Bernard J. Matkowsky | Academic Influence

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Bernard J. Matkowsky

Mathematics

#5023

World Rank

#7094

Historical Rank

#1678

USA Rank

Measure Theory

#1575

World Rank

#1953

Historical Rank

#523

USA Rank

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Mathematics

Bernard J. Matkowsky's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Bernard J. Matkowsky Influential?

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According to Wikipedia, Bernard Judah Matkowsky was an American applied mathematician. Matkowsky received a B.S. from City College of New York in 1960, an M.E.E. from New York University in 1961, an M.S. in 1963 and a Ph.D. in 1966 from the Courant Institute at NYU. His advisor was Joseph B. Keller and his thesis was entitled "Asymptotic Solution of Partial Differential Equations in Thin Domains". He was Professor of Mathematics at Rensselaer Polytechnic Institute from 1966 to 1977. In 1977 he accepted an offer from Northwestern University, with a mandate to build an Applied Mathematics department, eventually becoming Professor of Applied Mathematics, Mathematics and Mechanical Engineering. In 1990 he was appointed John Evans Professor of Applied Mathematics. He was chair of the Applied Math department from 1993 to 1999.

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Bernard J. Matkowsky'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

Flames as gasdynamic discontinuities (1982) (653)
PROPAGATION OF A PULSATING REACTION FRONT IN SOLID FUEL COMBUSTION (1978) (319)
The Exit Problem for Randomly Perturbed Dynamical Systems (1977) (255)
An asymptotic derivation of two models in flame theory associated with the constant density approximation (1979) (241)
A direct approach to the exit problem (1990) (137)
Forced forward smolder combustion (1996) (132)
Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation (1975) (129)
Two routes to chaos in condensed phase combustion (1990) (124)
Maximal energy accumulation in a superadiabatic filtration combustion wave (1999) (119)
Singular Perturbations of Bifurcations (1977) (110)
Propagation and extinction of forced opposed flow smolder waves (1995) (105)
The Exit Problem: A New Approach to Diffusion Across Potential Barriers (1979) (102)
Bifurcation of Pulsating and Spinning Reaction Fronts in Condensed Two-Phase Combustion (1984) (96)
Fronts, relaxation oscillations, and period doubling in solid fuel combustion (1987) (96)
Turing Pattern Formation in the Brusselator Model with Superdiffusion (2008) (96)
Lifetime of oscillatory steady states (1982) (91)
Roundoff Error in Computing Derivatives Using the Chebyshev Differentiation Matrix (1995) (79)
An adaptive pseudo-spectral method for reaction diffusion problems (1989) (79)
Nonlinear Stability and Bifurcation in the Transition from Laminar to Turbulent Flame Propagation (1983) (74)
An Asymptotic Theory of Large Deviations for Markov Jump Processes (1985) (73)
On Boundary Layer Problems Exhibiting Resonance (1975) (73)
A Singular Perturbation Approach to Kramers’ Diffusion Problem (1982) (73)
Eigenvalues of the Fokker–Planck Operator and the Approach to Equilibrium for Diffusions in Potential Fields (1981) (69)
A Variational Approach to Singularly Perturbed Boundary Value Problems for Ordinary and Partial Differential Equations with Turning Points (1976) (63)
Colored noise in dynamical systems (1988) (62)
Diffusion across characteristic boundaries with critical points (1983) (61)
A subjective Bayesian approach to the theory of queues II—Inference and information in M/M/1 queues (1987) (61)
Instabilities, Fingering and the Saffman - Taylor Problem in Filtration Combustion (1998) (60)
A simple nonlinear dynamic stability problem (1970) (59)
PROPAGATION OF A PULSATING FLAME FRONT IN A GASEOUS COMBUSTIBLE MIXTURE (1980) (58)
Asymptotic solution of the Kramers-Moyal equation and first-passage times for Markov jump processes (1984) (56)
PULSATIONS IN A BURNER-STABILIZED PREMIXED PLANE FLAME* (1981) (55)
Effects of gas-solid nonequilibrium in filtration combustion (2003) (55)
Nonlinear Dynamic Stability: A Formal Theory (1970) (55)
