# Richard E. Ewing: Publications

- J.R. Cannon and R.E. Ewing, The Locations and Strengths of Point Sources, Improperly Posed Boundary Value Problems, London: Pitman (), 39–53, Print.
- R.E. Ewing, The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations, SIAM Journal on Mathematical Analysis 6:2 (), 283–294.
- R.E. Ewing, Numerical Solution of Sobolev Partial Differential Equations, SIAM Journal on Numerical Analysis 12:3 (), 345–363.

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- J.R. Cannon and R.E. Ewing, Determination of a Source Term in a Linear Parabolic Partial Differential Equation, Zeitschrift für angewandte Mathematik und Physik ZAMP 27:3 (), 393–401.
- J.R. Cannon and R.E. Ewing, A Direct Numerical Procedure for the Cauchy Problem for the Heat Equation, Journal of Mathematical Analysis and Applications 56:1 (), 7–17.

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- J.R. Cannon and R.E. Ewing, On the Stability of the Temperature Distribution in a Composite Heat Conductor, Bollettino dell'Unione Matematica Italiana (), 190–202.
- J.R. Cannon and R.E. Ewing, A Coupled Nonlinear Hyperbolic-Parabolic System, Journal of Mathematical Analysis and Applications 58:3 (), 665–686.
- J.R. Cannon and R.E. Ewing, Galerkin Procedures for Systems of Parabolic Partial Differential Equations Related to the Transmission of Nerve Impulses, Nonlinear Diffusion (), 24–52.
- R.E. Ewing, A Coupled Non-Linear Hyperbolic-Sobolev System, Annali di Matematica Pura ed Applicata 144:1 (), 331–349.

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- R.E. Ewing.6, Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations, SIAM Journal on Numerical Analysis 15:6 (), 1125–1150.

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- J.R. Cannon and R.E. Ewing, Quasi-Linear Parabolic Systems with Non-Linear Boundary Conditions, Inverse and Improperly Posed Problems in Differential Equations (G. Anger, ed.) Berlin: Akademie-Verlag (), 36–43.
- J. Douglas, Jr., T. Dupont, and R.E. Ewing, Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem, SIAM Journal on Numerical Analysis 16:3 (), 503–522.
- R.E. Ewing, The Cauchy Problem for a Linear Parabolic Partial Differential Equation, Journal of Mathematical Analysis and Applications 71:1 (), 167–186.
- R.E. Ewing and R.S. Falk, Numerical Approximation of a Cauchy Problem for a Parabolic Partial Differential Equation, Mathematics of Computation (), 1125–1144.

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- J.R. Cannon and R.E. Ewing, A Galerkin Procedure for Systems of Differential Equations, Calcolo 17:1 (), 1–23.
- R.E. Ewing, On Efficient Time-Stepping Methods for Nonlinear Partial Differential Equations, Computers & Mathematics with Applications 6:1 (), 1–3.
- R.E. Ewing, Shallow-Depth Temperature Models for Dome C, Antarctic Journal of the United States 15:5 (), 75–76.
- R.E. Ewing and M.F. Wheeler, Galerkin Methods for Miscible Displacement Problems in Porous Media, SIAM Journal on Numerical Analysis 17:3 (), 351–365.

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- R.E. Ewing, Alternating-Direction Galerkin Methods for Parabolic, Hyperbolic and Sobolev Partial Differential Equations, Lectures on the Numerical Solution of Partial Differential Equations (I. Babuska, T.-P. Liu, and J. Osborn, eds.) University of Maryland Department of Mathematics Colllege Park (), 123–150.
- R.E. Ewing and R.F. Russell, Multistep Galerkin Methods Along Characteristics for Convection-Diffusion Problems, Advances in Computer Methods for Partial Differential Equations IV (R. Vichnevetsky and R.S. Stepleman, eds.) Proceedings: Fourth IMACS International Symposium on Computer Methods for Partial Differential Equations Lehigh University, Bethlehem, Pennsylvania (), 28–36.

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- R.E. Ewing, Efficient Multistep Procedures for Nonlinear Parabolic Problems with Nonlinear Neumann Boundary Conditions, Calcolo 19:3 (), 231–252.
- R.E. Ewing, Determination of Coefficients in Reservoir Simulation, Numerical Treatment of Inverse Problems in Differential and Integral Equations (P. Deuflhard and E. Hairer, eds.) Birkhäuser Boston (), 206–226.
- R.E. Ewing, R.S. Falk, J.F. Bolzan, and I.M. Whillans, Techniques for Thermal Conductivity Measurements in Antarctica, Annals Of Glaciology 3 (), 96–102.
- R.E. Ewing and T.F. Russell, Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media, SIAM Journal on Numerical Analysis 19:1 (), 1–67.
- M.F. Wheeler, R.E. Ewing, R. Fonteciello, and R.W. Jones, Mixed methods for elliptic partial differential equations, 10th IMACS World Congress on Systems Simulation and Scientific Computation Montréal, Canada (), 40–42.

