Ronald E. Mickens
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Most Influential Person Now
American physicist
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Physics
Ronald E. Mickens's Degrees
- PhD Physics Vanderbilt University
- Masters Physics Vanderbilt University
- Bachelors Physics Morehouse College
Why Is Ronald E. Mickens Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ronald Elbert Mickens is an American physicist and mathematician who is the Fuller E. Callaway Professor of Physics at Clark Atlanta University. His research focuses on nonlinear dynamics and mathematical modeling, including modeling epidemiology. He also has an interest in the history of science and has written on the history of black scientists. He is a fellow of the American Physical Society and served as the historian of the National Society of Black Physicists. He has made significant contributions to the theory of nonlinear oscillations and numerical analysis.
Ronald E. Mickens'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
- Nonstandard Finite Difference Models of Differential Equations (1993) (855)
- Applications of nonstandard finite difference schemes (2000) (346)
- Oscillations in Planar Dynamic Systems (1996) (271)
- Climate, environmental and socio-economic change: weighing up the balance in vector-borne disease transmission (2015) (240)
- Advances in the Applications of Nonstandard Finite Difference Schemes (2005) (236)
- Comments on the method of harmonic balance (1984) (187)
- A generalization of the method of harmonic balance (1986) (171)
- Nonstandard Finite Difference Schemes for Differential Equations (2002) (169)
- Difference Equations: Theory and Applications (1990) (164)
- Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations (2005) (161)
- An introduction to nonlinear oscillations (1981) (157)
- Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition (2007) (156)
- Mathematical and numerical study of the duffing-harmonic oscillator (2001) (104)
- Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods (2010) (102)
- Exact solutions to a finite‐difference model of a nonlinear reaction‐advection equation: Implications for numerical analysis (1989) (99)
- Discretizations of nonlinear differential equations using explicit nonstandard methods (1999) (95)
- Iteration procedure for determining approximate solutions to non-linear oscillator equations (1987) (91)
- Nonstandard finite difference schemes for reaction‐diffusion equations (1999) (90)
- A mathematical model for skin burn injury induced by radiation heating (2008) (86)
- A generalized iteration procedure for calculating approximations to periodic solutions of “truly nonlinear oscillators” (2005) (80)
- OSCILLATIONS IN AN x4/3POTENTIAL (2001) (78)
- A nonstandard finite-difference scheme for the LotkaVolterra system (2003) (78)
- Numerical integration of population models satisfying conservation laws: NSFD methods (2007) (78)
- A positivity‐preserving nonstandard finite difference scheme for the damped wave equation (2004) (75)
- Iteration method solutions for conservative and limit-cycle x1/3 force oscillators (2006) (72)
- A note on the delayed heat equation: Instability with respect to initial data (2008) (61)
- ANALYSIS OF NON-LINEAR OSCILLATORS HAVING NON-POLYNOMIAL ELASTIC TERMS (2002) (60)
- Finite-difference models of ordinary differential equations: influence of denominator functions (1990) (60)
- Mathematics and Science (1990) (59)
- Harmonic balance and iteration calculations of periodic solutions to y¨+y-1=0 (2007) (59)
- A best finite‐difference scheme for the fisher equation (1994) (57)
- A FAST, STABLE AND ACCURATE NUMERICAL METHOD FOR THE BLACK–SCHOLES EQUATION OF AMERICAN OPTIONS (2008) (51)
- A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion (2003) (50)
- PERIODIC SOLUTIONS OF THE RELATIVISTIC HARMONIC OSCILLATOR (1998) (49)
- Exact Solutions to a Finite-difference Model of a Nonlinear Reaction-advection Equation: Implications for Numerical Analysis (2003) (48)
- GENERALIZED HARMONIC BALANCE/NUMERICAL METHOD FOR DETERMINING ANALYTICAL APPROXIMATIONS TO THE PERIODIC SOLUTIONS OF THE x4/3 POTENTIAL (2002) (43)
- Mathematical Methods for the Natural and Engineering Sciences (2017) (42)
- Nonstandard discretizations of the generalized Nagumo reaction‐diffusion equation (2003) (42)
- A new positivity‐preserving nonstandard finite difference scheme for the DWE (2005) (42)
