Books with Fortran code, other than Fortran textbooks. This branched from the Related Books section of the Fortran Wiki. If you have a book suggestion or if the code of a book is available but not linked here, please create an issue.
Aarseth, Sverre J (2009). Gravitational N-Body Simulations: Tools and Algorithms. Cambridge University Press. Code here, and a descendant is Nbody6++GPU
Akaike, Hirotsugu (1975). TIMSAC-74, a time series analysis and control program package. Institute of Statistical Mathematics. R package timsac: Time Series Analysis and Control has Fortran code.
Akin, J. E. (1994). Finite Elements for Analysis and Design. Academic Press
Alexandrou, Andreas N. (2001). Principles of Fluid Mechanics. Prentice-Hall
Algazin, Sergey D., and Igor A. Kijko (2015). Aeroelastic Vibrations and Stability of Plates and Shells. De Gruyter
Allen, Michael P. and Dominic J. Tildesley (2017). Computer Simulation of Liquids, 2nd. ed.. Oxford University Press. code at GitHub
Anagnostopoulos, Konstantinos (2016). Computational Physics. freely available in Fortran and C++ versions
Angell, Ian O., and Gareth Griffith (1987). High-resolution Computer Graphics Using FORTRAN 77. Palgrave Macmillan
Antia, H.M. (2012). Numerical methods for scientists and engineers, 3rd ed. Hindustan Book Agency.
Axelrod, Robert (1998). The Complexity of Cooperation: Agent-Based Models of Competition and Collaboration. Princeton University Press. Code here
Bagirov, Adil, Napsu Karmitsa, and Marko M. Mäkelä (2014). Introduction to Nonsmooth Optimization: Theory, Practice and Software. Springer
Bagirov, Adil, M. Gaudioso, N. Karmitsa, M. M. Mäkelä, and S. Taheri, (Eds.), (2020). Numerical Nonsmooth Optimization: State of the Art Algorithms. Springer
Bagirov, Adil, Napsu Karmitsa, and Sona Taheri (2020). Partitional Clustering via Nonsmooth Optimization. Springer
Bánhelyi, Balázs, Tibor Csendes, Balázs Lévai, László Pál, and Dániel Zombori (2018). The GLOBAL Optimization Algorithm: Newly Updated with Java Implementation and Parallelization. Springer. Fortran 90 code here and original Fortran code here
Barrett, Richard, Michael Berry, Tony F. Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout, Roldan Pozo, Charles Romine, and Henk van der Vorst (1994). Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, 2nd ed. SIAM. Code here
Bartschat, Klaus (Ed.) (1996). Computational Atomic Physics: Electron and Positron Collisions with Atoms and Ions. Springer
Bathe, Klaus-Jurgen (2014). Finite Element Procedures, 2nd ed.. Prentice Hall. Text here Related code ADINA, OpenSTAP, and STAP90
Beer, Gernot, Ian Smith, and Christian Duenser (2008). The Boundary Element Method with Programming For Engineers and Scientist. Springer
Beer, Gernot (2001). Programming the Boundary Element Method: An Introduction for Engineers. Wiley
Belytschko, Ted, Wing Kam Liu, Brian Moran and Khalil Elkhodary (2013). Nonlinear Finite Elements for Continua and Structures, 2nd Edition. Wiley
Berg, Bernd A (2004). Markov Chain Monte Carlo Simulations and Their Statistical Analysis – With Web-Based Fortran Code. World Scientific
Bertsekas, Dimitri P. (1991) Linear Network Optimization: Algorithms and Codes. MIT Press. Code here
Bertsekas, Dimitri P. (1998) Network Optimization: Continuous and Discrete Models Athena Scientific
Bestehorn, Michael (2018). Computational Physics With Worked Out Examples in FORTRAN and MATLAB. De Gruyter
Bhatt, Prab (2003). Programming the Dynamic Analysis of Structures. CRC
Bierman, Gerald J. (1977). Factorization Methods for Discrete Sequential Estimation Academic Press. (contains Fortran pseudo-code for numerically stable Kalman filters). The code in esl.tgz from Netlib does estimation and smoothing by UDU**T and square root information filter SRIF for Kalman filtering.
Birgin, E.G., and J. M. Martínez (2014). Practical Augmented Lagrangian Methods for Constrained Optimization. SIAM
Blazek, Jiri (2015). Computational Fluid Dynamics: Principles and Applications, 3rd ed.. Butterworth-Heinemann
Bloomfield, Peter (1976). Fourier Analysis of Time Series, 1st ed.. First edition has Fortran code, the 2nd edition, published in 2000, has S-PLUS code.
Boor, Carl de (1978). A Practical Guide to Splines. Springer. Original code here, PPPACK Fortran 90 code here
Bose, Sujit Kumar (2019). Numerical Methods of Mathematics Implemented in Fortran. Springer. reviewed here
Bowyer, Adrian, and John Woodwark (1983). A Programmer's Geometry. Butterworths
Boyd, John P. (2001). Chebyshev and Fourier Spectral Methods. Dover. Modified code here
Brandt, Siegmund (1999). Data Analysis: Statistical and Computational Methods for Scientists and Engineers. Springer
Bratley, Paul, Bennet L. Fox, and Linus E. Schrage (1987). A Guide to Simulation, 2nd. ed.. Springer.
Brázdová, Veronika, and David R. Bowler (2013). Atomistic Computer Simulations: A Practical Guide. Wiley.