The Kramers Problem in the Turnover Regime: The Role of the Stochastic Separatrix (1991) (55)
Nonlinear dynamic buckling of a compressed elastic column (1971) (51)
Diffusion theory of multidimensional activated rate processes: The role of anisotropy (1989) (51)
Flames in Fluids: Their Interaction and Stability (1983) (48)
Diffusion Across Characteristic Boundaries (1982) (47)
A unified model of flames as gasdynamic discontinuities (2003) (47)
Acoustic Coupling of Flames (1984) (44)
From Traveling Waves to Chaos in Combustion (1994) (42)
A NONLINEAR THEORY OF CELLULAR FLAMES (1980) (42)
Acceleration Effects on the Stability of Flame Propagation (1979) (40)
Stability of plane wave solutions of complex Ginzburg-Landau equations (1993) (39)
On the transition from smoldering to flaming (2006) (39)
Stability of planar flames as gasdynamic discontinuities (2003) (39)
Traveling Waves in Natural Counterflow Filtration Combustion and Their Stability (1998) (37)
A two-dimensional adaptive pseudo-spectral method (1990) (37)
A Model Biochemical Reaction Exhibiting Secondary Bifurcation (1977) (37)
Explosive crystallization in the presence of melting (2006) (36)
Solution of Kramers–Moyal equations for problems in chemical physics (1984) (36)
Reactive-Diffuse Systems with Arrhenius Kinetics: Multiple Solutions, Ignition and Extinction (1979) (36)
Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion (1992) (36)
Downward buoyant filtration combustion (1996) (35)
Two Parallel Queues with Dynamic Routing (1986) (35)
Dynamics of hot spots in solid fuel combustion (2002) (34)
Interaction of pulsating and spinning waves in condensed phase combustion (1986) (34)
A singular perturbation approach to non-Markovian escape rate problems (1986) (33)
Steady and Pulsating Modes of Sequential Flame Propagation (1982) (33)
NONLINEAR DYNAMICS OF CELLULAR FLAMES (1992) (33)
ON THE BIRTH OF ISOLAS (1982) (30)
Structure and dynamics of modulated traveling waves in cellular flames (1994) (29)
On the Stability of Plane and Curved Flames (1984) (29)
Flame Propagation in Channels: Secondary Bifurcation to Quasi-Periodic Pulsations (1985) (28)
Reactive-Diffusive System with Arrhenius Kinetics: Peculiarities of the Spherical Geometry (1980) (28)
Interaction of Turing and Hopf modes in the superdiffusive Brusselator model (2009) (27)
Thermal activation from the fluxoid and the voltage states of dc SQUIDs (1983) (27)
Traveling waves along the front of a pulsating flame (1982) (27)
On the smooth transition to convection (1978) (26)
Stochastic stability of nonlinear oscillators (1988) (26)
On Nonadiabatic Condensed Phase Combustion (1987) (26)
A variational approach to nonlinear singularly perturbed boundary-value problems (1987) (26)
On the Stability of Nonadiabatic Flames (1981) (25)
MULTIPLE BUCKLED STATES OF RECTANGULAR PLATES (1974) (25)
New Modes of Quasi-Periodic Combustion Near a Degenerate Hopf Bifurcation Point (1988) (25)
Flame Propagation with a Sequential Reaction Mechanism (1982) (24)
On the performance of state-dependent single server queues (1986) (23)
Interaction of pulsating and spinning waves in nonadiabatic flame propagation (1987) (22)
Asymptotic analysis of a state-dependent M / G /1 queueing system (1986) (22)
SPINNING WAVES IN GASEOUS COMBUSTION. (1982) (22)
Adaptive approximation of solutions to problems with multiple layers by Chebyshev pseudo-spectral methods (1995) (22)
Self Compaction or Expansion in Combustion Synthesis of Porous Materials (1993) (22)
Two Parallel M/G/1 Queues where Arrivals Join the System with the Smaller Buffer Content (1987) (21)
Secondary States of Rectangular Plates (1980) (21)
Period doubling gained, period doubling lost (1989) (21)
Coupled KS—CGL and coupled burgers—CGL equations for flames governed by a sequential reaction (1999) (21)
Stationary and slowly moving localised pulses in a singularly perturbed Brusselator model (2011) (21)
Does reaction path curvature play a role in the diffusion theory of multidimensional activated rate processes (1988) (21)
Adaptive pseudo-spectral domain decomposition and the approximation of multiple layers (1995) (20)