- Construction and analysis of a non-standard finite difference scheme for the Burgers-Fisher equation (2002) (41)
- Relation between the time and space step‐sizes in nonstandard finite‐difference schemes for the Fisher equation (1997) (40)
- A nonstandard finite difference scheme for convection-diffusion equations having constant coefficients (2013) (36)
- Lie methods in mathematical modelling: Difference equation models of differential equations (1988) (36)
- Construction of approximate analytical solutions to a new class of non-linear oscillator equation (1985) (35)
- Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation (2005) (34)
- Fourier analysis of a rational harmonic balance approximation for periodic solutions (1996) (33)
- Difference equations : theory, applications and advanced topics (2015) (31)
- Exact finite-difference schemes for first order differential equations having three distinct fixed-points (2007) (30)
- Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method (1987) (30)
- Effect of a preventive vaccine on the dynamics of HIV transmission (2004) (29)
- Solutions to the discrete Airy equation: application to parabolic equation calculations (2004) (28)
- Nonstandard finite difference schemes for Michaelis–Menten type reaction‐diffusion equations (2013) (28)
- Investigation of the properties of the period for the nonlinear oscillator x¨+(1+x˙2)x=0 (2006) (28)
- Difference Equation Models of Differential Equations Having Zero Local Truncation Errors (1984) (28)
- Suppression of numerically induced chaos with nonstandard finite difference schemes (1999) (27)
- A nonstandard finite difference scheme for the diffusionless Burgers equation with logistic reaction (2003) (27)
- Fractional Van Der Pol Equations (2003) (26)
- A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations (2003) (25)
- Exact solutions to difference equation models of Burgers' equation (1986) (25)
- Stable explicit schemes for equations of Schrödinger type. (1989) (25)
- A note on an NSFD scheme for a mathematical model of respiratory virus transmission (2010) (25)
- Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences (2014) (25)
- A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion (2005) (24)
- Numerical study of a non-standard finite-difference scheme for the Van der Pol equation (2002) (24)
- Finite-difference schemes having the correct linear stability properties for all finite step-sizes III (1994) (23)
- NONSTANDARD FINITE DIFFERENCE METHODS (2005) (23)
- Nonstandard Finite Difference Schemes - Methodology and Applications (2020) (20)
- A numerical integration technique for conservative oscillators combining nonstandard finite-difference methods with a Hamilton's principle (2005) (20)
- A generalized van der Pol type oscillator: Investigation of the properties of its limit cycle (2012) (19)
- A qualitative study of the solutions to the differential equation x¨+(1+x˙2)x=0 (2005) (19)
- EXACT FINITE DIFFERENCE SCHEMES FOR TWO-DIMENSIONAL ADVECTION EQUATIONS (1997) (18)
- Nonstandard finite difference schemes for reaction‐‐diffusion equations having linear advection (2000) (17)
- Discrete Models of Differential Equations: The Roles of Dynamic Consistency and Positivity (2005) (17)
- Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases, Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah (2006) (17)
- A uniformly valid asymptotic solution for d2ydt2 + y = a + εy2☆ (1981) (17)
- Quadratic non-linear oscillators (2004) (17)
- Analysis of the simple harmonic oscillator with fractional damping (2003) (17)
- A finite difference scheme for traveling wave solutions to Burgers equation (1998) (16)
- From enzyme kinetics to epidemiological models with Michaelis-Menten contact rate: Design of nonstandard finite difference schemes (2012) (16)
- Numerical studies of a nonlinear heat equation with square root reaction term (2009) (16)
- Exact finite difference and non-standard finite difference schemes for (2012) (15)
- Exact Solution to the Antisymmetric, Constant Force Oscillator Equation (1994) (15)
- Determination of denominator functions for a NSFD scheme for the Fisher PDE with linear advection (2007) (15)
- Analysis of a new finite-difference scheme for the linear advection-diffusion equation (1991) (14)
- Difference Equations: Theory, Applications and Advanced Topics, Third Edition (1987) (14)
- A discrete-time model for the spread of periodic diseases without immunity. (1992) (14)
- Nonstandard Finite Difference Schemes (2020) (14)