Brent, Richard (1973). Algorithms for Minimization without Derivatives. Prentice-Hall, reprinted by Dover in 2002. Code by John Burkardt here.
Bretthorst, G. Larry (1988), Bayesian Spectrum Analysis and Parameter Estimation. Springer. Code is in Appendix E.
Brezinski, Claude, and Michela Redivo Zaglia (1991). Extrapolation methods, theory and practice. North-Holland. Code here.
Britz, Dieter, and Jörg Strutwolf (2016). Digital Simulation in Electrochemistry. Springer. Appendix E describes a number of example programs in Fortran.
Burden, Richard, L., J. Douglas Faires and Annette M. Burden (2016). Numerical Analysis, 10th ed.. Cengage. FORTRAN 77 code here
Burkard, Rainer E., and Ulrich Derigs (1980). Assignment and Matching Problems: Solution Methods with FORTRAN-Programs. Springer. Code here
Castellanos, Kenneth, Andrew Feltenstein, and Gohar Sedrakyan (2024). Computable General Equilibrium Modeling: Theory and Applications. Routledge
Chandra, Prabir K., and R. Paul Singh (1994). Applied Numerical Methods for Food and Agricultural Engineers. CRC Press
Chandra, Rohit, Ramesh Menon, Leo Dagum, David Kohr, Dror Maydan, and Jeff McDonald (2000). Parallel Programming in OpenMP. Morgan Kaufmann
Chandrasekaran, Sunita, and Guido Juckeland (2017). OpenACC for Programmers: Concepts and Strategies. Addison-Wesley. Code here.
Chapman, Barbara et al. (2007). Using OpenMP - Portable Shared Memory Parallel Programming. MIT Press
Chen, W. F., and S. Toma (1994). Advanced Analysis of Steel Frames: Theory, Software, and Applications. CRC Press
Chen, W. F., and I. Sohal (1995). Plastic Design and Second-Order Analysis of Steel Frames. Springer
Cheney, Ward and David Kincaid (2012). Numerical Mathematics and Computing, 7th ed.. Brooks/Cole: Cengage Learning
Ching, Wai-Yim, and Paul Rulis (2012). Electronic Structure Methods for Complex Materials: The orthogonalized linear combination of atomic orbitals. Oxford University Press. Code here.
Chung, T. J. (2010). Computational Fluid Dynamics, 2nd ed.. Cambridge University Press
Clerman, Norman S. and Spector, Walter (2011). Modern Fortran - Style and Usage. Cambridge University Press. reviewed in the Journal of Statistical Software
Cody, William, and William Waite (1980). Software Manual for the Elementary Functions. Prentice Hall. Code at Waite's site
Coker, A. Kayode (1995). Fortran Programs for Chemical Process Design, Analysis, and Simulation. Gulf Professional
Conte, S. D., and Carl de Boor (2017). Elementary Numerical Analysis: An Algorithmic Approach. SIAM. Fortran code here, Matlab code here.
Cook, Robert D., David S. Malkus, Michael E. Plesha, and Robert J. Witt (2001). Concepts and Applications of Finite Element Analysis, 4th ed.. Wiley
Crawley, Stanley W., and Robert M. Dillon (1993) Steel Buildings: Analysis and Design, 4th ed.. Wiley
Cullum, Jane K. and Ralph A. Willoughby (1985) Lanczos Algorithms for Large Symmetric Eigenvalue Computations: Vol. I: Theory. Birkhauser. Code and text of 2nd volume at Netlib
Curotto, Emanuele (2009). Stochastic Simulations of Clusters: Quantum Methods in Flat and Curved Spaces. CRC
Dagpunar, John (1988). Principles of Random Variate Generation. Oxford University Press. Related Fortran 90 code from Alan Miller.
Date, Anil W. (2005). Introduction to Computational Fluid Dynamics. Cambridge University Press
Davies, R.G. (1971). Computer Programming in Quantitative Biology. Academic Press
Davis, Mark E. (1984). Numerical Methods & Modeling for Chemical Engineers. Wiley
Davis, Philip J., and Philip Rabinowitz (1984). Methods of Numerical Integration, 2nd. ed.. Academic Press
Day, A. Colin (1972). Fortran Techniques with Special Reference to Non-numerical Applications. Cambridge University Press
De Gooijer, Jan G. (2017). Elements of Nonlinear Time Series Analysis and Forecasting. Springer
De Graef, Marc (2003). Introduction to Conventional Transmission Electron Microscopy. Cambridge University Press
Demkowicz, Leszek, Jason Kurtz, David Pardo, Maciej Paszynski, Waldemar Rachowicz, and Adam Zdunek (2007). Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications Chapman and Hall/CRC. Hp3d code here.
Dennis, Jr., J.E., and Robert B. Schnabel (1996). Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM. Fortran 90 code for UNCMIN at Alan Miller’s site
de Souza Neto, E.A., D. Peri, and D.R.J. Owen (2008). Computational Methods for Plasticity: Theory and Applications. Wiley. Code at book site and also GitHub
Deutsch, C.V. and A.G. Journel (1997). GSLIB: Geostatistical Software Library and Users Guide, 2nd. ed.. Oxford University Press. Code here
DeVries, Paul L. (1994). A First Course in Computational Physics. Wiley. reviewed here
Devroye, Luc (1986). Non-Uniform Random Variate Generation. Springer. Devroye says“Alan Miller … programmed most algorithms” from the book.
