum Blending with Ghost Force Correction. SIAM J. Sci. Comput. 38(1) (2016) - 2015
- [j23]Thomas Hudson, Christoph Ortner:
Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model. SIAM J. Math. Anal. 47(1): 291-320 (2015) - 2014
- [j22]Christoph Ortner, Alexander V. Shapeev, Lei Zhang:
(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods. Multiscale Model. Simul. 12(3): 1258-1293 (2014) - [j21]Alexander Mielke, Christoph Ortner, Yasemin Sengül:
An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows. SIAM J. Math. Anal. 46(2): 1317-1347 (2014) - 2013
- [j20]Mitchell Luskin, Christoph Ortner:
Atomistic-to-continuum coupling. Acta Numer. 22: 397-508 (2013) - [j19]B. Langwallner, Christoph Ortner, Endre Süli:
Atomistic-to-Continuum Coupling Approximation of a One-Dimensional Toy Model for Density Functional Theory. Multiscale Model. Simul. 11(1): 59-91 (2013) - [j18]Brian Van Koten, Christoph Ortner:
Symmetries of 2-Lattices and Second Order Accuracy of the Cauchy-Born Model. Multiscale Model. Simul. 11(2): 615-634 (2013) - [j17]Christoph Ortner, Alexander V. Shapeev:
Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice. Math. Comput. 82(284): 2191-2236 (2013) - 2012
- [j16]Matthew Dobson, Christoph Ortner, Alexander V. Shapeev:
The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain. Multiscale Model. Simul. 10(3): 744-765 (2012) - [j15]Xingjie Helen Li, Mitchell Luskin, Christoph Ortner:
Positive Definiteness of the Blended Force-Based Quasicontinuum Method. Multiscale Model. Simul. 10(3): 1023-1045 (2012) - [j14]Christoph Ortner, Lei Zhang:
Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem. SIAM J. Numer. Anal. 50(6): 2940-2965 (2012) - 2011
- [j13]Christoph Ortner:
A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D. Math. Comput. 80(275): 1265-1285 (2011) - [j12]Christoph Ortner, Winnifried Wollner:
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state. Numerische Mathematik 118(3): 587-600 (2011) - [j11]Charalambos G. Makridakis, Christoph Ortner, Endre Süli:
A priori error analysis of two force-based atomistic/continuum models of a periodic chain. Numerische Mathematik 119(1): 83-121 (2011) - [j10]Sören Bartels, Rüdiger Müller, Christoph Ortner:
Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes. SIAM J. Numer. Anal. 49(1): 110-134 (2011) - [j9]Christoph Ortner, Dirk Praetorius:
On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems. SIAM J. Numer. Anal. 49(1): 346-367 (2011) - 2010
- [j8]Carsten Carstensen, Christoph Ortner:
Analysis of a Class of Penalty Methods for Computing Singular Minimizers. Comput. Methods Appl. Math. 10(2): 137-163 (2010) - [j7]Matthew Dobson, Mitchell Luskin, Christoph Ortner:
Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation. Multiscale Model. Simul. 8(3): 782-802 (2010) - [j6]Samuel Ferraz-Leite, Christoph Ortner, Dirk Praetorius:
Convergence of simple adaptive Galerkin schemes based on h - h/2 error estimators. Numerische Mathematik 116(2): 291-316 (2010) - [j5]Siobhan Burke, Christoph Ortner, Endre Süli:
An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture. SIAM J. Numer. Anal. 48(3): 980-1012 (2010)
2000 – 2009
- 2009
- [j4]Christoph Ortner:
A Posteriori Existence in Numerical Computations. SIAM J. Numer. Anal. 47(4): 2550-2577 (2009) - [j3]Mitchell Luskin, Christoph Ortner:
An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method. SIAM J. Numer. Anal. 47(4): 3070-3086 (2009) - 2007
- [j2]Christoph Ortner, Endre Süli:
Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems. SIAM J. Numer. Anal. 45(4): 1370-1397 (2007) - 2006
- [j1]Christoph Ortner:
Gradient Flows as a Selection Procedure for Equilibria of Nonconvex Energies. SIAM J. Math. Anal. 38(4): 1214-1234 (2006)
Coauthor Index
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