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Journal Publications and Refereed Conference Proceedings:

  1. A. Iserles and R.A. Renaut (Williamson) (1984), Stability and accuracy of semi-discretised finite difference methods, IMA J. Num. Anal 4, 289-307.
  2. R.A. Renaut (Williamson)(1984), Pade approximations in the numerical solution of hyperbolic equations, in Pade Approximation and its Applications, Bad Honeff 1983, H. Werner and H.J. Bunger (eds), Springer Verlag, New York.
  3. J. Petersen and R.A. Renaut (1988), Synthetic 2D-Seismic Wave Propagation using a Hypercube Parallel Computer, Geophysical Transactions of Hungary 34, No. 4, 309-332.
  4. R.A. Renaut and J. Petersen(1988), Evaluation of a Vector Hypercube for Seismic Modelling. Presented at the 3rd Conference on Hypercube Concurrent-Computers and Applications. January 1988, Pasadena. In Conference proceedings, 1187-1192. Also BSC Report 88/8, Bergen Scientific Centre IBM, Bergen, Norway.
  5. R.A. Renaut-Williamson (1989), Semi-discretisations of $u_{tt}=u_{xx}$ and rational approximations to ^2$, SIAM J. Num. Anal. 26, 2, 320-337.
  6. R.A. Renaut-Williamson (1989), Full discretisations of $u_{tt}=u_{xx}$ and rational approximations to $\cosh\mu z$, SIAM J. Num. Anal. 26, 2, 338-347.
  7. R.A. Renaut and J. Petersen (1989),Stability of Wide-Angle Absorbing Boundary Conditions for the Wave Equation, Geophysics, 54, 9, 1153-1163. Also BSC Report 88/12, Bergen, Norway 1988.
  8. R.A. Renaut (1990), Two-step Runge Kutta and Hyperbolic Partial Differential Equations, Math. Comp. 55, 192, 563-579.
  9. R.A. Renaut and M.L. Woo (1990), Parallel Pseudospectral Methods for the Solution of the Wave Equation, Frontiers in Applied Math. Series, Wave Propagation and Inversion, 124-134.
  10. R.A. Renaut and M.L. Woo(1992), Parallel Power-of-Two Fast Fourier Transforms: Ordered and Unordered, Proceedings Edinburgh Workshop on Parallel Computation.
  11. R.A. Renaut (1990), Stability of One-way Wave Equations as Absorbing Boundary Conditions for the Wave Equation, SIAM Frontiers in Applied Math. Series, Wave Propagation and Inversion, 96-107.
  12. Z. Jackiewicz, R. Renaut and A. Feldstein (1991), Implicit 2-step Runge-Kutta Methods, SIAM J. Num. Anal. 28, 4, 1165-1182.
  13. M.L. Woo and R.A. Renaut (1991), Parallel Power-of-Two FFTs on Hypercubes, pdf,Supercomputing '91, 754-763.
  14. R.A. Renaut (1992), Absorbing Boundary Conditions, Difference Operators and Stability, J. Comp. Phys. 102, 236-251.
  15. R.A. Renaut and J.H. Smit (1992), Order Stars and the Maximal Accuracy of Stable Difference Schemes for the Wave Equation, Quaestiones Mathematicae, 15, 3, 307-323.
  16. P. Tirkas, C. Balanis and R.A. Renaut (1993), Higher-Order Absorbing Boundary Conditions in the Finite Difference Time Domain Method, IEEE Trans. on Antennas and Propagation, 40, 10, 1215-1222.
  17. R.A. Renaut(1993),Absorbing Boundary Conditions for Acoustic and Elastic Waves,ps pdf In Numerical Methods for Fluid Dynamics, eds. M.J.Baines and K.W. Morton, 491-498.
  18. M.L. Woo and R.A. Renaut (1994), Parallel Radix-2 and Mixed-Radix (4.2) FFTs of Distance 1 and 2: Unordered Transforms, pdf, Proceedings of the 1994 ACM Symposium on Applied Computing, eds. Deaton, E. , et. al. 504-509.
