John C. Crank
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John C. Crankmathematics Degrees
Mathematics
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Applied Mathematics
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Measure Theory
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Mathematics
John C. Crank's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)John C. Crank'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
- The Mathematics Of Diffusion (1956) (17622)
- A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type (1947) (2825)
- Tables of Integrals (1962) (2152)
- Diffusion in polymers (1968) (1984)
- Free and moving boundary problems (1984) (1495)
- A theoretical investigation of the influence of molecular relaxation and internal stress on diffusion in polymers (1953) (229)
- The combustion of wood. Part I (1946) (227)
- Some fundamental definitions and concepts in diffusion processes (1949) (217)
- Difference Methods for Initial-Value Problems 2nd edn (1968) (217)
- A moving boundary problem arising from the diffusion of oxygen in absorbing tissue (1972) (147)
- TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW (1957) (144)
- Diffusion in high polymers: some anomalies and their significance (1951) (124)
- Isotherm Migration Method in two dimensions (1975) (105)
- Diffusion in media with variable properties. Part I. The effect of a variable diffusion coefficient on the rates of absorption and desorption (1949) (87)
- An evaluation of the diffusion coefficient for chloroform in polystyrene from simple absorption experiments (1949) (78)
- Gaseous diffusion in the airways of the human lung. (1966) (65)
- A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials (1972) (61)
- XLV. A diffusion problem in which the amount of diffusing substance is finite.—IV. solutions for small values of the time (1948) (52)
- Diffusion in media with variable properties. Part II.—The effect of a variable diffusion coefficient on the concentration-distance relationship in the non-steady state (1949) (46)
- Persistent discretization errors in partial differential equations of parabolic type (1964) (36)
- Influence of imbedded particles on steady-state diffusion (1974) (35)
- Diffusion in media with variable properties. Part III.—Diffusion coefficients which vary discontinuously with concentration (1951) (34)
- Diffusion with rapid irreversible immobilization (1957) (34)
- The treatment of boundary singularities in axially symmetric problems containing discs (1977) (33)
- Diffusion Processes in Environmental Systems (1981) (31)
- XX. A diffusion problem in which the amount of diffusing substance is finite.—II. Diffusion with non-linear adsorption (1948) (31)
- Mathematical Methods for Science Students (1962) (31)
- Isotherm migration along orthogonal flow lines in two dimensions (1978) (29)
- Numerical Solution of Ordinary and Partial Differential Equations (1963) (27)
- Applied Mathematics for Engineers and Physicists (1958) (19)
- On an implicit scheme for the isotherm migration method along orthogonal flow lines in two dimensions (1979) (19)
- C.R.C. Standard Mathematical Tables (1962) (19)
- A Theoretical Investigation of Cap and Ring Spinning Systems (1953) (19)
- NUMERICAL SOLUTION OF A FREE BOUNDARY PROBLEM BY INTERCHANGING DEPENDENT AND INDEPENDENT VARIABLES (1980) (19)
- A method of treating boundary singularities in time-dependent problems (1973) (16)
- Some methods of deducing the diffusion coefficient and its concentration dependence from sorption experiments (1955) (16)
- The Influence of Concentration-Dependent Diffusion on Rate of Evaporation (1950) (15)
- Interferometric studies in diffusion. II. Influence of concentration and orientation on diffusion in cellulose acetate (1951) (15)
- Mathematical Models in Heat Flow and Diffusion (1970) (13)
- Weak and Variational Methods for Moving Boundary Problems, C.M. Elliott, J.R. Ockendon. Pitman Advanced Publishing Program, Boston, London, Melbourne (1982), 213 pp. £12.00 (1983) (12)
- The Differential Analyser (1948) (12)
- Diffusion coefficients in solids, their measurement and significance (1957) (12)
- The numerical solution of elliptic and parabolic partial differential equations with boundary singularities (1978) (11)
- DIFFUSION IN HIGH POLYMERS (1951) (10)
- An Introduction to the Laplace Transformation with Engineering Applications (1961) (10)
- APPROXIMATE METHODS FOR TWO-DIMENSIONAL PROBLEMS IN HEAT FLOW (1966) (10)
- A simple finite‐difference modification for improving accuracy near a corner in heat flow problems (1976) (9)