Dhatt, Gouri, and Gilbert Touzot (1984). The Finite Element Method Displayed. Wiley. Code at GitHub
Dhondt, Guido (2004). The Finite Element Method for Three‐Dimensional Thermomechanical Applications. Wiley. Accompanied by finite element software CalculiX.
Dierckx, Paul (1993). Curve and Surface Fitting with Splines. Oxford. Original code here, modernized here.
Elliott, J. Richard, Vladimir Diky, Thomas A. Knotts IV, and W. Vincent Wilding (2023). The Properties of Gases and Liquids, 6th ed.. McGraw-Hill. Code at GitHub
Emanuel, Kerry A. (1994). Atmospheric Convection. Oxford. Code here
Engeln-Müllges, Gisela and Uhlig, Frank (2013). Numerical Algorithms with Fortran. Springer.
Epps, Thomas W. (2007). Pricing Derivative Securities, 2nd. ed.. World Scientific
Erban, Radek, and Jonathan Chapman (2020). Stochastic Modelling of Reaction-Diffusion Processes, Cambridge University Press
Erman, Burak, and James E. Mark (1997). Structures and Properties of Rubberlike Networks. Oxford University Press. Appendix G has "Fortran Program for Monte Carlo Calculations".
Evensen, Geir (2009). Data assimilation, The Ensemble Kalman Filter, 2nd ed.. Springer
Farlow, Stanley J. (1984). Self-Organizing Methods in Modeling: GMDH Type Algorithms. CRC Press
Farrashkhalvat, M., and J.P. Miles (2003). Basic Structured Grid Generation, with an introduction to unstructured grid generation. Butterworth-Heinemann
Fehr, Hans and Kindermann, Fabian (2018). Introduction to Computational Economics Using Fortran. Oxford University Press.
Fenner, D. N. (1987). Engineering stress analysis: A finite element approach with FORTRAN 77 software. Ellis Horwood
Fenner, Roger T. (2013). Finite Element Methods For Engineers, 2nd ed.. Imperial College Press
Fenton, Gordon A., and D. V. Griffiths (2008). Risk Assessment in Geotechnical Engineering. Wiley
Ferziger, Joel H., Peric, Milovan, and Street, Robert L. (2002). Computational Methods for Fluid Dynamics. Springer
Finlayson, Bruce A. (1980). Nonlinear Analysis in Chemical Engineering. McGraw-Hill.
Fischer, Charlotte Frose, Tomas Brage, and Per Jonsson (1997). Computational Atomic Structure: An MCHF Approach. CRC Press. Code here, here, and here
Fletcher, C. A. J. (1998). Computational Techniques for Fluid Dynamics 1: Fundamental and General Techniques. Springer
Fletcher, C. A. J. (1991). Computational Techniques for Fluid Dynamics 2: Specific Techniques for Different Flow Categories. Springer
Fletcher, C. A. J. (1984). Computational Galerkin Methods. Springer
Fletcher, R. (2000). Practical Methods of Optimization, 2nd Edition. Wiley
Fornberg, Bengt (1998). A Practical Guide to Pseudospectral Methods. Cambridge University Press.
Fornés, José Antonio (2021). Principles of Brownian and molecular motors. Springer
Fornés, José Antonio (2024). Quantum Processes in Biology. Springer
Forsythe, George E., Michael A. Malcolm, and Cleve B. Moler (1977). Computer Methods for Mathematical Computations. Prentice-Hall. Original code at Netlib and updated Fortran 90 code by Ralph Carmichael here.
Francq, Christian and Jean‐Michel Zakoian (2019). GARCH Models: Structure, Statistical Inference and Financial Applications, 2nd. ed.. Wiley. Code at Francq’s site
Frenkel, Daan, and Berend Smit (2002). Understanding Molecular Simulation: From Algorithms to Applications, 2nd. ed.. Academic Press.
Fuller, W. R. (1977). FORTRAN Programming: A Supplement for Calculus Courses. Springer
Gallucci, Vincent F., Saul B. Saila, Daniel J. Gustafson, and Brian J. Rothschild (1995). Stock Assessment: Quantitative Methods and Applications for Small Scale Fisheries. CRC Press. Code here
Garcia, Alejandro L. (1994). Numerical Methods for Physics. Prentice Hall
Genz, Alan, and Frank Bretz (2009). Computation of Multivariate Normal and t Probabilities. Springer. Code here and here
George, Alan, and Joseph W. Liu (1981). Computer Solution of Large Sparse Positive Definite Systems. Prentice Hall. Sparsepak code updated by John Burkardt here, book reviewed here.
Gerald, Curtis F., and Patrick O. Wheatley (2004). Applied Numerical Analysis, 7th ed.. Addison-Wesley
Gibbs, B. P. (2011). Advanced Kalman Filtering, Least-Squares, and Modeling, A Practical Handbook. Wiley. The software is included in a single zip file (Gibbs_Software_1_2.zip) located at web site ftp://ftp.wiley.com/public/sci_tech_med/least_squares/
Gill, Philip E., Walter Murray, Margaret H. Wright (1981). Practical Optimization. Academic Press
Giordano, Nicholas J., and Hisao Nakanishi (2005). Computational Physics. Prentice-Hall
Goedecker, Stefan, and Adolfy Hoisie (2001). Performance Optimization of Numerically Intensive Codes. SIAM. Codes here.
