Hans G. Kaper

Q: What Schools Are Affiliated With Hans G. Kaper

Hans G. Kaper is affiliated with the following schools: University of Twente, Georgetown University, University of Illinois Urbana-Champaign, University of Groningen

Hans G. Kaper's AcademicInfluence.com Rankings

Hans G. Kaper

Mathematics

#5829

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#8168

Historical Rank

Applied Mathematics

#220

World Rank

#242

Historical Rank

Measure Theory

#2210

World Rank

#2657

Historical Rank

mathematics Degrees

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Mathematics

Why Is Hans G. Kaper Influential?

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According to Wikipedia, Hans Gerard Kaper is a Dutch-American mathematician who worked for many years at Argonne National Laboratory until his retirement in 2008. He continues to hold adjunct professorships in mathematics and statistics at Georgetown University and in music at the University of Illinois at Urbana–Champaign, where he has been a long-term collaborator on the UIUC Computer Music Project.

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Hans G. Kaper's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Mathematical theory of transport processes in gases (1972) (1212)
Sonification Report: Status of the Field and Research Agenda Prepared for the National Science Foundation by members of the International Community for Auditory Display (1999) (400)
Numerical Simulation of Vortex Dynamics in Type-II Superconductors (1996) (209)
Spectral Methods in Linear Transport Theory (1982) (173)
Asymptotic analysis of two reduction methods for systems of chemical reactions (2001) (167)
Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics (2004) (144)
Inhibition of adhesion of yeasts and bacteria by poly(ethylene oxide)-brushes on glass in a parallel plate flow chamber. (2003) (143)
On the bounded solutions of a nonlinear convolution equation (1978) (131)
Asymptotic and numerical methods for partial differential equations with critical parameters (1993) (123)
Bifurcation of Pulsating and Spinning Reaction Fronts in Condensed Two-Phase Combustion (1984) (96)
Magnetic normal modes in ferromagnetic nanoparticles: A dynamical matrix approach (2004) (96)
Fast and Slow Dynamics for the Computational Singular Perturbation Method (2004) (86)
Characterization of poly(ethylene oxide) brushes on glass surfaces and adhesion of Staphylococcus epidermidis (2003) (81)
Mathematics and Climate (2013) (71)
Data sonification and sound visualization (1999) (66)
Normal modes of spin excitations in magnetic nanoparticles (2004) (61)
Mobile and immobile adhesion of staphylococcal strains to hydrophilic and hydrophobic surfaces. (2009) (58)
Existence theorems for second order boundary value problems (1991) (53)
Simultaneous interaction of bacteria and tissue cells with photocatalytically activated, anodized titanium surfaces. (2014) (45)
Quenching for semilinear singular parabolic problems (1989) (41)
Staphylococcus aureus-Fibronectin Interactions with and without Fibronectin-Binding Proteins and Their Role in Adhesion and Desorption (2008) (41)
Numerical evaluation of the slab albedo problem solution in one-speed anisotropic transport theory☆ (1970) (41)
Elementary Solutions of the Reduced Three‐Dimensional Transport Equation (1969) (40)
Dynamics of the Ginzburg-Landau equations of superconductivity (1997) (38)
The Initial-Value Transport Problem for Monoenergetic Neutrons in an Infinite Slab with Delayed Neutron Production (1967) (37)
Two perspectives on reduction of ordinary differential equations (2005) (35)
Benchmark Values for the Slab and Sphere Criticality Problem in One-Group Neutron Transport Theory (1974) (33)
Numerical simulations of driven vortex systems (2000) (33)
Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems (1995) (32)
Time-dependent Ginzburg-Landau simulations of vortex guidance by twin boundaries (1995) (32)
Vortex configurations in type-II superconducting films (1995) (31)
An in vitro study of cartilage-meniscus tribology to understand the changes caused by a meniscus implant. (2017) (30)
Nanoscopic vibrations of bacteria with different cell-wall properties adhering to surfaces under flow and static conditions. (2014) (30)
Full- and partial-range eigenfunction expansions for Sturm-Liouville problems with indefinite weights (1984) (29)
Free boundary problems for Emden-Fowler equations (1990) (29)
Symmetry results for reaction-diffusion equations (1993) (29)
Dynamic origin of stripe domains (2006) (27)
Spin-wave modes in a cobalt square vortex: Micromagnetic simulations (2006) (26)
On Nonadiabatic Condensed Phase Combustion (1987) (26)
COLLOCATION METHODS FOR INTEGRO-DIFFERENTIAL EQUATIONS* (1977) (24)
Oscillation of linear second-order differential systems (1984) (23)
Characterizations of the Friedrichs extensions of singular Strum Liouville expressions (1986) (22)
Residence time dependent desorption of Staphylococcus epidermidis from hydrophobic and hydrophilic substrata. (2008) (22)
Oscillation of two-dimensional linear second-order differential systems☆ (1985) (22)
Uniqueness of non-negative solutions of a class of semi-linear elliptic equations (1988) (22)
Hysteresis in layered spring magnets (2001) (21)
Gauges for the Ginzburg-Landau equations of superconductivity (1995) (20)
Initial value problems for the Carleman equation (1980) (20)
Dynamical systems analysis of the Maasch–Saltzman model for glacial cycles (2017) (18)
A Timing Comparison Study for Some High Order Finite Element Approximation Procedures and a Low Order Finite Difference Approximation Procedure for the Numerical Solution of the Multigroup Neutron Diffusion Equation (1972) (18)
An ex vivo salivary lubrication system to mimic xerostomic conditions and to predict the lubricating properties of xerostomia relieving agents (2018) (18)
Ginzburg-Landau dynamics with a time-dependent magnetic field (1998) (18)
Asymptotic-Numerical Study of Supersensitivity for Generalized Burgers' Equations (1999) (17)
Implicit Integration of the Time-Dependent Ginzburg-Landau Equations of Superconductivity (1999) (17)
Geometry of the Computational Singular Perturbation Method (2015) (17)
Asymptotic Behavior of the Solution of the Integral Transport Equation in Slab Geometry (1977) (17)
Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials (1986) (16)
Interactions of semiflexible filaments and molecular motors. (2007) (16)
Nonlinear analysis of condensed-phase surface combustion (1990) (15)
Convergence of semigroups with an application to the carleman equation (1980) (14)
Dry mouth: saliva substitutes which adsorb and modify existing salivary condition films improve oral lubrication (2020) (14)
Linear stability analysis of cylindrical flames (1989) (14)
Manifold Compositions, Music Visualization, and Scientific Sonification In an Immersive Virtual-reality Environment (1998) (14)
In vitro leakage susceptibility of tracheoesophageal shunt prostheses in the absence and presence of a biofilm. (2005) (13)
Spin spring behavior in exchange coupled soft and high-coercivity hard ferromagnets (2000) (13)
Dynamical transitions of Turing patterns (2009) (13)
Tribological properties of microporous polydimethylsiloxane (PDMS) surfaces under physiological conditions. (2019) (13)
A bioinspired mucoadhesive restores lubrication of degraded cartilage through reestablishment of lamina splendens. (2020) (12)
A constructive approach to the solution of a class of boundary value problems of mixed type (1978) (12)
Influence of diamond crystal orientation on the interaction with biological matter (2020) (12)