- A Nonstandard Finite Difference Scheme for an Advection-Reaction Equation (2004) (14)
- A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption (2011) (13)
- Finite-difference scheme for the numerical solution of the Schrödinger equation. (1992) (13)
- Mathematical Analysis of Physical Systems (1986) (12)
- Exact finite difference scheme for an advection equation having square-root dynamics (2008) (12)
- Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges (Contemporary Mathematics) (2006) (12)
- A note on a discretization scheme for Volterra integro-differential equations that preserves stability and boundedness (2007) (12)
- Semi-classical quantization using the method of harmonic balance (1988) (12)
- ANALYTICAL AND NUMERICAL STUDY OF A NON-STANDARD FINITE DIFFERENCE SCHEME FOR THE UNPLUGGED VAN DER POL EQUATION (2001) (12)
- Periodic solutions of second-order nonlinear difference equations containing a small parameter (1983) (12)
- Mathematical assessment of the role of vector insecticide resistance and feeding/resting behavior on malaria transmission dynamics: Optimal control analysis (2018) (12)
- Temperature dependence of three-body association reactions (1985) (11)
- Construction of finite difference schemes for coupled nonlinear oscillators derived form a discrete energy function (1996) (11)
- Wave front behavior of traveling wave solutions for a PDE having square-root dynamics (2012) (10)
- Harmonic balance : comparison of equation of motion and energy methods (1993) (10)
- Approximate analytic solutions for singular non-linear oscillators (1984) (10)
- Investigation of the mathematical properties of a new negative resistance oscillator model (1989) (10)
- NSFD discretizations of interacting population models satisfying conservation laws (2013) (10)
- Runge-Kutta schemes and numerical instabilities: The logistic equation (1987) (10)
- Exact finite difference scheme for second-order, linear ODEs having constant coefficients (2005) (10)
- Traveling wave solutions of Burgers' equation with time delay (2020) (9)
- Construction Of A Perturbation Solution To A Mixed Parity System That Satisfies The Correct Initial Conditions (1993) (9)
- Positivity preserving discrete model for the coupled ODE's modeling glycolysis (2003) (9)
- Construction of a novel finite‐difference scheme for a nonlinear diffusion equation (1991) (9)
- A nonstandard finite difference scheme for a nonlinear PDE having diffusive shock wave solutions (2001) (9)
- ANALYSIS OF A FINITE-DIFFERENCE SCHEME FOR A LINEAR ADVECTION–DIFFUSION–REACTION EQUATION (2000) (9)
- Properties of finite difference models of non-linear conservative oscillators (1988) (9)
- Perturbation procedure for the Van Der Pol oscillator based on the Hopf bifurcation theorem (1988) (8)
- Exact Solutions to a Population Model: The Logistic Equation with Advection (1988) (8)
- Bounds on the Fourier coefficients for the periodic solutions of non-linear oscillator equations (1988) (8)
- Classroom Note: A Model of Dieting (1998) (8)
- Asymptotic solutions to a discrete airy equation (2001) (8)
- A NON-STANDARD FINITE-DIFFERENCE SCHEME FOR CONSERVATIVE OSCILLATORS (2001) (8)
- A note on exact finite difference schemes for the differential equations satisfied by the Jacobi cosine and sine functions (2013) (8)
- Comments on ‘‘Temperature dependence of three‐body association reactions from 45 to 400 K. The reactions N+2+2N2→N+4+N2 and O+2+2O2→O+4+O2’’ (1983) (8)
- An Introduction to Difference Equations. (1997) (8)
- Oscillations in systems having velocity dependent frequencies (1999) (8)
- Periodic Solutions of Second-order Nonlinear Difference Equations Containing a Small Parameter—III. Perturbation Theory (1986) (8)
- A SIR-model with square-root dynamics: An NSFD scheme (2010) (8)
- FOURIER REPRESENTATIONS FOR PERIODIC SOLUTIONS OF ODD-PARITY SYSTEMS (2002) (8)
- AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES (1999) (8)
- An Exactly Solvable Model for the Spread of Disease (2012) (8)
- Periodic solutions of second-order nonlinear difference equations containing a small parameter. II - Equivalent linearization (1985) (8)
- Nonstandard Finite Difference Schemes for Scalar Advection-reaction Partial Differential Equation (2004) (7)
- High-energy relations for scattering of particles and antiparticles (1969) (7)
- Investigation of a generalized van der Pol oscillator differential equation. (1995) (7)
- Application of generalized harmonic balance to an anti-symmetric quadratic non-linear oscillator (1992) (7)
