Edit Profile (opens in new tab) Koch, Othmar Compute Distance To: Compute Author ID: koch.othmar Published as: Koch, Othmar; Koch, O. External Links: MGP Documents Indexed: 70 Publications since 2000 Reviewing Activity: 45 Reviews Co-Authors: 44 Co-Authors with 65 Joint Publications 615 Co-Co-Authors all top 5 Co-Authors 5 single-authored 30 Auzinger, Winfried 29 Weinmüller, Ewa B. 16 Hofstätter, Harald 11 Thalhammer, Mechthild 6 Kitzhofer, Georg 5 Budd, Christopher John 4 Lubich, Christian 3 Quell, Michael 2 Amodio, Pierluigi 2 Happenhofer, Natalie 2 Herfort, Wolfgang N. 2 Higueras, Inmaculada 2 Kassebacher, Thomas 2 Kofler, Peter 2 Kupka, Friedrich 2 Lima, Paulo 2 März, Roswitha 2 Neuhauser, Christof 2 Praetorius, Dirk 2 Pulverer, Gernot 2 Scrinzi, Armin 2 Settanni, Giuseppina 2 Simon, Christa 1 Bagherzadeh, Amir Saboor 1 Blaha, Peter 1 Cash, Jeff R. 1 Dick, Alexander 1 Ede, Christopher 1 Grosz, Alexander 1 Hammerling, Robert 1 Jawecki, Tobias 1 Jordan, Gerald 1 Karner, Ernst 1 Ketcheson, David I. 1 Kneisl, Günter 1 Kreuzer, Wolfgang 1 Kropielnicka, Karolina 1 Laskowsky, Rolf 1 Moore, Gerald 1 Rachůnková, Irena 1 Rottschäfer, Vivi 1 Schwarz, Karlheinz 1 Singh, Pranav 1 Taghizadeh, Leila all top 5 Serials 8 Numerical Algorithms 6 Journal of Computational and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Applied Mathematics and Computation 4 BIT 3 Mathematics of Computation 3 Numerische Mathematik 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 2 Journal of Computational Physics 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 Opuscula Mathematica 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Calcolo 1 Computing 1 Physica D 1 Analysis (München) 1 WSEAS Transactions on Mathematics 1 International Journal of Applied and Computational Mathematics all top 5 Fields 62 Numerical analysis (65-XX) 26 Ordinary differential equations (34-XX) 20 Partial differential equations (35-XX) 8 Quantum theory (81-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 61 Publications have been cited 638 times in 325 Documents Cited by ▼ Year ▼ Dynamical low-rank approximation. Zbl 1145.65031Koch, Othmar; Lubich, Christian 75 2008 Dynamical tensor approximation. Zbl 1214.15017Koch, Othmar; Lubich, Christian 44 2010 Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1178.76280Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E. 38 2007 A collocation code for singular boundary value problems in ordinary differential equations. Zbl 1030.65089Auzinger, Winfried; Kneisl, Günter; Koch, Othmar; Weinmüller, Ewa 29 2003 The new MATLAB code bvpsuite for the solution of singular implicit BVPs. Zbl 1432.65100Kitzhofer, G.; Koch, O.; Pulverer, G.; Simon, Ch.; Weinmüller, E. B. 27 2010 Asymptotically correct error estimation for collocation methods applied to singular boundary value problems. Zbl 1076.65073Koch, Othmar 23 2005 Iterated defect correction for the solution of singular initial value problems. Zbl 0989.65068Koch, Othmar; Weinmüller, Ewa B. 21 2001 Efficient collocation schemes for singular boundary value problems. Zbl 1021.65038Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 21 2002 Analysis of a new error estimate for collocation methods applied to singular boundary value problems. Zbl 1087.65082Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 20 2005 From nonlinear PDEs to singular ODEs. Zbl 1089.65104Budd, Chris; Koch, Othmar; Weinmüller, Ewa 17 2006 Optimized strong stability preserving IMEX Runge-Kutta methods. Zbl 1294.65076Higueras, Inmaculada; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich 17 2014 Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind. Zbl 1029.34002Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B. 16 2001 Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. Zbl 1241.85010Kupka, Friedrich; Happenhofer, Natalie; Higueras, Inmaculada; Koch, Othmar 14 2012 On a singular boundary value problem arising in the theory of shallow membrane caps. Zbl 1118.34013Rachunková, Irena; Koch, Othmar; Pulverer, Gernot; Weinmüller, Ewa 