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Equations and Analytical Tools in Mathematical Physics [E-Book] : A Concise Introduction /
Table of Contents: ...Part I - Second-order Linear Partial Differential Equations -- Chapter 1 Wave Equation -- Chapter 2 Heat Equation -- Chapter 3 Poisson's Equation -- Chapter 4 Discussion on Second-order Linear Partial Differential Equations -- Part II - Special Functions...

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Stochastic Numerics for Mathematical Physics [E-Book] /
Table of Contents: ...Mean-square Approximation for Stochastic Differential Equations -- Weak Approximation for Stochastic Differential Equations: Foundations -- Weak Approximation for Stochastic Differential Equations: Special Cases -- Numerical Methods for SDEs with Small...

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Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics [E-Book] /
Table of Contents: ...Chapter 1. Introduction -- Chapter 2. Mathematical methods for solving multi-state Smoluchowski equations -- Chapter 3. Investigation of Wave packet dynamics using the presented time-domain method -- Chapter 4. Summary & future scope -- References....

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Physics and Finance [E-Book] /
Table of Contents: ...Chapter 1 - Introduction -- Chapter 2 - Concepts of finance -- Chapter 3 - Portfolio theory and CAPM -- Chapter 4 - Stochastic processes -- Chapter 5 - Black-Scholes differential equation -- Chapter 6 - The Greeks and risk management -- Chapter 7...

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COVID-19 Pandemic Dynamics [E-Book] : Mathematical Simulations /
Table of Contents: ...Introduction -- Data used for calculations, comparisons and verifications -- Classical SIR model and the exact solution of differential equations -- Results of SIR simulation for the pandemic dynamics in different countries and regions -- Procedures...

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Mathematical Modeling of Biosensors [E-Book] /
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Computational Molecular Magnetic Resonance Imaging for Neuro-oncology [E-Book] /
Table of Contents: ... At Suction Points -- Chapter 5. A Computational Magnetic Resonance Imaging Based On Bloch Nmr Flow Equation, Mri Finger Printing, Python Deep Learning For The Classification Of Adult Brain Tumours -- Chapter 6. Analysis Of Hydrogen-Like Ions For Neurocomputing...

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Inside Interesting Integrals [E-Book] : A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus Numerous Challenge Problems with Complete, Detailed Solutions) /
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The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics [E-Book] : A Primer for Advanced Undergraduates /
Table of Contents: ...Weierstrass Elliptic Function -- Weierstrass Quasi-periodic Functions -- Real Solutions of Weierstrass Equation -- Applications in Classical Mechanics -- Applications in Quantum Mechanics -- Epilogue and Projects for the Advanced Reader....

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The Painlevé Handbook [E-Book] /
Table of Contents: ...1. Introduction -- 2. Singularity analysis: Painlevé test -- 3. Integrating ordinary differential equations -- 4. Partial Differential Equations: Painlevé test -- 5. From the test to explicit solutions of PDEs -- 6. Integration of Hamiltonian Systems...

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Compressible Fluid Dynamics and Shock Waves [E-Book] /
Table of Contents: ...Propagation of pressure waves -- Motions of gas particles related to thermodynamics -- Basic equations for flow -- Discontinuity -- Quasi-one-dimensional flows -- System with source terms -- Two-dimensional flows -- Unsteady, one-dimensional flows...

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50 Years of CFD in Engineering Sciences [E-Book] : A Commemorative Volume in Memory of D. Brian Spalding /
Table of Contents: ... for Time and Space Domains and Discretization of Equations for General Purpose Computational Fluid Dynamics Programs and Historical Perspective of Some Key Developments -- A Finite Volume Procedure for Thermofluid System Analysis in a Flow Network -- Modeling...

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Almost Periodicity, Chaos, and Asymptotic Equivalence [E-Book] /
Table of Contents: ... Dichotomous Linear EPCAG -- Chapter 7. Functional Response on Piecewise Constant Argument -- Chapter 8. SICNN with Functional REsponse on PCA -- Chapter 9. Differential Equations on Time SCales -- Chapter 10. Almost Periodicity in Chaos -- Chapter 11. Homoclinic...

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Analysis for Computer Scientists [E-Book] : Foundations, Methods, and Algorithms /
Table of Contents: ... Integrals -- Taylor Series -- Numerical Integration -- Curves -- Scalar-Valued Functions of Two Variables -- Vector-Valued Functions of Two Variables -- Integration of Functions of Two Variables -- Linear Regression -- Differential Equations -- Systems...

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Contact Mechanics [E-Book] /
Table of Contents: ... Equations -- D Dundurs Bimaterial Constants -- Index....

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Applied Scientific Computing [E-Book] : With Python /
Table of Contents: ...Motivation and Background -- Number Representations and Errors -- Numerical Calculus -- Linear Equations -- Iterative Solution of Nonlinear Equations -- Interpolation -- Differential Equations....

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Programming Phase-Field Modeling [E-Book] /
Table of Contents: ...An overview of the Phase-Field Method and Its Formulism -- Introduction to numerical solution of Partial Differential Equations -- Preliminaries about the codes -- Solving Phase-Field models with finite difference algorithm -- Solving phase-field model...

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Fluid Dynamics [E-Book] : Theory, Computation, and Numerical Simulation /
Table of Contents: ...Introduction to Kinematics -- More on Kinematics -- Flow Computation based on Kinematics -- Forces and Stresses -- Hydrostatics -- Equation of Motion and Vorticity Transport -- Channel, Tube, and Film Flow -- Finite-Difference Methods -- Low-Reynolds...

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Linear Algebra for Computational Sciences and Engineering [E-Book] /
Table of Contents: ...Basic Mathematical Thinking -- Matrices -- Systems of Linear Equations -- Geometric Vectors -- Complex Numbers and Polynomials -- An Introduction to Geometric Algebra and Conics -- An Overview of Algebraic Structures -- Vector Spaces -- Linear Mappings...

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Numerical and Symbolic Scientific Computing [E-Book] : Progress and Prospects /