- Asymptotic properties of solutions to two discrete airy equations (1997) (7)
- Edward Bouchet: The First African-American Doctorate (2002) (7)
- An Introduction to Non‐Linear Oscillations (1998) (7)
- Novel explicit finite-difference schemes for time-dependent Schrödinger equations (1991) (7)
- Calculation of order ϵ dynamics for an NSFD discretization of a cube-root damped oscillator (2014) (7)
- A note on a non-standard finite difference scheme for the Reluga x − y − z model (2010) (7)
- A note on exact finite difference schemes for modified Lotka–Volterra differential equations (2018) (6)
- Hopf bifurcation analysis of the Lev Ginzburg equation (2007) (6)
- A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE (2020) (6)
- A note on the exact discretization for a Cauchy–Euler equation: application to the Black–Scholes equation (2015) (6)
- A regular perturbation technique for non-linearly coupled oscillators in resonance (1982) (6)
- Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator (1994) (6)
- Nonstandard Discretization Schemes Applied to the Conservative Hénon-heiles System (2007) (6)
- A Non-Standard Finite-Difference Scheme for a Model of HIV Transmission and Control (2003) (6)
- Traveling wave solutions to modified Burgers and diffusionless Fisher PDE's (2019) (6)
- THE NUMBER OF LIMIT CYCLES FOR THE GENERALIZED MIXED RAYLEIGH-LIENARD OSCILLATOR (1995) (6)
- DISCRETE ARTIFICIAL BOUNDARY CONDITIONS FOR THE BLACK – SCHOLES EQUATION OF AMERICAN OPTIONS (2006) (6)
- Construction of a perturbation solution for a non-linear, singular oscillator equation (1989) (5)
- High-energy cross-sections, diffraction slopes and phase of the forward scattering amplitude (1969) (5)
- Exact finite difference scheme for linear differential equation with constant coefficients (2013) (5)
- A discrete model of a modified Burgers' partial differential equation (1990) (5)
- STEP-SIZE DEPENDENCE OF THE PERIOD FOR A FORWARD-EULER SCHEME OF THE VAN DER POL EQUATION (2002) (5)
- A non-standard finite difference scheme for the equations modelling stellar structure (2003) (5)
- Comment on “a second‐order, chaos‐free, explicit method for the numerical solution of a cubic reaction problem in neurophysiology” (1994) (5)
- Exact finite difference scheme for a spherical wave equation (1995) (5)
- LINEAR SYSTEMS, LIMIT CYCLES, MELNIKOV THEORY, AND THE METHOD OF SLOWLY VARYING AMPLITUDE AND PHASE (1998) (5)
- An exact discretization of Michaelis–Menten type population equations (2011) (5)
- Investigation of an anti-symmetric quadratic non-linear oscillator (1992) (5)
- A nonlinear nonstandard finite difference scheme for the linear time-dependent Schrödinger equation (2006) (4)
- GENERALIZED HARMONIC OSCILLATORS (2000) (4)
- Comments on the Shohat expansion (1996) (4)
- Asymptotic properties of solutions to discrete Coulomb equations (1998) (4)
- A difference-equation model of the duffing equation (1989) (4)
- Design of nonlinear isochronous oscillators (2015) (4)
- Comments on the general dynamics of the nonlinear oscillator x¨+(1+x˙2)x=0 (2011) (3)
- Mathematical and Numerical Studies of Nonstandard Difference Equation Models of Differential Equations (2008) (3)
- Neutron electric form factor (1982) (3)
- Exact finite difference schemes for the non-linear unidirectional wave equation (1985) (3)
- Constant and increasing total cross-sections at large but finite energies (1969) (3)
- Generalized Trigonometric and Hyperbolic Functions (2019) (3)
- Traveling-wave solutions for a discrete Burgers equation with nonlinear diffusion (2009) (3)
- Analysis of a Discrete-time Model for Periodic Diseases with Pulse Vaccination (2003) (3)
- Bounds on weak interaction amplitudes (1974) (3)
- A PHASE SPACE ANALYSIS OF A NON-LINEAR OSCILLATOR EQUATION (1997) (3)
- Exact solutions of non-linear unidirectional wave equations (1984) (3)
- MATHEMATICAL AND COMPUTER SCIENCES (1989) (3)
- Self-consistent vacuum trajectory (1968) (3)
- Generalization of the method of slowly varying amplitude and phase to non-linear oscillatory systems with two degrees of freedom (1981) (3)
- COMMENTS ON “A RATIONAL HARMONIC BALANCE APPROXIMATION FOR THE DUFFING EQUATION OF MIXED PARITY” (WITH AUTHORS' REPLY) (1998) (3)
- A particular exact solution to the central core model of the renal medulla (2001) (2)
- Mathematical properties of the vacuum polarization function (1978) (2)
- Approximate rational solutions to the Thomas-Fermi equation based on dynamic consistency (2021) (2)
