• Guba, O., Lorenz, J.: Continuous Spectra and Numerical Eigenvalues. , Math. Comp. Modelling , 54 , (2011), pp. 2616-2622.
• Qiu, Y., Lorenz, J.: A nonlinear Black--Scholes equation. International Journal of Business Performance and Supply Chain Modelling , 1 , No. 1, (2009), pp. 33-40.
• Beyn, W.--J., Lorenz, J.: Nonlinear stability of rotating patterns. Dynamics of Partial Differential Equations, 5 , No. 4, (2008), pp. 349-400.
• Edoh, K.D., Lorenz, J.: Modelling by a planar map: Lyapunov-type numbers in the presence of spiral points. Math. Comp. Modelling, 48, (2008), pp. 1068-1080.
• Kreiss, G., Kreiss, H.-O., and Lorenz, J.: Stability of viscous shocks on finite intervals. Archive for Rat. Mechanics and Analysis, 187, (2008), pp. 157-183.
• Edoh, K.D., Lorenz, J.: Lyapunov-type numbers for Poincaré maps. Boletim da Sociedade Paranaense de Matemática (BSPM), 24, (2006), pp. 89-98.
• Lorenz, J.: Review of the book Numerical Solution of Partial Differential Equations by K.W. Morton and D.F. Mayers. In: SIAM Review 48, No. 4 (2006), pp. 807-808.
• Nadiga, B., Taylor, M., and Lorenz, J.: Ocean modelling for climate studies: Eliminating short time-scales in long-term, high-resolution studies of ocean circulation. Math. Comp. Modelling, 44, (2006), pp. 870-886.
• Beyn, W.-J., Lorenz, J.: Stability of viscous profiles: Proofs via dichotomies. Journal of Dynamics and Differential Equations 18, No. 1, pp. 141-195, 2006.
• Kreiss, G., Kreiss, H.-O., and Lorenz, J.: Stability of viscous shocks on finite intervals. In: Proceedings of the Tenth International Conference on Hyperbolic Problems: Theory, Numerics and Applications. Asakura, editor. Yokohama Publishers Inc. (2006).
• Goodrich, J., Hagstrom, T., and Lorenz, J.: Hermite methods for hyperbolic initial-boundary-value problems. Math. Comp. 75, (2006), pp. 595-630.
• Lorenz, J.: Review of the book Difference Schemes with Operator Factors by A.A. Samarskii, P.P. Matus, and P.N. Vabishchevich. In: SIAM Review 46, No. 4 (2004), pp. 752-753.
• Kreiss, H.-O., Lorenz, J.: A priori estimates in terms of the maximum norm for the solutions of the Navier-Stokes equations. J. Diff. Equations, Vol. 203 (2004), pp. 216-231.
• Kreiss, H.-O., Lorenz, J.: Initial-boundary value problems and the Navier-Stokes equations. Classics in Applied Mathematics 47, SIAM, 2004.
• Edoh, K.D., Lorenz, J.: Numerical approximation of rough invariant curves of planar maps. SIAM J. on Scientific Computing, Vol. 25, No. 1 (2003), pp. 213-223.
• Kreiss, H.-O., Hagstrom, T., Lorenz, J., and Zingano, P.: Decay in time of incompressible flows. J. math. fluid mech. 5 (2003), pp. 231-244.
• Hagstrom, T., Lorenz, J.: On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows. Indiana University Math. J. 51 No. 6 (2002), pp. 1339-1387.
• Edoh, K.D., Lorenz, J.: A new algorithm for the computation of invariant curves using arc-length parametrization. In: Proceedings, International Conference on Computing and Information Technologies, World Scientific, 2001.
• Edoh, K.D., Lorenz, J.: Computation of Lypunov-type numbers for invariant curves of planar maps. SIAM J. Scientific Computing, 23 No. 4 (2001), pp. 1113-1134.
• Drumm, C.R., Fan, W.C., Lorence, L., Powell, J., and Lorenz, J.: Experience with unstructured-mesh electron transport code CEPTRE. In: Proceedings American Nuclear Society, Annual Meeting, 2000.
• Drumm, C.R., Fan, W.C., and Lorenz, J.: Even/Odd parity transport with internal voids. In: Proceedings American Nuclear Society, Annual Meeting, 2000.
• Kreiss, H.-O., Lorenz, J.: Resolvent Estimates and Quantification of Nonlinear Stability. Acta Mathematica Sinica, English Series, Vol. 16, No. 1 (2000), pp. 1-20.
