Christoph Ortner

According to our database, Christoph Ortner authored at least 67 papers between 2006 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion.

Dexuan Zhou, Huajie Chen, Cheuk Hin Ho, Christoph Ortner

SIAM J. Sci. Comput., February, 2024

Stability of the minimum energy path.

Xuanyu Liu, Huajie Chen, Christoph Ortner

Numerische Mathematik, February, 2024

Surrogate models for vibrational entropy based on a spatial decomposition.

Tina Torabi, Yangshuai Wang, Christoph Ortner

CoRR, 2024

Atomic Cluster Expansion without Self-Interaction.

Cheuk Hin Ho, Timon S. Gutleb, Christoph Ortner

CoRR, 2024

2023

Elastic Far-Field Decay from Dislocations in Multilattices.

Derek Olson, Christoph Ortner, Yangshuai Wang, Lei Zhang

Multiscale Model. Simul., December, 2023

A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials.

Christoph Ortner, Yangshuai Wang

Multiscale Model. Simul., September, 2023

Polynomial approximation of symmetric functions.

Markus Bachmayr, Geneviève Dusson, Christoph Ortner, Jack Thomas

Math. Comput., June, 2023

A Theoretical Case Study of the Generalisation of Machine-learned Potentials.

Yangshuai Wang, Shashwat Patel, Christoph Ortner

CoRR, 2023

Equivariant Matrix Function Neural Networks.

Ilyes Batatia, Lars L. Schaaf, Huajie Chen, Gábor Csányi, Christoph Ortner, Felix A. Faber

CoRR, 2023

Retrieval of Boost Invariant Symbolic Observables via Feature Importance.

Jose M. Munoz, Ilyes Batatia, Christoph Ortner, Francesco Romeo

CoRR, 2023

A General Framework for Equivariant Neural Networks on Reductive Lie Groups.

Ilyes Batatia, Mario Geiger, Jose M. Munoz, Tess E. Smidt, Lior Silberman, Christoph Ortner

Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

2022

QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models.

Huajie Chen, Christoph Ortner, Yangshuai Wang

Multiscale Model. Simul., December, 2022

Boost invariant polynomials for efficient jet tagging.

Jose M. Munoz, Ilyes Batatia, Christoph Ortner

Mach. Learn. Sci. Technol., December, 2022

Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap.

Anna Kh. Balci, Christoph Ortner, Johannes Storn

Numerische Mathematik, 2022

Atomic cluster expansion: Completeness, efficiency and stability.

Geneviève Dusson, Markus Bachmayr, Gábor Csányi, Ralf Drautz, Simon Etter, Cas van der Oord, Christoph Ortner

J. Comput. Phys., 2022

Higher Order Far-Field Boundary Conditions for Crystalline Defects.

Julian Braun, Christoph Ortner, Yangshuai Wang, Lei Zhang

CoRR, 2022

A Posteriori Error Estimate and Adaptivity for QM/MM Models of Crystalline Defects.

Yangshuai Wang, James R. Kermode, Christoph Ortner, Lei Zhang

CoRR, 2022

Tensor-reduced atomic density representations.

James P. Darby, Dávid Péter Kovács, Ilyes Batatia, Miguel A. Caro, Gus L. W. Hart, Christoph Ortner, Gábor Csányi

CoRR, 2022

A framework for a generalisation analysis of machine-learned interatomic potentials.

Christoph Ortner, Yangshuai Wang

CoRR, 2022

BIP: Boost Invariant Polynomials for Efficient Jet Tagging.

Jose M. Munoz, Ilyes Batatia, Christoph Ortner

CoRR, 2022

The Design Space of E(3)-Equivariant Atom-Centered Interatomic Potentials.

Ilyes Batatia, Simon L. Batzner, Dávid Péter Kovács, Albert Musaelian, Gregor N. C. Simm, Ralf Drautz, Christoph Ortner, Boris Kozinsky, Gábor Csányi

CoRR, 2022

Convergence of the Discrete Minimum Energy Path.

Xuanyu Liu, Huajie Chen, Christoph Ortner

CoRR, 2022

Optimal Evaluation of Symmetry-Adapted n-Correlations Via Recursive Contraction of Sparse Symmetric Tensors.

Illia Kaliuzhnyi, Christoph Ortner

CoRR, 2022

MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields.

Ilyes Batatia, Dávid Péter Kovács, Gregor N. C. Simm, Christoph Ortner, Gábor Csányi

Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

2021

A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods.

Yangshuai Wang, Huajie Chen, Mingjie Liao, Christoph Ortner, Hao Wang, Lei Zhang

SIAM J. Sci. Comput., 2021

Atomic permutationally invariant polynomials for fitting molecular force fields.

Alice E. A. Allen, Geneviève Dusson, Christoph Ortner, Gábor Csányi

Mach. Learn. Sci. Technol., 2021

Polynomial Approximation of Symmetric Functions.

Markus Bachmayr, Geneviève Dusson, Christoph Ortner

CoRR, 2021

QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned Interatomic Potentials.

Huajie Chen, Christoph Ortner, Yangshuai Wang

CoRR, 2021

2020

Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect.

Julian Braun, Christoph Ortner

SIAM J. Numer. Anal., 2020

Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate Bilayers.

Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner

Multiscale Model. Simul., 2020

Regularised atomic body-ordered permutation-invariant polynomials for the construction of interatomic potentials.