Golub, Gene, and Charles Van Loan (2013). Matrix Computations, 4th ed.. Johns Hopkins
Gonin, Rene, and Arthur H. Money (1989). Nonlinear Lp-Norm Estimation. CRC
Green, Peter J., Nils Lid Hjort, and Sylvia Richardson (2003). Highly Structured Stochastic Systems. Oxford University Press. Related code at Green’s site
Greenspan, Donald (2005). Molecular and Particle Modelling of Laminar and Turbulent Flows. World Scientific
Greenspan, Donald (1991). Quasimolecular Modelling. World Scientific
Griffiths, P., and Ian D. Hill (1985). Applied Statistics Algorithms. Ellis Horwood. Applied statistics codes here.
Griffiths, D. Vaughan, and I.M. Smith (2006). Numerical Methods for Engineers, 2nd ed.. CRC. Code at Griffiths’ site
Gropp, William, Torsten Hoefler, Rajeev Thakur and Ewing Lusk (2014). Using Advanced MPI: Modern Features of the Message-Passing Interface. MIT Press.
Gropp, William, Lusk, E. and Skjellum, A. (1999). Using MPI - Portable Parallel Programming with the Message Passing Interface. The MIT Press.
Gu, Chong (2013). Smoothing Spline ANOVA Models, 2nd ed.. Springer
Hageman, L. and D. M. Young (1981). Applied Iterative Methods. Academic Press. Related package: NSPCG
Hager, Georg and Gerhard Wellein (2010). Introduction to High Performance Computing for Scientists and Engineers. CRC
Hager, William (1988). Applied Numerical Linear Algebra. Prentice Hall. NAPACK code at John Burkardt's site
Hairer, Ernst, Syvert P. Nørsett, and Gerhard Wanner (1993). Solving Ordinary Differential Equations I: Nonstiff Problems. Springer. code at Hairer’s site
Hairer, Ernst, and Gerhard Wanner (1996). Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer. code at Hairer’s site
Harrison, Howard B. (1973). Computer methods in structural analysis. Prentice-Hall
Harrison, Howard B. (1990). Structural Analysis and Design: Some Microcomputer Applications, 2nd. ed.. Pergamon
Hartigan, J. A. (1975). Clustering Algorithms. Wiley. Code in the Cluster section of CMLIB.
Heer, Burkhard and Alfred Maussner (2009). Dynamic General Equilibrium Modelling, Computational Methods and Applications. Springer. Code here.
Helffrich, George, James Wookey, and Ian Bastow (2013). The Seismic Analysis Code: A Primer and User's Guide. Cambridge. Code here and manual here.
Hinton, E., and D. Owen (1979). Finite Element Programming. Academic Press
Hjorth-Jensen, Morton (2008). Computational Physics.
Hock, W., and Klaus Schittkowski (1981). Test Examples for Nonlinear Programming Codes. Springer. Code here
Huang, Haibo, Michael C. Sukop, and Xi-Yun Lu (2015). Multiphase Lattice Boltzmann Methods: Theory and Application. Wiley
Hughes, Thomas J. R. (1987). The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Prentice-Hall. Related code DLEARN
IEEE (1981). Programs for Digital Signal Processing. IEEE Press. Reviewed here
Itkin, A. L., and E. G. Kolesnichenko (1997). Microscopic Theory of Condensation in Gases and Plasma. World Scientific
Izaac, Joshua, and Jingbo Wang (2018). Computational Quantum Mechanics. Springer
Kaufman, Leonard, and Peter J. Rousseeuw (1990). Finding Groups in Data: An Introduction to Cluster Analysis. Wiley. Code here
Lee, H. J., and W. E. Schiesser (2004), Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple and Matlab. CRC. Code here.
Javanbakht, Zia, and Andreas Öchsner (2017). Advanced Finite Element Simulation with MSC Marc: Application of User Subroutines. Springer
Jeppson, Roland W. Jeppson (1976). Analysis of Flow in Pipe Networks. Butterworth-Heinemann. Modernization of codes discussed in Recovery of Jeppson Pipe Network Analysis Software by Bob Apthorpe
Jones, Russell K., and Tracy Crabtree (1988). FORTRAN Tools for VAX/VMS and MS-DOS. Wiley
Koenker, Roger (2005). Quantile Regression. Code here.
Knuth, Donald E. (1997). Seminumerical Algorithms, 3rd ed. Code here
Law, Averill M., and W. David Kelton (1999). Simulation Modeling and Analysis, 3rd. ed. McGraw-Hill
Kagiwada, Harriet, Robert Kalaba, Nima Rasakhoo, and Karl Spingarn (1986). Numerical Derivatives and Nonlinear Analysis. Springer
Kahaner, David, Cleve Moler, and Stephen Nash (1998). Numerical Methods and Software. Prentice Hall. Fortran 90 code here
Kampf, Jochen (2010). Advanced Ocean Modelling: Using Open-Source Software. Springer
Kantz, Holger, and Thomas Schreiber (2010). Nonlinear Time Series Analysis. Cambridge University Press. Associated software: TISEAN
Katz, Joseph and Allen Plotkin (2001). Low-Speed Aerodynamics. Cambridge University Press. Code at GitHub
Kearfott, R. Baker (1996). Rigorous Global Search: Continuous Problems. Kluwer
Keeling, Matt J. and Pej Rohani (2007). Modeling Infectious Diseases in Humans and Animals. Princeton University Press
Kernighan, Brian W. and Pike, Rob (1999). The Practice of Programming. Addison-Wesley.