• Lorenz, J., Jackett, S., and Wangguo Qin: Self-organized criticality: Analysis and simulation of a 1D sandpile. In: Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, IMA Volumes in Mathematics and its Applications, Vol. 119. E. Doedel and L.S. Tuckerman (eds.), Springer Verlag, New York, 2000.
• Dynamics of Algorithms, The IMA Volumes in Math. and Its Applications, Vol. 118, L. Petzold, R. de la Llave, J. Lorenz (eds.), Springer-Verlag, 2000.
• Drumm, C.R., Lorenz, J.: FE solutions of the even/odd parity form of the linear Boltzmann equation. Mathematical and Computer Modelling 11, No. 2-3 (2000), 55-71.
• Drumm, C.R., Lorenz, J.: Parallel FE Electron-Photon Transport Analysis on a 2-D Unstructured Mesh. In: Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, J.M. Aragonés (ed.), Senda Editorial, Spain, 1999.
• Lorenz, J., Schroll, J.: Hyperbolic systems with relaxation: Characterization of stiff well-posedness and asymptotic expansion. J. Mathematical Analysis and Applications 235 (1999), 497-532.
• Beyn, W.-J., Lorenz, J.: Stability of traveling waves: Dichotomies and eigenvalue conditions on finite intervals. Numer. Funct. Anal. and Optimiz 20, No. 3 & 4 (1999), 201-244.
• Lorenz, J., Schroll, J.: Hyperbolic systems with relaxation: Symmetrizers and entropies. In: Hyperbolic Problems: Theory, Numerics, Applications. Fey, Jeltsch (eds.), pp. 823-832. ISNM Vol. 130, Birkhäuser, Basel, 1999.
• Kreiss, G., Kreiss, H.-O., and Lorenz, J.: On stability of conservation laws. SIAM J. Math. Analysis 30, No. 2 (1999), 401-430.
• Qin, W., Lorenz, J.: Self-Organized Criticality: Simulation Of A 1-D Sandpile Model. In: MHPCC Applications Briefs, 1998. http://www.mhpcc.edu/research/ab98/98ab18.html
• Hagstrom, T., Lorenz, J.: All-time existence of classical solutions for slightly compressible flows. SIAM J. Math. Analysis 29, No. 3 (1998), 652-672.
• Lorenz, J., Schroll, J.: Well-posedness of stiff hyperbolic systems. In: M. Feistauer, K. Kizel, and R. Rannacher (eds.), Matfyzpress, Prague. Numerical Modelling in Continuum Mechanics, Proceedings of the 3rd Summer Conference, Prague, pp. 384-391, 1998.
• Kreiss, H.-O., Lorenz, J.: Stability for time dependent differential equations. Acta Numerica 8 (1998), 203-285.
• Lorenz, J., Schroll, J.: Stiff well-posedness and asymptotic expansion for hyperbolic systems with relaxation. Mittag-Leffler Report, 1997.
• Lorenz, J., Schroll, J.: Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems). Adv. Differential Equations 2 (1997), no. 4, 643-666.
• Dieci, L., Lorenz, J.: Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study. Numer. Algorithms 14 (1997), no.1-3, 79-102.
• Baumert, A., Lorenz, J., and Hagstrom, T.: Boundary conditions at artificial boundaries for singular perturbations. IGPM-Report Nr. 118, RWTH-Aachen, Germany, 1995.
• Dieci, L., Lorenz, J.: Computation of invariant tori by the method of characteristics. SIAM J. Numer. Anal. Vol. 32, No. 5, 1436-1474 (1995).
• Hagstrom, T., Lorenz, J.: All-time existence of smooth solutions to PDEs of mixed type and the invariant subspace of uniform states. Advances in Applied Mathematics 16, 219-257 (1995).
• Lorenz, J., editor, Mathl. Comput. Modelling, Vol. 20, No. 10/11 (1994). Special Issue on Theory and Numerical Methods for Initial-Boundary Value Problems.
• Lorenz, J.: Numerics of attractors and invariant manifolds. In: Chaotic Numerics (P. Kloeden, K. Palmer, eds.), AMS Series on Contemporary Mathematics 172 (1994), pp. 185-202.
• Hagstrom, T., Lorenz, J.: Boundary conditions and the simulation of low Mach number flows. In: Environmental Acoustics, International Conference on Theoretical and Computational Acoustics, Vol. 2. D. Lee, M. H. Schultz (eds.), World Scientific, Singapore, 1994.
