Ramm, Alexander G.- Department of Mathematics, Kansas State University

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• Physics Letters A 360 (2007) 735741 www.elsevier.com/locate/pla
• Spectral and scattering theory, Plenum Publishing Corp., New York, 1998, pp.111-130 (ed.A.G.Ramm) RECOVERY OF COMPACTLY SUPPORTED SPHERICALLY SYMMETRIC
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• March 8, 2010 17:53 WSPC 577 Asian European Journal of Mathematics (AEJM), Vol.3, N1, (2010), 57-105.
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• Comp.Math. with Appl.,21,N8,(1991),8591 Finding Conductivity From Surface Measurements
• Finding discontinuities of piecewisesmooth functions Mathematics Department, Kansas State University,
• A.G.Ramm, Dynamical Systems Method for solving nonlinear operator Intern Journ. Appl Math Sci., 1, (2004), 97110.
• Phys. Lett A368, N12, (2007), 164172. Wave scattering by small impedance particles in a
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• In the book: Inverse problems, tomography and image processing, Plenum publishers, New York, 1998, pp. 1-8 (ed. A.G.Ramm).
• Reconstruction of the potential from I-function. Mathematics Department, Kansas State University,
• European Phys. Lett., 80, (2007), 44001. A. G. Ramm, "Scattering by many small bodies and applications to con-
• Applicable Analysis, 78, N1-2, (2001), 207-217. PIECEWISE-CONSTANT POSITIVE POTENTIALS WITH PRACTICALLY
• On the DSM version of Newton's method Mathematics Department, Kansas State University,
• Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction
• Internat. Journ. Tomogr and Statist., 8, (2008), 25-31. Distribution of particles creating "smart" material
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• Existence of a solution to a nonlinear equation Mathematics Department, Kansas State University,
• Proc Roy Soc Edinburgh, 123, N6, (1993) 973976 AN INVERSE PROBLEM FOR THE HEAT EQUATION
• Numerical Funct. Anal. and Optimization, 20, N3, (1999), 317-332. A NUMERICAL METHOD FOR SOLVING NONLINEAR
• Appl.Math.lett. 5,N3,(1992),77-80 FILTERED BACK PROJECTION METHOD FOR
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• Inverse Problems 2 (1986) L55-L59. Printed in Great Britain LETTER TO THE EDITOR
• MATHEMATICS OF COMPUTATION Volume 00, Number 0, Xxxx XXXX, Pages 000000
• An inverse problem for Helmholtz's equation II This article has been downloaded from IOPscience. Please scroll down to see the full text article.
• Acta Appl Math (2010) 111: 189204 DOI 10.1007/s10440-009-9540-3
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• Numerical Solution of Many-Body Wave Scattering Problem for Small Particles and
• Math. Inequalities and Applic. 1, N1, (1998), pp.99-104. FUNDAMENTAL SOLUTIONS TO SOME ELLIPTIC
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• International Jour. of Diff. Eq. and Appl., 3, N1, (2001), 31-37. New proof of Weyl's theorem
• Digital Object Identifier (DOI) 10.1007/s10231-002-0054-0 Annali di Matematica (2002)
• POLONICI MATHEMATICI 90.2 (2007)
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• Inverse Problems in Science and Engineering 2009, 114, iFirst
• A.G.Ramm, Amer. Math. Monthly, 113, N10, (2006), 928-933 Dynamical Systems Method and a Homeomorphism
• Scattering by many small inhomogeneities and applications
• Annal. Polon. Mathem., 92, N1, (2007), 49-54 A symmetry problem
• Electromagnetic Wave Scattering by a Small Impedance Particle of Arbitrary Shape
• corrected version of the paper Compt. Rendus Acad. Sci., 330, (2002), 199-205. Recovery of small inhomogeneities from partial boundary
• In the book ''Operator theory and Applications'', Fields Institute Communications vol. 25, AMS, Providence, 2000, pp.441456. (Ed.A.G.Ramm,P.N.Shivakumar, A.V.Strauss).