  19. R. A. Renaut , H. D. Mittelmann and Qing He(1994), Parallel Multisplittings: Overview and Extensions, ps, pdfProceedings of the Fifth SIAM Conference on Applied Linear Algebra, ed. J. Lewis, 34-38.
  20. R. Renaut, Qing He and Fwu-Shing Horng(1995), Parallel Multisplittings for Minimization, High Performance Computing 1995 Grand Challenges in Computer Simulation, ed. A. Tentner, Society for Computer Simulation, 317-322.
  21. Z. Jackiewicz, R.A. Renaut and M.Zennaro (1995), Explicit Two-Step Runge-Kutta, Apl. Mat, 40, 6, 433-456.
  22. R. Jeltsch, R.A. Renaut and J.H. Smit(1995), Maximal Accuracy of Stable Difference Schemes for the Wave Equation, ps, pdf BIT 35, 1, 83-115, also ETH Research Report # 93-07,Seminar für Angewandte Mathematik, Zürich.
  23. R. Renaut and H. Mittelmann(1995), Parallel Multisplitting for Optimisation,ps , pdf Journal Parallel Algorithms and Applications, 7, 17-27.
  24. R. Jeltsch, R.A. Renaut and J.H. Smit(1995), On the Courant-Friedrichs-Lewy Condition Equipped with Order for Hyperbolic Differential Equations,ps, pdf Hyperbolic Problems - Theory, Numerics, Applications,Proceedings of the Fifth International Conference On Hyperbolic Problems: Theory, Numerics, Applications , Editors: J. Glimm, M.J. Graham, J.W. Grove and B.J. Plohr, World Scientific Publishing Co Ltd. (Singapore), 30-42.
  25. K. Burrage, Z. Jackiewicz and R.A. Renaut, (1996), The Performance of Preconditioned Waveform Relaxation Techniques for Pseudospectral Methods. Numerical Methods for Partial Differential Equations, ps12, 245-263.
  26. R. Renaut and J. Fröhlich (1996), A Pseudospectral Chebychev method for the 2D wave Equation with Domain Stretching and Absorbing Boundary Conditions, J. Comput. Physics, 124, 324-336.
  27. K. Burrage, Z. Jackiewicz, S.P. Norsett and R.A. Renaut (1996), Preconditioning Waveform Relaxation Iterations for Differential Systems.ps BIT 36, 1, 54-76.
  28. R.A. Renaut and J.S. Parent (1996), Rational Approximation to $1/\sqrt{1-s^2}$, One-Way Wave Equations and Absorbing Boundary Conditions, Journal Computational and Applied Mathematics,72, 245-259.
  29. V. L. Wells and R.A. Renaut (1996), Computing Aerodynamically Generated Noise, Annual Review of Fluid Mechanics, 29, 161-199.
  30. R. A. Renaut(1997), Absorbing Boundary Conditions,ps , pdf Encyclopaedia of Mathematics Supplement Volume 1, Editor Dr. M. Hazewinkel, 9-10, Kluwer Academic Publishers, The Netherlands.
  31. R.A. Renaut(1997) , Stability of a Chebyshev Pseudospectral Solution of the Wave Equation with Absorbing boundaries, J. Comp. Appl. Math. 87, 243-259.
  32. R.A. Renaut and Yi Su(1997), Evaluation of Chebychev Pseudospectral Methods for Third Order Differential Equations. Numerical Algorithms, 16, 255-281. Electronic Version
  33. R.A. Renaut(1998), A Parallel Multisplitting Solution of The Least Squares Problem, Numerical Linear Algebra with Applications, 5, 1, 11-31.
  34. R. Jeltsch, R.A. Renaut and J.H. Smit(1998), An Accuracy Barrier for Stable Three-Time Level Difference Schemes for Hyperbolic Equations,ps ETH Research Report # 95-01, Seminar für Angewandte Mathematik, Zürich. IMA J. Numerical Analysis, 18, 3, 445-484.
  35. J. L. Mead and R. A. Renaut,(1998) High Order Methods for Problems in Computational Aeroacoustics, Mathematical and Numerical Aspects of Wave Propagation, ed. J.A. DeSanto, Proceedings of the Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, 597-599.