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- J. Douglas, Jr., R.E. Ewing, and M.F. Wheeler, The Approximation of the Pressure by a Mixed Method in the Simulation of Miscible Displacement, RAIRO-Analyse numérique 17:1 (), 17–33.
- J. Douglas, Jr., R.E. Ewing, and M.F. Wheeler, A Time-Discretization Procedure for a Mixed Finite Element Approximation of Miscible Displacement in Porous Media, RAIRO-Analyse numérique 17:3 (), 249–265.
- R.E. Ewing, On the Role of Applied Mathematics in the Petroleum Industry, SIAM News 16:6 (), 15.
- R.E. Ewing and R.F. Heinemann, Incorporation of mixed finite element methods in compositional simulation for reduction of numerical dispersion, SPE Reservoir Simulation Symposium SPE 12267 (), 341–347.
- R.E. Ewing, T.F. Russell, and M.F. Wheeler, Simulation of Miscible Displacement Using Mixed Methods and a Modified Method of Characteristics, SPE Reservoir Simulation Symposium SPE 12241 (), 71–81.
- R.E. Ewing and M.F. Wheeler, Computational Aspects of Mixed Finite Element Methods, Numerical Methods for Scientific Computing Amsterdam: North-Holland Publishing Company (), 163–172.
- R.E. Ewing, Problems Arising in the Modeling of Processes for Hydrocarbon Recovery, The Mathematics of Reservoir Simulation (Frontiers in Applied Mathematics) (R.E. Ewing, ed.) Philadelphia:SIAM (), 3–34.

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- B.L. Darlow, R.E. Ewing, and M.F. Wheeler, Mixed Finite Element Method for Miscible Displacement Problems in Porous Media, Society of Petroleum Engineers Journal 24:4 (), 391–398.
- J.C. Diaz, R.E. Ewing, R.W. Jones, A.E. McDonald, D.U. von Rosenberg, and L.M. Uhler, Self-Adaptive Local Grid Refinement in Enhanced Oil Recovery, Proceedings: Fifth International Symposium on Finite Elements and Flow Problems Austin, Texas (–), 479–484.
- R.E. Ewing, Adaptive Mesh Refinements in Reservoir Simulation Applications, Proceedings: Internatinal Conference on Accuracy Estimation and Adaptive Refinements in Finite Element Computations Lisbon, Portugal (–), 31–40.
- R.E. Ewing and J.H. George, Viscous Fingering in Hydrocarbon Recovery Processes, Mathematical Methods in Energy Research (K.I. Gross, ed.) Philadelphia: SIAM (), 194–213.
- R.E. Ewing and R.F. Heinemann, Mixed Finite Element Approximation of Phase Velocities in Computational Reservoir Simulation, Computer Methods in Applied Mechanics and Engineering 47:1&nash;2 (), 161–175.
- R.E. Ewing and J.V. Koebbe, Mixed Finite Element Methods for Groundwater Flow and Contaminant Transport, Proceedings: Fifth IMACS International Symposium on Computer Methods for Partial Differential Equations Bethlehem, Pennsylvannia (–), 106–113.
- R.E. Ewing, J.V. Koebbe, R. Gonzalez, and M.F. Wheeler, Computing Accurate Velocities for Fluid Flow in Porous Media, Proceedings: Fifth International Symposium on Finite Elements and Flow Problems Austin, Texas (–), 131–136.
- R.E. Ewing, S. McCormick, and J. Thomas, The Fast Adaptive Composite Grid Method for Solving Differential Boundary-Value Problems, Proceedings: Fifth ASCE Specialty Conference "Engineering Mechanics in Civil Engineering" Laramie, Wyoming (–), 1453–1456.
- R.E. Ewing, T.F. Russell, and M.F. Wheeler, Convergence Analysis of an Approximation of Miscible Displacement in Porous Media by Mixed Finite Elements and a Modified Method of Characteristics, Computer Methods in Applied Mechanics and Engineering 47:1&nash;2 (), 73–92.
- R.E. Ewing and M.F. Wheeler, Galerkin Methods for Miscible Displacement Problems with Point Sources and Sinks — Unit Mobility Ratio Case, Mathematical Methods in Energy Research (K.I. Gross, ed.) Philadelphia: SIAM (), 40–58.