• Internat. Journ. of Appl. Math. Sci., 2, N1, (2005), 1121. Numerical Method for Solving Obstacle Scattering
• Illposed problems with unbounded operators Mathematics Department, Kansas State University,
• NEW METHODS FOR FINDING VALUES OF THE JUMPS OF A FUNCTION FROM ITS LOCAL TOMOGRAPHIC DATA
• Ann. Polon. Math., 90, N2, (2007), 145-148. Invisible obstacles
• COMMUN. MATH. SCI. c 2009 International Press Vol. 7, No. 4, pp. 10731079
• Int. J. Appl. Math. Sci. Vol. 1(2004), pp. 97-110 c GBS Publishers & Distributors India
• POLONICI MATHEMATICI 96.1 (2009)
• An iterative method for solving Fredholm integral equations of the first kind
• Doctopic: Condensed matter ARTICLE IN PRESS PLA:18239 Please cite this article in press as: A.G. Ramm, Does negative refraction make a perfect lens?, Physics Letters A (2008), doi:10.1016/j.physleta.2008.09.003
• Internat. Jour. of Appl. Math, vol. 2, N5, (2000), pp.625-634. A Uniqueness Result for the Inverse Transmission Problem,
• Physics letters A, 347, N4-6, (2005), 157-159. UNIQUENESS OF THE SOLUTION TO INVERSE OBSTACLE SCATTERING
• ARTICLE IN PRESS Applied Mathematics Letters ( )
• SOME NONLINEAR INEQUALITIES AND APPLICATIONS N. S. HOANG AND A. G. RAMM
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• Appl. Math. Lett., 21, (2008), 377-382 doi:10.1016/j.aml.2007.05.007
• CURRICULUM VITAE of A.G. RAMM NAME: Alexander G. Ramm, Professor
• Wave scattering by small bodies of arbitrary shapes. Alexander G.Ramm
• Inverse Problems l(1985) 133-172. Printed in Great Britain Some inverse scattering problems of geophysics
• Inverse Problems 2 (1986) L43-L46. Printed in Great Britain LETTER TO THE EDITOR
• Inverse Problems 3 (1987) L19-L22. Printed in the UK LETTER TO THE EDITOR
• Inverse Problems 3 (1987) L33-L35. Printed in the UK LETTER TO THE EDITOR
• JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 125, 267-271 (1987) Signal Estimation from Incomplete Data
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• Necessary and sufficient conditions on the scattering data for the potential to be in L Schrodinger operator on the half-line
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• JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 134, 21l-253 (1988) Multidimensional inverse Problems and
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• Appl. Math. Lett. Vol. 3. No. 1, pp. 57-60, 1990 Printed in Great Britain. All rights reserved
• Stability of the numerical method of solving the 3D inverse scattering problem with fixed-energy data
• Dissipative Maxwell's Equations at Low Frequencies
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• Appl.Math.Lett 5,N5,(1992),87-88 A three-dimensional
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• Proc Roy Soc Edinburgh, 123, N6, (1993) 973-976 AN INVERSE PROBLEM FOR THE HEAT EQUATION
• Math.Comp.Modelling, 18,N1,(1993),57-64. Special issue; Multidimensional Inverse Problems and Mathematical Problems
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• Physics A, 27, (1994), 6157-6166 STABILITY ESTIMATE IN SCATTERING
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• CONSISTENCY OF A RANK TEST AGAINST GENERAL ALTERNATIVES OF CHANGE POINTS
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• Phys. Lett A, 242, N4-5, (1998), 215-219. COMPACTLY SUPPORTED SPHERICALLY SYMMETRIC
• Jour. of Inverse and Ill-Posed Problems, 6, N6, (1998), 619-624. THEORY OF GROUND-PENETRATING RADARS II
• Math. Inequalities and Appl., 1, N4, (1998), 559-563. INEQUALITIES FOR THE MINIMAL EIGENVALUE
• CALCULATION OF WAVES SCATTERED IN IRREGULAR WAVEGUIDES A. G. Ramm, N. N. Voitovich, Yu.P.Topolyuk, and N. I. Zdeoruk
• Mathematical Models and Methods in Applied Sciences fc World Scientific Publishing Company
• Numerical Funct. Anal. and Optimization, 20, N3, (1999), 317-332. A NUMERICAL METHOD FOR SOLVING NONLINEAR
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• In the book "Operator theory and Applications", Fields Institute Communications vol. 25, AMS, Providence, 2000, pp.441-456. (Ed.A.G.Ramm, P.N.Shivakumar, A.V.Strauss).