Kheir, Naim (1995). Systems Modeling and Computer Simulation. CRC Press
Kincaid, David and Ward Cheney (2002). Numerical Analysis: Mathematics of Scientific Computing, 3rd ed.. American Mathematical Society. Code here
Kitagawa, Genshiro (2020). Introduction to Time Series Modeling with Applications in R. CRC. Associated R package TSSS: Time Series Analysis with State Space Model has Fortran code.
Klein, Andi, and Alexander Godunov (2006). Introductory Computational Physics. Cambridge University Press. codes in Fortran and C++
Koonin, Steven E., and Dawn C. Meredith (1990). Computational Physics: Fortran Version. Westview Press
Kopriva, David (2009). Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers. Springer. Has Fortran-friendly pseudo-code. The author has contributed routines to the HORSES2D high-order spectral element solver in Fortran.
Kuester, James L., and Joe H. Mize (1973). Optimization Techniques with Fortran. McGraw-Hill
Künzi, Hans P., H. G. Tzschach, and C. A. Zehnder (1968). Numerical Methods of Mathematical Optimization: With ALGOL and FORTRAN Programs. Academic Press
Land, A., and S. Powell (1973). Fortran codes for mathematical programming: linear, quadratic and discrete. Wiley
Lau, Hang Tong (1989). Algorithms on Graphs. Tab Books. Fortran 90 version of code at Burkardt’s site
Lau, Hang Tong (1986). Combinatorial Heuristic Algorithms with FORTRAN. Springer
Lawson, Charles L., and Richard J. Hanson (1995). Solving Least Squares Problems. SIAM original code at Netlib, modernized code at GitHub. Bounded Variable Least Squares Solver here, Nonnegative Least Squares here.
LeVeque, Randall J. (2012). Finite Volume Methods for Hyperbolic Problems. Cambridge University Press
Lee, H.J., and W.E. (2003). Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB. Chapman and Hall/CRC
Lee, Wen Ho (2018). Computational Solid Mechanics for Oil Well Perforator Design. World Scientific
Leffelaar P. A. (1993). On Systems Analysis and Simulation of Ecological Processes with Examples in CSMP and FORTRAN. Springer
Liu, G.R., and M. B. Liu (2003). Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World Scientific. Code at site and at GitHub
Lobo, Michael (1997). Time-Marching: A Step-by-step Guide to a Flow Solver. Gower Technical
Lucquin, Brigitte, and Olivier Pironneau (1998). Introduction to Scientific Computing. Wiley. Fortran and C code at Pironneau’s site
Mabie, Hamilton H., and Charles F. Reinholtz (1987). Mechanisms and Dynamics of Machinery, 4th ed.. Wiley
Marazzi, Alfio (1993). Algorithms, Routines, and S-Functions for Robust Statistics. Chapman and Hall/CRC. FORTRAN 77 code available in robeth R package
Markus, Arjen (2012). Modern Fortran in Practice. Cambridge University Press.
Marple, S. Lawrence (1987). Digital Spectral Analysis with Applications. Prentice-Hall. Reviewed here. Second edition has Matlab code.
Martello, Silvano, and Paolo Toth (1990). Knapsack Problems: Algorithms and Computer Implementations. Wiley.
Mathews, John H. (1992). Numerical Methods For Mathematics, Science, and Engineering, 2nd ed. Prentice-Hall. Code at Netlib
Mattson, Timothy G., Yun (Helen) He, and Alice E. Koniges (2019). The OpenMP Common Core: Making OpenMP Simple Again. MIT Press
McLachlan, Geoffrey, and David Peel (2000). Finite Mixture Models. Wiley. Code for EMMIX is here and described here.
Mielke, Jr., Paul W., and Kenneth J. Berry (2007). Permutation Methods: A Distance Function Approach. Springer. code at Mielke’s site
Miller, Alan (2002). Subset Selection in Regression, 2nd ed.. Chapman and Hall/CRC. code at Miller’s site
Modest, Michael F. (2013), Radiative Heat Transfer, 3rd ed.. Elsevier
Monahan, John F. (2011). Numerical Methods of Statistics, 2nd ed.. Cambridge University Press
Moran, Jack (1984). An Introduction to Theoretical and Computational Aerodynamics. Wiley. Reviewed here
Moré, Jorge J. and Stephen J. Wright (1993). Optimization Software Guide. SIAM. Wright helped create the NEOS Guide
Moursund, David G., and Charles S. Duris (1988). Elementary Theory and Application of Numerical Analysis. Dover
Mudelsee, Manfred (2014). Climate Time Series Analysis: Classical Statistical and Bootstrap Methods, 2nd. ed.. Springer
Mudelsee, Manfred (2020). Statistical Analysis of Climate Extremes. Cambridge University Press
Murtagh, Fionn (1985). Multidimensional Clustering Algorithms. Physica-Verlag. Book and code are at Murtagh's site.
Murtagh, Fionn and Andre Heck (1987). Multivariate Data Analysis, Kluwer, Dordrecht. Code and a later expanded book "Multivariate Data Analysis with Fortran, C, and Java code" is at Murtagh's site.