Using MAPLE for the Analysis of Bifurcation Phenomena in Condensed-Phase Surface Combustion (1991) (12)
The behaviour of a mass-spring system provided with a discontinuous dynamic vibration absorber (1961) (11)
An equivalence relation for the Ginzburg-Landau equations of superconductivity (1997) (11)
Cartilage lamina splendens inspired nanostructured coating for biomaterial lubrication. (2021) (11)
Nanostructured Coating for Biomaterial Lubrication through Biomacromolecular Recruitment (2020) (11)
Rotational hysteresis of exchange-spring magnets (2002) (10)
Reduction for Michaelis-Menten-Henri kinetics in the presence of diffusion (2007) (10)
Asymptotic Analysis and the Numerical Solution of Partial Differential Equations (1991) (10)
Full- and partial-range eigenfunction expansions for Sturm-Liouville problems with indefinite problems with indefinite weights (1984) (10)
Analysis of the CSP Reduction Method for Chemical Kinetics (2003) (9)
Magnetic normal modes in nano-particles (2004) (9)
APPLICATION OF FINITE ELEMENT TECHNIQUES FOR THE NUMERICAL SOLUTION OF THE NEUTRON TRANSPORT AND DIFFUSION EQUATIONS. (1971) (9)
APPLICATIONS OF FINITE ELEMENT METHODS IN REACTOR MATHEMATICS. NUMERICAL SOLUTION OF THE NEUTRON DIFFUSION EQUATION. (1972) (9)
Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion (1992) (9)
Formalizing the Concept of Sound (1999) (9)
Continuity and Differentiability Properties of the Solution of the Linear Transport Equation (1977) (8)
Best constants in norm inequalities for derivatives on a half-line (1985) (8)
WAVES IN FERROMAGNETIC MEDIA (2002) (8)
Notochordal cell matrix as a bioactive lubricant for the osteoarthritic joint (2018) (8)
DISSCO: A Unified Approach to Sound Synthesis and Composition (2005) (8)
Boundary value problems of mixed type arising in the kinetic theory of gases (1979) (8)
A polyethylene glycol functionalized hyaluronic acid coating for cardiovascular catheter lubrication (2020) (8)
Mathematics of Planet Earth (2019) (8)
Additive Synthesis with DIASS_M4C on Argonne National Laboratory's IBM POWERparallel System (SP) (1995) (7)
A report on the Fourth Conference on Transport Theory (1975) (7)
Uniqueness for a class of nonlinear initial value problems (1988) (7)
Formulation of a Ritz-Galerkin Type Procedure for the Approximate Solution of the Neutron Transport Equation* (1975) (7)
Counterexample to the spectral mapping theorem for the exponential function (1986) (7)
A non-oscillation theorem for the emden-fowler equation: Ground states for semilinear elliptic equations with critical exponents (1988) (7)
Tribological Properties of Micropored Poly(2-hydroxyethyl methacrylate) Hydrogels in a Biomimetic Aqueous Environment. (2021) (7)
Dopamine-conjugated hyaluronic acid delivered via intra-articular injection provides articular cartilage lubrication and protection. (2022) (7)
NOTE ON THE USE OF GENERALIZED FUNCTIONS AND THE POINCARE-BERTRAND FORMULA IN NEUTRON TRANSPORT THEORY (1966) (6)
Concavity and monotonicity properties of solutions of Emden-Fowler equations (1988) (6)
Singular Sturm—Liouville problems with nonnegative and indefinite weights (1984) (6)
Regularizing Transformations for Certain Singular Sturm–Liouville Boundary Value Problems (1984) (6)
A hyaluronic acid based lubricious coating for cardiovascular catheters (2020) (6)
Mathematics & Climate (2013) (6)
Role of endothelial glycocalyx in sliding friction at the catheter-blood vessel interface (2020) (6)
On two conjectures concerning the multiplicity of solutions of a Dirichlet problem (1992) (5)
The stability of plane flames attached to a flameholder (1985) (5)
An oscillation criterion for linear second-order differential systems (1985) (5)
Uniqueness results for some nonlinear initial and boundary value problems (1988) (5)
