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Article

Liu, W.B. and Meng, W. and Mingers, J. and Tang, N. and Wang, W. (2012) Developing a Performance Management System Using Soft Systems Methodology: A Chinese Case Study. European Journal of Operational Research, 223 (2). pp. 529-540. ISSN 0377-2217. The full text of this publication is not available from this repository.

Chen, Y. and Huang, F. and Yi, N. and Liu, W.B. (2011) A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations. A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations , 49 (4). pp. 1625-1648. ISSN 0036-1429 . The full text of this publication is not available from this repository.

Zhang, D. and Banker, R.D. and Li, X. and Liu, W.B. (2011) Performance Impact of Research Policy at the Chinese Academy of Sciences. Research Policy, 40 (6). pp. 875-885. ISSN 0048-7333. The full text of this publication is not available from this repository.

Liu, W.B. and Zhang, D. and Meng, W. and Li, Xuan and Xu, F. (2011) A Study of DEA Models without Explicit Inputs. Omega, 39 . pp. 472-480. The full text of this publication is not available from this repository.

Liu, W.B. and Cheng, Z.L. and Mingers, J. and Qi, L. and Meng, W. (2010) The 3E Methodology for Developing Performance Indicators for Public Sector Organizations. Public Money & Management, 30 (5). pp. 305-312. ISSN 0954-0962 . Access to this publication is restricted.

Xu, F. and Liu, W.B. and Mingers, J. (2010) Modifications of the g-index to improve its discriminatory power. Geomatics and Information Science of Wuhan University, 35 (Special Issue). pp. 23-28. The full text of this publication is not available from this repository.

Mingers, J. and Liu, W.B. and Meng, W. (2009) Using SSM to Structure the Identification of Inputs and Outputs in DEA. Journal of the Operational Research Society, 60 (2). pp. 168-179. ISSN 0160-5682 .

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Liu, W.B. and Gong, W. and Yan, N. (2009) A new finite element approximation of a state-constrained optimal control problem. Journal of Computational Mathematics, 27 (1). pp. 97-114. ISSN 0254-9409. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2009) A Posteriori Error Estimates for Convex Boundary Control Problems. SIAM Journal on Numerical Analysis, 47 (3). pp. 1886-1908. ISSN 0036-1429. The full text of this publication is not available from this repository.

Liu, W.B. and Sirlantzis, K. (2009) SSC Minimization Algorithms. Encyclopedia of Optimization . pp. 3662-3665. ISSN 978-0-387-74758-3. The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. and Zhang, D. (2008) Two-Level DEA Approaches in Research Institute Evaluation. Omega, 36 (6). pp. 950-957. ISSN 0305-0483 . The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. and Zhang, D.Q. (2008) A study of Multi-level DEA Models and Applications. Chinese Journal of Management Science, 16 (4). pp. 148-154. The full text of this publication is not available from this repository.

Yang, D.P. and Chang, Y.Z. and Liu, W.B. (2008) A priori error estimate and superconvergence analysis for an optimal control problem of bilinear type. Journal of Computational Mathematics, 26 (4). pp. 471-487. ISSN 0254-9409. The full text of this publication is not available from this repository.

Feng, T. and Yan, N. and Liu, W.B. (2008) Adaptive Finite Element Methods for the Identification of Distribution Parameters in Elliptic Equation. Advances in Computational Mathematics , 29 (1). pp. 27-53. ISSN Online 1572-9044, Print 1019-7168 . The full text of this publication is not available from this repository.

Chen, Y.P. and Yi, N.Y. and Liu, W.B. (2008) Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations. SIAM Journal on Numerical Analysis, 46 (5). pp. 2254-2275. ISSN 0036-1429 . The full text of this publication is not available from this repository.

Chen, Y.P. and Liu, W.B. (2008) A posteriori error estimates for mixed finite element solutions of convex optimal control problems. Journal of Computational and Applied Mathematics, 211 (1). pp. 76-89. ISSN 0377-0427. The full text of this publication is not available from this repository.