• Kreiss, H.-O., Lorenz, J.: On the existence of slow manifolds for problems with different time scales. Phil. Trans. R. Soc. Lond. A, 346, 159-171 (1994).
• Kloeden, P. E., Lorenz, J.: Lyapunov functions and the approximation of attractors. In: Nonlinear Dynamics: Attractor Approximation and Global Behaviour, pp. 93-98. N. Koksch, V. Reitmann, T. Riedrich (Editors), Technische Universität Dresden, 1993.
• Hagstrom, T., Lorenz, J.: Boundary conditions for models of slightly compressible flow. In: Applications of Advanced Computational Methods for Boundary and Interior Layers. J.J.H. Miller (editor), Boole Press, Dublin (1993).
• Kreiss, H.-O., Lorenz, J.: Manifolds of slow solutions for highly oscillatory problems. Indiana University Math. J. 42, 1169-1191 (1993).
• Lorenz, J.: Computation of invariant manifolds. In: Numerical Analysis 1991, pp. 118-127. D. F. Griffiths, G. A. Watson (editors), Longman Scientific & Technical, Harlow, Essex, UK, 1992.
• Morlet, A. C., Lorenz, J.: Numerical solution of a functional equation on a circle. SIAM J. Numer. Anal. 29, 1741-1768 (1992).
• Dieci, L., Lorenz, J.: Block M-matrices and computation of invariant tori. SIAM J. Sci. Stat. Comput. 13, 885-903 (1992).
• Van de Velde, E., Lorenz, J.: Adaptive data distribution for concurrent continuation. Numer. Math. 62, 269-294 (1992).
• Van de Velde, E., Lorenz, J.: Applications of adaptive data distributions. In: The Proceedings of the Fifth Distributed Memory Computing Conference, pp. 249-253. IEEE Computer Society, Los Alamitos (1991).
• Dieci, L., Lorenz, J., Russell, R.: Numerical calculation of invariant tori. SIAM J. Sci. Stat. Comput. 12, 607-647 (1991).
• Kreiss, H.-O., Lorenz, J., Naughton, M.: Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations. Advances in Applied Mathematics 12, 187-214 (1991).
• Kloeden, P.E., Lorenz, J.: A note on multistep methods and attracting sets of dynamical systems. Numer. Math. 56, 667-673 (1990).
• Lorenz, J., Van de Velde, E.: Concurrent computations of invariant manifolds. In: The Proceedings of the Fourth Conference on Hypercubes, Concurrent Computers, and Applications, pp. 1315-1320. Golden Gate Enterprises, Los Altos (1990).
• Kreiss, H.-O., Lorenz, J.: Initial-boundary value problems and the Navier-Stokes equations. Vol. 136, Pure and Applied Mathematics, Academic Press, New York (1989).
• Franklin, J., Lorenz, J.: On the scaling of multidimensional matrices. Linear Algebra and Appl. 114/115, 717-735 (1989).
• Kloeden, P.E., Lorenz, J.: Lyapunov stability and attractors under discretization. In: Differential Equations, C. M. Dafermos, G. Ladas, G. Papanicolaou (eds). Marcel Dekker, New York (1989).
• Dieci, L., Lorenz, J., Russell, R.: Decoupling of dynamical systems using boundary value techniques. Technical report, Applied Mathematics, Simon Fraser University (1988).
• Beyn, W.-J., Lorenz, J.: Center manifolds of dynamical systems under discretization. Numer. Funct. Anal. and Optimiz. 9, 381-414 (1987).
• Brown, D.L., Lorenz, J.: A high-order method for stiff boundary-value problems with turning points. SIAM J. Sci. Stat. Comput. 8, 790-805 (1987).
• Lorenz, J., Sanders, R.: On the rate of convergence of viscosity solutions for boundary value problems. SIAM J. Math. Anal. 18, 306-320 (1987).
• Kloeden, P.E., Lorenz, J.: Stable attracting sets in dynamical systems and in their one step discretizations. SIAM J. Numer. Anal. 23, 986-995 (1986).
• Lorenz, J.: Convergence of upwind schemes for a stationary shock. Math. Comp. 46, 45-57 (1986).
• Lorenz, J., Sanders, R.: Second order nonlinear singular perturbation problems with boundary conditions of mixed type. SIAM J. Math. Anal. 17, 580-594 (1986).