14 2007 Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics. Zbl 1135.81380Koch, Othmar; Lubich, Christian 14 2007 Analytical and numerical treatment of a singular initial value problem in avalanche modeling. Zbl 1089.34004Koch, Othmar; Weinmüller, Ewa 14 2004 Computation of self-similar solution profiles for the nonlinear Schrödinger equation. Zbl 1122.65066Budd, C.; Koch, O.; Weinmüller, E. 12 2006 The convergence of shooting methods for singular boundary value problems. Zbl 1013.65081Koch, Othmar; Weinmüller, Ewa B. 12 2003 Numerical solution of singular ODE eigenvalue problems in electronic structure computations. Zbl 1216.65096Hammerling, Robert; Koch, Othmar; Simon, Christa; Weinmüller, Ewa B. 12 2010 Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics. Zbl 1311.65053Koch, Othmar; Neuhauser, Christof; Thalhammer, Mechthild 11 2013 Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations. Zbl 1255.65102Koch, O.; Neuhauser, Ch.; Thalhammer, M. 11 2013 Efficient mesh selection for collocation methods applied to singular BVPs. Zbl 1069.65093Auzinger, W.; Koch, O.; Weinmüller, E. 11 2005 Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation. Zbl 1162.65372Kitzhofer, Georg; Koch, Othmar; Weinmüller, Ewa B. 10 2009 The implicit Euler method for the numerical solution of singular initial value problems. Zbl 0953.65052Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B. 10 2000 Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems. Zbl 1291.65282Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild 10 2014 Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case. Zbl 1238.65091Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild 8 2012 Numerical solution of singular two point BVPs. Zbl 1191.65099Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E. 8 2009 Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes. Zbl 1359.65080Auzinger, Winfried; Hofstätter, Harald; Ketcheson, David; Koch, Othmar 7 2017 Variational-splitting time integration of the multi-configuration time-dependent Hartree-Fock equations in electron dynamics. Zbl 1218.81040Koch, Othmar; Lubich, Christian 7 2011 Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Zbl 1338.65214Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild 7 2016 Collocation methods for index 1 DAEs with a singularity of the first kind. Zbl 1196.65134Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa 7 2010 Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. Zbl 1305.65197Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild 7 2014 Defect-based local error estimators for splitting methods, with application to Schrödinger equations. III: The nonlinear case. Zbl 1294.35115Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild 7 2015 Collocation methods for boundary value problems with an essential singularity. Zbl 1151.65336Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 6 2004 Defect-based local error estimators for high-order splitting methods involving three linear operators. Zbl 1325.65131Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild 6 2015 Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations. Zbl 1132.65070Auzinger, Winfried; Karner, Ernst; Koch, Othmar; Weinmüller, Ewa 5 2006 New a posteriori error estimates for singular boundary value problems. Zbl 1082.65079Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa 5 2005 Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations. Zbl 1311.65104Auzinger, Winfried; Koch, Othmar; Bagherzadeh, Amir Saboor 5 2014 Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions. Zbl 1432.65053Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar 4 2020 Erratum: Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1179.76062Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E. 4 2007 Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. Zbl 1088.65092Koch, Othmar; Kreuzer, Wolfgang; Scrinzi, Armin 4 2006 Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E. 4 