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Richard E. Ewing: Publications

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

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  1. 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.
  2. 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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  1. 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.
  2. J.R. Cannon and R.E. Ewing, A Coupled Nonlinear Hyperbolic-Parabolic System, Journal of Mathematical Analysis and Applications 58:3 (), 665–686.
  3. 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.
  4. R.E. Ewing, A Coupled Non-Linear Hyperbolic-Sobolev System, Annali di Matematica Pura ed Applicata 144:1 (), 331–349.

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  1. 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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  1. 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.
  2. 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.
  3. R.E. Ewing, The Cauchy Problem for a Linear Parabolic Partial Differential Equation, Journal of Mathematical Analysis and Applications 71:1 (), 167–186.
  4. 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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  1. J.R. Cannon and R.E. Ewing, A Galerkin Procedure for Systems of Differential Equations, Calcolo 17:1 (), 1–23.
  2. R.E. Ewing, On Efficient Time-Stepping Methods for Nonlinear Partial Differential Equations, Computers & Mathematics with Applications 6:1 (), 1–3.
  3. R.E. Ewing, Shallow-Depth Temperature Models for Dome C, Antarctic Journal of the United States 15:5 (), 75–76.
  4. 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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  1. 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.
  2. 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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  1. R.E. Ewing, Efficient Multistep Procedures for Nonlinear Parabolic Problems with Nonlinear Neumann Boundary Conditions, Calcolo 19:3 (), 231–252.
  2. 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.
  3. 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.
  4. 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.
  5. 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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  1. 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.
  2. 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.
  3. R.E. Ewing, On the Role of Applied Mathematics in the Petroleum Industry, SIAM News 16:6 (), 15.
  4. 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.
  5. 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.
  6. 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.
  7. 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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  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.

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