  36. Z. Jackiewicz, J. L. Mead and R. A. Renaut,(1998) Absorbing Boundary Conditions for the Acoustic Wave Equation, Mathematical and Numerical Aspects of Wave Propagation, ed. J.A. DeSanto, Proceedings of the Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, 635-637.
  37. X. Ding and R.A. Renaut(1998), Convergence acceleration of preconditioned indefinite systems for second order elliptic boundary value problems,ps, pdf Iterative Methods in Scientific Computation, J. Wang, M. B. Allen, B. Chen, T. Mathew (eds.), 1998, IMACS Series in Computational and Applied Mathematics, 4, 369-374.
  38. A. Frommer and R. A. Renaut(1999), Parallel Space Decompostion for Minimization of Nonlinear Functionals,ps , pdfParallel Numerical Computations with Applications, ed. T. Yang, Kluwer International Series in Engineering and Computer Science, 53-61.
  39. J. L. Mead and R. A. Renaut,(1999) Optimal Runge-Kutta Methods for First Order Pseudospectral Operators, J. Comp. Phys., 152, 404-419.
  40. A. Frommer and R. A. Renaut(1999), A Unified Approach to Parallel Space Decomposition Methods, JCAM, 110, 205-233.
  41. Z. Jackiewicz and R. A. Renaut(2000), Diagonally Implicit Multistage Methods for Pseudospectral Solutions of the Wave Equation, Applied Numerical Methods, 34, 219-229.
  42. C. C. Chen, R. A. Renaut and K. Chen(2000), Total Least Squares Image Reconstruction for Positron Emission Tomography, 2000 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences, METMBS'00, Volume I, 403-407. CSREA Press.
  43. C. Negoita, R. A. Renaut and K. Chen(2000),Determination of individual cerebral glucose uptake paramters in PET Alzheimer studies utilizing non-invasive acquisition procedures, 2000 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences, METMBS'00, Volume I, 369-375, CSREA Press.
  44. J. Mead, R.A. Renaut and B. Welfert,(2001), Stability of a Pivoting Strategy for Parallel Gaussian Elimination, Online version,BIT, 41, 3, 633-639.
  45. Z. Jackiewicz and R. A. Renaut, (2002) A note on stability of pseudospectral methods for wave propagation, JCAM, 143, 127-139.
  46. H. Guo and R.A. Renaut(2001), A Regularized Total Least Squares Algorithm, Proceedings of the Third International workshop on TLS and Errors-in-Variables Modeling, Leuven, 2001, eds.Sabine Van Huffel and Philippe Lemmerling. Kluwer,pp 57-66.
  47. J. L. Mead and R. A. Renaut,(2002) Accuracy, Resolution and Stability Properties of a Modified Chebyshev Method, SIAM Journal Scientific and Statistical Computing,24, 1, 143-160.
  48. S. V. Georgapolous, R. A. Renaut, C. A. Balanis, and C. R. Birtcher, (2001) A Hybrid Fourth-Order FDTD Utlizing a Second-Order Subdgrid, IEEE Microwave and Wireless Components, 11, 11, 462-464.
  49. S. V. Georgapolous, C. R. Birtcher, C. A. Balanis, and R. A. Renaut, (2002)
    Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration: part I: Theory, IEEE Antennas and Propagation Magazine, 44, 1, 134-142, February 2002.
  50. S. V. Georgapolous, C. R. Birtcher, C. A. Balanis, and R. A. Renaut, (2002)
    Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration: part II: Applications, IEEE Antennas and Propagation Magazine, 44, 2, 92-101, April 2002.
  51. S. V. Georgapolous, C. R. Birtcher, C. Balanis, R. A. Renaut, and A. Panaretos, (2002)
    HIRF penetration and Coupling Analysis for Fuselage Models Using a Hybrid Subgrid FDTD(2,2)/FDTD(2,4) Method, 2002 IEEE Antennas and Propagation Society International Symposium, 690-693.
  52. S. V. Georgapolous, R. Renaut, C. Balanis, C. R. Birtcher, and A. Panaretos, (2002)
    A Hybrid Method of FDTD(2,4) and Subgrid FDTD(2,2) for Modeling of Coupling, 2002 IEEE Antennas and Propagation Society International Symposium, 694-698.