2014 Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. Zbl 1183.82003Blaha, P.; Hofstätter, H.; Koch, O.; Laskowski, R.; Schwarz, K. 4 2010 An improved local error estimator for symmetric time-stepping schemes. Zbl 1404.65127Auzinger, Winfried; Koch, Othmar 3 2018 New variants of defect correction for boundary value problems in ordinary differential equations. Zbl 1040.65064Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 3 2003 Numerical treatment of singular BVPs: the new Matlab code bvpsuite. Zbl 1182.65122Kitzhofer, G.; Koch, O.; Weinmüller, E. 3 2009 Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Zbl 1365.65212Auzinger, Winfried; Koch, Othmar; Quell, Michael 3 2017 Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. Zbl 1262.65092Dick, Alexander; Koch, Othmar; März, Roswitha; Weinmüller, Ewa 2 2013 Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four. Zbl 1408.65042Hofstätter, Harald; Koch, Othmar 2 2019 Convergence of a strang splitting finite element discretization for the Schrödinger-Poisson equation. Zbl 1379.65071Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild 2 2017 Setup of order conditions for splitting methods. Zbl 1453.65115Auzinger, Winfried; Herfort, Wolfgang; Hofstätter, Harald; Koch, Othmar 2 2016 Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Zbl 1415.65151Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar 1 2019 Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation. Zbl 1401.65113Budd, Chris; Koch, Othmar; Taghizadeh, Leila; Weinmüller, Ewa 1 2018 Convergence of exponential Lawson-multistep methods for the MCTDHF equations. Zbl 1431.65148Koch, Othmar 1 2019 Efficient computation of the MCTDHF approximation to the time-dependent Schrödinger equation. Zbl 1131.65081Koch, Othmar 1 2006 Numerical solution of the time-dependent Schrödinger equation in ultrafast laser dynamics. Zbl 1205.65255Koch, Othmar 1 2004 A posteriori error estimation for Magnus-type integrators. Zbl 1416.65188Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Quell, Michael; Thalhammer, Mechthild 1 2019 Non-existence of generalized splitting methods with positive coefficients of order higher than four. Zbl 07111512Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar 1 2019 An approximate eigensolver for self-consistent field calculations. Zbl 1317.65098Hofstätter, Harald; Koch, Othmar 1 2014 Analysis of a defect correction method for geometric integrators. Zbl 1099.65058Hofstätter, Harald; Koch, Othmar 1 2006 An algorithm for computing coefficients of words in expressions involving exponentials and its application to the construction of exponential integrators. Zbl 1442.65121Hofstätter, Harald; Auzinger, Winfried; Koch, Othmar 1 2019 Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions. Zbl 1432.65053Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar 4 2020 Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four. Zbl 1408.65042Hofstätter, Harald; Koch, Othmar 2 2019 Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Zbl 1415.65151Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar 1 2019 Convergence of exponential Lawson-multistep methods for the MCTDHF equations. Zbl 1431.65148Koch, Othmar 1 2019 A posteriori error estimation for Magnus-type integrators. Zbl 1416.65188Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Quell, Michael; Thalhammer, Mechthild 1 2019 Non-existence of generalized splitting methods with positive coefficients of order higher than four. Zbl 07111512Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar 1 2019 An algorithm for computing coefficients of words in expressions involving exponentials and its application to the construction of exponential integrators. Zbl 1442.65121Hofstätter, Harald; Auzinger, Winfried; Koch, Othmar 1 2019 An improved local error estimator for symmetric time-stepping schemes. Zbl 1404.65127Auzinger, Winfried; Koch, Othmar 3 2018 Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation. Zbl 1401.65113Budd, Chris; Koch, Othmar; Taghizadeh, Leila; Weinmüller, Ewa 