• Fields Institute Communications Volume 00, 0000
• , 2000, . 5, 3, . 274-283 Alexander G. Ramm, Nikolai N. Voitovich, and Olga F. Zamorska, 2000
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• Singularities of the Radon transform, Applicable Analysis, 79, N3-4, (2001), 351-379. Singularities of the Radon Transform
• MATHEMATICS OF COMPUTATION Volume 00, Number 0, Xxxx XXXX, Pages 000000
• Jour. Math. Anal.Appl., 258, N1, (2001), 448-456. Linear ill-posed problems and dynamical
• thus an+1 = (2n + 1)an/2(n + 1). We know that a0 = , and the remaining part follows by induction.
• AN INVERSE PROBLEM FOR AN ABSTRACT EVOLUTION A. G. RAMM, S. V. KOSHKIN
• A.G.Ramm, Stability of the solution to 3D inverse scattering problems with fixed-energy data, Milan Journ of Mathemat., 70, (2002), 97-161.
• Intern. Jour. of Pure and Appl. Math., 2, N1, (2002), 23-34. Continuous regularized Gauss-Newton-type algorithm for nonlinear
• Regularization of Ill-Posed Problems with Unbounded Operators, J.Math.Anal.Appl., 271, (2002), 547-550.
• A.G.Ramm, Numerically efficient version of the T-matrix method, Applicable Anal-ysis, 80, N3, (2002), 385-393.
• This paper is dedicated to Professor M. I. Yadrenko for his 70-th birthday A.G.Ramm, Estimation of random fields, Theory of Probability and Math. Statistics, 66, (2002),
• corrected version of the paper Compt. Rendus Acad. Sci., 330, (2002), 199-205. Recovery of small inhomogeneities from partial boundary
• J. Inv. Ill-Posed Problems, Vol. 10, No. 3, pp. 261280 (2002) Convergence rates of the continuous regularized
• J. KSIAM Vol.7, No.1, 47-61, 2003 STABLE NUMERICAL DIFFERENTIATION: WHEN IS IT
• Differential and Integral Equations Volume 16, Number 2, February 2003, Pages 231240 ANALYTICAL SOLUTION OF A NEW CLASS OF
• Acta Applicandae Math., 79, (2003), 281-326. Optimal with Respect to Accuracy Algorithms for Calculation of
• A.G.Ramm, Dynamical Systems Method for solving nonlinear operator Intern Journ. Appl Math Sci., 1, (2004), 97-110.
• Dynamical systems method for solving operator equations A.G. Ramm *
• Internat. Journ. of Appl. Math. Sci., , N1, (2004), 55-66 MODIFIED RAYLEIGH CONJECTURE FOR SCATTERING BY
• Int. J. Appl. Math. Sci. Vol. 1(2004), pp. 55-66 c GBS Publishers & Distributors India
• Intern Journ. Pure and Appl Math., 1, N1, (2004), 1-5. Continuity of solutions to operator equations with
• Int. J. Pure & Appl. Math. Sci. Vol. 1(2004), pp. 1-5 c GBS Publishers & Distributors India
• In the book: Ten Mathematical Essays on Approximation in Analysis and Topology, Elsevier, Boston, 2005, pp.245-262 (Eds J.Perrera, J.Lopez-Gomez, F. Ruiz del Portal).