Chen, Y.P. and Liu, W.B. (2008) A posteriori error estimates of mixed methods for miscible displacement problems. International Journal for Numerical Methods in Engineering, 73 (3). pp. 331-343. ISSN 0029-5981. The full text of this publication is not available from this repository.

Ebmeyer, C. and Liu, W.B. (2008) Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations. SIAM Journal on Numerical Analysis, 46 (5). pp. 2393-2410. ISSN 0036-1429 . The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. and Sharp, J.A. (2007) A Modified Slacks-Based Measure Model for Data Envelopment Analysis with 'Natural' Negative Outputs and Inputs. Journal of the Operations Research Society, 58 (12). pp. 1672-1677. ISSN 0160-5682 . The full text of this publication is not available from this repository.

Li, R. and Liu, W.B. and Yan, N.N. (2007) A posteriori error estimates of recovery type for distributed convex optimal control problems. Journal of Scientific Computing, 33 (2). pp. 155-182. ISSN 0885-7474 . The full text of this publication is not available from this repository.

Huang, Y.Q. and Li, R. and Liu, W.B. (2007) Preconditioned descent algorithms for p-Laplacian. Journal of Scientific Computing, 32 (2). pp. 343-371. ISSN 0885-7474. The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. and Li, Q. (2007) 3E Index System for Research Institute Evaluation. Studies in Science of Science, 25 . pp. 908-914. The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. and Mingers, J. (2007) On framework of research evaluation. Scientific Research Management, 28 . pp. 1-8. The full text of this publication is not available from this repository.

Mingers, J. and Liu, W.B. and Meng, W. (2007) Studies on a framework for science-technology evaluation using soft system methodology. Journal of Science Research Management, 28 (2). pp. 1-8. The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. and Hu, Z.H. (2006) Efficiency Evaluation of Basic Research in China. Scientometrics, 69 (1). 85 - 101. ISSN 0138-9130 . The full text of this publication is not available from this repository.

Liu, W.B. and Feng, T. and Gulliksson, M. (2006) Adaptive Finite Element Methods for the Identification of Elastic Constants. Journal of Scientific Computing, 26 (2). pp. 217-235. ISSN 0885-7474 . The full text of this publication is not available from this repository.

Liu, W.B. and Chen, N. and Feng, J.F. (2006) Necessary and Sufficient Conditions for Convergence of Stochastic Approximation Algorithms. probability and statistics Letter, 76 (2). pp. 203-210. ISSN 0167-7152 . The full text of this publication is not available from this repository.

Liu, W.B. and Chen, N.P. and Feng, J.F. (2006) Sufficient and necessary condition for the convergence of stochastic approximation algorithms. Statistics & Probability Letters, 76 (2). pp. 203-210. The full text of this publication is not available from this repository.

Liu, W.B. and Carstensen, C and Yan, N. (2006) A Posteriori Error Estimates For Finite Element Approximation of Parabolic p-Laplacian. SIAM Journal on Numerical Analysis, 43 (6). 2294 - 2319. ISSN 0036-1429 . The full text of this publication is not available from this repository.

Liu, W.B. and Carstensen, C and Yan, N. (2006) A Posteriori Fe Error Control for P-Laplacian by Gradient Recovery in Quasi-norm. Mathematics of Computation, 75 (256). pp. 1599-1616. ISSN 0025-5718 . The full text of this publication is not available from this repository.

Liu, W.B. and Chen, Y.P. (2006) Error Estimates and Superconvergence of Mixed Finite Element for Quadratic Optimal Control. International Journal of Numerical Analysis and Modeling, 3 (3). pp. 311-321. ISSN 1705-5105 . The full text of this publication is not available from this repository.

