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- Volume 14 (June to December, 2010)
- Volume 15 (Special volume devoted to material presented at SCAN 2008)
- Volume 16 (July, 2011 through December, 2012)
- Volume 17 (Special Issue on the Use of Bernstein Polynomials in Reliable Computing: A Centennial Anniversary)
- Volume 18 (2013)
- Volume 19 (Special volume devoted to material presented at SCAN 2012)
- Volume 20 (Starting 2014)
- Volume 21 (Starting 2015)
- Volume 22 (Special issue devoted to material presented at SWIM 2015)
- Volume 23 (Special issue in honor of Ray Moore, 1929-2015)
- Supplementum: Proceedings of the 2002 SIAM Workshop on Validated Computing

- Alexandre Goldsztejn and Luc Jaulin, Inner Approximation of the Range of Vector-Valued Functions, pp. 1-23, June, 2010.
- Shinya Miyajima, Takeshi Ogita, Siegfried M. Rump, and Shin'ichi Oishi. Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problems, pp. 24-45, June, 2010.
- B. M. Patre and P. J. Deore, Robust State Feedback for Interval Systems: An Interval Analysis Approach, pp. 46-60, June, 2010.
- Jürgen Garloff, Karl L. E. Nickel (1924 -- 2009), pp. 61-65, June, 2010.
- Thomas Beelitz, Bruno Lang, Peer Ueberholz, and Paul Willems, Closing the Case t = 3 for 3-D Spherical t-Designs Using a Result-Verifying Nonlinear Solver, pp. 66-77, June, 2010.
- Milan Hladík, Solution Sets of Complex Linear Interval Systems of Equations, pp. 78-87, June, 2010.
- Nacim Meslem, Nacim Ramdani, and Yves Candau, Guaranteed Parameter Set Estimation for Monotone Dynamical Systems Using Hybrid Automata, pp. 88-104, June, 2010.
- Stefania Corsaro and Marina Marino, Archetypal Analysis of Interval Data, pp. 105-116, June, 2010.
- Shashwati Ray and P. S. V. Nataraj, A New Strategy for Selecting Subdivision Point in the Bernstein Approach to Polynomial Optimization, pp. 117-137, June, 2010.
- Michael Zimmer, Walter Krämer, and Werner Hofschuster, Sparse Matrices and Vectors in C-XSC, pp. 138-160, January, 2011.

- René Alt, Jean-Luc Lamotte, and Svetoslav Markov, On the Accuracy of the Solution of Linear Problems on the CELL Processor, pp. 1-12, May, 2011.
- Miguel
Argáez, Solving Overdetermined
Systems in l
_{p}Quasi-Norms, pp. 13-25, May, 2011. - Frithjof Blomquist, Staggered Correction Computations with Enhanced Accuracy and Extremely Wide Exponent Range, pp. 26, 35, May, 2011.
- Gerd Bohlender and Ulrich Kulisch, Definition of the Arithmetic Operations and Comparison Relations for an Interval Arithmetic, pp. 36-42, May, 2011.
- Darrell Cheu and Luc Longpré, Towards the Possibility of Objective Interval Uncertainty in Physics, pp. 43-46, May, 2011.
- Alexandre Goldsztejn, Yahia Lebbah, Claude Michel, and Michel Rueher, Capabilities of Constraint Programming in Safe Global Optimization, pp. 47-59, May, 2011.
- Karen Villaverde and Gang Xiang, Estimating Variance under Interval and Fuzzy Uncertainty: Parallel Algorithms, pp. 60-68, May, 2011.