1 2018 Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes. Zbl 1359.65080Auzinger, Winfried; Hofstätter, Harald; Ketcheson, David; Koch, Othmar 7 2017 Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Zbl 1365.65212Auzinger, Winfried; Koch, Othmar; Quell, Michael 3 2017 Convergence of a strang splitting finite element discretization for the Schrödinger-Poisson equation. Zbl 1379.65071Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild 2 2017 Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Zbl 1338.65214Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild 7 2016 Setup of order conditions for splitting methods. Zbl 1453.65115Auzinger, Winfried; Herfort, Wolfgang; Hofstätter, Harald; Koch, Othmar 2 2016 Defect-based local error estimators for splitting methods, with application to Schrödinger equations. III: The nonlinear case. Zbl 1294.35115Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild 7 2015 Defect-based local error estimators for high-order splitting methods involving three linear operators. Zbl 1325.65131Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild 6 2015 Optimized strong stability preserving IMEX Runge-Kutta methods. Zbl 1294.65076Higueras, Inmaculada; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich 17 2014 Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems. Zbl 1291.65282Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild 10 2014 Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. Zbl 1305.65197Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild 7 2014 Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations. Zbl 1311.65104Auzinger, Winfried; Koch, Othmar; Bagherzadeh, Amir Saboor 5 2014 Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E. 4 2014 An approximate eigensolver for self-consistent field calculations. Zbl 1317.65098Hofstätter, Harald; Koch, Othmar 1 2014 Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics. Zbl 1311.65053Koch, Othmar; Neuhauser, Christof; Thalhammer, Mechthild 11 2013 Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations. Zbl 1255.65102Koch, O.; Neuhauser, Ch.; Thalhammer, M. 11 2013 Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. Zbl 1262.65092Dick, Alexander; Koch, Othmar; März, Roswitha; Weinmüller, Ewa 2 2013 Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. Zbl 1241.85010Kupka, Friedrich; Happenhofer, Natalie; Higueras, Inmaculada; Koch, Othmar 14 2012 Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case. Zbl 1238.65091Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild 8 2012 Variational-splitting time integration of the multi-configuration time-dependent Hartree-Fock equations in electron dynamics. Zbl 1218.81040Koch, Othmar; Lubich, Christian 7 2011 Dynamical tensor approximation. Zbl 1214.15017Koch, Othmar; Lubich, Christian 44 2010 The new MATLAB code bvpsuite for the solution of singular implicit BVPs. Zbl 1432.65100Kitzhofer, G.; Koch, O.; Pulverer, G.; Simon, Ch.; Weinmüller, E. B. 27 2010 Numerical solution of singular ODE eigenvalue problems in electronic structure computations. Zbl 1216.65096Hammerling, Robert; Koch, Othmar; Simon, Christa; Weinmüller, Ewa B. 12 2010 Collocation methods for index 1 DAEs with a singularity of the first kind. Zbl 1196.65134Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa 7 2010 Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. Zbl 1183.82003Blaha, P.; Hofstätter, H.; Koch, O.; Laskowski, R.; Schwarz, K. 4 2010 Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation. Zbl 1162.65372Kitzhofer, Georg; Koch, Othmar; Weinmüller, Ewa B. 10 2009 Numerical solution of singular two point BVPs. Zbl 1191.65099Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E. 8 2009 Numerical treatment of singular BVPs: the new Matlab code bvpsuite. Zbl 1182.65122Kitzhofer, G.; Koch, O.; Weinmüller, E. 3 2009 Dynamical low-rank approximation. Zbl 1145.65031Koch, Othmar; Lubich, Christian 75 2008 Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1178.76280Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E. 38 2007 On a singular boundary value problem arising in the theory of shallow membrane caps. Zbl 1118.34013Rachunková, Irena; Koch, Othmar; Pulverer, Gernot; Weinmüller, Ewa 14 2007 Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics. Zbl 1135.81380Koch, Othmar; Lubich, Christian 14 2007 Erratum: Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1179.76062Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E. 4 2007 From nonlinear PDEs to singular ODEs. Zbl 1089.65104Budd, Chris; Koch, Othmar; Weinmüller, Ewa 17 2006 Computation of self-similar solution profiles for the nonlinear Schrödinger equation. Zbl 1122.65066Budd, C.; Koch, O.; Weinmüller, E. 12 2006 Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations. Zbl 1132.65070Auzinger, Winfried; Karner, Ernst; Koch, Othmar; Weinmüller, Ewa 5 2006 Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. Zbl 1088.65092Koch, Othmar; Kreuzer, Wolfgang; Scrinzi, Armin 4 2006 Efficient computation of the MCTDHF approximation to the time-dependent Schrödinger equation. Zbl 1131.65081Koch, Othmar 1 2006 Analysis of a defect correction method for geometric integrators. Zbl 1099.65058Hofstätter, Harald; Koch, Othmar 1 2006 Asymptotically correct error estimation for collocation methods applied to singular boundary value problems. Zbl 1076.65073Koch, Othmar 23 2005 Analysis of a new error estimate for collocation methods applied to singular boundary value problems. Zbl 1087.65082Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 20 2005 Efficient mesh selection for collocation methods applied to singular BVPs. Zbl 1069.65093Auzinger, W.; Koch, O.; Weinmüller, E. 11 2005 New a posteriori error estimates for singular boundary value problems. Zbl 1082.65079Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa 5 2005 Analytical and numerical treatment of a singular initial value problem in avalanche modeling. Zbl 1089.34004Koch, Othmar; Weinmüller, Ewa 14 2004 Collocation methods for boundary value problems with an essential singularity. Zbl 1151.65336Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 6 2004 Numerical solution of the time-dependent Schrödinger equation in ultrafast laser dynamics. Zbl 1205.65255Koch, Othmar 1 2004 A collocation code for singular boundary value problems in ordinary differential equations. Zbl 1030.65089Auzinger, Winfried; Kneisl, Günter; Koch, Othmar; Weinmüller, Ewa 29 2003 The convergence of shooting methods for singular boundary value problems. Zbl 1013.65081Koch, Othmar; Weinmüller, Ewa B. 12 2003 New variants of defect correction for boundary value problems in ordinary differential equations. Zbl 1040.65064Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 3 2003 Efficient collocation schemes for singular boundary value problems. Zbl 1021.65038Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa 21 2002 Iterated defect correction for the solution of singular initial value problems. Zbl 0989.65068Koch, Othmar; Weinmüller, Ewa B. 21 2001 Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind. Zbl 1029.34002Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B. 16 2001 The implicit Euler method for the numerical solution of singular initial value problems. Zbl 0953.65052Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B. 10 2000 all cited Publications top 5 cited Publications all top 5 Cited by 464 Authors 40 Weinmüller, Ewa B. 38 Koch, Othmar 27 Rachůnková, Irena 22 Auzinger, Winfried 15 Lubich, Christian 11 Hofstätter, Harald 11 Staněk, Svatoslav 8 Guglielmi, Nicola 8 Rachůnek, Lukáš 8 Si, Zhiyong 7 Einkemmer, Lukas 7 Kressner, Daniel 7 Thalhammer, Mechthild 7 Tomeček, Jan 6 Burkotová, Jana 6 Pulverer, Gernot 6 Uschmajew, André 6 Vandereycken, Bart 5 Amodio, Pierluigi 5 Babaee, Hessam 5 Lima, Pedro Miguel 5 Nobile, Fabio 5 Parvaz, Reza 5 Settanni, Giuseppina 5 Trabelsi, Saber 5 Zarebnia, Mohammad 4 Budd, Christopher John 4 Hackbusch, Wolfgang 4 He, Yinnian 4 Jahnke, Tobias 