- Calculating Periodic Solutions to `Truly Nonlinear' Oscillatory ODE's (2006) (2)
- Real part of the vector-meson-nucleon scattering amplitude from a quark regge-pole model (1970) (2)
- Preliminary analytical and numerical investigations of a van der Pol type oscillator having discontinuous dependence on the velocity (2005) (2)
- A computational method for the determination of the response of a linear system (1987) (2)
- Properties of amplitudes that saturate the Froissart bound (1971) (2)
- High-energy behavior of amplitudes at zero scattering angle (1968) (2)
- Exact finite difference schemes for the wave equation with spherical symmetry (1996) (2)
- Periodic solutions of the functional equation f(t)2 + g(t)2 = 1 (2016) (2)
- A note on solutions to pomeron functional equations (2017) (2)
- NSFD scheme for acoustic propagation with the linearized Euler equations (2016) (2)
- Symmetry properties of Van der Pol type differential equations and implications (1990) (2)
- Open problems and conjectures (2000) (2)
- Comments on “A generalized Galerkin's method for non-linear oscillators” (1987) (2)
- A CLASS OF GENERALIZATIONS OF THE LOTKA-VOLTERRA PREDATOR-PREY EQUATIONS HAVING EXACTLY SOLUBLE SOLUTIONS (2017) (2)
- Prediction of the electric form factors of the nucleon. (1986) (2)
- Construction of nonstandard finite difference schemes for $1{1\over 2}$ space‐dimension‐coupled PDEs (2007) (2)
- The African American Presence in Physics (1999) (2)
- Discrete models for the cube-root differential equation (2008) (2)
- Derivation of the chemical-equilibrium rate coefficient using scattering theory (1977) (2)
- An Introduction to Difference Equations, by Saber Elyadi (1997) (2)
- Non-Standard Finite Difference Schemes for Michaelis-Menten type Reaction Diffusion Equations (2012) (1)
- Nonstanard finite difference scheme for a scalar reaction-convection PDE (1998) (1)
- Radiative corrections to a non-linear oscillator (1980) (1)
- A note on a positivity preserving hyperbolic NSFD scheme for heat transfer (2022) (1)
- Long-range interactions (1979) (1)
- Rutherford Hamlet Adkins (1998) (1)
- Regge Branch Points and the Reactionsπ−p→K+Σ−andK−p→π+Σ− (1968) (1)
- Some properties of form factors with non-negative imaginary parts (1974) (1)
- Mathematical and numerical comparisons of five single-population growth models (2016) (1)
- A nonstandard finite difference scheme for the drift-diffusion system (2009) (1)
- Construction of stable explicit finite-difference schemes for Schroedinger type differential equations (1989) (1)
- A note on a discrete model for the harmonic oscillator Schrödinger equation in N-cartesian coordinates (2005) (1)
- Bound on the forward 3-to-3 scattering amplitude (1972) (1)
- Investigation of the I = 2 ϱπ system in πN → h̊ov;πN☆ (1971) (1)
- Mathematical Modelling with Differential Equations (2022) (1)
- Characterization of Base Periodicities in Protein-Coding Genes (1998) (1)
- Reduction of computational errors using nonstandard finite difference models (2005) (1)
- Properties of the solutions to certain equations arising in the central core model of the renal medulla. (1992) (1)
- Analysis of the damped pendulum (1987) (1)
- Bounds on the phase of the forward scattering amplitude and the pomeranchuk theorem (1970) (1)
- Pomeranchuk theorems for inclusive reactions near the boundary of phase space (1972) (1)
- Regge cut in π-p→K+∑- (1967) (1)
- Perturbation solution of a highly non-linear oscillation equation (1980) (1)
- Calculation of transient behavior for a non-linear, singular oscillator equation (1989) (1)
- A preliminary study of the Irving–Mullineux nonlinear oscillator equation (2003) (1)
- Construction of a Discrete-time Model for Periodic Diseases with Integer-valued Populations (2004) (1)
- Construction of asymptotic solutions to discrete Bessel equations (1994) (1)
- Counterfactual History is Consistent with Physics (2017) (1)
- Dual periodic modes for two linearly coupled identical singular oscillators (1992) (1)
- What is Science? (2017) (1)
- A finite difference scheme for second order non-linear oscillator differential equations (1994) (1)
- Mathematical Analysis of a Nonstandard Finite Difference Scheme for the Fisher Equation with Nonlinear Diffusion (2001) (1)
- A note on the construction of a 'valid' NSFD scheme for the Lotka-Volterra equations (2017) (1)
- Use of exact difference schemes to construct NSFD discretizations of differential equations (2016) (1)