Determining nodes for the Ginzburg-Landau equations of superconductivity (1998) (5)
Full- and Half-Range Theory of Indefinite Sturm-Liouville Problems (1984) (5)
A collection of problems in transport theory (1975) (5)
Recent advances in operator theory and applications (2005) (5)
Bounds for the best constant in Landau/s inequality on the line (1983) (5)
Dynamic origin of stripe domains in cobalt bars (2007) (5)
Linear transport theory and an indefinite Sturm-Liouville problem (1982) (5)
A fast solver for systems of reaction-diffusion equations. (2001) (4)
$L^\infty $-Error Bounds for Multivariate Lagrange Approximation (1974) (4)
Spectral Representation of an Unbounded Linear Transformation Arising in the Kinetic Theory of Gases (1979) (4)
Asymmetric steady states in catalytic slabs (1980) (4)
Asymptotic evaluation of two families of integrals (1977) (4)
Symbolic manipulation software and the study of differential equations (1991) (4)
Classical solutions of the nondivergent barotropic equations on the sphere (1992) (4)
THE NE-20+TB-159 REACTION STUDIED WITH THE KX-RAY METHOD AT 15 MEV NUCLEON (1991) (4)
Loudness Scaling in a Digital Synthesis Library (2004) (3)
Best constants in norm inequalities for the difference operator (1987) (3)
Formation of Stripe Domains in Cobalt Bars Via a Magnetic Soft Mode Instability (2006) (3)
DISCO: An Object-Oriented System for Music Composition and Sound Design (2000) (3)
Dynamics of nonadiabatic premixed flames in a gravitational field (1987) (3)
Comparison theorems and their use in the analysis of some nonlinear diffusion problems (1988) (3)
Greenhouse Effect in a Finite Anisotropically Scattering Atmosphere (1969) (3)
The frozen-field approximation and the Ginzburg-Landau equations of superconductivity (2000) (3)
On the Positive Solutions of the Free-Boundary Problem for Emden-Fowler Type Equations (1992) (3)
Modeling the Dynamics of Glacial Cycles (2017) (3)
Chapter 3: Weather and Climate (2015) (3)
Factorization Methods in Linear Transport Theory (1982) (2)
Construction of a finite element approximation which crosses material interfaces (1974) (2)
Correction to: Dry mouth: saliva substitutes which adsorb and modify existing salivary condition films improve oral lubrication (2020) (2)
Chapter 8: Energy (2015) (2)
Empirical investigation of reordering and data management for finite element systems of equations (1973) (2)
Bifurcating vortex solutions of the complex Ginzburg-Landau equation. (1999) (2)
Spectral analysis of the multigroup transport operator (1986) (2)
Lectin‐Functionalized Polyethylene Glycol for Relief of Mucosal Dryness (2021) (2)
A computational analysis and evaluation of the finite element method for a class of nuclear reactor configurations (1974) (2)
Interlacing property of eigenvalues of Sturm-Liouville boundary value problems (1984) (2)
THE USE OF INTERPOLATORY POLYNOMIALS FOR A FINITE ELEMENT SOLUTION OF THE MULTIGROUP DIFFUSION EQUATION**Work performed under the auspices of the U.S. Atomic Energy Commission. (1972) (1)
Differential roles for lysyl oxidase (like), family members in chronic obstructive pulmonary disease; from gene and protein expression to function (2022) (1)
Fibronectin Interactions with Staphylococcus aureus with and without Fibronectin-binding Proteins and their Role in Adhesion and Desorption (2008) (1)
Quasi-elastic and deep-inelastic primary cross sections in the 20Ne+159Tb reaction at 15 MeV/u (1989) (1)
Chapter 11: Climate Change (2015) (1)
Interpolation and approximation properties of rational coordinates over quadrilaterals (1976) (1)
Automatic Notation Of Computer-Generated Scores For Instruments, Voices And Electro-Acoustic Sounds (2010) (1)
Driven motion of vortices in superconductors (1996) (1)
NUMERICAL SOLUTION OF THE NEUTRON DIFFUSION EQUATION (2020) (1)
