John D. Towers

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All published works

Action	Title	Year	Authors
+	Convergence of a particle Monte Carlo algorithm for scalar conservation laws	2025	John D. Towers
+ PDF Chat	Compactness estimates for difference schemes for conservation laws with discontinuous flux	2024	Kenneth H. Karlsen John D. Towers
+	BV regularity of the adapted entropy solutions for conservation laws with infinitely many spatial discontinuities	2024	Shyam Sundar Ghoshal John D. Towers Ganesh Vaidya
+	Compactness estimates for difference schemes for conservation laws with discontinuous flux	2023	Kenneth H. Karlsen John D. Towers
+	A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	2022	Shyam Sundar Ghoshal John D. Towers Ganesh Vaidya
+ PDF Chat	Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov-type fluxes	2022	Shyam Sundar Ghoshal John D. Towers Ganesh Vaidya
+	A Godunov type scheme and error estimates for multidimensional scalar conservation laws with Panov-type discontinuous flux	2021	Shyam Sundar Ghoshal John D. Towers Ganesh Vaidya
+ PDF Chat	Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux	2020	Shyam Sundar Ghoshal Animesh Jana John D. Towers
+	A splitting algorithm for LWR traffic models with flux discontinuous in the unknown	2020	John D. Towers
+	An existence result for conservation laws having BV spatial flux heterogeneities - without concavity	2020	John D. Towers
+	Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux	2020	Shyam Sundar Ghoshal Animesh Jana John D. Towers
+	Well-posedness for conservation laws with spatial heterogeneities and a study of BV regularity	2020	Shyam Sundar Ghoshal John D. Towers Ganesh Vaidya
+	Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux	2020	Shyam Sundar Ghoshal Animesh Jana John D. Towers
+	Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov type fluxes	2020	Shyam Sundar Ghoshal John D. Towers Ganesh Vaidya
+	Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities	2018	John D. Towers
+	Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities	2018	John D. Towers
+ PDF Chat	Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition	2017	Kenneth H. Karlsen John D. Towers
+ PDF Chat	Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions	2017	Kenneth H. Karlsen John D. Towers
+ PDF Chat	On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux	2010	Raimund Bürger Kenneth H. Karlsen John D. Towers
+	Finite difference methods for approximating Heaviside functions	2009	John D. Towers
+ PDF Chat	An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections	2009	Raimund Bürger Kenneth H. Karlsen John D. Towers
+	A convergence rate theorem for finite difference approximations to delta functions	2008	John D. Towers
+	Numerical schemes for kinematic flows with discontinuous flux	2007	Raimund Bürger Antonio García Kenneth H. Karlsen John D. Towers
+	Two methods for discretizing a delta function supported on a level set	2006	John D. Towers
+	On an extended clarifier-thickener model with singular source and sink terms	2006	Raimund Bürger Antonio García Kenneth H. Karlsen John D. Towers
+ PDF Chat	CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX	2004	Kenneth H. Karlsen John D. Towers
+ PDF Chat	Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units	2004	Reinhard B�rger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+ PDF Chat	FRONT TRACKING FOR SCALAR BALANCE EQUATIONS	2004	Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	Monotone difference approximations for the simulation of clarifier-thickener units	2004	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units	2003	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area	2003	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS	2003	Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case	2001	John D. Towers
+	Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux	2000	John D. Towers