Liu, W.B. and Sirlantzis, K. and Lamb, J.D. (2006) Novel Algorithms for Noisy Minimisation Problems with Applications to Neural Networks Training. Journal of Optimisation Theory and It's Applications, 129 (2). pp. 325-340. The full text of this publication is not available from this repository.

Sitlantzis, K. and Lamb, J.D. and Liu, W.B. (2006) Novel Algorithms for Noisy Minimization Problems with Applications to Neural Networks Training. Journal of Optimization Theory and Applications, 129 (2). pp. 325-340. ISSN 0022-3239. The full text of this publication is not available from this repository.

Liu, W.B. and Sharp, J. and Wu, Z. (2006) Preference, Production, and Performance in Data Envelopment Analysis. Annals of Operation Research, Performance Evaluation and Beyond: Data Envelopment Analysis Research Frontiers , 145 . 105 - 127. ISSN 0254-5330. The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. (2006) Scale Efficiency Analysis of Research Institutes Using DEA. Scientific Research Management, 27 (4). pp. 20-25. The full text of this publication is not available from this repository.

Liu, W.B. and Ebmeyer, C. (2005) Quasi-Norm interpolation error estimates for the piecewise linear finite element approximation of p-Laplacian problems. Numerische Mathematik, 100 (2). 233 -258. ISSN 0029-599X. The full text of this publication is not available from this repository.

Liu, W.B. (2005) Adaptive Multi-Meshes in Finite Element Approximation of Optimal Control. Contemporary Mathematics, 383 . pp. 113-132. ISSN 0271-4132. The full text of this publication is not available from this repository.

Liu, W.B. and Meng, W. and Li, X.X. (2005) DEA in Research Evaluation. Management of Science and Technology, 26 (9). pp. 11-16. The full text of this publication is not available from this repository.

Liu, W.B. and Ebmeyer, C. and Steinhauer, M. (2005) Global regularity in fractional order Sobolev spaces for the p-Laplace equation on polyhedral domains. Journal For Analysis and It's Applications, 24 (2). pp. 353-374. ISSN 0232-2064 . The full text of this publication is not available from this repository.

Liu, W.B. and Li, R. and Ma, H.P. (2004) Moving Mesh Method with Error-Estimator-Based Monitor and Its Applications to Static Obstacle Problem. Journal of Scientific Computing, 21 (1). pp. 31-55. ISSN 0885-7474 . The full text of this publication is not available from this repository.

Liu, W.B. and Ma, H.P. and Tang, T. and Yan, N. (2004) A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed By Parabolic Equations. SIAM Journal on Numerical Analysis, 42 (3). pp. 1032-1061. ISSN 0036-1429. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2003) A Posteriori Error Estimates For Control Problems Governed by Stokes' Equations. SIAM Journal on Numerical Analysis, 40 (5). pp. 1805-1869. ISSN 00361429. Access to this publication is restricted.

Liu, W.B. and Yan, N. (2003) A Posteriori Error Estimates For Nonlinear Elliptic Control Problems. Application of Numerical Analysis, 47 (2). pp. 173-187. ISSN 0168-9274. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2003) A Posteriori Error Estimates for Optimal Control Problems Governed By Parabolic Equations. Numerische Mathematik, 93 (3). pp. 497-521. ISSN 0029-599X. The full text of this publication is not available from this repository.

Liu, W.B. and Dai, Y. and Lamb, J.D. (2003) Novel Supervisor-Searcher Cooperation Algorithms For Minimization Problems With Strong Noise. Optimization Methods and Software, 18 (3). pp. 246-264. ISSN 1055-6788 . The full text of this publication is not available from this repository.

Liu, W.B. and Neittaanmaki, P. and Tiba, C. (2003) Existence For Shape Optimization Problems in Arbitrary Dimension. SIAM Journal on Control and Optimization, 41 (5). pp. 1440-1454. ISSN 0363-0129. The full text of this publication is not available from this repository.