• Journ. of Ineq. in Pure and Appl. Math., 6, N5, (2005) Necessary and sufficient condition for compactness of
• A.G.Ramm, Determination of the shape of the ear canal, Math. Sci. Res. Journ., 9(6), (2005),139-141.
• Intern. Jour. of Pure and Appl. Math., (IJPAM), vol. 20, No. 3, (2005), 405-427. Integral Operators Basic in Random Fields
• In the book: Continuous Optimization: Current Trends and Modern Applica-tions, Springer, New York, 2005. (Editors: V. Jeyakumar and A. M. Rubinov).
• A.G.Ramm, Modified Rayleigh Conjecture for static problems, Appl. Math. Lett., 18, N12, (2005), 1396-1399.
• Internat. Journ. of Appl. Math. Sci., 2, N1, (2005), 11-21. Numerical Method for Solving Obstacle Scattering
• Integr. equ. oper. theory 99 (9999) 00 0378-620X/99000-0 $ 1.50+0.20/0
• Integr. equ. oper. theory Online First c 2005 Birkhauser Verlag Basel/Switzerland
• February 6, 2006 11:23 WSPC/Trim Size: 9in x 6in for Proceedings 485 In the book: Spectral Theory and Nonlinear Analysis, World Sci. Pub-
• JAFA, Journ. of Functional Analysis and Appl., 1, N2, (2006), 223-236. Modified Rayleigh Conjecture Method with
• Journal of Inequalities in Pure and Applied Mathematics
• Nonlinear Funct. Anal. & Appl., Vol. 11, No. 4 (2006), pp. 655658 COMPACTNESS OF EMBEDDINGS
• This article was originally published in a journal published by Elsevier, and the attached copy is provided by Elsevier for the
• Dynamical systems method (DSM) for selfadjoint Mathematics Department, Kansas State University,
• A.G.Ramm, Two results on ill-posed problems, Internat. Jour.Appl.Math. Statist., 11, N7, (2007), 136-139.
• Communications in Nonlinear Sci. and Numer. Simulation, 12, (2007), 865-868. Inverse problems for parabolic equations 2
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• Scattering by many small bodies and applications to condensed matter physics
• Many-body scattering by small bodies and applications J.Math. Phys., 48, N10, (2007), 103511.
• Many-body wave scattering by small bodies and applications
• ARTICLE IN PRESS Nonlinear Analysis ( )
• Phys. Lett. A367, (2007), 156-161. doi:10.1016/j.physleta.2007.02.076
• Phys. Lett A368, N1-2, (2007), 164-172. Wave scattering by small impedance particles in a
• Phys. B, 394 (2007), 253-255. Distribution of particles which produces a
• CREATING WAVE-FOCUSING MATERIALS Department of Mathematics
• This article was published in an Elsevier journal. The attached copy is furnished to the author for non-commercial research and
• CREATING WAVE-FOCUSING MATERIALS Department of Mathematics
• Inverse Problems in Science and Engineering Vol. xx, No. xx, xxxx xxxx, 113
• Modified Rayleigh Conjecture Method and Its Applications
• Nonlinear Analysis: Theory, Metods and Applications, 69, N7, (2008), 1934-1940. doi:10.1016/j.na.2007.07.034
• Fixed-energy inverse scattering Mathematics Department, Kansas State University,
• ARTICLE IN PRESS Nonlinear Analysis ( )
• Doctopic: Condensed matter ARTICLE IN PRESS PLA:17463 Please cite this article in press as: A.G. Ramm, A recipe for making materials with negative refraction in acoustics, Physics Letters A (2007),
• Phys. Lett. A, 372/23, (2008), 4298-4306. Electromagnetic wave scattering by small bodies
• Doctopic: Condensed matter ARTICLE IN PRESS PLA:17759 Please cite this article in press as: A.G. Ramm, Electromagnetic wave scattering by small bodies, Physics Letters A (2008), doi:10.1016/j.physleta.2008.03.010