- Sandeep Hattangady, William Edmonson, and Winser Alexander, Block Floating Point Interval ALU for Digital Signal Processing, pp. 69-80, June, 2011.
- Ivan Petković, Computational Aspects of the Implementation of Disk Inversions, pp. 81-90, June, 2011.
- Miodrag S. Petković and Dušan M. Milošević, Higher Order Methods for the Inclusion of Multiple Zeros of Polynomials, pp. 91-108, June, 2011.
- P. S. V. Nataraj and M. Arounassalame, An Interval Newton Method Based on the Bernstein Form for Bounding the Zeros of Polynomial Systems, pp.109-119, June, 2011.
- Nguyen Hong Diep and Nathalie Revol, Solving and Certifying the Solution of a Linear System, pp.120-131, June, 2011.
- Andrzej Pownuk and Naveen Kumar Goud Ramunigari, Application of Order-Preserving Functions to the Modeling of Computational Mechanics Problems with Uncertainty, pp.132-143, June, 2011.
- M. H. van Emden, From Interval Arithmetic to Interval Constraints, pp.144-155, June, 2011.
- Naoya Yamanaka, Masahide Kashiwagi, Shin'ichi Oishi, and Takeshi Ogita, A Note on a Verified Automatic Integration Algorithm, pp.156-167, June, 2011.

- Joshua A. Enszer and Mark A. Stadtherr, Verified Solution and Propagation of Uncertainty in Physiological Models, pp.168-178, July, 2011.
- Sebastian Kempken and Wolfram Luther, Verifed Factorization Methods for SMP/G/1 Queueing Systems and their Interplay in an Integrated Problem-Solving Environment, pp.179-192, July, 2011.
- Mariana Kolberg, Walter Krämer and Michael Zimmer, Efficient Parallel Solvers for Large Dense Systems of Linear Interval Equations, pp.193-206, July, 2011.
- Bartłomiej Jacek Kubica, Interval Methods for Solving Underdetermined Nonlinear Systems, pp.207-217, July, 2011.
- Tanja Magoč, Martine Ceberio, and Francois Modave, Using Preference Constraints to Solve Multi-Criteria Decision Making Problems, pp.218-229, July, 2011.
- Miguel Argáez, Leticia Velázquez, Carlos Quintero, Hector Klie, and Mary Wheeler, A Hybrid Algorithm for Global Optimization Problems, pp.230-241, July, 2011.
- Julie Roy et al, Global Optimization and Singular Nonlinear Programs: New Techniques, pp.242-250, July, 2011.
- P. S. V. Nataraj and Shanta Sondur, The Extrapolated Taylor Model, pp. 251-278, July, 2011.
- German Tischler and Jürgen Wolff von Gudenberg, Solving Decidability Problems with Interval Arithmetic, pp. 279-289, July, 2011.

- Lev Kapitanski and Sanja Živanovič, Dynamics with a Range of Choice, pp. 290-299, July, 2011.
- Tanja Magoč, Xiaojing Wang, Francois Modave, and Martine Ceberio, Applications of Fuzzy Measures and Intervals in Finance, pp. 300-311, July, 2011.
- M. Nehmeier and J. Wolff v. Gudenberg, filib++ , Expression Templates and the Coming Interval Standard, pp. 312-320, July, 2011.
- Andreas Rauh, Ekaterina Auer, Mareile Freihold, Eberhard P. Hofer, and Harald Aschemann, Detection and Reduction of Overestimation in Guaranteed Simulations of Hamiltonian Systems, pp. 321-332, July, 2011.
- Andreas Rauh, Johanna Minisini, Eberhard P. Hofer, and Harald Aschemann, Robust and Optimal Control of Uncertain Dynamical Systems with State-Dependent Switchings Using Interval Arithmetic, pp. 333-344, July, 2011.
- Irene A. Sharaya and Sergey P. Shary, Tolerable Solution Set for Interval Linear Systems with Constraints on Coefficients, pp. 345-357, July, 2011.
- Sergey P. Shary, On Nonnegative Interval Linear Systems and Their Solution, pp. 358-369, July, 2011.
- Andreas Rauh and Ekaterina Auer, Verified Simulation of ODEs and DAEs in ValEncIA-IVP, pp. 370-381, July, 2011.