Liu, W.B. and Li, R. and Ma, H.P. and Tang, T. (2002) Adaptive Finite Element Approximation For Distributed Elliptic Optimal Control Problems. SIAM Journal on Control and Optimization, 41 (5). pp. 1321-1349. ISSN 0363-0129. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2002) Quasi-Norm Interpolation Error Estimation and a Posterori Error Estimates for P-Laplacian. SIAM Journal on Numerical Analysis, 40 (5). pp. 1870-1895. ISSN 0036-1429. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2002) Quasi-Norm Local Error Estimates For Finite Element Approximation of P-Laplacian. SIAM, Journal on Numerical Analysis, 39 (1). pp. 100-127. ISSN 0036-1429 . The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2001) Quasi Norm a Posteriori Error Estimates Based on Gradient Recovery or Residual Estimation. Journal of Scientific Computing, 16 (4). pp. 435-477. ISSN 0885-7474. The full text of this publication is not available from this repository.

Liu, W.B. and Cheng, R.C.H. (2001) The Consistency of Estimators in Finite Mixture Models. Scandinavian Journal of Statistics, 28 (4). pp. 603-616. ISSN 0303-6898 . The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2001) A Posteriori Error Estimates For Distributed Optimal Control Problems. Advances in Computational Mathematics, 15 (1-4). pp. 285-309. ISSN 1019-7168 . The full text of this publication is not available from this repository.

Liu, W.B. and Tiba, C. (2001) Error Estimates in the Approximation of Optimization Problems Governed by Non-Linear Operators. Numerical Functional Analysis and Optimization, 22 (7-8). pp. 953-972. ISSN 0163-0563. The full text of this publication is not available from this repository.

Liu, W.B. and Dai, Y.H. (2001) Minimization Algorithms Based On Supervisor and Searcher Co-operation. Journal of Optimization Theory and Applications, 111 (2). pp. 359-379. ISSN 0022-3239. The full text of this publication is not available from this repository.

Liu, W.B. and Tang, T. and Ma, H.P. (2001) On Mixed Error Estimates For Elliptic Obstacle Problems. Advances in Computational Mathematics, 15 (1-4). pp. 261-283. ISSN 1019-7168 . The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2001) Quasi-Norm a Posteriori Error Estimates For Non-Conforming Finite Element Approximation of P-Laplacian. Numerische Mathematik, 89 (2). pp. 341-378. ISSN 0029-599X (Print) 0945-3245 (Online). The full text of this publication is not available from this repository.

Liu, W.B. and Tang, T. (2001) Error Analysis for a Galerkin-Spectral Method With Coordinate Transformation for Solving Singularly Pertubed Problems. Applied Numerical Mathematics, 38 (3). pp. 315-345. ISSN 0168-9274. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N.N. (2001) A posteriori error estimates for distributed convex optimal control problems. Advances in Computational Mathematics, 15 (1-4). pp. 285-309. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N.N. (2001) Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian. Numerische Mathematik, 89 (2). pp. 341-378. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N.N. (2001) Quasi-norm local error estimators for p-Laplacian. Siam Journal on Numerical Analysis, 39 (1). The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2001) A Posteriori Error Estimates for Convex Boundary Control Problems. SIAM Journal of Numerical Analysis, 39 (1). pp. 73-99. ISSN 0036-1429. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2001) Quasi-norm local error estimates for p-laplacian. SIAM. J. Numer.Anal, 39 (1). pp. 100-127. The full text of this publication is not available from this repository.

Liu, W.B. and Sirlantizs, K. (2001) SSC Algorithms for Optimization. Encyclopaedia of Optimization, 5 . pp. 253-257. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2001) Some a Posteriori Error Estimators for p-Laplacian Based on Residual Estimation or Gradient Recovery. JSC, 16 (4). pp. 435-477. The full text of this publication is not available from this repository.