4 Kacewicz, Bolesław Z. 4 Lermusiaux, Pierre F. J. 4 März, Roswitha 4 Mauser, Norbert Julius 4 Nouy, Anthony 4 Oseledets, Ivan V. 4 Ostermann, Alexander 4 Przybyłowicz, Paweł 4 Schneider, Reinhold 4 Venturi, Daniele 4 Walach, Hanna 3 Bagherzadeh, Amir Saboor 3 Balsara, Dinshaw S. 3 Bardos, Claude Williams 3 Bulatov, Mikhail Valer’yanovich 3 Casas, Fernando 3 Ceruti, Gianluca 3 Dektor, Alec 3 Feppon, Florian 3 Garain, Sudip K. 3 Horst, Ulrich 3 Kieri, Emil 3 Konguetsof, Avrilia 3 Kutniv, Myroslav V. 3 Morgado, Luisa 3 Musharbash, Eleonora 3 Piazzola, Chiara 3 Scalone, Carmela 3 Spiteri, Raymond J. 3 Wang, Yunxia 3 Xiao, Aiguo 3 Zhang, Gengen 2 Absil, Pierre-Antoine 2 Allouche, Hassane 2 An, Dong 2 Bachmayr, Markus 2 Bader, Philipp 2 Blanes, Sergio 2 Carpenter, Mark H. 2 Catto, Isabelle 2 Cen, Zhongdi 2 Cervi, Jessica 2 Conte, Dajana 2 Dimarco, Giacomo 2 Dolgov, Sergey V. 2 Ehrlacher, Virginie 2 Falcó, Antonio 2 Feichtinger, Anna 2 Friess, Marie Billaud 2 Herfort, Wolfgang N. 2 Hesthaven, Jan S. 2 Higueras, Inmaculada 2 Hu, Jingwei 2 Izzo, Giuseppe 2 Jackiewicz, Zdzislaw 2 Jawecki, Tobias 2 Kazashi, Yoshihito 2 Kitzhofer, Georg 2 Kreuzer, Wolfgang 2 Kupka, Friedrich 2 Kurganov, Alexander 2 Lin, Lin 2 Lombardi, Damiano 2 Lu, Jianfeng 2 Mena, Hermann 2 Mikl, Marcel 2 Montecinos, Gino I. 2 Pagliantini, Cecilia 2 Pfurtscheller, Lena-Maria 2 Praetorius, Dirk ...and 364 more Authors all top 5 Cited in 103 Serials 28 Journal of Computational Physics 21 Applied Mathematics and Computation 19 Journal of Computational and Applied Mathematics 19 Numerical Algorithms 16 Applied Numerical Mathematics 14 BIT 14 SIAM Journal on Scientific Computing 10 Numerische Mathematik 10 SIAM Journal on Numerical Analysis 7 SIAM Journal on Matrix Analysis and Applications 7 Boundary Value Problems 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Journal of Scientific Computing 4 Computers & Mathematics with Applications 4 Computer Physics Communications 4 Mathematics of Computation 4 Mathematics and Computers in Simulation 4 Advances in Computational Mathematics 4 Advances in Difference Equations 3 Journal of Complexity 3 Applied Mathematics Letters 3 Computational Optimization and Applications 3 Journal of Difference Equations and Applications 3 Journal of Mathematical Chemistry 3 Foundations of Computational Mathematics 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Physica D 2 Mathematical and Computer Modelling 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics and Computing 2 Central European Journal of Mathematics 2 Acta Numerica 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 Computing 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Economic Dynamics & Control 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Computational Economics 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Finance and Stochastics 1 Mathematics and Mechanics of Solids 1 Soft Computing 1 Data Mining and Knowledge Discovery 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Journal of Cosmology and Astroparticle Physics 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 GAMM-Mitteilungen 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Numerical Algebra, Control and Optimization 1 Journal of Mathematics in Industry 1 Axioms 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Computational Dynamics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation ...and 3 more Serials all top 5 Cited in 37 Fields 250 Numerical analysis (65-XX) 91 Ordinary differential equations (34-XX) 86 Partial differential equations (35-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 35 Fluid mechanics (76-XX) 22 Quantum theory (81-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Probability theory and stochastic processes (60-XX) 8 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Approximations and expansions (41-XX) 6 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Differential geometry (53-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year