- Lubomir V. Kolev, A Method for Determining the Regularity Radius of Interval Matrices, pp. 1-26, July, 2011.
- Milan Hladík and Luc Jaulin, An Eigenvalue Symmetric Matrix Contractor, pp. 27-37, October, 2011.
- Samiran Karmakar and A. K. Bhunia, A Comparative Study of Different Order Relations of Intervals, pp. 38-72, January, 2012.
- Elke Just and Bruno Lang, A Success-Guided Selection of Expanded Systems for Result-Verifying Nonlinear Solvers, pp. 73-83, March, 2012.
- Peter Schodl and Arnold Neumaier, Continuity Notions for Multi-Valued Mappings with Possibly Disconnected Images, pp. 84-101, March, 2012.
- Shinya
Miyajima, Componentwise Error
Estimates for Solutions Obtained by Stationary Iterative Methods,
pp. 102-106, April, 2012.

- Shinya Miyajima, The Relation between Two Types of Error Bounds for Computed Matrix Eigenvalues, pp. 107-113, April, 2012.
- Stefan Kiel, YalAA: Yet Another Library for Affine Arithmetic, pp. 114-129, September, 2012.
- Alexandre Goldsztejn, Modal Intervals Revisited, Part 1: A Generalized Interval Natural Extension, pp. 130-183, October, 2012.
- Alexandre Goldsztejn, Modal Intervals Revisited, Part 2: A Generalized Interval Mean Value Extension, pp. 184-209, October, 2012.
- Günter Mayer, On an Expression for the Midpoint and the Radius of the Product of Two Intervals, pp. 210-224, October, 2012.
- Mimica R. Milošević and Miodrag S. Petković, Ostrowski-Like Method for the Inclusion of a Single Complex Polynomial Zero, pp. 225-238, October, 2012.
- Pau Herrero, Pantelis Georgiou, Christofer Toumazou, Benoît Delaunay and Luc Jaulin, An Efficient Implementation of the SIVIA Algorithm in a High-Level Numerical Programming Language, pp. 239-251, October, 2012.
- Jennifer Harlow, Raazesh Sainudiin, and Warwick Tucker, Mapped Regular Pavings, pp. 252-282, November, 2012.
- E. de Weerdt, E. van Kampen, Q. P. Chu, and J. A. Mulder, Polynomial Inclusion Functions, pp. 283-307, November, 2012.
- Chengpu Wang, A New Uncertainty-Bearing Floating-Point Arithmetic pp. 308-361, December, 2012.

- Jorge Delgado and Juan Manuel Peña, Optimality of Bernstein Representations for Computational Purposes, pp. 1-10, December, 2012.
- Richard Leroy, Convergence under Subdivision and Complexity of Polynomial Minimization in the Simplicial Bernstein Basis, pp. 11-21, December, 2012.
- Dominique Michelucci, Sebti Foufou, and Arnaud Kubicki, On the Complexity of the Bernstein Combinatorial Problem, pp. 22- 33, December, 2012.
- Anthony Narkawicz, Jürgen Garloff, Andrew P. Smith, and César A. Muñoz, Bounding the Range of a Rational Function over a box, pp. 34-39, December, 2012.
- Shashwati Ray and P. S. V. Nataraj, A Matrix Method for Efficient Computation of Bernstein Coefficients, pp. 40-71, December, 2012.

- Szilvia Béla and Bert Jüttler, Real Root Approximation Using Fat Spheres, pp. 72-96, December, 2012.
- Luis G. Crespo, Daniel P. Giesy, and Sean P. Kenny, A Unifying Framework to Uncertainty Quantification of Polynomial Systems Subject to Aleatory and Epistemic Uncertainty, pp. 97-127, December, 2012.
- Thao Dang and Romain Testylier, Reachability Analysis for Polynomial Dynamical Systems Using the Bernstein Expansion, pp. 128-152, December, 2012.
- Coen C. de Visser, Eric-Jan van Kampen, Q. Ping Chu, and J. A. Mulder, Intersplines: A New Approach to Globally Optimal Multivariate Splines Using Interval Analysis, pp. 153-191, December, 2012.
- Sebti Foufou and Dominique Michelucci, The Bernstein Basis and its Applications in Solving Geometric Constraint Systems, pp. 192-208, December, 2012.
- Anthony Narkawicz and César A. Muñoz, Formal Verification of Conflict Detection Algorithms for Arbitrary Trajectories, pp. 209-237, December, 2012.