Liu, W.B. (2000) Degenerate Quasilinear Elliptic Equations Arising From Bimaterial Problems in Elastic-Plastic Mechanics II. Numerische Mathematik, 86 (3). pp. 497-506. ISSN 0029-599X. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2000) A Posteriori Error Estimators for a Class of Variational Inequalities. Journal of Scientific Computing, 15 (3). pp. 361-393. ISSN 0885-7474. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N.N (2000) A posteriori error estimates for some model boundary control problems. Journal of Computational and Applied Mathematics, 120 (1-2). pp. 159-173. ISSN 0377-0427. The full text of this publication is not available from this repository.

Liu, W.B. and Yan, N. (2000) A Posteriori Error Estimates for a Model Boundary Optimal Control Problem. Journal of Computational and Applied Mathematics, 120 (1-2). pp. 159-173. ISSN 0377-0427. The full text of this publication is not available from this repository.

Liu, W.B. and Neittaanmaki, P. and Tiba, C. (2000) On the structural optimization problems. Comptes Rendus De L Academie Des Sciences Serie I-Mathematique, 331 (1). pp. 101-106. ISSN 0764-4442. The full text of this publication is not available from this repository.

Liu, W.B. (2000) Finite element approximation of a nonlinear elliptic equation arising from bimaterial problems in elastic-plastic mechanics. Numerische Mathematik, 86 (3). pp. 491-506. ISSN 0029-599X. The full text of this publication is not available from this repository.

Liu, W.B. (1999) Degenerate quasilinear elliptic equations arising from bimaterial problems in elastic-plastic mechanics. Nonlinear Analysis-Theory Methods & Applications, 35 (4). pp. 517-529. ISSN 0362-546X. The full text of this publication is not available from this repository.

Cheng, R.C.H. and Liu, W.B. (1997) A continuous representation of the family of stable law distributions. Journal of the Royal Statistical Society Series B-Methodological, 59 (1). pp. 137-145. ISSN 0035-9246. The full text of this publication is not available from this repository.

Cheng, R.C.H. and Liu, W.B. (1997) Acknowledgement of priority: A continuous representation of the family of stable law distributions. Journal of the Royal Statistical Society Series B-Methodological, 59 (3). p. 729. ISSN 0035-9246. The full text of this publication is not available from this repository.

Robert, C.P. and Aitkin, M. and Cox, D.R. and Stephens, M. and Polymenis, A. and Gilks, W.R. and Nobile, A. and Hodgson, M. and Ohagan, A. and Longford, N.T. and Dawid, A.P. and Atkinson, A.C. and Bernardo, J.M. and Besag, J. and Brooks, S.P. and Byers, S. and Raftery, A. and Celeux, G. and Cheng, R.C.H. and Liu, W.B. and Chien, Y.H. and George, E.I. and Cressie, N. and Huang, H.C. and Gruet, M.A. and Heath, S.C. and Jennison, C. and Lawson, A.B. and Clark, A. and McLachlan, G. and Peel, D. and Mengersen, K. and George, A. and Philippe, A. and Roeder, K. and Wasserman, L. and Schlattmann, P. and Bohning, D. and Titterington, D.M. and Tong, H.W. and West, M.J. (1997) On Bayesian analysis of mixtures with an unknown number of components - Discussion. Journal of the Royal Statistical Society Series B-Statistical Methodology, 59 (4). pp. 758-792. ISSN 0035-9246. The full text of this publication is not available from this repository.

Liu, W.B. and Floudas, C.A. (1996) Generalized primal-relaxed dual approach for global optimization. Journal of Optimization Theory and Applications, 90 (2). pp. 417-434. ISSN 0022-3239. The full text of this publication is not available from this repository.

Liu, W.B. and Barrett, J. (1993) Finite-Element Approximation of The P-Laplacian. Mathematics of Computation, 61 (204). pp. 523-537. ISSN 0025-5718 . The full text of this publication is not available from this repository.

Book section

Liu, W.B. and Meng, W. and Zhang, D.Q. (2006) Incorporating Value Judgments in DEA. In: Productivity Analysis in the Service Sector using Data Envelopment Analysis. NK Avkiran.