• Phys. Lett. A, 372/17, (2008), 3064-3070. Wave scattering by many small particles
• Creating materials with desired properties 1. Introduction
• Mathematisches Forschungsinstitut Oberwolfach Report No. 58/2007
• BIT Numerical Mathematics (2008) c Springer 2008
• BIT Numerical Mathematics (2008) 48: 725741 Published online: 27 November 2008 c Springer 2008
• POLONICI MATHEMATICI 95.1 (2009)
• An inverse problem for a heat equation with piecewise-constant thermal conductivity
• Ann. Polon. Math., 95, N2, (2009), 135-139. A DSM proof of surjectivity of monotone
• The Australian Journal of Mathematical Analysis and Applications
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• Acta Appl.Math., 106, N3, (2009), 473-499. Dynamical Systems Gradient method for solving nonlinear equations with monotone
• Acta Appl Math DOI 10.1007/s10440-008-9308-1
• D ifferential & Applications
• BULLETIN OF THE POLISH ACADEMY OF SCIENCES
• ARTICLE IN PRESS Nonlinear Analysis ( )
• Bull. Polish Acad. Sci, 57, N1, (2009), 25-31. Attractors of strongly dissipative systems
• Invariant manifolds for dissipative systems A. G. Ramma
• Nonlinear Analysis 71 (2009) 27442752 Contents lists available at ScienceDirect
• DIPED-2009 Proceedings 77 NUMERICAL SOLUTION OF MANY-BODY WAVE SCATTERING
• International Journal of Pure and Applied Mathematics Volume 55 No. 4 2009, 7-11
• Doctopic: Condensed matter ARTICLE IN PRESS PLA:18955 Please cite this article in press as: A.G. Ramm, Physics Letters A (2009), doi:10.1016/j.physleta.2009.06.033
• Internat. Journ of Comut.Sci. and Mathem., 3, N2, (2009), 222-228. Prof. Alexander G. Ramm is an author of more than 560 papers, 2 patents, 12 mono-
• Int. J. Computing Science and Mathematics, Vol. A collocation method for solving integral
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• How To Prepare Materials With a Desired Refraction Coefficient
• Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences
• Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences
• Journ. of Abstract Diff. Equations and Applications (JADEA), 1, N1, (2010), pp.27-34. Journal of Abstract Differential Equations and Applications
• proceedings of ISCMII and EPMESCXII,AIP Conference proceedings, 1233, (2010), pp.165-168.
• MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000000
• J.Appl.Math and Informatics, 28, N3-4, (2010), 551-561. INVERSE PROBLEM FOR A HEAT EQUATION WITH
• ARTICLE IN PRESS YJMAA:14794 Please cite this article in press as: N.S. Hoang, A.G. Ramm, Dynamical Systems Method (DSM) for solving equations with monotone operators without
• 102 Int. J. Computing Science and Mathematics, Vol. 3, Nos. 1/2, 2010 Scattering by many small particles and creating
• Wave scattering by many small bodies and applications
• 76 Int. J. Computing Science and Mathematics, Vol. 3, Nos. 1/2, 2010 Creating materials with a desired refraction
• Alexander G. Ramm, Uniqueness theorem for inverse scattering problem with non-overdetermined data,
• Journ. COMP. Sci and Math., 3, N1/2, (2010), 3-55. N. S. Hoang and A. G. Ramm
• ARTICLE IN PRESS Journal of Computational and Applied Mathematics ( )
• Numerical Modeling in Wave Scattering Problem for Small Particles
• EURASIAN MATHEMATICAL JOURNAL ISSN 2077-9879
• International Journ Modern Phys B, 24, N24, (2010) A method for creating materials with a desired
• 2nd Reading November 9, 2010 12:19 WSPC/140-IJMPB 05607
• International Journal of Structural Changes in Solids (IJSCS), 2, N2, (2010), Materials with a desired refraction coefficient can