- Marcin Michalak and Vladik Kreinovich, Is it Possible to Have a Feasible Enclosure-Computing Method Which Is Independent of the Equivalent Form?, pp. 1-8, January, 2013.
- Shinya Miyajima, Fast Enclosure of Matrix Polynomials, pp. 9-14, January, 2013.
- Raazesh Sainudiin and Thomas York, An Auto-Validating, Trans-Dimensional, Universal Rejection Sampler for Locally Lipschitz Arithmetical Expressions, pp. 15-54, April, 2013.
- Hao Jiang, Housen Li, Lizhi Cheng, Roberto Barrio, Canbin Hu, and Xiangke Liao, Accurate, Validated and Fast Evaluation of Bézier Tensor Product Surfaces, pp. 55-72, May, 2013.
- Mādālina Eraşcu and Hoon Hong, The Secant-Newton Map is Optimal Among Contracting Quadratic Maps for Square Root Computation, pp. 73-81, May, 2013.
- Maryam Shams Solary, Finding the Smallest Eigenvalue by Properties of Semidefinite Matrices, pp. 82-89, June, 2013.
- Andrzej Pownuk, Luc Longpré and Vladik Kreinovich , Checking Monotonicity is NP-Hard Even for Cubic Polynomials, pp. 90-96, July, 2013.
- Raazesh Sainudiin and Thomas Steinke, A Rigorous Extension of the Schönhage-Strassen Integer Multiplication Algorithm Using Complex Interval Arithmetic, pp. 97-116, September, 2013.
- Olivier Mullier, Éric Goubault, Michel Kieffer, and Sylvie Putot, General Inner Approximation of Vector-valued Functions, pp. 117-143, November, 2013.
- Benham Hashemi and Hanieh Tavakolipour, A Non-Induced Interval Matrix Norm, pp. 144-146, November, 2013.
- Pavel V. Saraev, Interval Pseudo-Inverse Matrices and Interval Greville Algorithm, pp. 147-156, December, 2013.

Issue
1

- Stepan Yu. Gatilov, Efficient Angle Summation Algorithm for Point Inclusion Test and Its Robustness, pp. 1-25.
- Elena K. Kostousova, On Boundedness and Unboundedness of Polyhedral Estimates for Reachable Sets of Linear Differential Systems, pp. 26-44.
- Tomoaki Okayama, Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals, pp. 45-65.
- Andreas Rauh, Ramona Westphal, Harald Aschemann, and Ekaterina Auer, Exponential Enclosure Techniques for the Computation of Guaranteed State Enclosures in ValEncIA-IVP, pp. 66-90.
- Nathalie Revol and Philippe Théveny, Parallel Implementation of Interval Matrix Multiplication, pp. 91-106.
- Alexander V. Prolubnikov, An Interval Approach to Pattern Recognition of Numerical Matrices, pp. 107-119.
- Ilya B. Labutin and Irina V. Surodina, Algorithm for Sparse Approximate Inverse Preconditioners in the Conjugate Gradient Method, pp. 120-126.

- A. Minamihata, K. Sekine, T. Ogita, and S. Oishi, Fast Verified Solutions of Sparse Linear Systems with H-matrices, pp. 127-141.
- J. Horáček and M. Hladík, Computing Enclosures of Overdetermined Interval Linear Systems, pp. 142-155.
- Ekaterina Auer and Stefan Kiel, Uses of Verified Methods for Solving Non-Smooth Initial Value Problems, pp. 156-175.
- Dmitri Yu. Lyudvin and Sergey P. Shary, Testing Implementations of PPS-methods for Interval Linear Systems, pp. 176-196.
- Sergey I. Kumkov and Yuliya V. Mikushina, Interval Approach to Identification of Catalytic Process Parameters, pp. 197-214.
- Anatoly V. Panyukov and Valentin A. Golodov, Computing Best Possible Pseudo-Solutions to Interval Linear Systems of Equations, pp. 215-228.