Quasi-Periodic Waves Along a Pulsating Propagating Front in a Reaction-Diffusion System (1984) (20)
Dynamics in layer models of solid flame propagation (2000) (19)
A singular perturbation approach to first passage times for Markov jump processes (1986) (19)
FLAME PROPAGATION WITH MULTIPLE FUELS. (1982) (18)
Combustion of porous samples with melting and flow of reactants (1994) (17)
An Asymptotic Theory of Deflagrations and Detonations I. The Steady Solutions (1983) (17)
Buoyancy driven filtration combustion (1997) (17)
On roll, square and hexagonal cellular flames (1994) (17)
Asymptotic analysis of a state dependent M/G/1 queueing system (1985) (17)
On the asymptotic theory of dissipative wave motion (1971) (16)
Interaction of counterpropagating hot spots in solid fuel combustion (1999) (16)
Asymptotic theory of propagation in curved and nonuniform waveguides (1974) (16)
Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model. (2013) (16)
Pulsating and Chaotic Dynamics near the Extinction Limit (1992) (16)
Combustion Synthesis of a Porous Layer (1993) (16)
Rapid filtration combustion waves driven by convection (1998) (15)
Cascading cellular flames (1989) (15)
A New Model in Flame Theory (1982) (15)
An Integral Equation Approach to the M/G/2 Queue (1990) (15)
Nonlinear analysis of condensed-phase surface combustion (1990) (15)
Spiral Gasless Condensed Phase Combustion (1994) (15)
Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point (2011) (15)
On the problem of exit (1976) (15)
Filtration combustion in moving media: One and two reaction zone structures (1997) (15)
The flow between counter-rotating disks at high Reynolds number (1976) (15)
Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations (2001) (14)
Polyhedral flames (1991) (14)
Is there a transition to flaming in reverse smolder waves (2009) (14)
Linear stability analysis of cylindrical flames (1989) (14)
Gravity Induced Separation in “Liquid Flames” (1996) (14)
Two-Front Traveling Waves in Filtration Combustion (1993) (13)
Adaptive pseudo-spectral computation of cellular flames stabilized by a point source (1988) (13)
Reply to Comment on: Diffusion theory of multidimensional activated rate processes: The role of anisotropy (1991) (13)
Using MAPLE for the Analysis of Bifurcation Phenomena in Condensed-Phase Surface Combustion (1991) (12)
The two repairman problem: a finite source M/G/2 queue (1987) (12)
Modes of burning in filtration combustion (1991) (12)
On the stability of counter flow filtration combustion (1991) (12)
Interaction of Gasless and Filtration Combustion (1994) (11)
A singular perturbation approach to non‐Markovian escape rate problems with state dependent friction (1986) (11)
Reactive-Diffusive System with Arrhenius Kinetics: The Robin Problem (1980) (11)
A complex Swift–Hohenberg equation coupled to the Goldstone mode in the nonlinear dynamics of flames (2003) (11)
Asymptotic Expansions for a Closed Multiple Access System (1987) (11)
Extremum principles for selection in the Saffman–Taylor finger and Taylor–Saffman bubble problems (1999) (11)
On the Stability of the Porous Plug Burner Flame (1986) (11)
Colored noise in activated rate processes (1989) (11)
First-order dynamics driven by rapid Markovian jumps (1989) (10)
Enhancement of gasless combustion synthesis by counterflow gas filtration (1994) (10)
Stoichiometric flames and their stability (1995) (10)
A Markov-modulated M/G/1 queue II: Busy period and time for buffer overflow (1987) (10)
Singular perturbations, stochastic differential equations and applications (1980) (10)
Bifurcation, Pattern Formation and Chaos in Combustion (1991) (10)
Reply to ‘‘Comment on the role of reaction path curvature in diffusional barrier crossing processes’’ (1989) (10)
Mean Field Effects for Counterpropagating Traveling Wave Solutions of Reaction-Diffusion Systems (1995) (9)
Response times in processor-shared queuses with state-dependent arrival rates (1989) (9)
Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion (1992) (9)
On the lifetime of a metastable state at low noise (1983) (9)
On the mechanism of triggering the transition from smoldering to flaming (2007) (8)
A Markov-modulated M/G/1 queue I: Stationary distribution (1986) (8)