• Lorenz, J.: Analysis of difference schemes for a stationary shock. SIAM J. Numer. Anal. 21, 1038-1053 (1984).
• Lorenz, J.: Study of a numerical method of a shock problem. ZAMM 64, T298-T299 (1984).
• Lorenz, J.: Numerical solution of a singular perturbation problem with turning points. In: Equadiff 82, H.W. Knobloch, K. Schmitt (eds.), Lecture Notes in Math. 1017, Springer (1983).
• Lorenz, J.: Stability and monotonicity properties of stiff quasi-linear boundary problems. Review of Research, Faculty of Science, Math. Series 12, University Novi Sad, 151-175 (1982).
• Lorenz, J.: Iterative solution of nonlinear difference equations for shock problems. In: Introduction to Computational and Asymptotic Methods for Boundary and Interior Layers. Miller (ed.), Boole Press Limited, Dublin (1982).
• Lorenz, J.: Discretization of conservation laws and numerical dissipation. In: Introduction to Computational and Asymptotic Methods for Boundary and Interior Layers. Miller (ed.), Boole Press Limited, Dublin (1982).
• Lorenz, J.: An elementary introduction to and analytical properties of some shock problems. In: Introduction to Computational and Asymptotic Methods for Boundary and Interior Layers. Miller (ed.), Boole Press Limited, Dublin (1982).
• Lorenz, J.: Nonlinear boundary value problems with turning points and properties of difference schemes. In: de Jager, Eckhaus (eds.), Theory and Applications of Singular Perturbations, 150-169. Lecture Notes in Math. 942, Springer (1982).
• Beyn, W.-J., Lorenz, J.: Spurious solutions for discrete superlinear boundary value problems. Computing 28, 43-51 (1982).
• Lorenz, J.: Nonlinear singular perturbation problems and the Engquist-Osher difference scheme. Mathematisch Institut, Katholieke Universiteit Nijmegen, Report 8115 (1981).
• Lorenz, J.: Resonance in equations with a diagonal field. Linear Algebra and Appl. 38, 103-107 (1981).
• Lorenz, J.: Exponentially fitted difference schemes for singular perturbation problems. ZAMM 61, T293-T294 (1981).
• Lorenz, J.: Stability and consistency analysis of difference methods for singular perturbation problems. In: Axelsson, Frank, van der Sluis (eds.), Analytical and Numerical Approaches to Asymptotic Problems in Analysis, 141-156. North-Holland, Amsterdam (1981).
• Lorenz, J.: Zur Theorie und Numerik von Differenzenverfahren für singuläre Störungen. Habilitationsschrift, Universität Konstanz (1980).
• Bohl, E., Lorenz, J.: Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems. Aequ. Math. 19, 1-36 (1979).
• Lorenz, J., Mackens, W.: Toeplitz matrices with totally nonnegative inverses. Linear Algebra and Appl. 24, 133-141 (1979).
• Lorenz, J.: Zur numerischen Lösung steifer Randwertaufgaben. ZAMM 59 (1979), pp. T65-T66.
• Lorenz, J.: Combinations of initial and boundary value methods for a class of singular perturbation problems. In: Hemker, Miller (eds.), Numerical Analysis of Singular Perturbation Problems, 295-315. Academic Press, London, New York, San Francisco (1979).
• Griffiths, D.F., Lorenz, J.: An analysis of the Petrov-Galerkin finite element method. Comput. Methods Appl. Mech. Engrg. 14 (1978), pp. 39-64.
• Lorenz, J.: Die Konvergenzordnung bei Diskretisierungen mit Formeln höherer Genauigkeit. ZAMM 57 (1977), pp. T288-T289.
• Lorenz, J.: Zur Inversmonotonie diskreter Probleme. Numer. Math. 27 (1977), pp. 227-238.
• Beyn, W.-J., Lorenz, J.: On convergence of finite element methods for non-coercive problems. Department of Math. and Statistics, Calgary, Research paper 330 (1976).
• Lorenz, J.: Die Inversmonotonie von Matrizen und ihre Anwendung beim Stabilitätsnachweis von Differenzenverfahren. Dissertation, Universität Münster (1975).
• Bohl, E., Beyn, W.-J., Lorenz, J.: Zur Anwendung der Theorie über den Spektralradius linearer, streng-monotoner Operatoren. ISNM 24, Birkhäuserverlag, Basel, Stuttgart, 23-31 (1974).

lorenz@math.unm.edu
Last updated: July 2008