- Dmitry Yu. Nadezhin and Sergei I. Zhilin, JInterval Library: Principles, Development, and Perspectives, pp. 229-247.
- Maxim I. Pushkarev and Sergey A. Gaivoronsky, Maximizing Stability Degree of Control Systems under Interval Uncertainty Using a Coefficient Method, pp. 248-260.
- Luc Jaulin, Outer Approximation of Attractors Using an Interval Quantization, pp. 261-273.
- Boris S. Dobronets and Olga A. Popova, Numerical Probabilistic Analysis under Aleatory and Epistemic Uncertainty, pp. 274-289.
- Anatoly V. Lakeyev, On Unboundedness of Generalized Solution Sets for Interval Linear Systems, pp. 290-301.
- Stefan Kiel, Ekaterina Auer, and Andreas Rauh, An Environment for Testing, Verification and Validation of Dynamical Models in the Context of Solid Oxide Fuel Cells, pp. 302-317.
- Alexander Savchenko, Computation of Potential and Attraction Force of an Ellipsoid, pp. 318-329.

- Andreas Rauh, Luise Senkel, Thomas Dötschel, Harald Aschemann and Ekaterina Auer, Numerical Verification and Experimental Validation of Sliding Mode Control Design for Uncertain Thermal SOFC Models, pp. 330-350.
- Vladimir V. Dombrovskii and Elena V. Chausova, Model Predictive Control for Linear Systems with Interval and Stochastic Uncertainties, pp. 351-360.
- Andreas Rauh, Luise Senkel, Julia Kersten, and Harald Aschemann, Interval Methods for Sensitivity-Based Model-Predictive Control of Solid Oxide Fuel Cell Systems, pp. 361-384.
- Bartłomiej Jacek Kubica, Excluding Regions Using Sobol Sequences in an Interval Branch-and-Prune Method for Nonlinear Systems, pp. 385-397.
- Sethy Montan, Christophe Denis, Jean-Marie Chesneaux, and Jean-Luc Lamotte, Efficient Matrix Multiplication Based on Discrete Stochastic Arithmetic, pp. 398-416.
- Anatoly V. Panyukov, Scalability of Algorithms for Arithmetic Operations in Radix Notation, pp. 417-434.
- Irene A. Sharaya, Boundary Intervals Method for Visualization of Polyhedral Solution Sets, pp. 435-467 (specially marked, as Irene left it).

- Lyubomir V. Kolev, Componentwise Determination of the Interval Hull Solution for Linear Interval Parameter Systems, pp. 1-24, March, 2014.
- Smita Tapaswini and S. Chakraverty, New Midpoint-based Approach for the Solution of n-th Order Differential Equations, pp. 25-44, April, 2014.
- Siegfried M. Rump, Verified Bounds for the p-Norm Condition Number, pp. 45-52, June, 2014.
- Alexandre Goldsztejn and Arnold Neumaier, On the Exponentiation of Interval Matrices, pp. 53-72, October, 2014.
- Florian Bünger, A Note on the Boundary Shape of Matrix Polytope Products, pp. 73-88, October, 2014.
- Shinya Miyajima, Fast Enclosure for Solutions of Generalized Least Squares Problems, pp. 89-112, February, 2015.
- Obituary: Irene Sharaya (1962-2015) (by Sergey P. Shary), pp. 113-114, March, 2015.

