Edit Profile (opens in new tab) Luther, Wolfram Jérôme Co-Author Distance Author ID: luther.wolfram-jerome Published as: Luther, Wolfram; Luther, W. J.; Luther, Wolfram J.; Luther, W.; Luther, Wolfram Jérôme more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 53 Publications since 1975, including 4 Books 3 Contributions as Editor Reviewing Activity: 58 Reviews Co-Authors: 34 Co-Authors with 43 Joint Publications 692 Co-Co-Authors all top 5 Co-Authors 11 single-authored 13 Otten, Werner 11 Dyllong, Eva 5 Auer, Ekaterina 4 Boese, Fritz G. 3 Fausten, Daniela 3 Traczinski, Holger 2 Baloian, Nelson 2 Haßlinger, Gerhard 2 Hofer, Eberhard P. 2 Rauh, Andreas 1 Alt, René 1 Berges, Alexander 1 Bingham, Nicholas Hugh 1 Boese, Günter 1 Bühler, Katja 1 Buschmann, Stephan 1 Frommer, Andreas 1 Gaßner, Katrin 1 Hardings, Jens 1 Hertling, Peter H. 1 Hoffmann, Christoph M. 1 Hoppe, Heinz Ulrich 1 Jander, Achim 1 Kaufmann, Franz-Josef 1 Kearfott, Baker 1 Kempken, Sebastian 1 Kreinovich, Vladik Yakovlevich 1 Niederdrenk, Klaus 1 Ohsmann, Martin 1 Popova, Evgeniya D. 1 Rebner, Gabor 1 Reutter, Fritz 1 Revol, Nathalie 1 Scholt, Torsten 1 Traczinski, Daniela 1 Yserentant, Harry all top 5 Serials 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Numerical Algorithms 3 Reliable Computing 2 Journal of Mathematical Analysis and Applications 2 Archiv der Mathematik 2 BIT 2 Computing 2 Journal of Computational and Applied Mathematics 2 Interval Computations 2 International Journal of Applied Mathematics and Computer Science 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Lecture Notes in Computer Science 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Applicable Analysis 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 IEEE Transactions on Automatic Control 1 Journal of Approximation Theory 1 Analysis 1 Multidimensional Systems and Signal Processing 1 SIAM Journal on Mathematical Analysis 1 Soft Computing 1 Journal of Universal Computer Science 1 Stochastic Models all top 5 Fields 31 Numerical analysis (65-XX) 10 Sequences, series, summability (40-XX) 9 Computer science (68-XX) 7 Special functions (33-XX) 7 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 4 Operations research, mathematical programming (90-XX) 3 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 87 times in 77 Documents Cited by ▼ Year ▼ The differentiability of Fourier gap series and “Riemann’s example” of a continuous, nondifferentiable function. Zbl 0626.42008 Luther, Wolfram 15 1986 Validated modeling of mechanical systems with SmartMOBILE: Improvement of performance by ValEncIA-IVP. Zbl 1165.65307 Auer, Ekaterina; Rauh, Andreas; Hofer, Eberhard P.; Luther, Wolfram 11 2008 Verified calculation of the solution of algebraic Riccati equation. Zbl 0951.65040 Luther, Wolfram; Otten, Werner 10 1999 A note on a classical bound for the moduli of all zeros of a polynomial. Zbl 0693.93064 Boese, F. G.; Luther, W. J. 7 1989 Reliable computation of elliptic functions. Zbl 0965.65046 Luther, Wolfram; Otten, Werner 4 1998 Degree of convergence of Birkhoff series, direct and inverse theorems. Zbl 0813.34070 Kaufmann, F. J.; Luther, W. J. 4 1994 Taubersche Restgliedsaetze für eine Klasse von Fourierkernen. Zbl 0499.40002 Luther, Wolfram 3 1980 Abelian and Tauberian theorems for a class of integral transforms. Zbl 0523.44002 Luther, Wolfram 3 1983 An accurate computation of the distance between a point and a polyhedron. Zbl 0960.65075 Dyllong, E.; Luther, W. 3 2000 Enclosure of the zero set of polynomials in several complex variables. Zbl 1020.12002 Boese, F. G.; Luther, W. J. 3 2001 Reliable distance and intersection computation using finite