Rapid, upward buoyant filtration combustion waves driven by convection (2001) (8)
A Nonlinear Wave Equation in Nonadiabatic Flame Propagation (1988) (8)
Studies in nonlinear problems of energy (1990) (8)
On the non-Markovian theory of activated rate processes in the small friction limit (1985) (8)
Busy period distribution in state-dependent queues (1987) (8)
A finite capacity single-server queue with customer loss (1986) (7)
ON INHIBITING RUNAWAY IN CATALYTIC REACTORS (1978) (7)
Shot noise effect on the nonzero voltage state of the hysteretic Josephson junction (1983) (7)
Driven Combustion Waves in Porous Media* (2000) (7)
Burner-stabilized cellular flames (1990) (7)
Combustion of porous samples with deformation of high temperature products (1992) (7)
Transitions to chaos in condensed phase combustion with reactant melting (2001) (7)
Spinning cellular flames (1990) (7)
Gas-Phase Influence on Quasisteady “Liquid Flames” in Gravitational Fields (2000) (6)
System crash in a finite capacity m/g/1 queue (1986) (6)
Boundary behavior of diffusion approximations to Markov jump processes (1986) (6)
Spiral flames (2003) (6)
Numerical computation of bifurcation phenomena and pattern formation in combustion (1989) (6)
On the Route to Extinction in Nonadiabatic Solid Flames (2006) (6)
Condensed phase combustion with a merged sequential reaction mechanism (1990) (6)
Uniqueness in the nonlinear dynamic bending of elastic plates (1975) (5)
Ignition of Heterogeneous Mixtures in Gravitational Fields (1998) (5)
Selection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tension (1998) (5)
Distribution of the maximum buffer content during a busy period for state-dependent m/g/1 queues (1987) (5)
Modulated Traveling Waves in Combustion (1993) (5)
A state-dependent GI/G/1 queue (1994) (5)
Transitions from the equilibrium state of a hysteretic Josephson junction induced by self-generated shot noise (1983) (5)
On the validity of the geometrical theory of diffraction by convex cylinders (1969) (5)
Gravitational Effects on the SHS Production of High Porosity Materials (1996) (5)
Structure and dynamics of kink and cellular flames stabilized on a rotating burner (1996) (5)
The stability of plane flames attached to a flameholder (1985) (5)
The Reactive Rayleigh-Bénard Problem with Throughflow (2001) (4)
Two-dimensional cellular burner-stabilized flames (1994) (4)
TRANSITIONS AND STABILITY IN THE NONLINEAR BUCKLING OF ELASTIC PLATES. (1974) (4)
Dynamics in a Rod Model of Solid Flame Waves (2004) (4)
Localized Flickering Cellular Flames (1998) (4)
Singular perturbations in noisy dynamical systems (2018) (4)
Asymmetric steady states in catalytic slabs (1980) (4)
Dynamics of nonadiabatic premixed flames in a gravitational field (1987) (3)
Secondary states of vibrating plates (1981) (3)
Bifurcation, Pattern Formation, and Transition to Chaos in Combustion (1991) (3)
Modeling and numerical computation of a nonsteady SHS process (1990) (3)
Kramers' diffusion problem and diffusion across characteristic boundaries (1982) (3)
Solid Flame Waves (2003) (3)
The transition from spinning to radial solid flame waves (2004) (3)
On Oscillatory Necking in Polymers (1979) (2)
A state dependent M/M/1 queue: a production-inventory model (1988) (2)
Slowly varying filtration combustion waves (1993) (2)
On Flames as Discontinuity Surfaces in Gasdynamic Flows: The Joseph B. Keller Anniversary Volume (2004) (2)
First Passage Times for Processes Governed by Master Equations (1984) (2)
Frequency Fluctuations in Noisy Oscillators (1985) (2)
Asymptotic methods for Markov jump processes (1991) (2)
A boundary layer approach to the whispering gallery phenomenon (2018) (2)
Bistable cellular flames (1987) (2)
Gravitational effects in smoldering and SHS (1997) (2)
Mathematical modeling of SHS processes (2002) (2)
Evolution of an epidemic with a small number initial infectives : (preprint) (1976) (1)
Filtration Combustion in Smoldering and SHS (1999) (1)
In the footsteps of Zeldovich: nonlinear evolution of the Zeldovich and other cellular flame instabilities (1995) (1)
Errata: On Boundary Layer Problems Exhibiting Resonance (1976) (1)