• Materials with a desired refraction coefficient can be created by embedding small particles into a given material
• Rev Roum Math Pure Appl., 55, N6, (2010), 515-519. A THEOREM ON ENTIRE FUNCTIONS
• RevisedProof DOI 10.1007/s13370-011-0004-3
• Plenary talk at the Chaos 2009 International Conference. In the book "Topics on Chaotic Systems: Selected Papers from Chaos 2009 Interna-
• Dynamical Systems Method (DSM) for solving nonlinear operator equations in Banach spaces
• Series that can be differentiated term-wise m times if the function is m-smooth
• Journ. Appl. Math and Comp. (JAMC) On the DSM Newton-type method
• JOURNAL OF MATHEMATICAL PHYSICS 52, 023519 (2011) Wave scattering by many small bodies and applications
• Chaotic Modeling and Simulation (2011) : -Stability of Solutions to Some Evolution
• Scattering of scalar waves by many small particles Department of Mathematics
• Symmetry problem Mathematics Department, Kansas State University,
• Results Phys (2011), doi:10.1016/j.rinp.2011.05.002 Scattering of electromagnetic waves by many thin
• Wave scattering by many small bodies A. G. Ramm3
• Encyclopedia of Mathematics, Supplemental Vol. 3, Kluwer Acad. Publishers, Dor-drecht, 2001, 295-296
• Encyclopedia of Mathematics, Supplemental Vol. 3, Kluwer Acad. Publishers, Dor-drecht, 2001, 207-208
• Encyclopedia of Mathematics, Supplemental Vol. 3, Kluwer Acad. Publishers, Dor-drecht, 2001, 310-311
• Encyclopedia of Mathematics, Supplemental Vol. 3, Kluwer Acad. Publishers, Dor-drecht, 2001, 329-331
• Math. and Comput. Modelling, 18, N1, (1993), 109-138. RECONSTRUCTING SINGULARITIES OF A FUNCTION
• CURRICULUM VITAE of A.G. RAMM NAME: Alexander G. Ramm, Professor
• Dynamical Systems Method for solving nonlinear operator equations #
• Fixedenergy inverse scattering Mathematics Department, Kansas State University,
• In the book: Ten Mathematical Essays on Approximation in Analysis and Topology, Elsevier, Boston, 2005, pp.245262 (Eds J.Perrera, J.LopezGomez, F. Ruiz del Portal).
• Nonlinear Funct. Anal. Appl., 8, N2, (2003), 307-312 On the discrepancy principle
• An inverse problem for the heat equation,JMAA,264,N2,(2001), 691697. An inverse problem for the heat equation
• CREATING WAVEFOCUSING MATERIALS Department of Mathematics
• Nonlinear Funct. Anal. & Appl., Vol. 6, No. 1 (2001), pp. 107123 SOME IDENTIFICATION PROBLEMS
• Physics Letters A 372 (2008) 30643070 www.elsevier.com/locate/pla
• Fields Institute Communications Volume 25, 00
• February 6, 2006 11:23 WSPC/Trim Size: 9in x 6in for Proceedings 485 In the book: Spectral Theory and Nonlinear Analysis, World Sci. Pub
• Nonlinear Functional Analysis and Applications, 9, N2, (2004), 233243. Inequalities for solutions to some nonlinear
• ACCELERATION OF CONVERGENCE A CONTINUOUS ANALOG OF THE NEWTON
• This is the paper published in Comptes Rendus Acad.Sci.Paris, 316, ser.1, pp.541545, (1993). ASYMPTOTIC BEHAVIOR OF THE FOURIER TRANSFORM
• Nonlinear Funct. Anal. & Appl., Vol. xx, No. xx (200x), pp. xx--xx COMPACTNESS OF EMBEDDINGS
• An inverse problem for the heat equation,JMAA,264,N2,(2001), 691-697. An inverse problem for the heat equation
• A nonlinear inequality, Journ. of Math. Ineq., 2, N4, (2008), 459-464. Email: nguyenhs@math.ksu.edu
• Mathematical Inequalities
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• thus an+1 = (2n + 1)an/2(n + 1). We know that a0 = , and the remaining part follows by induction.