Finite Difference Computing with PDEs
by Hans Petter Langtangen, Svein Linge
Summary
Finite Difference Computing with PDEs: A Modern Software Approach by Hans Petter Langtangen and Svein Linge is a practical, open-access textbook that introduces numerical methods for solving partial differential equations (PDEs) using finite-difference techniques and computer programming.
Rather than focusing only on mathematical theory, it guides readers from the formulation of numerical schemes through algorithm design, Python implementation, verification, and interpretation of simulation results, using examples involving vibration, wave, diffusion, advection-dominated, and nonlinear equations.
The book emphasizes understanding both the mathematical behavior and computational artifacts of numerical solutions, with applications particularly relevant to physics, engineering, and biology.
BOOK PAGE [FREE AS A PDF]
by Hans Petter Langtangen, Svein Linge
Summary
Finite Difference Computing with PDEs: A Modern Software Approach by Hans Petter Langtangen and Svein Linge is a practical, open-access textbook that introduces numerical methods for solving partial differential equations (PDEs) using finite-difference techniques and computer programming.
Rather than focusing only on mathematical theory, it guides readers from the formulation of numerical schemes through algorithm design, Python implementation, verification, and interpretation of simulation results, using examples involving vibration, wave, diffusion, advection-dominated, and nonlinear equations.
The book emphasizes understanding both the mathematical behavior and computational artifacts of numerical solutions, with applications particularly relevant to physics, engineering, and biology.
BOOK PAGE [FREE AS A PDF]
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