precision geometry. Zbl 1126.65312 Bühler, Katja; Dyllong, Eva; Luther, Wolfram 2 2004 Numerical verification and validation of kinematics and dynamical models for flexible robots in complex environments. Zbl 1011.70006 Luther, Wolfram; Dyllong, Eva; Fausten, Daniela; Otten, Werner; Traczinski, Holger 2 2001 Numerical software with result verification. International Dagstuhl seminar, Dagstuhl Castle, Germany, January 19–24, 2003. Revised papers. Zbl 1046.65001 2 2004 Polynomial factorization for servers with semi-Markovian workload: Performance and numerical aspects of a verified solution technique. Zbl 1075.65068 Traczinski, Daniela; Luther, Wolfram; Haßlinger, Gerhard 2 2005 A Tauberian remainder theorem for the Hankel transform. Zbl 0392.44002 Luther, Wolfram 2 1978 An accurate distance algorithm for octree-encoded objects. Zbl 1354.93098 Dyllong, Eva; Luther, Wolfram 2 2004 SmartMOBILE and its applications to guaranteed modeling and simulation of mechanical systems. Zbl 1188.93053 Auer, Ekaterina; Luther, Wolfram 1 2009 Computation of standard interval functions in multiple-precision interval arithmetic. Zbl 0831.65019 Luther, Wolfram; Otten, Werner 1 1994 Numerical treatment of the first-order PLL equation with sinusoidal phase detector characteristic. Zbl 0841.34028 Luther, W. J.; Otten, W. 1 1994 A verified realization of a Dempster-Shafer based fault tree analysis. Zbl 1238.65038 Rebner, Gabor; Auer, Ekaterina; Luther, Wolfram 1 2012 The convergence rate of continued fractions representing solutions of a Riccati equation. Zbl 1137.65024 Luther, Wolfram 1 2007 Verified convex hull and distance computation for octree-encoded objects. Zbl 1108.65013 Dyllong, Eva; Luther, Wolfram 1 2007 The GJK distance algorithm: an interval version for incremental motions. Zbl 1087.68117 Dyllong, Eva; Luther, Wolfram 1 2004 Accurate computation of traffic workload distributions. Zbl 1114.90018 Fausten, Daniela; Luther, Wolfram; Haßlinger, Gerhard 1 2004 The complex arithmetic-geometric mean and multiple-precision matrix functions. Zbl 0848.65003 Luther, Wolfram; Otten, Werner 1 1996 An accurate distance-calculation algorithm for convex polyhedra. Zbl 0947.65019 Dyllong, Eva; Luther, Wolfram; Otten, Werner 1 1999 Accurate enclosure of the zero set of multivariate polynomials. Zbl 1041.65039 Boese, Fritz G.; Luther, Wolfram J. 1 2003 Reliable implementation of real number algorithms: Theory and practice. International seminar, Dagstuhl Castle, Germany, January 8–13, 2006. Revised papers. Zbl 1152.65006 1 2008 Computer graphics and image processing. (Computergraphik und Bildverarbeitung. Unter Mitarbeit von Martin Ohsmann. Incl. 1 CD-ROM.) Zbl 0883.68115 Jander, Achim; Luther, Wolfram; Otten, Werner 1 1996 Approximation error and error accumulation for the Landen transform. Zbl 0886.65016 Luther, Wolfram; Otten, Werner 1 1997 Über das asymptotische Verhalten der trigonometrischen und Hankelschen Integraltransformation. Zbl 0383.44001 Luther, Wolfram 1 1977 Verified inclusion for eigenvalues of the first order PLL equation with general phase detector characteristics. Zbl 0817.65068 Luther, W. J.; Otten, W. 1 1994 A verified realization of a Dempster-Shafer based fault tree analysis. Zbl 1238.65038 Rebner, Gabor; Auer, Ekaterina; Luther, Wolfram 1 2012 SmartMOBILE and its applications to guaranteed modeling and simulation of mechanical systems. Zbl 1188.93053 Auer, Ekaterina; Luther, Wolfram 1 2009 Validated modeling of mechanical systems with SmartMOBILE: Improvement of performance by ValEncIA-IVP. Zbl 1165.65307 Auer, Ekaterina; Rauh, Andreas; Hofer, Eberhard P.; Luther, Wolfram 11 2008 Reliable implementation of real