- Nonstandard Finite Difference Schemes: Relations Between Time and Space Step-Sizes in Numerical Schemes for PDE's That Follow from Positivity Condition (1996) (1)
- Periodic symmetry modes of two coupled identical singular oscillators (1990) (1)
- Consequences of Culling in Deterministic ODE Predator-Prey Models (2016) (1)
- Construction of finite difference schemes having special properties for ordinary and partial differential equations (1984) (1)
- Upper bound on neutrino cross sections (1975) (0)
- Semi-classical Determination of the Energy Levels of a $x^{4/3}$ Potential (2008) (0)
- Generalized Trigonometric Functions: |y|p + |x|q = 1 (2019) (0)
- Estimation of half-life for single compartmental elimination models (2008) (0)
- A derivation of the discrete-time Anderson–May model for periodic diseases (2007) (0)
- Willie Hobbs Moore (1934-1994): The First Female African American Physicist (2011) (0)
- Edward A. Bouchet (2001) (0)
- Dominant Balance Analysis of the Fractional Power Damped Harmonic Oscillator (2019) (0)
- Definition and Discussion of Some Fundamental Concepts and Issues from the Perspective of Science (2020) (0)
- C. Eric Lincoln Lecture Series Student Forum, 1989 (audio) (1989) (0)
- Mathematical and numerical studies of nonstandard difference equation models of differential equations. Final technical report, September 1995--September 1997 (1997) (0)
- Calculation of single-mode approximation to the limit-cycle solution of a nonlinear wave equation (2010) (0)
- Properties of scattering amplitudes at very high energies (1975) (0)
- Some Important Nonlinear Partial Differential Equations (2004) (0)
- Existence of Periodic Solutions for a Generalized Conservative Oscillator. (1996) (0)
- Prediction of the magnetic form factors of the nucleon (1988) (0)
- Reggeon-reggeon total cross-sections (1972) (0)
- The total-absorption model of high-energy scattering (1973) (0)
- Trigonometric and Hyperbolic Sine and Cosine Functions (2019) (0)
- The trailblazing career of Willie Hobbs Moore (2022) (0)
- Nonlinear-damped Duffing oscillators having finite time dynamics (2014) (0)
- Approximate Solutions to d$^{2}$x/dt$^{2}$ + [1+( dx/dt)$^{2}$]x = 0 Using a Polar Representation (2010) (0)
- Dynamics of Oscillatory Systems Having A Fractional Power Damping Force (2012) (0)
- Bounds on weak-interaction amplitudes.—II (1975) (0)
- Albert Turner Bharucha‐Reid (1985) (0)
- Commentary on discussion on the limit-cycle of the Lev Ginsburg equation by C.A. Buzzi et al. (2012) (0)
- Gamma, Beta, Zeta, and Other Named Functions (2004) (0)
- WKB procedure for Schro¨dinger type difference equations (1995) (0)
- OUT OF HIDING: HOW THE BOOK AND FILM ‘HIDDEN FIGURES’ HAVE RAISED THE VISIBILITY OF AFRICAN AMERICAN WOMEN IN THE SCIENCES (2017) (0)
- Semi-Classical Calculation of the Energy Levels For the Linear Potential (2002) (0)
- High-Energy Bounds on Weak Scattering Amplitudes (1974) (0)
- A Nonlinear Finite Difierence Scheme for the Time-Dependent Schrodinger Equation 1 RONALD MICKENS | In general, the time-dependent (2005) (0)
- REGGE BRANCH POINTS AND THE REACTIONS $pi$$sup -$p $Yields$ K$sup +$$Sigma$$sup -$ AND K$sup -$p $Yields$ $pi$$sup +$. (1968) (0)
- N*(1470)--p TRANSITION FORM FACTOR IN THE CHOU--YANG MODEL. (1971) (0)
- Reanalysis of a Castor model limit cycle calculation (2009) (0)
- On some conditions for improving the froissart bound (1971) (0)
- Failure of the method of slowly varying amplitude and phase for non-linear, singular oscillators (1992) (0)
- Rutherford Adkins: Fighter pilot turned physicist (2021) (0)
- JMM 2018 Lecture Sampler (2018) (0)
- Background and General Comments (2010) (0)
- A Fractional-Order Alternative for Phase-Lagging Equation (2023) (0)
- The Annual Meeting (16th) and the 20th Day of Scientific Lectures of the National Society of Black Physicists (1993) (0)
- A Theoretical Estimate for the Frequency of the TNL Oscillator $\ddot x + x + x^{1/3}=0$ (2008) (0)
- Qualitative Methods for Ordinary Differential Equations (2004) (0)
- Design of nonlinear isochronous oscillators (2015) (0)
- An order ϵ2perturbation procedure for second order nonlinear difference equations (2000) (0)
- Semiclassical Calculation of the Energy Spectrum of the Linear Potential Problem. (1996) (0)
- Generalized Periodic Functions (2017) (0)
- Construction and Preliminary Investigation of Properties of the Imani Periodic Functions (2017) (0)