- Joe Lorkowski, Olga Kosheleva, Luc Longpré, and Vladik Kreinovich, When Can We Reduce Multi-Variable Range Estimation Problems to Two Fewer-Variable Problems?, pp. 1-10, August, 2015.
- Md. Abu Talhamainuddin Ansary and Geetanjali Panda, Higher Order Root Finding Algorithm using Interval Analysis, pp. 11-24, September, 2015.
- Jiri Rohn, The Solution Set of Interval Linear Equations is Homeomorphic to the Unit Cube: An Explicit Construction, pp. 25-34, November, 2015.
- Pacôme Eberhart, Julien Brajard, Pierre Fortin, and Jabienne Jézéquel, High Performance Numerical Validation using Stochastic Arithmetic, pp. 35-52, December, 2015.
- Federica Gioia, Capital Asset Pricing Model Using Regression Methods for Interval-Valued Variables, pp. 53-73, May, 2016.
- Florian Bünger and Siegfried M. Rump, A Short Note on the Convexity of Interval Matrix-Vector Products, pp. 74-79, June, 2016.
- Svetoslav Markov, On the Algebra of Intervals, pp. 80-108, June, 2016.

Guest
editors: Milan
Hladik, Luc
Jaulin, and Nacim
Ramdami

- Jürgen Garloff, Mohammad Adm, and Jihad Titi, A Survey of Classes of Matrices Possessing the Interval Property and Related Properties, pp. 1-14, January, 2016.
- Sergey I. Kumkov, An Estimation Problem of Chemical Process with Confluent Parameters: An Interval Approach, pp. 15-25, March, 2016.
- Lubomir Kolev, A Class of Iterative Methods for Determining p-Solutions of Linear Interval Parametric Systems, pp. 26-46, May, 2016.
- Luc Jaulin, Inner and Outer Set-Membership State Estimation, pp. 47-55, June, 2016.
- Julien Alexandre dit Sandretto and Alexandre Chapoutot, Validated Simulation of Differential Algebraic Equations with Runge-Kutta Methods, pp. 56-77, July, 2016.
- Julien Alexandre dit Sandretto and Alexandre Chapoutot, Validated Explicit and Implicit Runge-Kutta Methods, pp. 79-103, July, 2016.
- Elif Garajová and Martin Mečiar, Solving and Visualizing Nonlinear Set Inversion Problems, pp. 104-115, July, 2016.
- M. Laranjeira, L. Jaulin, and S. Tauvry, Building Underwater Mosaics Using Navigation Data and Feature Extraction, pp. 116-137, August, 2016.
- D, Monnet, J. Ninin, and L. Jaulin, Computing an Inner and an Outer Approximation of the Viability Kernel, pp. 138-148, September, 2016.

- Preface, p. 1.
- Ramon Moore: Short biography, and recollections from close associates, pp. 2-14.
- Nedialko S. Nedialkov, Kenneth R. Jackson, and Markus Neher, On the Blunting Method in Verified Integration of ODEs, pp. 15-34, July, 2016.
- L. Jaulin, B. Desrochers, and D. Massé, Bisectable Abstract Domains for the Resolution of Equations Involving Complex Numbers, pp. 35-46, July, 2016.
- Naijia Xiao, Francesco Fedele, and Rafi L. Muhanna, Interval-Based Parameter Identification for Structural Static Problems, pp. 47-72, July, 2016.
- Kiyotaka Yamamura and Suguru Ishiguro, Finding All Solution Sets of Piecewise-Linear Interval Equations Using Integer Programming, pp. 73-96, July, 2016.
- Vladik Kreinovich, Standing on the Shoulders of the Giants: Why Constructive Mathematics, Probability Theory, Interval Mathematics, and Fuzzy Mathematics Are Important, pp. 97-104, July, 2016.
- Vladik Kreinovich and Sergey P. Shary, Interval Methods for Data Fitting under Uncertainty: A Probabilistic Treatment, pp. 105-140, July, 2016.
- Ulrich Kulisch and Gerd Bohlender, High Speed Associative Accumulation of Floating-point Numbers and Floating-point Intervals, pp. 141-153, July, 2016.
- Louis B. Rall, Interval Divided-Difference Arithmetic, pp. 154-162, July, 2016.
- Alexandre Goldsztejn and Daisuke Ishii, A Parallelotope Method for Hybrid System Simulation, pp. 163-185, July, 2016.

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