number algorithms: Theory and practice. International seminar, Dagstuhl Castle, Germany, January 8–13, 2006. Revised papers. Zbl 1152.65006 1 2008 The convergence rate of continued fractions representing solutions of a Riccati equation. Zbl 1137.65024 Luther, Wolfram 1 2007 Verified convex hull and distance computation for octree-encoded objects. Zbl 1108.65013 Dyllong, Eva; Luther, Wolfram 1 2007 Polynomial factorization for servers with semi-Markovian workload: Performance and numerical aspects of a verified solution technique. Zbl 1075.65068 Traczinski, Daniela; Luther, Wolfram; Haßlinger, Gerhard 2 2005 Reliable distance and intersection computation using finite precision geometry. Zbl 1126.65312 Bühler, Katja; Dyllong, Eva; Luther, Wolfram 2 2004 Numerical software with result verification. International Dagstuhl seminar, Dagstuhl Castle, Germany, January 19–24, 2003. Revised papers. Zbl 1046.65001 2 2004 An accurate distance algorithm for octree-encoded objects. Zbl 1354.93098 Dyllong, Eva; Luther, Wolfram 2 2004 The GJK distance algorithm: an interval version for incremental motions. Zbl 1087.68117 Dyllong, Eva; Luther, Wolfram 1 2004 Accurate computation of traffic workload distributions. Zbl 1114.90018 Fausten, Daniela; Luther, Wolfram; Haßlinger, Gerhard 1 2004 Accurate enclosure of the zero set of multivariate polynomials. Zbl 1041.65039 Boese, Fritz G.; Luther, Wolfram J. 1 2003 Enclosure of the zero set of polynomials in several complex variables. Zbl 1020.12002 Boese, F. G.; Luther, W. J. 3 2001 Numerical verification and validation of kinematics and dynamical models for flexible robots in complex environments. Zbl 1011.70006 Luther, Wolfram; Dyllong, Eva; Fausten, Daniela; Otten, Werner; Traczinski, Holger 2 2001 An accurate computation of the distance between a point and a polyhedron. Zbl 0960.65075 Dyllong, E.; Luther, W. 3 2000 Verified calculation of the solution of algebraic Riccati equation. Zbl 0951.65040 Luther, Wolfram; Otten, Werner 10 1999 An accurate distance-calculation algorithm for convex polyhedra. Zbl 0947.65019 Dyllong, Eva; Luther, Wolfram; Otten, Werner 1 1999 Reliable computation of elliptic functions. Zbl 0965.65046 Luther, Wolfram; Otten, Werner 4 1998 Approximation error and error accumulation for the Landen transform. Zbl 0886.65016 Luther, Wolfram; Otten, Werner 1 1997 The complex arithmetic-geometric mean and multiple-precision matrix functions. Zbl 0848.65003 Luther, Wolfram; Otten, Werner 1 1996 Computer graphics and image processing. (Computergraphik und Bildverarbeitung. Unter Mitarbeit von Martin Ohsmann. Incl. 1 CD-ROM.) Zbl 0883.68115 Jander, Achim; Luther, Wolfram; Otten, Werner 1 1996 Degree of convergence of Birkhoff series, direct and inverse theorems. Zbl 0813.34070 Kaufmann, F. J.; Luther, W. J. 4 1994 Computation of standard interval functions in multiple-precision interval arithmetic. Zbl 0831.65019 Luther, Wolfram; Otten, Werner 1 1994 Numerical treatment of the first-order PLL equation with sinusoidal phase detector characteristic. Zbl 0841.34028 Luther, W. J.; Otten, W. 1 1994 Verified inclusion for eigenvalues of the first order PLL equation with general phase detector characteristics. Zbl 0817.65068 Luther, W. J.; Otten, W. 1 1994 A note on a classical bound for the moduli of all zeros of a polynomial. Zbl 0693.93064 Boese, F. G.; Luther, W. J. 7 1989 The differentiability of Fourier gap series and “Riemann’s example” of a continuous, nondifferentiable function. Zbl 0626.42008 Luther, Wolfram 15 1986 Abelian and Tauberian theorems for a class of integral transforms. Zbl 0523.44002 Luther, Wolfram 3 1983 Taubersche Restgliedsaetze für eine Klasse