From Your First Program to Numerical Methods and Parallel Computing

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Write fast, trustworthy scientific code in modern Fortran.

Fortran still powers weather and climate models, engineering simulations, and physics codes around the world — and modern Fortran is nothing like the punched-card language many people imagine. It has whole-array arithmetic, modules, derived types, object-oriented features, built-in parallelism, and excellent optimizing compilers. This book teaches the modern language from the first page, together with the habits that make scientific code correct: choosing precision deliberately, handling errors, testing numerical results, and measuring performance. Every chapter ends with graded exercises and worked solutions.

• 486 pages · 28 chapters + 4 appendices
• Setup with gfortran, Intel ifx, or LLVM flang, and the Fortran Package Manager (fpm)
• Types, kinds, and floating-point precision — and the numerical pitfalls to avoid
• Arrays in depth: sections, masks, reductions, and allocatable arrays
• Procedures, modules, derived types, object-oriented and generic programming
• File I/O, error handling, testing, debugging, and interoperability with C and Python
• Root finding, integration, linear algebra with LAPACK, ODEs, and grid simulations
• Performance tuning, do concurrent, OpenMP, coarrays, and modernizing FORTRAN 77 code
• A complete case study: a rainfall–runoff river-flow model built as a real fpm project

Table Of Contents

Part I — Getting Started

• Ch 1 · Why Fortran Today: Where It Shines in Science and Engineering
• Ch 2 · Setting Up: Compilers, the Fortran Package Manager, and Your First Program
• Ch 3 · Variables, Types, and Kinds: Integers, Reals, and Precision
• Ch 4 · Expressions, Intrinsic Functions, and Basic Input and Output
• Ch 5 · Control Flow: if, select case, and do Loops

Part II — Arrays and Numerical Building Blocks

• Ch 6 · Arrays: Declaration, Indexing, and Whole-Array Operations
• Ch 7 · Array Sections, Constructors, Masks, and Reductions
• Ch 8 · Allocatable Arrays and Dynamic Memory
• Ch 9 · Character Strings and Text Processing
• Ch 10 · Floating-Point Arithmetic: Precision, Rounding, and Numerical Pitfalls

Part III — Structuring Programs

• Ch 11 · Procedures: Functions and Subroutines
• Ch 12 · Arguments in Depth: intent, optional, Assumed-Shape Arrays, pure and elemental
• Ch 13 · Modules: Organizing Code, Visibility, and Explicit Interfaces
• Ch 14 · Derived Types: Building Your Own Data Structures
• Ch 15 · File Input and Output: Formatted, Unformatted, and Stream Access

Part IV — Modern Fortran Features

• Ch 16 · Object-Oriented Fortran: Type-Bound Procedures, Extension, and Polymorphism
• Ch 17 · Generic Programming: Generic Interfaces, Operator Overloading, and Abstract Interfaces
• Ch 18 · Robust Programs: Error Handling with iostat, stat, and error stop
• Ch 19 · Interoperability: Calling C from Fortran and Fortran from C and Python
• Ch 20 · Testing, Debugging, and Tooling: Compiler Checks, Unit Tests, and fpm

Part V — Numerical Methods in Practice

• Ch 21 · Root Finding and Numerical Integration
• Ch 22 · Linear Algebra: Solving Systems and Using BLAS and LAPACK
• Ch 23 · Ordinary Differential Equations: Euler and Runge–Kutta Methods
• Ch 24 · Simulations on Grids: Finite Differences and Diffusion
• Ch 25 · Performance: Memory Layout, Profiling, and Optimization

Part VI — Parallel Computing, Legacy Code, and Case Study

• Ch 26 · Parallel Fortran: do concurrent, OpenMP, and an Introduction to Coarrays
• Ch 27 · Working with Legacy Code: From FORTRAN 77 to Modern Fortran
• Ch 28 · Case Study: Building the Riverbend River-Flow Model

Appendices

• App A · Modern Fortran Cheat Sheet
• App B · Templates and Reference Tables
• App C · Code Review and Numerical Checklist
• App D · Glossary

WHO IT IS FOR
Students and researchers in science and engineering, programmers joining a project with existing Fortran code, Python, MATLAB, and C users who need fast numerical code, and anyone curious about the language behind much of scientific computing.

FORMAT
PDF (A4), 486 pages, English, clickable table of contents and PDF bookmarks. 1st Edition, 2026. Published by thenexbooks.

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