Musoff, Howard, and Paul Zarchan (2009). Fundamentals of Kalman Filtering: A Practical Approach, 4th ed.. American Institute of Aeronautics and Astronautics
Nazareth, J.L. (2001). DLP and Extensions: An Optimization Model and Decision Support System. Springer. DLPEDU code here
Neculai, Andrei (2020). Nonlinear Conjugate Gradient Methods for Unconstrained Optimization. Springer. Fortran codes at author’s site
Neder, Reinhard B., and Thomas Proffen (2009). Diffuse Scattering and Defect Structure Simulations: A Cook Book Using the Program DISCUS. Oxford University Press. Code at GitHub
Newton, H. Joseph (1988). Timeslab: A Time Series Analysis Laboratory. Wadsworth & Brook/Cole. Timeslab code at author’s site
Ng, Shu Kay, Liming Xiang, and Kelvin Kai Wing Yau (2019). Mixture Modelling for Medical and Health Sciences. CRC Press.
Nguyen, Duc Thai (2024). Parallel-Sparse Statics and Eigen-Solutions. Springer
Nguyen, Duc Thai (2002). Parallel-Vector Equation Solvers for Finite Element Engineering Applications. Springer
Nijenhuis, Albert, and Herbert S. Wilf (1978). Combinatorial Algorithms For Computers and Calculators, 2nd. ed.. Academic Press. Original code at book site, Fortran 90 by Burkardt here
Nocedal, Jorge, and Stephen J. Wright (2006). Numerical Optimization. Springer. Related code at Nocedal’s site
Norouzi, Hamid Reza, Reza Zarghami, Rahmat Sotudeh-Gharebagh, and Navid Mostoufi (2016). Coupled CFD-DEM Modeling: Formulation, Implementation and Application to Multiphase Flows. Wiley
Oliveira, Suely and Stewart, David (2006). Writing Scientific Software - A Guide to Good Style. Cambridge University Press.
Olver, Frank W. J., Daniel W. Lozier, Ronald F. Boisvert, and Charles W. Clark (2010). NIST Handbook of Mathematical Functions. Cambridge University Press. Associated with the NIST Digital Library of Mathematical Functions
Orfanidis, Sophocles J. (1988). Optimum Signal Processing. Wiley
Orlandi, Paolo (2000). Fluid Flow Phenomena: A Numerical Toolkit. Kluwer. Code at author's site
Osyczka, Andrzej (1984). Multicriterion Optimization in Engineering with FORTRAN Programs. Halsted/Wiley
Owen, D. R. J., and Ernest Hinton (1980). Finite Elements in Plasticity: Theory and Practice. Pineridge Press. Reviewed here, related code here
Pacheco, Peter (1996). Parallel Programming with MPI. Morgan Kaufmann
Pang, Tao (2006). An Introduction to Computational Physics, 2nd Edition. Cambridge University Press
Pao, Yen-Ching (1998). Engineering Analysis: Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica. CRC Press
París, Federico, and José Cañas (1997). Boundary Element Method: Fundamentals and Applications. Oxford University Press. Code at Burkardt's site.
Parsons, Thomas W. (1986). Voice and Speech Processing. McGraw-Hill. Appendix B has code for FFT and time series analysis.
Patankar, Suhas V. (1991). Computation of Conduction and Duct Flow Heat Transfer. CRC Press
Pozrikidis, C. (2017). Fluid Dynamics: Theory, Computation, and Numerical Simulation, 3rd ed.. Springer
Pozrikidis, C. (2008). Numerical Computation in Science and Engineering, 2nd. ed.. Oxford University Press
Pozrikidis, C. (2011). Introduction to Theoretical and Computational Fluid Dynamics, 2nd. ed.. Oxford
Pozrikidis, C. (1999). Little Book of Streamlines. Academic Press
Prausnitz, J., T. Anderson, E. Grens, C. Eckert, R. Hsieh, and J. O’Connell, (1980). Computer Calculations for Multicomponent Vapor-Liquid and Liquid-Liquid Equilibria. Prentice-Hall.
Press, Flannery, Teukolsky, and Vetterling (1992). Numerical Recipes in Fortran 77. Cambridge University Press.
Press, Teukolsky, Vetterling and Flannery (1996). Numerical Recipes in Fortran 90 - The Art of Parallel Scientific Computing. Cambridge University Press
Pritsker, A. Alan B. (1995). Introduction to Simulation and SLAM II, 4th ed., Wiley. Reviewed here
Pritsker, A. Alan B. (1969). Simulation with GASP-II: A FORTRAN based simulation language. Prentice-Hall
Rabiner, Lawrence R., and Bernard Gold (1975). Theory and Application of Digital Signal Processing. Prentice Hall
Raman, Raghu (1985). Chemical Process Computations. Springer. Reviewed here.