- Boundary-value problems of heat condition: M.N. Ozisik, Internation Textbook Company Inc., Price £6, pp. xiv + 505, (1968) (1969) (8)
- LXXXVI. A diffusion problem in which the amount of diffusing substance is finite.—III. Diffusion with non-linear adsorption into a composite circular cylinder (1947) (8)
- Distribution of potential in cylindrical thermionic valves (1939) (8)
- LXXVIII. Simultaneous diffusion and reversible chemical reaction (1952) (8)
- Mathematics And Industry (1963) (8)
- The Influence of Friction and Traveller Weight in R.ing Spinning (1954) (7)
- Balloon Diameters and Thread Tensions Calculated for Different Cap-Spinning Conditions (1953) (6)
- Informal discussion, 9th May, 1957, on diffusion with special reference to high polymers (1957) (5)
- Mathematics and the surgeon. (1976) (3)
- Solution of three-dimensional free boundary problems by variable interchange (1981) (2)
- The Effect of Cap-Edge Friction on Spinning (1954) (2)
- Application to Practical Problems (1981) (2)
- A Comparison of the Rates of Conditioning by Different Methods (1949) (2)
- A METHOD FOR SOLVING MOVING BOUNDARY PROBLEMS IN HEAT FLOW PART II: USING CUBIC POLYNOMIALS. (1972) (2)
- The differential analyser : with diagrams and photographs (1947) (2)
- Matrices their Meaning and Manipulation (1964) (2)
- The Current Interpretation of wave Mechanics (1965) (1)
- The application of the differential analyser to a problem in chemical kinetics (1948) (1)
- Edge effects in diffusion and conductivity measurements (1978) (1)
- Asymptotic Solutions of Differential Equations and their Applications (1965) (1)
- Mathematical Methods For Technologists (1962) (1)
- Dictionary of Mathematics (1962) (1)
- Modern Computing Methods — Notes On Applied Science, No. 16 (1957) (1)
- Space Flight—Volume I—Environment and Celestial Mechanics (1960) (1)
- Use of the Numerical Method (1981) (1)
- Digital Calculating Machines and Their Application to Scientific and Engineering Work (1957) (1)
- Differential Equations for Engineers and Scientists (1961) (1)
- Computers : Their Operation and Application (1956) (1)
- Diffusion in composite media part i : steady-state (1973) (1)
- Introduction to the Diffusion Process (1981) (0)
- An Introduction to Automatic Digital Computers (1957) (0)
- Wave and Diffusion Analogies (1964) (0)
- Some Mathematical Methods of Physics (1960) (0)
- Mathematics by Calculating Machine (1963) (0)
- Industrial Mathematics and National Certificate (1961) (0)
- A Simple Approach to Electronic Computers (1960) (0)
- Analog Methods, Computation and Simulation (1960) (0)
- Introduction to the Mathematics of Diffusion (1981) (0)
- Guide to the Literature of Mathematics and Physics Including Related Works on Engineering Science (1959) (0)
- Lattices to Logic (1965) (0)
- Partial Differential Equations of Mathematical Physics (1961) (0)
- Molecular Motion and the Transfer of Matter (1981) (0)
- Structural engineering for the Elizabeth line: Design of Canary Wharf Elizabeth line station and Crossrail Place oversite development (2018) (0)
- Ordinary Differential Equations (1959) (0)
- Elementary Plane Rigid Dynamics (1965) (0)
- An Introduction to Computational Methods (1962) (0)
- Examples in Applied Mathematics (1959) (0)
- Variational Principles in Heat Transfer. By M. A. BIOT. Oxford University Press, 1970. 185 pp. £4.50. (1971) (0)
- Keynote Address: On Giving a Damn (2016) (0)
- Charles Babbage and his Calculating Engines (1963) (0)
- The Royal Institution Mathematics Masterclasses for Young People, London, U.K. (1983) (0)
- Graffiti Tags as a Method of Defining Space (2010) (0)
- Analysis and Computation of Electric and Magnetic Field Problems (1964) (0)
- Solution of Free Boundary Problems by Interchange of Dependent and Independent Variables (1982) (0)
- Modified finite-difference approximations near the singularitiy in the problem of motz (1976) (0)
- Elementary Dynamics of Particles (1965) (0)
- NONLINEAR DIFFUSION PROBLEMS (1978) (0)
- Automatic Digital Computers (1956) (0)
- The Trachtenberg System of Basic Mathematics (1962) (0)
- Elementary Vector Algebra (1964) (0)
- Elementary Mathematical Programming (1964) (0)
- The Education of Mathematicians (1961) (0)
- This presentation is based largely on the following very lucid book (2003) (0)
- From Industry to Technical Education (1959) (0)
- A Course of Mathematics for Engineers and Scientists. Volume 1 (1962) (0)
- Concentration dependence of diffusion of chloroform in polystyrene (1950) (0)
- A Course in Mathematical Analysis (1960) (0)
- The Dynamical Theory of Slound (1961) (0)
- Mathematical Methods of Physics (1964) (0)
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