Christoph Ortner

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 53

Top Topics

Top Venues

Multiscale Model. Simul.

Numerische Mathematik

Mach. Learn. Sci. Technol.

Publications

Ilyes Batatia, Lars L. Schaaf, Gábor Csányi, Christoph Ortner, Felix A. Faber
Equivariant Matrix Function Neural Networks. ICLR (2024)
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) (2024)
Tina Torabi, Yangshuai Wang, Christoph Ortner
Surrogate models for vibrational entropy based on a spatial decomposition. CoRR (2024)
Xuanyu Liu, Huajie Chen, Christoph Ortner
Stability of the minimum energy path. Numerische Mathematik 156 (1) (2024)
Cheuk Hin Ho, Timon S. Gutleb, Christoph Ortner
Atomic cluster expansion without self-interaction. J. Comput. Phys. 515 (2024)
Timon S. Gutleb, Rhyan Barrett, Julia Westermayr, Christoph Ortner
Parameterizing Intersecting Surfaces via Invariants. CoRR (2024)
Cheuk Hin Ho, Timon S. Gutleb, Christoph Ortner
Atomic Cluster Expansion without Self-Interaction. CoRR (2024)
Markus Bachmayr, Geneviève Dusson, Christoph Ortner, Jack Thomas
Polynomial approximation of symmetric functions. Math. Comput. 93 (346) (2023)
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)
Derek Olson, Christoph Ortner, Yangshuai Wang, Lei Zhang
Elastic Far-Field Decay from Dislocations in Multilattices. Multiscale Model. Simul. 21 (4) (2023)
Christoph Ortner, Yangshuai Wang
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials. Multiscale Model. Simul. 21 (3) (2023)
Dexuan Zhou, Huajie Chen, Cheuk Hin Ho, Christoph Ortner
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion. CoRR (2023)
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 (2023)
Jose M. Munoz, Ilyes Batatia, Christoph Ortner, Francesco Romeo
Retrieval of Boost Invariant Symbolic Observables via Feature Importance. CoRR (2023)
Yangshuai Wang, Shashwat Patel, Christoph Ortner
A Theoretical Case Study of the Generalisation of Machine-learned Potentials. CoRR (2023)
Ilyes Batatia, Lars L. Schaaf, Huajie Chen, Gábor Csányi, Christoph Ortner, Felix A. Faber
Equivariant Matrix Function Neural Networks. CoRR (2023)
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 (2022)
Anna Kh. Balci, Christoph Ortner, Johannes Storn
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. Numerische Mathematik 151 (4) (2022)
Huajie Chen, Christoph Ortner, Yangshuai Wang
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models. Multiscale Model. Simul. 20 (4) (2022)
Yangshuai Wang, James R. Kermode, Christoph Ortner, Lei Zhang
A Posteriori Error Estimate and Adaptivity for QM/MM Models of Crystalline Defects. CoRR (2022)
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 (2022)
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 (2022)
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)
Julian Braun, Christoph Ortner, Yangshuai Wang, Lei Zhang
Higher Order Far-Field Boundary Conditions for Crystalline Defects. CoRR (2022)
Christoph Ortner, Yangshuai Wang
A framework for a generalisation analysis of machine-learned interatomic potentials. CoRR (2022)
Xuanyu Liu, Huajie Chen, Christoph Ortner
Convergence of the Discrete Minimum Energy Path. CoRR (2022)
Jose M. Munoz, Ilyes Batatia, Christoph Ortner
BIP: Boost Invariant Polynomials for Efficient Jet Tagging. CoRR (2022)
Jose M. Munoz, Ilyes Batatia, Christoph Ortner
Boost invariant polynomials for efficient jet tagging. Mach. Learn. Sci. Technol. 3 (4) (2022)
Xuanyu Liu, Huajie Chen, Christoph Ortner
Stability of the Minimum Energy Path. CoRR (2022)
Illia Kaliuzhnyi, Christoph Ortner
Optimal Evaluation of Symmetry-Adapted n-Correlations Via Recursive Contraction of Sparse Symmetric Tensors. CoRR (2022)
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 (2022)
Anna Kh. Balci, Christoph Ortner, Johannes Storn
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. CoRR (2021)
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) (2021)
Markus Bachmayr, Geneviève Dusson, Christoph Ortner
Polynomial Approximation of Symmetric Functions. CoRR (2021)
Huajie Chen, Christoph Ortner, Yangshuai Wang
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned Interatomic Potentials. CoRR (2021)
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) (2021)
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) (2020)
Yangshuai Wang, Huajie Chen, Mingjie Liao, Christoph Ortner, Hao Wang, Lei Zhang
A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods. CoRR (2020)
Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner
Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate Bilayers. Multiscale Model. Simul. 18 (4) (2020)
Julian Braun, Christoph Ortner
Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect. SIAM J. Numer. Anal. 58 (1) (2020)
Markus Bachmayr, Gábor Csányi, Geneviève Dusson, Simon Etter, Cas van der Oord, Christoph Ortner
Approximation of Potential Energy Surfaces with Spherical Harmonics. CoRR (2019)
Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner
Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers. CoRR (2019)
Julian Braun, Maciej Buze, Christoph Ortner
The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores. SIAM J. Math. Anal. 51 (2) (2019)
Derek Olson, Xingjie Li, Christoph Ortner, Brian Van Koten
Force-based atomistic/continuum blending for multilattices. Numerische Mathematik 140 (3) (2018)
Daniel Massatt, Stephen Carr, Mitchell Luskin, Christoph Ortner
Incommensurate Heterostructures in Momentum Space. Multiscale Model. Simul. 16 (1) (2018)
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) (2017)
Daniel Massatt, Mitchell Luskin, Christoph Ortner
Electronic Density of States for Incommensurate Layers. Multiscale Model. Simul. 15 (1) (2017)
Huajie Chen, Christoph Ortner
QM/MM Methods for Crystalline Defects. Part 2: Consistent Energy and Force-Mixing. Multiscale Model. Simul. 15 (1) (2017)
Antoine Levitt, Christoph Ortner
Convergence and Cycling in Walker-type Saddle Search Algorithms. SIAM J. Numer. Anal. 55 (5) (2017)
Xingjie Helen Li, Christoph Ortner, Alexander V. Shapeev, Brian Van Koten
Analysis of blended atomistic/continuum hybrid methods. Numerische Mathematik 134 (2) (2016)
Christoph Ortner, Lei Zhang
Atomistic/Continuum Blending with Ghost Force Correction. SIAM J. Sci. Comput. 38 (1) (2016)
Nicholas I. M. Gould, Christoph Ortner, D. Packwood
A dimer-type saddle search algorithm with preconditioning and linesearch. Math. Comput. 85 (302) (2016)
Huajie Chen, Christoph Ortner
QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model. Multiscale Model. Simul. 14 (1) (2016)
Thomas Hudson, Christoph Ortner
Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model. SIAM J. Math. Anal. 47 (1) (2015)
Alexander Mielke, Christoph Ortner, Yasemin Sengül
An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows. SIAM J. Math. Anal. 46 (2) (2014)
Christoph Ortner, Alexander V. Shapeev, Lei Zhang
(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods. Multiscale Model. Simul. 12 (3) (2014)
Mitchell Luskin, Christoph Ortner
Atomistic-to-continuum coupling. Acta Numer. 22 (2013)
Brian Van Koten, Christoph Ortner
Symmetries of 2-Lattices and Second Order Accuracy of the Cauchy-Born Model. Multiscale Model. Simul. 11 (2) (2013)
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) (2013)
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) (2013)
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) (2012)
Xingjie Helen Li, Mitchell Luskin, Christoph Ortner
Positive Definiteness of the Blended Force-Based Quasicontinuum Method. Multiscale Model. Simul. 10 (3) (2012)
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) (2012)
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) (2011)
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) (2011)
Christoph Ortner
A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D. Math. Comput. 80 (275) (2011)
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) (2011)
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) (2011)
Samuel Ferraz-Leite, Christoph Ortner, Dirk Praetorius
/2 error estimators. Numerische Mathematik 116 (2) (2010)
Carsten Carstensen, Christoph Ortner
Analysis of a Class of Penalty Methods for Computing Singular Minimizers. Comput. Methods Appl. Math. 10 (2) (2010)
Matthew Dobson, Mitchell Luskin, Christoph Ortner
Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation. Multiscale Model. Simul. 8 (3) (2010)
Siobhan Burke, Christoph Ortner, Endre Süli
An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture. SIAM J. Numer. Anal. 48 (3) (2010)
Christoph Ortner
A Posteriori Existence in Numerical Computations. SIAM J. Numer. Anal. 47 (4) (2009)
Mitchell Luskin, Christoph Ortner
An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method. SIAM J. Numer. Anal. 47 (4) (2009)
Christoph Ortner, Endre Süli
Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems. SIAM J. Numer. Anal. 45 (4) (2007)
Christoph Ortner
Gradient Flows as a Selection Procedure for Equilibria of Nonconvex Energies. SIAM J. Math. Anal. 38 (4) (2006)