Ramkarthik, M.S., and Payal D. Solanki (2021). Numerical Recipes in Quantum Information Theory and Quantum Computing: An Adventure in FORTRAN 90. CRC Press
Ramos, Juan Antonio Hernandez, and Lopez, Javier Escoto (2020). How to learn Applied Mathematics through modern FORTRAN. Independently published code and text
Randall, David A. An Introduction to Numerical Modeling of the Atmosphere
Rao, Natti S. (1981). Designing Machines and Dies for Polymer Processing with Computer Programs: FORTRAN and BASIC. Hanser
Reddy, J. N. (2005). An Introduction to the Finite Element Method, 3rd ed.. McGraw-Hill. Code here
Roberson, John A., and Clayton T. Crowe (1997). Engineering Fluid Mechanics, 6th ed.. Wiley. The appendix has programs for (1) finding the velocity distribution in a Couette flow with a variable viscosity distribution, (2) finding values for stream function in converging duct by solving, numerically, Laplace's equation using the line-by-line procedure, (3) analysis of fluid flowing in an extended length Venturi approach section, and (4) the time history of the water surface profile in a basin open to a reservoir with a sinusoidally varying water surface level.
Robey, Robert and Yuliana Zamora (2021). Parallel and High Performance Computing. Manning
Roe, Byron P. (2001). Probability and Statistics in Experimental Physics. Springer
Røed, Lars Petter (2019). Atmospheres and Oceans on Computers: Fundamental Numerical Methods for Geophysical Fluid Dynamics. Springer. Has appendix Introduction to Fortran 2003 via Examples
Rouson, D., J. Xia, and X. Xu (2011). Scientific Software Design - The Object-Oriented Way. Cambridge University Press.
Rousseeuw, Peter J., and Annick M. Leroy (1987). Robust Regression and Outlier Detection. Wiley. A chapter describes the PROGRESS program for robust regression.
Ruetsch, Gregory and Fatica, Massimiliano (2013). CUDA Fortran for Scientists and Engineers. Morgan Kaufmann.
Ruetsch, Gregory and Fatica, Massimiliano (2024). CUDA Fortran for Scientists and Engineers, 2nd ed.. Morgan Kaufmann.
Saad, Yousef (2003). Iterative Methods for Sparse Linear Systems, 2nd Edition. SIAM
Saad, Yousef (2011). Numerical Methods for Large Eigenvalue Problems - 2nd Edition. SIAM
Salmi, Tapio, Johan Wärnå , José Rafael Hernández Carucci and César A. de Araújo Filho (2020). Chemical Reaction Engineering: A Computer-Aided Approach. De Gruyter
Santner, Thomas J., Brian J. Williams, and William I. Notz (2003). The Design and Analysis of Computer Experiments. Springer
Schattke, Wolfgang, and Ricardo Díez Muiño (2013).Quantum Monte-Carlo Programming: For Atoms, Molecules, Clusters, and Solids. Wiley.
Schiesser, W. E., and C. A. Silebi (1997). Computational Transport Phenomena: Numerical Methods for the Solution of Transport Problems. Cambridge University Press. Code here.
Schiesser, W. E. (1993). Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs. CRC. Code here.
Schiesser, W. E. (1991). The Numerical Method of Lines: Integration of Partial Differential Equations 1st ed.. Academic Press
Schittkowski, Klaus (2002). Numerical Data Fitting in Dynamical Systems - A Practical Introduction with Applications and Software. Kluwer
Schittkowski, Klaus (1987). More Test Examples for Nonlinear Programming Codes. Springer. Code here
Schittkowski, Klaus (1980). Nonlinear Programming Codes: Information, Tests, Performance. Springer
Schmid, Erich W., Gerhard Spitz, and Wolfgang Losch (1988). Simulation with GASP-II: A FORTRAN based simulation language. Springer. Reviewed here
Schmidt, Bernd (1987). Model Construction with GPSS-FORTRAN Version 3. Springer.
Scott, L. Ridgway, Terry Clark, and Babak Bagheri (2005). Scientific Parallel Computing. Princeton University Press
Sewell, Granville (2018). Solving Partial Differential Equation Applications with PDE2D. Wiley
Sewell, Granville (2015) The Numerical Solution of Ordinary and Partial Differential Equations, 3rd Ed.. World Scientific
Sewell, Granville (2014). Computational Methods of Linear Algebra, 3rd ed.. World Scientific
Shampine, Lawrence, and Marilyn Gordon (1975). Computer Solution of Ordinary Differential Equations: The Initial Value Problem. Freeman. Code translated to Fortran 90 by John Burkardt.
Shashkov, Mikhail (1996). Conservative Finite-Difference Methods on General Grids. CRC
Shu, Chang (2000). Differential Quadrature and Its Application in Engineering. Springer
Sidi, Avram (2003). Practical Extrapolation Methods: Theory and Applications. Cambridge University Press. Appendix I has a "FORTRAN 77 Program for the d(m)-Transformation".
Sidi, Avram (2017). Vector Extrapolation Methods with Applications. SIAM. Appendix H has "Unified FORTRAN 77 Code for MPE and RRE".
Singh, Nathi (2017). Computational Methods for Physics and Mathematics: With Fortran and C Programmes. Alpha Science
Sinha, Mihir K., and Larry R. Padgett (1985). Reservoir Engineering Techniques Using Fortran. Springer
Siouris, George M. (1996). An Engineering Approach to Optimal Control and Estimation Theory. Wiley
Skiena, Steven (2011). Algorithm Design Manual, 3rd ed.. Fortran codes here
Smetana, Frederick O. (1997). Introductory Aerodynamics and Hydrodynamics of Wings and Bodies: A Software-Based Approach. American Institute of Aeronautics & Astronautics
Smetana, Frederick O. (1981). Fortran Codes for Classical Methods in Linear Dynamics. McGraw-Hill
Smith, I.M., D. V. Griffiths, and L. Margetts (2013). Programming the Finite Element Method, 5th Edition. Wiley. Code at Griffiths’ site and GitHub
Smylie, D. E. (2013). Earth Dynamics: Deformations and Oscillations of the Rotating Earth. Cambridge University Press
Snir, Marc and Gropp, William (1998). MPI - The Complete Reference. The MIT Press.