- Investigation of the conditions for oscillations in two-variable models of biological processes. (1990) (0)
- Analysis of a new class of predator-prey model (2001) (0)
- Analysis of the Lev Ginzburg Equation (2006) (0)
- Preliminary Analysis of the Inverse-x Oscillator (2012) (0)
- Trigonometric Relations and Fourier Analysis (2004) (0)
- Resumé of (Some) Previous Results on Generalized Trigonometric Functions (2019) (0)
- Proceedings of a Meeting of an American Sub-Group of the Council of Edward A. /Bouchet-ICTP Institute Held in Atlanta, Georgia on 28-29 Mar 1992 (1992) (0)
- Chew-Pignotti duality and 1+ mesons (1971) (0)
- Physics at Fisk University (2005) (0)
- 81st Annual Meeting of the APS Southeastern Section (2014) (0)
- Averaging Method For Nonlinear Cubic Oscillator (2009) (0)
- The neutrino charge form-factor (1975) (0)
- A Nonlinear Finite Difference Scheme for the Time-Dependent Schrodinger Equation (2006) (0)
- An Approximation to the Periodic Solution of a Differential Equation of Abel (2011) (0)
- A MODIFIED HUBBERT MODEL FOR RESOURCE RECOVERY (2017) (0)
- Heuristic Derivation of Black Hole Properties Using Dimensional Analysis (2016) (0)
- Schrödinger Differential Equations (1993) (0)
- Dynamically Consistent Approximate Rational Solutions to the Thomas-Fermi Equation (2020) (0)
- Fractional van der Pol Oscillator Equations (2002) (0)
- Phase of amplitudes at zero scattering angle (1968) (0)
- Polarizations at very high energies (1968) (0)
- Nonleptonic Sigma Decays (1967) (0)
- The Reasons (Sometimes) for a Change of Mind (2018) (0)
- A note on exponential-type solutions for the linear, delayed heat partial differential equation. (2020) (0)
- Mathematical and numerical studies of nonstandard difference equation models of differential equations. Final technical report (2001) (0)
- Investigation of an Unforced Duffing Equation having Fractional Power Damping (2012) (0)
- Who was Christine Shack (2012) (0)
- Finite-difference scheme for the numerical solution of the Schroedinger equation (1992) (0)
- Pion-nucleon scattering at cosmic-ray energies (1975) (0)
- Relations among the triple-, double- and single-pomeron vertices (1971) (0)
- Perturbation Methods for Oscillatory Systems (2004) (0)
- A Nonlinear Oscillator With Velocity Dependent Frequency (2005) (0)
- Triple-Reggeon Couplings and the Reactions \gp{su\+-}+p\ar\gp{su0}+anything. (1971) (0)
- SUMMARY AND DISCUSSION (1993) (0)
- Bounds on the Average Multiplicity and Transverse Momentum (1976) (0)
- Properties of scattering amplitudes that increase linearly with energy (1974) (0)
- LINDSTEDT-POINCARÉ PERTURBATION METHOD (1996) (0)
- MULTI-TIME EXPANSIONS (1996) (0)
- Two First-Order, Coupled Ordinary Differential Equations (1993) (0)
- An exact perturbation solution to the equation epsilon XY dY/dX = X - Y (Y + 1). (1978) (0)
- Regge-trajectory slopes (1968) (0)
- ELEMENTARY DERIVATION OF THE NUCLEAR FORCE RANGE-POTENTIAL DEPTH RELATIONSHIP (2019) (0)
- Special Functions and Their Properties (2004) (0)
- Rescattering and absorptive corrections to the pomeranchukon (1969) (0)
- Calculation of the long-range part of the interaction between two particles. [Inverse Born approximation] (1977) (0)
- THE IMPORTANCE OF BEING "FIRST" (2020) (0)
- An Averaged-Separation of Variable Solution to the Burger Equation (2011) (0)
- Absorption and Dispersion for Classical Forced, Nonlinear Oscillators of Atomic Oscillators (2015) (0)
- The Genesis of SESAPS (2008) (0)
- Systems Exhibiting Alternative Futures (2017) (0)
- The Roles of Academic Genealogies (2019) (0)
- Asymptotics of the 1/2-dimension, Discrete Airy Equation and its Approximating Differential Equation (2003) (0)
- Asymptotic properties of scattering amplitudes that are bounded by the Martin-Froissart bound (1973) (0)
- Uniformly valid asymptotic solutions of chemical rate equations for irradiation-produced point defects (1983) (0)
- A harmonic oscillator having “volleyball damping” (2006) (0)
- Polar Representations of Solutions to Nonlinear Oscillator Differential Equations (2010) (0)
- Unknown, Not Hidden Figures in Science: The Role of Invisible Colleges (2018) (0)
- The Level Structure of Mathematics: Some Implications (2019) (0)
- Nonlinear, Singular Oscillatory Systems (1991) (0)
- TRIPLE-REGGEON COUPLINGS AND THE REACTIONS $pi$$sup +-$ + p $Yields$ $pi$$sup 0$ + ANYTHING. (1971) (0)
- Approximations of Integrals and Sums (2004) (0)