Singular perturbations of epidemic models involving a threshold (1983) (1)
On Carrier Facilitated Transport Through Membranes (1980) (1)
Dynamics of nearly extinguished nonadiabatic premixed flames in a gravitational field (1988) (1)
New modes of quasi-periodic burning in combustion synthesis (1990) (1)
Dynamical systems driven by small white noise: asymptotic analysis and applications (1983) (1)
Porous medium combustion (1995) (1)
Bound States of Asymmetric Hot Spots in Solid Flame Propagation (2003) (1)
Bifurcation and pattern formation in combustion (1988) (1)
A first passage time approach to stochastic stability of nonlinear oscillators (1988) (1)
Solid Flame Waves: A Celebratory Volume in Honor of Larry Sirovich (2003) (1)
Burner Stabilized Flames in Fluids (1984) (1)
SPATIOTEMPORAL PATTERN FORMATION IN SOLID FUEL COMBUSTION (2006) (1)
Generation and stability of subharmonic and modulated subharmonic oscillations in nonlinear systems (1972) (1)
Noise-Induced Transitions in Multi-Stable Systems (1984) (1)
THE REACTIVE RAYLEIGH-B´ ENARD PROBLEM WITH THROUGHFLOW ∗ (2000) (1)
THE LIFETIMES OF NON-EQUILIBRIUM DISSIPATIVE STEADY STATES (1986) (1)
Studies in nonlinear problems of energy. Progress report, October 1, 1993--September 30, 1994 (1994) (0)
Bifurcation and Stability Theory with Application to Problems of Combustion and Flame Propagation. (1983) (0)
Studies in nonlinear problems of energy. Progress report, January 1, 1992--December 31, 1992 (1992) (0)
Erratum: Solution of Kramers–Moyal equations for problems in chemical physics [J. Chem. Phys. 81, 1285 (1984)] (1985) (0)
Nonlinear Dynamics of Sequential Flames (2002) (0)
Interaction of Turing and Hopf modes near C 2 THP 2 The model , the basic solution , and its linear stability (2010) (0)
Uniform solution of Kramers' problem by a direct approach (1991) (0)
Burning in Outer Space: Microgravity (2000) (0)
Slowly and Rapidly Propagating “Liquid Flames” in Gravitational Fields (2000) (0)
Using Bifurcation MAPLE for the Analysis of Phenomena in Condensed-Phase Surface Combustion* (1991) (0)
Bifurcation analysis of condensed-phase surface combustion (1988) (0)
ANL-81-49 l / aeq 4 SECONDARY STATES OF VIBRATING PLATES by (2015) (0)
DEFLAGRATIONS, DETONATIONS AND THE TRANSITION PROBLEM IN THE LIMIT OF WEAK EXOTHERMICITY. (1981) (0)
Preface (1995) (0)
Propagating Flames and their Stability (1984) (0)
Singular Bifurcation in Reaction — Diffusion Systems (1984) (0)
STRUCTURE AND DYNAMICS OF MODULATED TRAVELING WAVES IN CELLULAR (1994) (0)
A World of SHS Wave Modes (2002) (0)
EJM volume 5 issue 4 Cover and Front matter (1994) (0)
Singular perturbations in noisy dynamical systems - CORRIGENDUM (2018) (0)
Corrigendum: Singular perturbations in noisy dynamical systems (European Journal of Applied Mathematics (2018) DOI: 10.1017/S0956792518000025) (2018) (0)
Studies in nonlinear problems of energy. Final report (1998) (0)
A New Model of Flames as Gasdynamic Discontinuities (2001) (0)
Buckling of a thin initially wrinkled rectangular plate (1981) (0)
Cellular Flame Patterns and Dynamics: in Honor of Ya.B. Zeldovich (1997) (0)
Localized ordered structures and flame stretch (1993) (0)
A boundary layer approach to creeping waves (2018) (0)
Research in nonlinear problems of energy. Progress report, November 1, 1977-October 31, 1979 (1979) (0)
Cascading subcritical bifurcations of cellular flames (1988) (0)
Nonlinear Evolution of Cellular Flame Instabilities (1995) (0)
ANL-80-' 7 ANL-80-71 MATE ON CARRIER FACILITATED TRANSPORT THROUGH MEMBRANES (2015) (0)
DISTRIBUTIO_ OF THIS DOCUMENT iS UNLIMITED (2005) (0)
Joseph B. Keller (1923–2016) (2017) (0)
First Passage Times in Stochastic Differential Equations of Mathematical Physics and Engineering. (1983) (0)
A contribution to root-locus techniques for the analysis of transient responses (1962) (0)
Steady State Combustion Wave Characteristics (2002) (0)
Secondary Bifurcation in Flame Propagation (1984) (0)
Explosive Crystallization of Amorphous Semiconductor Films in the Presence of Melting (2006) (0)
Bound States of Asymmetric Hot Spots in Solid Fuel Combustion (2003) (0)

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