Gradient Flows as a Selection Procedure for Equilibria of Nonconvex Energies. - Christoph Ortner (SIAM J. Math. Anal., 2006)

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems. - Christoph Ortner; Endre Süli (SIAM J. Numer. Anal., 2007)

An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method. - Mitchell Luskin; Christoph Ortner (SIAM J. Numer. Anal., 2009)

A Posteriori Existence in Numerical Computations. - Christoph Ortner (SIAM J. Numer. Anal., 2009)

Analysis of a Class of Penalty Methods for Computing Singular Minimizers. - Carsten Carstensen; Christoph Ortner (Comput. Methods Appl. Math., 2010)

Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation. - Matthew Dobson; Mitchell Luskin; Christoph Ortner (Multiscale Model. Simul., 2010)

Convergence of simple adaptive Galerkin schemes based on h - h/2 error estimators. - Samuel Ferraz-Leite; Christoph Ortner; Dirk Praetorius (Numerische Mathematik, 2010)

An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture. - Siobhan Burke; Christoph Ortner; Endre Süli (SIAM J. Numer. Anal., 2010)

A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D. - Christoph Ortner (Math. Comput., 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 error estimates for optimal control problems with pointwise constraints on the gradient of the state. - Christoph Ortner; Winnifried Wollner (Numerische Mathematik, 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)

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)

The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain. - Matthew Dobson; Christoph Ortner; Alexander V. Shapeev (Multiscale Model. Simul., 2012)

Positive Definiteness of the Blended Force-Based Quasicontinuum Method. - Xingjie Helen Li 001; Mitchell Luskin; Christoph Ortner (Multiscale Model. Simul., 2012)

Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem. - Christoph Ortner; Lei Zhang 027 (SIAM J. Numer. Anal., 2012)

Atomistic-to-continuum coupling. - Mitchell Luskin; Christoph Ortner (Acta Numer., 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 Approximation of a One-Dimensional Toy Model for Density Functional Theory. - B. Langwallner; Christoph Ortner; Endre Süli (Multiscale Model. Simul., 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)

(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods. - Christoph Ortner; Alexander V. Shapeev; Lei Zhang 027 (Multiscale Model. Simul., 2014)

An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows. - Alexander Mielke; Christoph Ortner; Yasemin Sengül (SIAM J. Math. Anal., 2014)

Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model. - Thomas Hudson; Christoph Ortner (SIAM J. Math. Anal., 2015)

QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model. - Huajie Chen; Christoph Ortner (Multiscale Model. Simul., 2016)

A dimer-type saddle search algorithm with preconditioning and linesearch. - Nicholas I. M. Gould; Christoph Ortner; D. Packwood (Math. Comput., 2016)

Analysis of blended atomistic/continuum hybrid methods. - Xingjie Helen Li 001; Christoph Ortner; Alexander V. Shapeev; Brian Van Koten (Numerische Mathematik, 2016)

Atomistic/Continuum Blending with Ghost Force Correction. - Christoph Ortner; Lei Zhang 027 (SIAM J. Sci. Comput., 2016)

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)

QM/MM Methods for Crystalline Defects. Part 2: Consistent Energy and Force-Mixing. - Huajie Chen; Christoph Ortner (Multiscale Model. Simul., 2017)

Electronic Density of States for Incommensurate Layers. - Daniel Massatt; Mitchell Luskin; Christoph Ortner (Multiscale Model. Simul., 2017)

Convergence and Cycling in Walker-type Saddle Search Algorithms. - Antoine Levitt; Christoph Ortner (SIAM J. Numer. Anal., 2017)

Incommensurate Heterostructures in Momentum Space. - Daniel Massatt; Stephen Carr; Mitchell Luskin; Christoph Ortner (Multiscale Model. Simul., 2018)

Force-based atomistic/continuum blending for multilattices. - Derek Olson; Xingjie Li 001; Christoph Ortner; Brian Van Koten (Numerische Mathematik, 2018)

Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers. - Simon Etter; Daniel Massatt; Mitchell Luskin; Christoph Ortner (CoRR, 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)

The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores. - Julian Braun; Maciej Buze; Christoph Ortner (SIAM J. Math. Anal., 2019)

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)

Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate Bilayers. - Simon Etter; Daniel Massatt; Mitchell Luskin; Christoph Ortner (Multiscale Model. Simul., 2020)

Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect. - Julian Braun; Christoph Ortner (SIAM J. Numer. Anal., 2020)

QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned Interatomic Potentials. - Huajie Chen; Christoph Ortner; Yangshuai Wang (CoRR, 2021)

Polynomial Approximation of Symmetric Functions. - Markus Bachmayr; Geneviève Dusson; Christoph Ortner (CoRR, 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)

A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods. - Yangshuai Wang; Huajie Chen; Mingjie Liao; Christoph Ortner; Hao Wang 051; Lei Zhang 027 (SIAM J. Sci. Comput., 2021)

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 (NeurIPS, 2022)

Convergence of the Discrete Minimum Energy Path. - Xuanyu Liu; Huajie Chen; 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)

BIP: Boost Invariant Polynomials for Efficient Jet Tagging. - Jose M. Munoz; Ilyes Batatia; Christoph Ortner (CoRR, 2022)

A framework for a generalisation analysis of machine-learned interatomic potentials. - Christoph Ortner; Yangshuai Wang (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 Posteriori Error Estimate and Adaptivity for QM/MM Models of Crystalline Defects. - Yangshuai Wang; James R. Kermode; Christoph Ortner; Lei Zhang 027 (CoRR, 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)

Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. - Anna Kh. Balci; Christoph Ortner; Johannes Storn (Numerische Mathematik, 2022)

Boost invariant polynomials for efficient jet tagging. - Jose M. Munoz; Ilyes Batatia; Christoph Ortner (Mach. Learn. Sci. Technol., 2022)

QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models. - Huajie Chen; Christoph Ortner; Yangshuai Wang (Multiscale Model. Simul., 2022)

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 (NeurIPS, 2023)

Retrieval of Boost Invariant Symbolic Observables via Feature Importance. - Jose M. Munoz; Ilyes Batatia; Christoph Ortner; Francesco Romeo (CoRR, 2023)

Equivariant Matrix Function Neural Networks. - Ilyes Batatia; Lars L. Schaaf; Huajie Chen; Gábor Csányi; Christoph Ortner; Felix A. Faber (CoRR, 2023)

A Theoretical Case Study of the Generalisation of Machine-learned Potentials. - Yangshuai Wang; Shashwat Patel; Christoph Ortner (CoRR, 2023)

Polynomial approximation of symmetric functions. - Markus Bachmayr; Geneviève Dusson; Christoph Ortner; Jack Thomas (Math. Comput., 2023)

A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials. - Christoph Ortner; Yangshuai Wang (Multiscale Model. Simul., 2023)

Elastic Far-Field Decay from Dislocations in Multilattices. - Derek Olson; Christoph Ortner; Yangshuai Wang; Lei Zhang 027 (Multiscale Model. Simul., 2023)

Equivariant Matrix Function Neural Networks. - Ilyes Batatia; Lars L. Schaaf; Gábor Csányi; Christoph Ortner; Felix A. Faber (ICLR, 2024)

Parameterizing Intersecting Surfaces via Invariants. - Timon S. Gutleb; Rhyan Barrett; Julia Westermayr; Christoph Ortner (CoRR, 2024)

Atomic cluster expansion without self-interaction. - Cheuk Hin Ho; Timon S. Gutleb; Christoph Ortner (J. Comput. Phys., 2024)

Stability of the minimum energy path. - Xuanyu Liu; Huajie Chen; Christoph Ortner (Numerische Mathematik, 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., 2024)

Machine learning configuration-dependent friction tensors in Langevin heatbaths. - Matthias Sachs; Wojciech G. Stark; Reinhard Johann Maurer; Christoph Ortner (Mach. Learn. Sci. Technol., 2025)

Surrogate Models for Vibrational Entropy Based on a Spatial Decomposition. - Tina Torabi; Christoph Ortner; Yangshuai Wang (Multiscale Model. Simul., 2025)

The design space of E(3)-equivariant atom-centred interatomic potentials. - Ilyes Batatia; Simon L. Batzner; Dávid Péter Kovács; Albert Musaelian; Gregor N. C. Simm; Ralf Drautz; Christoph Ortner; Boris Kozinsky; Gábor Csányi (Nat. Mac. Intell., 2025)

Higher-Order Far-Field Boundary Conditions for Crystalline Defects. - Julian Braun; Christoph Ortner; Yangshuai Wang; Lei Zhang 027 (SIAM J. Numer. Anal., 2025)

Optimal evaluation of symmetry-adapted n-correlations via recursive contraction of sparse symmetric tensors. - Illia Kaliuzhnyi; Christoph Ortner (J. Num. Math., 2025)