- CRDE : cube – root differential equation NSFD : nonstandard finite difference NSFE : nonstandard forward – Euler ODE : ordinary differential equation SFE : standard forward – Euler 2 The Cubic – Root Differential Equation (2007) (0)
- Numerical Studies Of A Nonlinear Heat Equation With Square Root Dissipative Term (2009) (0)
- Froissart bound for weak-scattering amplitudes (1975) (0)
- On the properties of particle-antiparticle processes with different energy behavior (1973) (0)
- Fourier Analysis of Lowest Normal-Mode Functions for Beams and Plates: Implication for Graphene (2014) (0)
- Calculation of Analytic Approximations to the Periodic Solutions of a “Truly Nonlinear” Oscillator Equation (2005) (0)
- Edward A. Bouchet Award Talk: NSFD Schemes: Genesis, Methodology and Applications (2008) (0)
- Positivity Preserving Nonstandard Finite Difference Schemes for PDE's Having Cross-Diffusion Terms (2005) (0)
- Dynamics of the Hamiltonian H(x,y) $=$ \textbar x\textbar $+$\textbar y\textbar (2017) (0)
- REGULATION OF SINGULAR ORDINARY DIFFERENTIAL EQUATIONS MODELLING OSCILLATING SYSTEMS (1997) (0)
- EXACT AND NONSTANDARD FINITE DIFFERENCE SCHEMES FOR A MODIFIED LAW OF COOLING (2019) (0)
- Pomeranchuk theorems for production processes (1973) (0)
- Generalized Periodic Solutions of f(t)2 + g(t)2 = 1 (2019) (0)
- Some Comments on the Mathematical Analysis of the Mechanical Properties of Graphene (2013) (0)
- What is the Range of a Potential (2001) (0)
- RESCATTERING AND ABSORPTIVE CORRECTIONS TO THE POMERON. (1969) (0)
- Obituary of J. Wilkins, Jr. (1923-2011) (2013) (0)
- Mathematics of continuous and discrete dynamical systems : AMS special session in honor of Ronald Mickens's 70th birthday nonstandard finite-difference discretizations and nonlinear oscillations, January 9-10, 2013, San Diego, CA (2014) (0)
- Parabolic Trigonometric Functions (2019) (0)
- Generalized Trigonometric Hyperbolic Functions: |y| p −|x| q = 1 (2019) (0)
- DETERMINATION OF TRIPLE-REGGEON VERTICES FROM EXPERIMENT. (1972) (0)
- Nonstandard Discretizations in Cancer Modeling (2013) (0)
- Effect of the universal radiation field on high energy cosmic neutrinos (1975) (0)
- Art Is I, Science Is We (2019) (0)
- A Third-Order Differential Equation Modelling Stellar Pulsation (2007) (0)
- Second-Order, Nonlinear Oscillator Equations (1993) (0)
- Estimate of the Damping Force Exponential Coefficient for an Oscillating Beam (2012) (0)
- Trajectories for a Two-Dimensional Quartic Potential. (1997) (0)
- Calculation of Approximations to the Periodic Solutions for the Cubic- Root Oscillator (2009) (0)
- Particles and Waves in Classical Dynamics (2006) (0)
- Investigation of Power-Law Damping/Dissipative Forces (2014) (0)
- Comments on a Particular Class of Generalized Trigonometric Functions (2014) (0)
- Comparison of Numerical and Approximate Analytic Solution of a Nonlinear Oscillator Equation (2004) (0)
- Exact results on the temperature dependence of the specific equilibrium recombination rate coefficient (1978) (0)
- A Nonstandard Finite-Difference Scheme for a Dual-Sorption Model of Percutaneous Drug Absorption (2001) (0)
- Exponential and Separation of Variables Exact Solutions to the Linear, Delayed, Unidirectional Wave Equation (2019) (0)
- FIRST ORDER ODE'S (1993) (0)
- METHOD OF KRYLOV-BOGOLIUBOV-MITROPOLSKY (1996) (0)
- PARTIAL DIFFERENTIAL EQUATIONS (1993) (0)
- COUNTERFACTUAL HISTORIES OCCUR IN CLASSICAL PHYSICS (2017) (0)
- James Raymond Lawson (1997) (0)
- Spurious limit-cycles arising in higher order averaging methods (1996) (0)
- The life and work of Elmer Samuel Imes (2018) (0)
- An estimate of the radiative decay width of the P11(1470) (1971) (0)
- Applications and Advanced Topics (2019) (0)
- Construction and Analysis of a Discrete Heat Equation Using Dynamic Consistency: The Meso-scale Limit (2023) (0)
- Bounds on the Derivatives of the Pion Electromagnetic Form-Factor (1976) (0)
- GENERAL SECOND-ORDER SYSTEMS (1996) (0)
- Consequences of Culling in Deterministic (2016) (0)
- Mathematical Analysis of a Singular, Nonlinear, Periodically Driven Oscillator (2015) (0)
- A New Perturbation Method for Oscillatory Systems (2003) (0)
- The Imani Periodic Functions: Genesis and Preliminary Results (2017) (0)
- Upper bound on total cross sections (1977) (0)
- Calculation of oscillatory properties of the solutions of two coupled, first order non-linear ordinary differential equations (1990) (0)
- Analytical Approximations to the Solutions of a Nonlinear Diffusion Equation. (1999) (0)
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