Common Coauthors

Coauthor	Papers Together
Kenneth H. Karlsen	15
Shyam Sundar Ghoshal	9
Raimund Bürger	7
Ganesh Vaidya	6
Nils Henrik Risebro	6
Animesh Jana	2
Antonio García	2
Reinhard B�rger	1
Animesh Jana	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux	2000	John D. Towers	18
+ PDF Chat	Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units	2004	Reinhard B�rger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers	17
+ PDF Chat	Monotone difference approximations for scalar conservation laws	1980	Michael G. Crandall Andrew J. Majda	16
+	OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS	2005	Adimurthi Siddhartha Mishra G. D. Veerappa Gowda	14
+	Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space	2004	Adimurthi Jérôme Jaffré G. D. Veerappa Gowda	13
+	Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies	2005	Emmanuel Audusse Benoı̂t Perthame	12
+ PDF Chat	Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function	1992	Tore Gimse Nils Henrik Risebro	11
+	Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior	1995	Christian Klingenberg Nils Henrik Risebro	11
+	FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES	1970	S N Kružkov	11
+	A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation	1996	S. Diehl	11
+	L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS	2003	Kenneth H. Karlsen Nils Henrik Risebro John D. Towers	10
+ PDF Chat	Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks’ medium	2013	Boris Andreïanov Clément Cancès	10
+ PDF Chat	ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS	2003	Nicolas Seguin Julien Vovelle	9
+ PDF Chat	A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux	2011	Boris Andreïanov Kenneth H. Karlsen Nils Henrik Risebro	9
+	A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case	2001	John D. Towers	9
+	ON EXISTENCE AND UNIQUENESS OF ENTROPY SOLUTIONS TO THE CAUCHY PROBLEM FOR A CONSERVATION LAW WITH DISCONTINUOUS FLUX	2009	E. Yu. Panov	9
+ PDF Chat	Conservation laws with discontinuous flux	2007	Mauro Garavello Roberto Natalini Benedetto Piccoli Andrea Terracina	9
+	Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux	2010	Adimurthi Shyam Sundar Ghoshal Rajib Dutta G. D. Veerappa Gowda	9
+	A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units	2003	Raimund Bürger Kenneth H. Karlsen Christian Klingenberg Nils Henrik Risebro	9
+ PDF Chat	CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX	2004	Kenneth H. Karlsen John D. Towers	9
+	Optimal results on TV bounds for scalar conservation laws with discontinuous flux	2014	Shyam Sundar Ghoshal	8
+	On Scalar Conservation Laws with Point Source and Discontinuous Flux Function	1995	S. Diehl	7
+	Global solution of the cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws	1982	Blake Temple	7
+ PDF Chat	On the uniqueness of vanishing viscosity solutions for Riemann problems for polymer flooding	2017	Wen Shen	7
+	Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient	2002	Kenneth H. Karlsen	7
+	Well-Posedness for a Class of 2×2 Conservation Laws withL∞Data	1997	Paolo Baiti Helge Kristian Jenssen	7
+ PDF Chat	An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections	2009	Raimund Bürger Kenneth H. Karlsen John D. Towers	7
+	An existence result for conservation laws having BV spatial flux heterogeneities - without concavity	2020	John D. Towers	6
+ PDF Chat	One-sided difference approximations for nonlinear conservation laws	1981	Björn Engquist Stanley Osher	6
+ PDF Chat	A General BV Existence Result for Conservation Laws with Spatial Heterogeneities	2018	Benedetto Piccoli Magali Tournus	6
+ PDF Chat	BV regularity near the interface for nonuniform convex discontinuous flux	2016	Shyam Sundar Ghoshal	6
+ PDF Chat	Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems	2008	Gui‐Qiang Chen Nadine Even Christian Klingenberg	5
+	Finite-difference approximations and entropy conditions for shocks	1976	A. Harten James M. Hyman Peter D. Lax Barbara Lee Keyfitz	5
+	Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation	1976	Nikolai Kuznetsov	5
+ PDF Chat	Scalar conservation laws with discontinuous flux function: I. The viscous profile condition	1996	S. Diehl	5
+ PDF Chat	Conservation law with discontinuous flux	2003	Adimurthi G. D. Veerappa Gowda	5
+	On an extended clarifier-thickener model with singular source and sink terms	2006	Raimund Bürger Antonio García Kenneth H. Karlsen John D. Towers	5
+ PDF Chat	A Comparison of Convergence Rates for Godunov’s Method and Glimm’s Method in Resonant Nonlinear Systems of Conservation Laws	1995	L. Lin J. B. Temple J. Wang	4
+	Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation	2001	Christian Klingenberg Nils Henrik Risebro	4
+	Convergence of Upwind Finite Difference Schemes for a Scalar Conservation Law with Indefinite Discontinuities in the Flux Function	2005	Siddhartha Mishra	4
+ PDF Chat	Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux	2020	Shyam Sundar Ghoshal Animesh Jana John D. Towers	4
+	Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients	2006	Florence Bachmann Julien Vovelle	4
+ PDF Chat	Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function	2007	Adimurthi Siddhartha Mishra G. D. Veerappa Gowda	4
+ PDF Chat	Suppression of Oscillations in Godunov’s Method for a Resonant Non-Strictly Hyperbolic System	1995	Longwei Lin Blake Temple Jinghua Wang	4
+	Solutions of Hamilton–Jacobi Equations and Scalar Conservation Laws with Discontinuous Space–Time Dependence	2002	Daniel N. Ostrov	4
+ PDF Chat	Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition	2017	Kenneth H. Karlsen John D. Towers	4
+	Stability of Conservation Laws with Discontinuous Coefficients	1999	Runhild A. Klausen Nils Henrik Risebro	4
+ PDF Chat	On the existence and compactness of a two-dimensional resonant system of conservation laws	2007	Kenneth H. Karlsen M. Rascle Eitan Tadmor	4
+	Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units	2003	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers	4
+	Existence of strong traces for quasi-solutions of multidimensional scalar conservation laws	2006	E. Yu. Panov	4