  53. Rosemary Renaut and Ulrich Ruede, Guest Editors, Special Issue: Selected Papers from the Workshop On education in Cmputational Sciences held at the International Conference on Computational Sciences, Amsterdam, 2002, Future Generation Computer Systems, 19, 2003, 1265--1390.
  54. H. Guo and R. A. Renaut (2004) Estimation of ^T f(A){\bf v}$ for large-scale unsymmetric matrices,  Numerical Linear Algebra and its Applications,11,75-89.
  55. S. V. Georgapolous, C. R. Birtcher, C. A. Balanis, and R. A. Renaut,(2003) HIRF Penetration and PED Coupling Analysis for Scaled Fueslage Models Using a Hybrid Subgrid FDTD(2,2)/FDTD(2,4) Method, IEEE Trans. on Electromagnetic Compatability, 45, 2, 293-305
  56. Hongbin Guo, Rosemary Renaut, Kewei Chen and Eric Reiman(2003), Clustering Huge Data sets for Parametric PET imaging, Biosystems, 71, 1-2, 81-92.
  57. Richard Archibald, Anne Gelb, Kewei Chen and Rosemary A Renaut(2003), Improving tissue segmentation of human brain MRI through preprocessing by the Gegenbauer reconstruction method, NeuroImage, 20, 1, 489-502.
  58. Hongbin Guo, Rosemary Renaut and Kewei Chen, Clustering for three dimensional Kinetic PET data. Refereed Conference Proceedings, IEEE International Conference on Data Mining, Clustering Large Data Sets, Workshop Notes, 43-48, Melbourne Florida, 2003.
  59. Rosemary A. Renaut and Hongbin Guo, Efficient Algorithms for Solution of Regularized Total Least Squares, 26, 2, 457--476,  SIAM J Matrix Analysis, 2005.
  60. Kewei Chen, Eric M. Reiman, Gene E. Alexander, Daniel Bandy, Rosemary A. Renaut, William R. Crum, Nick C. Fox, Martin N. Rossor, An Automated Algorithm for the Computation of Brain Volume Change from Sequential MRI's Using an Iterative Principal Component Analysis and Its Evaluation for the Assessment of Whole Brain Atrophy Rates in Patients with Probable Alzheimer's Disease, Neuroimage, 22,1, 134-143 , 2004.
  61. H. Guo and R. A. Renaut Parallel Variable Distribution for Total Least Squares,  Numerical Linear Algebra with Applications, 12, 859-876, 2005. .
  62. Cristina Negoita and Rosemary A Renaut, On the Convergence of the Generalized Linear Least Squares Algorithm, BIT,  45, 1, 137--158, 2005. , Additional Results
  63. W Stefan, E. Garnero and R. A. Renaut, Signal restoration through deconvolution applied to deep mantle seismic probes, Geophys. J. Int. 167, 1353-1362, 2006. Electronic Supplement
  64. H. Guo, R. A. Renaut and K. Chen, An Input Function Estimation Method for FDG-PET Human Brain Studies , Nuclear Medicine and Biology, 34, 5 pp. 483-492 doi:10.1016/j.nucmedbio.2007.03.008.
    Online
    Electronic Supplement
  65. A. Smirnova, R. A. Renaut and T. Khan, Convergence and Application of a Modified Iteratively Regularized Gauss-Newton Algorithm 2007 Inverse Problems 23 1547-1563 doi:10.1088/0266-5611/23/4/011.
  66. H. Guo and R. A. Renaut, A Structured Data Least Squares Algorithm and its Application in Digital Filtering .Recent Advances in Computational Sciences, Selected Papers from the International Workshop on Computational Sciences, Eds: Palle Jorgensen, Xiaoping Shen, Chi-Wang Shu ISBN: 981270700X Hardback World Scientific Publishing Co Pte Ltd.
  67. K. Chen, X.Chen, R. Renaut, GE. Alexander, D. Bandy, H. Guo and E. Reiman , Characterization of the image-derived carotid artery input function using independent component analysis for the quantitation of [18F] fluorodeoxyglucose positron emission tomography images, Physics in Medicine and Biology, 52 (2007) 7055-7071.

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Rosie Renaut 2007-01-24