L2-norm inequalities for the differentiation operator on compact intervals (1988) (1)
Approximation procedure for the neutron transport equation based on the use of surface harmonic tensors (1974) (1)
A dynamical systems approach to the Pleistocene climate (2018) (1)
Mathematics of Planet Earth: Mathematicians Reflect on How to Discover, Organize, and Protect Our Planet (2015) (1)
On Carrier Facilitated Transport Through Membranes (1980) (1)
Nonlinear Ergodic Theorems for Abel Means (1979) (1)
Dynamic Vortex Phases in Superconductors with Correlated (2011) (1)
Dynamics of nearly extinguished nonadiabatic premixed flames in a gravitational field (1988) (1)
Computer-assisted music composition (1999) (1)
Numerical simulations of magnetic reversal in layered spring magnets. (2001) (1)
An abstract approach to music. (1999) (1)
Chapter 9: Regression Analysis (2013) (1)
Asymptotic analysis, Working Note No. 1: Basic concepts and definitions (1993) (1)
Chapter 5: Biosphere (2015) (1)
Chapter 20: Data Assimilation (2013) (1)
Spectral theory of Sturm-Liouville differential operators: proceedings of the 1984 workshop (1984) (1)
Chapter 12: Zonal Energy Budget (2013) (1)
An Approximate Theory for the Slowing Down of Neutrons in a Nonmultiplying Medium (1967) (1)
Burner Stabilized Flames in Fluids (1984) (1)
Modeling Food Systems (2019) (1)
Integral operators generated by exponential integrals (1977) (1)
Ergodic theorems for nonlinear contraction semigroups in a Hilbert space. [Kernels, ergodic theorems, nonlinear contraction] (1979) (1)
Asymptotic analysis: Working note no. 3, boundary layers (1993) (1)
Vortex configurations in high-{Tc} superconducting films (1992) (1)
Chapter 15: Climate Models (2013) (0)
Ordinary Differential Equations in $R^n $—Problems and Methods (L. C. Piccinini, G. Stampacchia and G. Vidossich) (1985) (0)
A Free Boundary Problem Arising in Plasma Physics (1992) (0)
Notochordal cell matrix as a bioactive lubricant for the osteoarthritic joint (2018) (0)
INw-J t ’ hqtf-% hht ~ Formalizing the Concept of Soundl (2000) (0)
An Abstract Approach to Musicl (2000) (0)
Chapter 6: Stommel's Box Model (2013) (0)
Oscillation theory for linear second-order differential systems (1987) (0)
Fast Solvers for Reaction-Diffusion Systems (2001) (0)
Chapter 8: Climate and Statistics (2013) (0)
Chapter 10: Mauna Loa CO2 Data (2013) (0)
A review of: “Topics in differential and integral equations and operator theory” (1986) (0)
Mathematics and Climate Research Network - An Example of a Successful Community-Building Effort (2015) (0)
Chapter 12: Biological Threats (2015) (0)
Appendix C: MATLAB Codes (2013) (0)
Numerical Simulation of Vortex Dynamicsin Type-II Superconductors (1995) (0)
Chapter 11: Fourier Transforms (2013) (0)
Venturing Outside the Silo (2019) (0)
ee boundary problem arising in plasma physics (2005) (0)
Ground States of Semi-Linear Diffusion Equations (2017) (0)
Appendix B: Glossary (2013) (0)
M(λ)-computation for singular differential systems (1989) (0)
Chapter 17: Cryosphere and Climate (2013) (0)
A dynamical systems approach to the Pleistocene climate - Part I of II (2016) (0)
Chapter 18: Biogeochemistry (2013) (0)
Chapter 2: Ocean and Atmosphere (2015) (0)
Implicit integration of the TDGL equations of superconductivity (2000) (0)
Appendix A: Units and Symbols (2013) (0)
Chapter 5: Bifurcation Theory (2013) (0)
Chapter 4: Dynamical Systems (2013) (0)
Proceedings of the International Conference in Honor of Jacqueline Fleckinger, Toulouse, France 2006 (2007) (0)
Introduction to focus issue: Nonlinear dynamics for planet Earth. (2015) (0)
Spectral analysis of a fourth-order singular differential operator arising in combustion (1988) (0)
Asymptotic-Induced Domain Decomposition (1991) (0)
Dry mouth: saliva substitutes which adsorb and modify existing salivary condition films improve oral lubrication (2020) (0)