Cas van der Oord, Geneviève Dusson, Gábor Csányi, Christoph Ortner

Mach. Learn. Sci. Technol., 2020

2019

The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores.

Julian Braun, Maciej Buze, Christoph Ortner

SIAM J. Math. Anal., 2019

Approximation of Potential Energy Surfaces with Spherical Harmonics.

Markus Bachmayr, Gábor Csányi, Geneviève Dusson, Simon Etter, Cas van der Oord, Christoph Ortner

CoRR, 2019

Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers.

Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner

CoRR, 2019

2018

Force-based atomistic/continuum blending for multilattices.

Derek Olson, Xingjie Li, Christoph Ortner, Brian Van Koten

Numerische Mathematik, 2018

Incommensurate Heterostructures in Momentum Space.

Daniel Massatt, Stephen Carr, Mitchell Luskin, Christoph Ortner

Multiscale Model. Simul., 2018

2017

Convergence and Cycling in Walker-type Saddle Search Algorithms.

Antoine Levitt, Christoph Ortner

SIAM J. Numer. Anal., 2017

Electronic Density of States for Incommensurate Layers.

Daniel Massatt, Mitchell Luskin, Christoph Ortner

Multiscale Model. Simul., 2017

QM/MM Methods for Crystalline Defects. Part 2: Consistent Energy and Force-Mixing.

Huajie Chen, Christoph Ortner

Multiscale Model. Simul., 2017

Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D.

Andrew Binder, Mitchell Luskin, Christoph Ortner

Multiscale Model. Simul., 2017

2016

Atomistic/Continuum Blending with Ghost Force Correction.

Christoph Ortner, Lei Zhang

SIAM J. Sci. Comput., 2016

Analysis of blended atomistic/continuum hybrid methods.

Xingjie Helen Li, Christoph Ortner, Alexander V. Shapeev, Brian Van Koten

Numerische Mathematik, 2016

A dimer-type saddle search algorithm with preconditioning and linesearch.

Nicholas I. M. Gould, Christoph Ortner, D. Packwood

Math. Comput., 2016

QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model.

Huajie Chen, Christoph Ortner

Multiscale Model. Simul., 2016

2015

Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model.

Thomas Hudson, Christoph Ortner

SIAM J. Math. Anal., 2015

2014

An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows.

Alexander Mielke, Christoph Ortner, Yasemin Sengül

SIAM J. Math. Anal., 2014

(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods.

Christoph Ortner, Alexander V. Shapeev, Lei Zhang

Multiscale Model. Simul., 2014

2013

Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice.

Christoph Ortner, Alexander V. Shapeev

Math. Comput., 2013

Atomistic-to-Continuum Coupling Approximation of a One-Dimensional Toy Model for Density Functional Theory.

B. Langwallner, Christoph Ortner, Endre Süli

Multiscale Model. Simul., 2013

Symmetries of 2-Lattices and Second Order Accuracy of the Cauchy-Born Model.

Brian Van Koten, Christoph Ortner

Multiscale Model. Simul., 2013

Atomistic-to-continuum coupling.

Mitchell Luskin, Christoph Ortner

Acta Numer., 2013

2012

Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem.

Christoph Ortner, Lei Zhang

SIAM J. Numer. Anal., 2012

Positive Definiteness of the Blended Force-Based Quasicontinuum Method.

Xingjie Helen Li, Mitchell Luskin, Christoph Ortner

Multiscale Model. Simul., 2012

The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain.

Matthew Dobson, Christoph Ortner, Alexander V. Shapeev

Multiscale Model. Simul., 2012

2011

On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems.

Christoph Ortner, Dirk Praetorius

SIAM J. Numer. Anal., 2011

Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes.

Sören Bartels, Rüdiger Müller, Christoph Ortner

SIAM J. Numer. Anal., 2011

A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state.

Christoph Ortner, Winnifried Wollner

Numerische Mathematik, 2011

A priori error analysis of two force-based atomistic/continuum models of a periodic chain.

Charalambos G. Makridakis, Christoph Ortner, Endre Süli

Numerische Mathematik, 2011

A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D.

Christoph Ortner

Math. Comput., 2011

2010

An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture.

Siobhan Burke, Christoph Ortner, Endre Süli

SIAM J. Numer. Anal., 2010

Convergence of simple adaptive Galerkin schemes based on <i>h</i> - <i>h</i>/2 error estimators.

Samuel Ferraz-Leite, Christoph Ortner, Dirk Praetorius

Numerische Mathematik, 2010

Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation.

Matthew Dobson, Mitchell Luskin, Christoph Ortner

Multiscale Model. Simul., 2010

Analysis of a Class of Penalty Methods for Computing Singular Minimizers.

Carsten Carstensen, Christoph Ortner

Comput. Methods Appl. Math., 2010

2009

A Posteriori Existence in Numerical Computations.

Christoph Ortner

SIAM J. Numer. Anal., 2009

An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method.

Mitchell Luskin, Christoph Ortner

SIAM J. Numer. Anal., 2009

2007

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems.

Christoph Ortner, Endre Süli

SIAM J. Numer. Anal., 2007

2006

Gradient Flows as a Selection Procedure for Equilibria of Nonconvex Energies.

Christoph Ortner

SIAM J. Math. Anal., 2006