Späth, Helmuth (1995). Two Dimensional Spline Interpolation Algorithms. CRC
Späth, Helmuth (1995). One Dimensional Spline Interpolation Algorithms. CRC
Späth, Helmuth (1991). Mathematical Algorithms for Linear Regression. Academic Press. Fortran 90 code at John Burkardt’s site
Späth, Helmuth (1980). Cluster Analysis Algorithms. Halsted Press. Fortran 90 code at John Burkardt’s site
Stearns, Samuel D., and Ruth A. David (1992). Signal Processing Algorithms in Fortran and C. Prentice-Hall
Stroud, Arthur (1971). Approximate Calculation of Multiple Integrals. Prentice Hall. Fortran 90 code by John Burkardt here
Stroud, Arthur, and Don Secrest (1966). Gaussian Quadrature Formulas. Prentice Hall. Fortran 90 code by John Burkardt here and by Ivan Pribec here
Szabo, Attila, and Neil S. Ostlund (1989). Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory. McGraw-Hill. Code here
Tanizaki, Hisashi (2004). Computational Methods in Statistics and Econometrics. CRC Press
Thompson, Erik G. (2004). Introduction to the Finite Element Method: Theory, Programming and Applications. Wiley. Fortran and Matlab codes here
Thompson, Ian J., and Filomena M. Nunes (2009). Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions. Cambridge University Press
Thompson, William J. (1997). Atlas for Computing Mathematical Functions: An Illustrated Guide for Practitioners with Programs in FORTRAN and Mathematica. Wiley
Tikhonov, A.N., Goncharsky, A., Stepanov, V.V., and Yagola, A.G. (1995). Numerical Methods for the Solution of Ill-Posed Problems. Springer
Trapp, Michael, and Andreas Öchsner (2018). Computational Plasticity for Finite Elements: A Fortran-Based Introduction. Springer
Traub, Joseph (1964). Iterative Methods for the Solution of Equations Prentice Hall. Code by John Burkardt here
Vallado, David (2022). Fundamentals of Astrodynamics and Applications, 5th ed. Microcosm Press. Code here and here
Villadsen, John, and Michael L. Michelsen (1978). Solution of Differential Equations Models by Polynomial Approximation. Prentice-Hall. Modernized code in stiff3 on GitHub by Ivan Pribec
Vowels, Robin A. (1998). Algorithms and Data Structures in F and Fortran. Unicomp
Walker, Darren (2016). Computational Physics. Mercury Learning. Code at GitHub.
Wang, H. F., and M. P. Anderson (1982). Introduction to groundwater modeling: Finite difference and finite element methods. Freeman. Code at Wang’s site
Wang, Xinwei (2015). Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications. Elsevier
Watson, Neville, and Jos Arrillaga (2003). Power Systems Electromagnetic Transients Simulation. Institution of Engineering and Technology
Wellek, Stefan (2010). Testing Statistical Hypotheses of Equivalence and Noninferiority, 2nd ed.. CRC
Wesseling, Pieter (1992). An Introduction to Multigrid Methods. Wiley. Code by Wesseling here
Weiland, Claus (2010). Computational Space Flight Mechanics. Springer
White, Robert E. (1985). An Introduction to the Finite Element Method with Applications to Nonlinear Problems 1st Ed.. Wiley
White, Robert E. (2016). Computational Mathematics Models, Methods, and Analysis with MATLAB® and MPI, 2nd ed.. CRC
Wilde, Richard E., and Surjit Singh (1997). Statistical Mechanics: Fundamentals and Modern Applications. Wiley
Wolfe, Carvel S. (1985). Linear Programming with BASIC and FORTRAN. Reston Publishing Company
Wolfe, Carvel S. (1973). Linear programming with Fortran. Pearson Scott Foresman
Wright, E. Alaphia (1990). Open Pit Mine Design Models: Introduction With Fortran 77 Programs. Trans Tech Publications
Wu, Lianda, and Mingjiang Zhang (2024). Hansen Coefficients in Satellite Orbital Dynamics. Springer. Code in Appendix D.
Yanushevsky, Rafael (2019). Modern Missile Guidance, 2nd ed.. CRC
Zarchan, Paul (2007). Tactical and Strategic Missile Guidance, 5th ed. American Institute of Aeronautics and Astronautics
Zhou, Xiao-Hua, Donna K. McClish, and Nancy A. Obuchowski (2009). Statistical Methods in Diagnostic Medicine. Wiley
Zienkiewicz, O.C., R. L. Taylor, and J.Z. Zhu (2013). The Finite Element Method: Its Basis and Fundamentals 7th Ed.. Oxford. feappv code at GitHub
Zienkiewicz, O.C., and R. L. Taylor (2013). The Finite Element Method for Solid and Structural Mechanics, 7th Ed.. Elsevier. feappv code at GitHub
Zong, Zhi, and Yingyan Zhang (2009). Advanced Differential Quadrature Methods. CRC
Zubairi, Omair and Fridolin Weber (2018). Introduction to Computational Physics for Undergraduates. Morgan & Claypool