von Fourierkernen. Zbl 0499.40002 Luther, Wolfram 3 1980 A Tauberian remainder theorem for the Hankel transform. Zbl 0392.44002 Luther, Wolfram 2 1978 Über das asymptotische Verhalten der trigonometrischen und Hankelschen Integraltransformation. Zbl 0383.44001 Luther, Wolfram 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 90 Authors 13 Luther, Wolfram Jérôme 9 Rauh, Andreas 8 Miyajima, Shinya 7 Auer, Ekaterina 6 Aschemann, Harald 4 Dyllong, Eva 3 Hofer, Eberhard P. 3 Minisini, Johanna 2 Boese, Fritz G. 2 Das, Subhasis 2 Kairies, Hans-Heinrich 2 Kletting, Marco 2 Melman, Aaron 2 Otten, Werner 2 Rebner, Gabor 2 Traczinski, Holger 1 Afanasiev, V. O. 1 Agadzhanov, A. N. 1 Antezana, Jorge 1 Antritter, Felix 1 Arendt, Luis P. 1 Bastin, Françoise 1 Beer, Michael A. 1 Bingham, Nicholas Hugh 1 Brill, Michael H. 1 Carando, Daniel G. 1 Cardoso, João R. 1 Chakhkiev, Magomed A. 1 Chamizo Lorente, Fernando 1 Coombs, William M. 1 Diamond, Phil 1 Do Carmo, Andriele 1 Drekic, Steve 1 Eceizabarrena, Daniel 1 Fang, Xiongbing 1 Fausten, Daniela 1 Foufou, Sebti 1 Fukushima, Toshio 1 Gerver, Joseph L. 1 Ghaffari Motlagh, Yousef 1 Grassmann, Winfried 1 Günther, Clemens 1 Haqiri, Tayyebe 1 Haßlinger, Gerhard 1 Hölbig, Carlos Amaral 1 Hörsken, Christian 1 Hu, Lian 1 Johnsen, Jon 1 Kanemitsu, Shigeru 1 Karcanias, Nicos 1 Kempken, Sebastian 1 Kersten, Julia 1 Kiel, Stefan 1 Krämer, Walter 1 Krasnochtanova, Irina 1 Kutsenko, Anton A. 1 Kwaśnicki, Mateusz 1 Labrande, Hugo 1 Laszkiewicz, Beata 1 Li, Ke 1 Liang, Jin 1 Löffler, Maarten 1 Ma, Jing 1 Melkemi, Kamal Eddine 1 Michelucci, Dominique 1 Mokhtari, Bilal 1 Nicolay, Samuel 1 Oskolkov, Konstantin Ilyich 1 Patkowski, Alexander Eric 1 Petit, Oscar A. 1 Poloni, Federico Giovanni 1 Ralha, Rui 1 Rivoal, Tanguy 1 Schoop, Karl-Michael 1 Scotti, Melisa 1 Senkel, Luise 1 Seuret, Stéphane 1 Simons, Laurent 1 Snoeyink, Jack Scott 1 Stein, Matthias 1 Sun, Yeong-Jeu 1 Tam, Hon-yuen 1 Tanigawa, Yoshio 1 Traczinski, Daniela 1 Ubis, Adrián 1 Ullrich, Peter 1 Westphal, Ramona 1 Wu, Xiaofeng 1 Xu, Haiyin 1 Ziętak, Krystyna all top 5 Cited in 50 Serials 5 Computing 5 Journal of Computational and Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Japan Journal of Industrial and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Archiv der Mathematik 2 Journal of Computer and Systems Sciences International 2 Computational and Applied Mathematics 2 International Journal of Applied Mathematics and Computer Science 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Programming and Computer Software 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Geometry 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Applied and Computational Harmonic Analysis 1 Reliable Computing 1 The Journal of Fourier Analysis and Applications 1 Doklady Mathematics 1 Soft Computing 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Analysis (München) 1 Methodology and Computing in Applied Probability 1 La Gaceta de la Real Sociedad Matemática Española 1 Stochastic Models 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics in Computer Science 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal all top 5 Cited in 29 Fields 42 Numerical analysis (65-XX) 13 Systems theory; control (93-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 9 Real functions (26-XX) 8 Functions of a complex variable (30-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Sequences, series, summability (40-XX) 5 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Computer science (68-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 2 Field theory and polynomials (12-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.