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Liu, W.B. (2001) Generalised primal-relaxed dual approach, GPRD. In: Floudas, C.A. and Pardalos, Panos M., eds. Encyclopaedia of Optimization. Kluwer Academic Publishers, pp. 254-257. ISBN 0792370260. The full text of this publication is not available from this repository.

Liu, W.B. and Feng, J.F. (2001) SSC Minimisation Algorithms for Nonsmooth and Stochastic Optimisation. In: Floudas, C.A. and Pardalos, P.M., eds. Encyclopedia of Optimization. Kluwer academic Publishers, pp. 257-260. ISBN 0-7923-7030-9. The full text of this publication is not available from this repository.

Liu, W.B. and Sirtlantzis, K. (2001) SSC Minimization Algorithms. In: Floudas, C. and Pardalos, P., eds. Encyclopedia of Optimization. Kluwer Academic Publishers, Boston, pp. 253-257. ISBN 0-7923-7030-9. The full text of this publication is not available from this repository.

Monograph

Liu, W.B. and Mingers, J. and Xu, F. (2009) Modifications to the g-index to Improve its Discriminatory Power. Working paper. University of Kent Canterbury, Canterbury

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Mingers, J. and Liu, W.B. and Chen, Z.L. and Li, Q. and Meng, W. (2009) The 3E Methodology for Developing Performance Indicators for Public Sector Organisations. Working paper. University of Kent Canterbury, Canterbury

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Liu, W.B. and Li, X. and Qi, L. and Zhang, D. (2007) DEA Analysis Based on both Efficient and Anti-Efficient Frontiers. Working paper. Kent Business School, University of Kent, Canterbury (Submitted)

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Liu, W.B. and Meng, W. and Zhang, D. (2007) Multi-level DEA Approach in Research Evaluation. Working paper. Kent Business School, University of Kent, Canterbury (Submitted)

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Liu, W.B. and Mingers, J. and Meng, W. (2006) Combining SSM and DEA: Evaluating the Basic Research Performance for the Chinese Academy of Sciences. Working paper. University of Kent, Canterbury, Canterbury

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Sharp, J.A. and Meng, W. and Liu, W.B. (2005) A Modified Slacks Based Measure Model for Data Environment Analysis with 'Natural' Negative Outputs and Inputs. Working paper. Kent Business School, University of Kent, Canterbury

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Liu, W.B. and Meng, W. and Hu, Z.H. (2005) Efficiency Evaluation of Basic Research in China. Working paper. scientometrics

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Liu, W.B. and Sharp, J. and Wu, Z. (2004) Preference, Production and Performance in Data Envelopment Analysis. Working paper. Kent Business School, Canterbury, United Kingdom

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Conference or workshop item

Liu, W.B. (2001) Recent Advances in Mesh Adaptivity for Optimal Control. In: UNSPECIFIED. The full text of this publication is not available from this repository.

Liu, W.B. and Barrett, J. (1994) Finite-Element Approximation of Degenerate Quasi-Linear Elliptic and Parabolic Problems. In: Numerical Analysis 1993- Proceedings of the 15th Dundee Confrence. Pitman Research Notes in Mathematics, 303. Longman pp. 1-16. ISBN 0-582-22568-X . The full text of this publication is not available from this repository.

Sirlantzis, K. and Liu, W.B. The Supervisor-Searcher Co-operation Framework: A Class of Powerful Algorithms for Stochastic Optimisation. In: Euro 2001-European Operational Research Conference, Association of European Operational Research Societies , 2001, Rotterdam. The Netherlands. The full text of this publication is not available from this repository.

Book

Liu, W.B. and Yan, N. (2008) Adaptive Finite Element Methods for Optimal Control Governed by PDEs: C Series in Information and Computational Science 41. Science Press, China ISBN 9787030222565 . The full text of this publication is not available from this repository.