Stripe Domains , Dynamic Modes and Magnetic Phase Transitions (0)
Chapter 6: Ecology and Evolution (2015) (0)
Chapter 3: Oceans and Climate (2013) (0)
Asymptotic Analysis in Physics (1991) (0)
Chapter 1: Climate and Mathematics (2013) (0)
Chapter 13: Predicting Catastrophes and Managing Risk (2015) (0)
Tribology of Pore-Textured Hard Surfaces under Physiological Conditions: Effects of Texture Scales. (2023) (0)
Topics from Biogeochemistry - Webinar, January 11, 2016 (2016) (0)
Asymptotics of a free-boundary problem (1995) (0)
Chapter 2: Earth's Energy Budget (2013) (0)
Chapter 4: Beyond Planet Earth (2015) (0)
294MeV~(20)Ne+~(159)Tb反应中出射α粒子的研究 (1993) (0)
Bioinspired Muco-Adhesive Restores Lubrication of Degraded Cartilage (2019) (0)
Chapter 9: Economics and Finance (2015) (0)
Implementation of loudness in a digital instrument (2001) (0)
Authors reply to comments of FJM Hilgers (2006) (0)
Singular Perturbation Methods (1991) (0)
Chapter 14: Hydrodynamics (2013) (0)
Using Bifurcation MAPLE for the Analysis of Phenomena in Condensed-Phase Surface Combustion* (1991) (0)
Part VI: Toward the Automation of Asymptotic Analysis Symbolic Manipulation Software and the Study of Differential Equations Kam Kwong (1991) (0)
Asymptotic analysis: Working note {number_sign}3, boundary layers (1993) (0)
Asymptotic analysis: Working Note No. 2, Approximation of integrals (1993) (0)
Toward the Automation of Asymptotic Analysis (1991) (0)
NEUTRON WAVE PROPAGATION WITH A ONE-TERM DEGENERATE THERMALIZATION KERNEL. (1968) (0)
Formation and Persistence of Spatiotemporal Turing Patterns (2007) (0)
The structure of a moving vortex lattice (1995) (0)
Mathematics of Planet Earth: Superbugs, Storm Surges, and Ecosystem Change (2018) (0)
OSCILLATION OF LINEAR SECOND-ORDER DIFFERENTIAL SYSTEMS1 (2010) (0)
Proceedings of the Focused Research Program on Spectral Theory and Boundary Value Problems, Vol. 3: Linear Differential Equations and Systems (1989) (0)
Long-time behavior of a nuclear reactor (1981) (0)
Proposals -- What Goes Into It, and What Happens to It? (2015) (0)
Improved error estimates for the perturbed Galerkin method applied to a class of generalized eigenvalue problems (1979) (0)
Chapter 7: Lorenz Equations (2013) (0)
Book review (1968) (0)
Asymptotics of a free boundary problem (1992) (0)
Ju n 20 07 FORMATION AND PERSISTENCE OF SPATIOTEMPORAL TURING PATTERNS (0)
SI-TARGETS IN FINE TUNGSTEN GAUZE (1987) (0)
Proceedings of the Focused Research Program on Spectral Theory and Boundary Value Problems, Vol. 4: Nonlinear Differential Equations (1989) (0)
FIBRONECTIN INTERACTIONS WITH STAPHYLOCOCCUS (2008) (0)
Bifurcation analysis of condensed-phase surface combustion (1988) (0)
High-performance Computing, Music Composition, and the Soniication of Scientiic Data the Instrument Computing Requirements What We Have Done so Far What We Have Found so Far (2007) (0)
Chapter 16: El Niño–Southern Oscillation (2013) (0)
Chapter 19: Extreme Events (2013) (0)
Vortex Conngurations in High-t C Superconducting Films (0)
Chapter 10: Human Behavior (2015) (0)
Chapter 13: Atmosphere and Climate (2013) (0)
SURVEY OF APPROXIMATION PROCEDURES FOR THE NUMERICAL SOLUTION OF THE NEUTRON TRANSPORT EQUATION. (1971) (0)
1 Dynamic origin of stripe domains (2009) (0)
The Structure of a Moving Vortex (1995) (0)
Automorphism theorems and half-range theory (1981) (0)
An ex vivo salivary lubrication system to mimic xerostomic conditions and to predict the lubricating properties of xerostomia relieving agents (2018) (0)
Chapter 7: Communication and Representation (2015) (0)
My 30-Second Elevator Speech (2015) (0)
Chapter 1: Planet Earth (2015) (0)

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What Schools Are Affiliated With Hans G. Kaper?

Hans G. Kaper's AcademicInfluence.com Rankings